jeff quadratic root 2
Time bar (total: 2.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 34.4% | 34.3% | 65.5% | 0.1% | 0% | 0% | 0% | 6 |
| 40% | 37.4% | 56.2% | 0.1% | 0% | 6.2% | 0% | 7 |
| 44.2% | 41.3% | 52.3% | 0.1% | 0% | 6.2% | 0% | 8 |
| 54.3% | 49.5% | 41.7% | 0.1% | 0% | 8.6% | 0% | 9 |
| 61% | 52.9% | 33.7% | 0.1% | 0% | 13.3% | 0% | 10 |
| 66.9% | 57.4% | 28.4% | 0.1% | 0% | 14% | 0% | 11 |
| 72.5% | 60.6% | 22.9% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 40 to 22 computations (45% saved)
| 24.0ms | 260× | 0 | valid |
| 3.0ms | 32× | 0 | invalid |
ival-mult: 8.0ms (39.8% of total)ival-div: 3.0ms (14.9% of total)ival-sub: 2.0ms (9.9% of total)ival-sqrt: 2.0ms (9.9% of total)ival-add: 1.0ms (5% of total)ival-if: 1.0ms (5% of total)ival->=: 1.0ms (5% of total)ival-neg: 1.0ms (5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 109 | 0 | - | 1 | (4.124893690369239e-207 -8.700126830152484e-178 -5.537107626298895e-118) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 57 | 23 | (4.878923180969481e-245 -1.856315800014542e+126 -5.902390265842641e-44) | 0 | - | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 53 | 39 | (-4.845639369562008e-266 2.10350679346686e+30 8.585961857039657e-246) | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 24 | 0 | - | 24 | (-3.817887198203499e-287 3.5690145091288475e+120 -2.2202285757741348e-59) | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 11 | 0 | - | 11 | (2.844814276832406e-144 -8.216315716611849e+156 1.744960163766911e-11) | (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
| 4 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) c) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) a) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) a) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | (>=.f64 b #s(literal 0 binary64)) |
| 0 | 0 | - | 0 | - | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 0 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 4 binary64) a) c) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | oflow-rescue | 100 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | overflow | 100 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 27 | |
| ↳ | (*.f64 b b) | overflow | 85 | |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | cancellation | 92 | 0 |
-.f64 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | cancellation | 80 | 0 |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | uflow-rescue | 8 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 8 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 46 | |
| ↳ | (*.f64 b b) | underflow | 42 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | nan-rescue | 4 | 0 |
| ↳ | (*.f64 b b) | overflow | 85 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 27 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 77 | 1 |
| - | 117 | 61 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 77 | 0 | 1 |
| - | 117 | 0 | 61 |
| number | freq |
|---|---|
| 0 | 62 |
| 1 | 108 |
| 2 | 82 |
| 3 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 231.0ms | 828× | 2 | valid |
| 189.0ms | 972× | 1 | valid |
| 116.0ms | 1 056× | 0 | valid |
| 77.0ms | 216× | 3 | valid |
Compiled 5 700 to 984 computations (82.7% saved)
ival-mult: 82.0ms (19.7% of total)adjust: 74.0ms (17.8% of total)ival-div: 71.0ms (17% of total)ival-sub: 60.0ms (14.4% of total)ival-sqrt: 48.0ms (11.5% of total)ival-add: 27.0ms (6.5% of total)ival-if: 25.0ms (6% of total)ival-neg: 12.0ms (2.9% of total)ival->=: 9.0ms (2.2% of total)exact: 4.0ms (1% of total)ival-true: 3.0ms (0.7% of total)ival-assert: 1.0ms (0.2% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 355 |
| 1 | 203 | 336 |
| 2 | 538 | 336 |
| 3 | 1315 | 329 |
| 4 | 3168 | 329 |
| 5 | 6376 | 329 |
| 6 | 7834 | 329 |
| 0 | 20 | 38 |
| 0 | 33 | 38 |
| 1 | 54 | 37 |
| 2 | 102 | 37 |
| 3 | 215 | 36 |
| 4 | 357 | 36 |
| 5 | 573 | 36 |
| 6 | 1041 | 36 |
| 7 | 2104 | 36 |
| 8 | 2894 | 36 |
| 9 | 3123 | 36 |
| 10 | 3214 | 36 |
| 11 | 3215 | 36 |
| 12 | 3215 | 36 |
| 13 | 3257 | 36 |
| 14 | 3313 | 36 |
| 15 | 3317 | 36 |
| 16 | 3317 | 36 |
| 0 | 3317 | 34 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 c (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
Compiled 38 to 20 computations (47.4% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| 71.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
Compiled 76 to 40 computations (47.4% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 38 |
| 1 | 35 | 37 |
| 2 | 59 | 37 |
| 3 | 79 | 37 |
| 4 | 94 | 37 |
| 5 | 107 | 37 |
| 6 | 112 | 37 |
| 7 | 115 | 37 |
| 8 | 116 | 37 |
| 1× | saturated |
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 (neg.f64 c) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 4 binary64)) c))) b)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 4 binary64)) c))) b) (*.f64 a #s(literal 2 binary64)))) |
| 1× | fuel |
Compiled 37 to 20 computations (45.9% saved)
Compiled 150 to 80 computations (46.7% saved)
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