Numeric.SpecFunctions:incompleteBetaApprox from math-functions-0.1.5.2, B
Time bar (total: 2.7s)
| 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% | 49.9% | 0.3% | 0% | 49.9% | 0% | 4 |
| 0% | 0% | 49.9% | 0.3% | 0% | 49.9% | 0% | 5 |
| 0% | 0% | 49.9% | 0.3% | 0% | 49.9% | 0% | 6 |
| 0% | 0% | 49.9% | 0.3% | 0% | 49.9% | 0% | 7 |
| 0% | 0% | 49.9% | 0.3% | 0% | 49.9% | 0% | 8 |
| 0% | 0% | 49.9% | 0.3% | 0% | 49.9% | 0% | 9 |
| 0% | 0% | 24.9% | 0.3% | 0% | 74.8% | 0% | 10 |
| 0% | 0% | 24.9% | 0.3% | 0% | 74.8% | 0% | 11 |
| 0% | 0% | 24.9% | 0.3% | 0% | 74.8% | 0% | 12 |
Compiled 20 to 19 computations (5% saved)
| 23.0ms | 243× | 0 | valid |
| 6.0ms | 17× | 1 | valid |
ival-log: 10.0ms (45.2% of total)ival-sub: 4.0ms (18.1% of total)ival-mult: 4.0ms (18.1% of total)ival-exp: 2.0ms (9% of total)adjust: 1.0ms (4.5% of total)ival-add: 1.0ms (4.5% 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 |
|---|---|---|---|---|---|
| 255 | 0 | - | 0 | - | (log.f64 (-.f64 #s(literal 1 binary64) z)) |
| 3 | 0 | - | 0 | - | (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b))) |
| 1 | 0 | - | 0 | - | (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b)))) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (log.f64 z) |
| 0 | 0 | - | 0 | - | (*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b))))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b)) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) z) |
| 0 | 0 | - | 0 | - | (*.f64 y (-.f64 (log.f64 z) t)) |
| 0 | 0 | - | 0 | - | (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (-.f64 (log.f64 z) t) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (-.f64 #s(literal 1 binary64) z)) | sensitivity | 255 | 0 |
+.f64 | (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b))) | nan-rescue | 3 | 0 |
| ↳ | (*.f64 y (-.f64 (log.f64 z) t)) | overflow | 32 | |
| ↳ | (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b)) | overflow | 35 | |
exp.f64 | (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b)))) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 12 | 0 |
| - | 243 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 12 | 0 | 0 |
| - | 243 | 0 | 1 |
| number | freq |
|---|---|
| 0 | 1 |
| 1 | 251 |
| 2 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 814.0ms | 2 568× | 1 | valid |
| 156.0ms | 300× | 2 | valid |
| 25.0ms | 204× | 0 | valid |
Compiled 3 444 to 840 computations (75.6% saved)
ival-log: 431.0ms (55.9% of total)adjust: 96.0ms (12.5% of total)ival-mult: 96.0ms (12.5% of total)ival-sub: 85.0ms (11% of total)ival-exp: 32.0ms (4.2% of total)ival-add: 25.0ms (3.2% of total)ival-true: 2.0ms (0.3% of total)exact: 2.0ms (0.3% of total)ival-assert: 1.0ms (0.1% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 159 | 506 |
| 1 | 370 | 494 |
| 2 | 924 | 494 |
| 3 | 3269 | 467 |
| 4 | 7761 | 467 |
| 0 | 17 | 18 |
| 0 | 27 | 18 |
| 1 | 42 | 18 |
| 2 | 77 | 18 |
| 3 | 165 | 17 |
| 4 | 332 | 17 |
| 5 | 681 | 17 |
| 6 | 1476 | 17 |
| 7 | 2408 | 17 |
| 8 | 3639 | 17 |
| 9 | 4218 | 17 |
| 10 | 4461 | 17 |
| 11 | 4688 | 17 |
| 12 | 4735 | 17 |
| 13 | 4844 | 17 |
| 14 | 4935 | 17 |
| 15 | 4983 | 17 |
| 16 | 4987 | 17 |
| 17 | 4993 | 17 |
| 18 | 4995 | 17 |
| 19 | 4995 | 17 |
| 20 | 4995 | 17 |
| 0 | 4995 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b))))) |
| Outputs |
|---|
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b))))) |
(*.f64 (exp.f64 (fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))) x) |
(negabs x)
Compiled 18 to 17 computations (5.6% saved)
Compiled 0 to 6 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| 95.7% | (*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b))))) |
Compiled 36 to 34 computations (5.6% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 18 |
| 1 | 30 | 18 |
| 2 | 40 | 18 |
| 3 | 46 | 18 |
| 4 | 49 | 18 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b))))) |
| Outputs |
|---|
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b))))) |
(*.f64 (exp.f64 (+.f64 (*.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))) x) |
| 1× | fuel |
Compiled 18 to 17 computations (5.6% saved)
(negabs x)
Compiled 144 to 136 computations (5.6% saved)
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