Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, I
Time bar (total: 3.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 5 |
| 6.3% | 6.2% | 93.4% | 0.3% | 0% | 0% | 0% | 6 |
| 6.3% | 6.2% | 93.4% | 0.3% | 0% | 0% | 0% | 7 |
| 6.3% | 6.2% | 93.4% | 0.3% | 0% | 0% | 0% | 8 |
| 9.4% | 9.3% | 90.3% | 0.3% | 0% | 0% | 0% | 9 |
| 9.4% | 9.3% | 90.3% | 0.3% | 0% | 0% | 0% | 10 |
| 9.4% | 9.3% | 90.3% | 0.3% | 0% | 0% | 0% | 11 |
| 11% | 9.6% | 77.6% | 0.3% | 0% | 12.5% | 0% | 12 |
Compiled 35 to 30 computations (14.3% saved)
| 33.0ms | 260× | 0 | valid |
| 25.0ms | 209× | 0 | invalid |
ival-mult: 12.0ms (28.8% of total)ival-div: 11.0ms (26.4% of total)ival-add: 6.0ms (14.4% of total)ival-sub: 6.0ms (14.4% of total)ival-exp: 3.0ms (7.2% of total)ival-sqrt: 3.0ms (7.2% of total)exact: 1.0ms (2.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 21 | 0 | - | 2 | (5.884029386246523e+97 -1.4998491707958098e+123 -3.026405253867124e-299 1.3133775069319646e-77 1.2550915737368634e-40 -1.2759740215493364e+113 5441321520.643452) | (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) |
| 9 | 0 | - | 0 | - | (-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64)))))) |
| 1 | 0 | - | 0 | - | (exp.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64)))))))) |
| 0 | 0 | - | 0 | - | (*.f64 t #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64)))) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 5 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64))) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 5 binary64) #s(literal 6 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 t a)) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y (exp.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64))))))))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64))))))) |
| 0 | 0 | - | 0 | - | (*.f64 z (sqrt.f64 (+.f64 t a))) |
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 y (exp.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64)))))))))) |
| 0 | 0 | - | 0 | - | (-.f64 b c) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 6 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64))))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 t a) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (/.f64 x (+.f64 x (*.f64 y (exp.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64))))))))))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) | o/n | 13 | 0 |
| ↳ | (*.f64 z (sqrt.f64 (+.f64 t a))) | overflow | 23 | |
-.f64 | (-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64)))))) | nan-rescue | 9 | 0 |
| ↳ | (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) | overflow | 37 | |
| ↳ | (*.f64 z (sqrt.f64 (+.f64 t a))) | overflow | 23 | |
| ↳ | (*.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64))))) | overflow | 103 | |
exp.f64 | (exp.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64)))))))) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 14 | 0 |
| - | 9 | 233 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 14 | 0 | 0 |
| - | 9 | 0 | 233 |
| number | freq |
|---|---|
| 0 | 233 |
| 1 | 23 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 432.0ms | 3 012× | 0 | valid |
| 18.0ms | 60× | 1 | valid |
Compiled 9 312 to 1 368 computations (85.3% saved)
ival-mult: 78.0ms (27.9% of total)ival-div: 72.0ms (25.8% of total)ival-add: 42.0ms (15% of total)ival-sub: 36.0ms (12.9% of total)ival-exp: 19.0ms (6.8% of total)ival-sqrt: 19.0ms (6.8% of total)adjust: 5.0ms (1.8% of total)exact: 5.0ms (1.8% of total)ival-true: 2.0ms (0.7% of total)ival-assert: 1.0ms (0.4% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 330 | 1114 |
| 1 | 791 | 1028 |
| 2 | 2271 | 1020 |
| 0 | 28 | 31 |
| 0 | 46 | 31 |
| 1 | 71 | 29 |
| 2 | 153 | 29 |
| 3 | 622 | 29 |
| 4 | 3335 | 29 |
| 0 | 8289 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 x (*.f64 y (exp.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64))))))))))) |
| Outputs |
|---|
(/.f64 x (+.f64 x (*.f64 y (exp.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64))))))))))) |
(/.f64 x (fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 c b) (-.f64 (-.f64 a (/.f64 #s(literal 2/3 binary64) t)) #s(literal -5/6 binary64)) (*.f64 (/.f64 z t) (sqrt.f64 (+.f64 a t))))) y x)) |
Compiled 33 to 28 computations (15.2% saved)
Compiled 0 to 7 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| 94.5% | (/.f64 x (+.f64 x (*.f64 y (exp.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64))))))))))) |
Compiled 66 to 56 computations (15.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 33 |
| 1 | 45 | 33 |
| 2 | 70 | 33 |
| 3 | 103 | 33 |
| 4 | 158 | 33 |
| 5 | 223 | 33 |
| 6 | 295 | 33 |
| 7 | 469 | 33 |
| 8 | 668 | 33 |
| 9 | 727 | 33 |
| 10 | 772 | 33 |
| 11 | 813 | 33 |
| 12 | 850 | 33 |
| 13 | 868 | 33 |
| 14 | 872 | 33 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (+.f64 x (*.f64 y (exp.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64))))))))))) |
| Outputs |
|---|
(/.f64 x (+.f64 x (*.f64 y (exp.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 #s(literal 5 binary64) #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 t #s(literal 3 binary64))))))))))) |
(/.f64 x (+.f64 (*.f64 (exp.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 a t)) z) t) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) t)) (+.f64 (/.f64 #s(literal 5 binary64) #s(literal 6 binary64)) a)) (-.f64 c b))) #s(literal 2 binary64))) y) x)) |
| 1× | fuel |
Compiled 33 to 28 computations (15.2% saved)
Compiled 376 to 242 computations (35.6% saved)
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