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        "ratio_to_control_median": 89356.32258064512,
        "specific": true,
        "target": 16
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      {
        "control_max": 7.062474338157759e-8,
        "control_median": 3.5312371690788794e-8,
        "flux": 0.0023742956571560386,
        "invention": "hub 2",
        "ratio_to_control_median": 67236.935483871,
        "specific": true,
        "target": 17
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      {
        "control_max": 8.332580610261937e-6,
        "control_median": 5.120293895164377e-7,
        "flux": 0.002515025140768328,
        "invention": "hub 2",
        "ratio_to_control_median": 4911.876529477197,
        "specific": true,
        "target": 18
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      {
        "control_max": 5.2968557536183195e-8,
        "control_median": 2.6484278768091598e-8,
        "flux": 0.0023665377569173254,
        "invention": "hub 2",
        "ratio_to_control_median": 89356.3225806452,
        "specific": true,
        "target": 19
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      {
        "control_max": 5.2968557536183195e-8,
        "control_median": 2.6484278768091598e-8,
        "flux": 0.002366537756917326,
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        "ratio_to_control_median": 89356.32258064521,
        "specific": true,
        "target": 20
      },
      {
        "control_max": 1.5890567260854959e-7,
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        "flux": 0.00709961327075198,
        "invention": "hub 2",
        "ratio_to_control_median": 89356.32258064525,
        "specific": true,
        "target": 21
      },
      {
        "control_max": 1.7656185845394397e-8,
        "control_median": 1.7656185845394397e-8,
        "flux": 0.0023536464630326587,
        "invention": "hub 3",
        "ratio_to_control_median": 133304.35483870973,
        "specific": true,
        "target": 22
      },
      {
        "control_max": 1.7656185845394397e-8,
        "control_median": 1.7656185845394397e-8,
        "flux": 0.002353646463032659,
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        "ratio_to_control_median": 133304.35483870975,
        "specific": true,
        "target": 23
      },
      {
        "control_max": 1.7656185845394397e-8,
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        "flux": 0.002353646463032659,
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        "ratio_to_control_median": 133304.35483870975,
        "specific": true,
        "target": 24
      },
      {
        "control_max": 1.7656185845394397e-8,
        "control_median": 1.7656185845394397e-8,
        "flux": 0.002353646463032659,
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        "target": 25
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      {
        "control_max": 1.7656185845394397e-8,
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        "flux": 0.0023536464630326596,
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        "ratio_to_control_median": 133304.35483870978,
        "specific": true,
        "target": 26
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      {
        "control_max": 5.2968557536183195e-8,
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        "flux": 0.00235368177540435,
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        "ratio_to_control_median": 133306.35483870975,
        "specific": true,
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    ]
  },
  "plan_sha256": "0bcc2e8169241421c0a4e22848efaf9772cbc50efec617b48a7fa7c0c6112524",
  "programs": {
    "depth1": 84,
    "depth2": 14112,
    "depth3": 2370816,
    "total": 2385012
  },
  "runtime_seconds": 55.424905917,
  "scope": "static neutral accessibility on a chain genome (depth <= 3); no evolution, no fitness",
  "sources": {
    "ancestor": "mask_xor(a,b)",
    "controls": [
      [
        "safe_mod(a,mask_xor(a,b))",
        "min(a,mask_xor(a,b))",
        "mul_sat(a,mask_xor(a,b))",
        "sub(a,mask_xor(a,b))",
        "pack_u8(a,mask_xor(a,b))",
        "mask_union(a,mask_xor(a,b))",
        "fnv1a_step(a,mask_xor(a,b))",
        "safe_mod(mask_xor(a,b),b)"
      ],
      [
        "unit_div(crc16_step(a,b),b)",
        "unit_mul_check(a,toggle_bit(a,b))",
        "norm2_sq(a,mask_has_any(a,b))",
        "combined_percent_increase(a,mask_missing_any(a,b))",
        "gcd(a,ceil_div(a,b))",
        "ceil_div(a,eq(a,b))",
        "crc16_step(a,mask_clear(a,b))",
        "increase_percent(a,norm2_sq(a,b))"
      ],
      [
        "is_lt(a,is_ge(a,b))",
        "crc16_step(percent_round(a,b),b)",
        "sub(is_le(a,b),b)",
        "hash_pair(a,unit_cancel_check(a,b))",
        "permille(a,gcd(a,b))",
        "combined_percent_discount(safe_mod(a,b),b)",
        "polygonal_number(unit_div(a,b),b)",
        "mask_missing_any(min(a,b),b)"
      ],
      [
        "hash_pair_sym(snap_up(a,b),b)",
        "scale_percent(a,min(a,b))",
        "min(divides(a,b),b)",
        "unit_cancel_check(a,q_div(a,b))",
        "pow_small(set_bit(a,b),b)",
        "round_div(a,mask_has_all(a,b))",
        "pow_small(a,rotr16(a,b))",
        "add_sat(safe_mod(a,b),b)"
      ],
      [
        "is_gt(a,crc8_step(a,b))",
        "mask_overlap_count(mask_overlap_count(a,b),b)",
        "combined_percent_increase(q_div(a,b),b)",
        "q_mul(shl(a,b),b)",
        "is_ge(is_le(a,b),b)",
        "sub(a,num_digits_base(a,b))",
        "discount_percent(rotr16(a,b),b)",
        "is_palindromic_number(a,max(a,b))"
      ]
    ],
    "inventions": [
      {
        "distance_from_ancestor": 1,
        "name": "EX-11 enzyme",
        "program": "add_sat(a,mask_xor(a,b))"
      },
      {
        "distance_from_ancestor": 2,
        "name": "hub 0",
        "program": "days_in_month(mul_sat(a,b),b)"
      },
      {
        "distance_from_ancestor": 2,
        "name": "hub 1",
        "program": "sub_sat(a,is_lt(a,b))"
      },
      {
        "distance_from_ancestor": 2,
        "name": "hub 2",
        "program": "mask_has_any(mask_has_none(a,b),b)"
      },
      {
        "distance_from_ancestor": 2,
        "name": "hub 3",
        "program": "crc8_step(a,mask_intersection(a,b))"
      }
    ]
  },
  "specificity": {
    "chance_rate": 0.1111111111111111,
    "criterion": "posable iff own >= 0.8, other <= 0.25, independent <= 0.25",
    "ex11_enzyme_hub_extensions": {
      "pairs": 24,
      "rate": 0.0
    },
    "hub_other_extensions": {
      "pairs": 72,
      "rate": 0.0
    },
    "hub_own_extensions": {
      "median_ratio_to_control_median": 89356.32258064524,
      "pairs": 24,
      "pairs_with_zero_control_median": 10,
      "rate": 1.0
    },
    "independent_targets": {
      "pairs": 120,
      "rate": 0.041666666666666664
    },
    "k": 3,
    "posable": true
  },
  "targets": [
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      "ancestor_cumulative_flux_k1_to_k5": [
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      "control_flux_k3": [
        {
          "flux": [
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        {
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            0.000019471925215559467,
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        }
      ],
      "example_program": "days_in_month(mul_sat(a,b),b)",
      "first_depth": 2,
      "function_id": 5731,
      "hub": 0,
      "invention_cumulative_flux_k1_to_k3": [
        {
          "flux": [
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          "invention": "hub 2"
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          "flux": [
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          "invention": "hub 3"
        }
      ],
      "min_distance_from_ancestor": 2,
      "programs_computing": 7,
      "role": "hub",
      "target": 0
    },
    {
      "ancestor_cumulative_flux_k1_to_k5": [
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      "control_flux_k3": [
        {
          "flux": [
            0.000015781212819489926,
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          "invention": "EX-11 enzyme"
        },
        {
          "flux": [
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        },
        {
          "flux": [
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          "invention": "hub 1"
        },
        {
          "flux": [
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        },
        {
          "flux": [
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          "invention": "hub 3"
        }
      ],
      "example_program": "sub_sat(a,is_lt(a,b))",
      "first_depth": 2,
      "function_id": 4034,
      "hub": 1,
      "invention_cumulative_flux_k1_to_k3": [
        {
          "flux": [
            0.0,
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          "invention": "EX-11 enzyme"
        },
        {
          "flux": [
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          "invention": "hub 0"
        },
        {
          "flux": [
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          "invention": "hub 1"
        },
        {
          "flux": [
            0.0,
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          "invention": "hub 2"
        },
        {
          "flux": [
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          "invention": "hub 3"
        }
      ],
      "min_distance_from_ancestor": 2,
      "programs_computing": 41,
      "role": "hub",
      "target": 1
    },
    {
      "ancestor_cumulative_flux_k1_to_k5": [
        0.0,
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        0.0002517954969192347,
        0.0003456839627971004
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      "control_flux_k3": [
        {
          "flux": [
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          "invention": "EX-11 enzyme"
        },
        {
          "flux": [
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        },
        {
          "flux": [
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        },
        {
          "flux": [
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        }
      ],
      "example_program": "mask_has_any(mask_has_none(a,b),b)",
      "first_depth": 2,
      "function_id": 4888,
      "hub": 2,
      "invention_cumulative_flux_k1_to_k3": [
        {
          "flux": [
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          "invention": "EX-11 enzyme"
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        },
        {
          "flux": [
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          "invention": "hub 2"
        },
        {
          "flux": [
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        }
      ],
      "min_distance_from_ancestor": 2,
      "programs_computing": 117,
      "role": "hub",
      "target": 2
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    {
      "ancestor_cumulative_flux_k1_to_k5": [
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      "control_flux_k3": [
        {
          "flux": [
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        {
          "flux": [
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        },
        {
          "flux": [
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          "flux": [
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          "flux": [
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          "invention": "hub 3"
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      ],
      "example_program": "crc8_step(a,mask_intersection(a,b))",
      "first_depth": 2,
      "function_id": 4968,
      "hub": 3,
      "invention_cumulative_flux_k1_to_k3": [
        {
          "flux": [
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        {
          "flux": [
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          "flux": [
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        }
      ],
      "min_distance_from_ancestor": 2,
      "programs_computing": 30,
      "role": "hub",
      "target": 3
    },
    {
      "ancestor_cumulative_flux_k1_to_k5": [
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      "control_flux_k3": [
        {
          "flux": [
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          "invention": "EX-11 enzyme"
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      "example_program": "mul_sat(a,centered_polygonal_number(a,mask_has_any(a,b)))",
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          "invention": "hub 2"
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      "example_program": "mask_overlap_count(a,crc8_step(bit_is_clear(a,b),b))",
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        {
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          "invention": "hub 2"
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          "invention": "hub 3"
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      "control_flux_k3": [
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      "example_program": "avg2(q_div_checked(shr(a,b),b),b)",
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          "invention": "hub 2"
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      "control_flux_k3": [
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      "example_program": "sum_digit_powers(a,is_polygonal_number(a,shl(a,b)))",
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          "invention": "EX-11 enzyme"
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          "flux": [
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          "invention": "hub 2"
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        {
          "flux": [
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          "invention": "hub 3"
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      ],
      "example_program": "lcm(mask_has_any(add_sat(a,b),b),b)",
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          "invention": "EX-11 enzyme"
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          "invention": "hub 2"
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          "invention": "hub 3"
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    {
      "ancestor_cumulative_flux_k1_to_k5": [
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      "control_flux_k3": [
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        {
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          "invention": "hub 3"
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      ],
      "example_program": "sub(a,permille(ratio_255(a,b),b))",
      "first_depth": 3,
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      "hub": null,
      "invention_cumulative_flux_k1_to_k3": [
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          "invention": "hub 2"
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          "invention": "hub 3"
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    {
      "ancestor_cumulative_flux_k1_to_k5": [
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      "control_flux_k3": [
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      "example_program": "percent(a,unit_div(abs_diff(a,b),b))",
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      "function_id": 30962,
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        {
          "flux": [
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      "min_distance_from_ancestor": 3,
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      "target": 39
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    {
      "ancestor_cumulative_flux_k1_to_k5": [
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      "control_flux_k3": [
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      "example_program": "pow_small(discount_percent(a,mul_sat(a,b)),b)",
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          "invention": "hub 2"
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      "control_flux_k3": [
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      "example_program": "snap_down(hamming_distance16(a,mask_has_any(a,b)),b)",
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          "invention": "EX-11 enzyme"
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          "flux": [
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          "invention": "hub 2"
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          "invention": "hub 3"
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      "min_distance_from_ancestor": 3,
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      "control_flux_k3": [
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      "example_program": "mask_intersection(a,percent(round_div(a,b),b))",
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          "invention": "hub 2"
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      "min_distance_from_ancestor": 3,
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      "control_flux_k3": [
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      "example_program": "rotr16(avg2(a,norm2_sq(a,b)),b)",
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          "invention": "EX-11 enzyme"
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          "invention": "hub 1"
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        {
          "flux": [
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          "invention": "hub 2"
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        {
          "flux": [
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          "invention": "hub 3"
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      "min_distance_from_ancestor": 3,
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    {
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      "control_flux_k3": [
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      ],
      "example_program": "harmonic_mean2(scale_percent(ceil_div(a,b),b),b)",
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          "invention": "hub 0"
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          "invention": "hub 1"
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          "flux": [
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          "invention": "hub 2"
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          "invention": "hub 3"
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      "min_distance_from_ancestor": 3,
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    {
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      "control_flux_k3": [
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      ],
      "example_program": "mul_sat(a,q_mul_checked(a,increase_percent(a,b)))",
      "first_depth": 3,
      "function_id": 417878,
      "hub": null,
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          "invention": "hub 1"
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          "flux": [
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          "invention": "hub 2"
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      "target": 45
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    {
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      "control_flux_k3": [
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  "type": "ap1_chain_accessibility",
  "validation": {
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}