Statistics.Math.RootFinding:ridders from math-functions-0.1.5.2
Time bar (total: 1.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 5 |
| 25% | 24.9% | 74.8% | 0.2% | 0% | 0% | 0% | 6 |
| 25% | 24.9% | 74.8% | 0.2% | 0% | 0% | 0% | 7 |
| 25% | 24.9% | 74.8% | 0.2% | 0% | 0% | 0% | 8 |
| 37.5% | 37.4% | 62.3% | 0.2% | 0% | 0% | 0% | 9 |
| 40.6% | 40.5% | 59.2% | 0.2% | 0% | 0% | 0% | 10 |
| 51.7% | 48.3% | 45.2% | 0.2% | 0% | 6.2% | 0% | 11 |
| 51.7% | 48.3% | 45.2% | 0.2% | 0% | 6.2% | 0% | 12 |
Compiled 16 to 14 computations (12.5% saved)
| 16.0ms | 260× | 0 | valid |
| 3.0ms | 56× | 0 | invalid |
ival-mult: 7.0ms (60.4% of total)ival-sqrt: 2.0ms (17.3% of total)ival-sub: 1.0ms (8.6% of total)ival-div: 1.0ms (8.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 107 | 0 | - | 2 | (2.1131111125478727e+79 1.334257692303328e-127 -8.334933753739463e-158 -6.31808860823985e-167 2.0395009696194984e-171) | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
| 36 | 0 | - | 0 | - | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 27 | 0 | - | 1 | (-9.394879031461715e-137 5.570945325323993e-187 1.3708735159948747e+107 -1.2543458897402317e-213 1.1734772568933354e+80) | (*.f64 (*.f64 x y) z) |
| 3 | 3 | (-1.9867243642453033e-82 1.2502256077145175e-163 -1.7189545820082995e-130 1.1833077562892517e-157 5.611443413852912e-123) | 0 | - | (-.f64 (*.f64 z z) (*.f64 t a)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | (*.f64 z z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 t a) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) | oflow-rescue | 96 | 0 |
| ↳ | (-.f64 (*.f64 z z) (*.f64 t a)) | overflow | 96 | |
| ↳ | (*.f64 t a) | overflow | 24 | |
| ↳ | (*.f64 z z) | overflow | 81 | |
/.f64 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | o/n | 27 | 0 |
| ↳ | (*.f64 x y) | overflow | 43 | |
| ↳ | (*.f64 (*.f64 x y) z) | overflow | 57 | |
*.f64 | (*.f64 (*.f64 x y) z) | n*u | 15 | 0 |
*.f64 | (*.f64 (*.f64 x y) z) | n*o | 11 | 0 |
/.f64 | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) | u/n | 9 | 0 |
| ↳ | (*.f64 x y) | underflow | 29 | |
| ↳ | (*.f64 (*.f64 x y) z) | underflow | 28 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) | uflow-rescue | 9 | 0 |
| ↳ | (-.f64 (*.f64 z z) (*.f64 t a)) | underflow | 9 | |
| ↳ | (*.f64 t a) | underflow | 39 | |
| ↳ | (*.f64 z z) | underflow | 48 | |
-.f64 | (-.f64 (*.f64 z z) (*.f64 t a)) | cancellation | 3 | 0 |
-.f64 | (-.f64 (*.f64 z z) (*.f64 t a)) | nan-rescue | 3 | 0 |
| ↳ | (*.f64 z z) | overflow | 81 | |
| ↳ | (*.f64 t a) | overflow | 24 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 101 | 1 |
| - | 30 | 124 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 101 | 0 | 1 |
| - | 30 | 0 | 124 |
| number | freq |
|---|---|
| 0 | 125 |
| 1 | 90 |
| 2 | 40 |
| 3 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 224.0ms | 3 072× | 0 | valid |
Compiled 1 920 to 600 computations (68.8% saved)
ival-mult: 70.0ms (58.4% of total)ival-sqrt: 18.0ms (15% of total)ival-div: 16.0ms (13.3% of total)ival-sub: 12.0ms (10% of total)ival-true: 2.0ms (1.7% of total)adjust: 1.0ms (0.8% of total)ival-assert: 1.0ms (0.8% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 295 |
| 1 | 260 | 285 |
| 2 | 625 | 285 |
| 3 | 1662 | 285 |
| 4 | 4345 | 285 |
| 5 | 6481 | 285 |
| 0 | 12 | 14 |
| 0 | 19 | 14 |
| 1 | 31 | 14 |
| 2 | 59 | 14 |
| 3 | 89 | 14 |
| 4 | 119 | 14 |
| 5 | 147 | 14 |
| 6 | 196 | 14 |
| 7 | 249 | 14 |
| 8 | 429 | 14 |
| 9 | 958 | 14 |
| 10 | 1287 | 14 |
| 11 | 2165 | 14 |
| 12 | 3188 | 14 |
| 13 | 3378 | 14 |
| 14 | 3400 | 14 |
| 15 | 3400 | 14 |
| 0 | 3400 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
(/.f64 (*.f64 z (*.f64 y x)) (sqrt.f64 (fma.f64 (neg.f64 a) t (*.f64 z z)))) |
(negabs z)
(negabs y)
(negabs x)
(sort x y)
(sort t a)
Compiled 14 to 12 computations (14.3% saved)
Compiled 0 to 5 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| 61.7% | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
Compiled 28 to 24 computations (14.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 14 |
| 1 | 20 | 14 |
| 2 | 32 | 14 |
| 3 | 38 | 14 |
| 4 | 42 | 14 |
| 5 | 43 | 14 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
(/.f64 (*.f64 z (*.f64 y x)) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 a t)))) |
| 1× | fuel |
Compiled 14 to 12 computations (14.3% saved)
(sort t a)
(sort x y)
(negabs x)
(negabs y)
(negabs z)
Compiled 394 to 328 computations (16.8% saved)
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