Numeric.AD.Rank1.Halley:findZero from ad-4.2.4
Time bar (total: 1.5s)
| 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 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 5 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 6 |
| 31.3% | 31.2% | 68.6% | 0.2% | 0% | 0% | 0% | 7 |
| 40.6% | 40.5% | 59.3% | 0.2% | 0% | 0% | 0% | 8 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 9 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 10 |
| 54.7% | 54.6% | 45.2% | 0.2% | 0% | 0% | 0% | 11 |
| 62.5% | 62.4% | 37.4% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 19 to 15 computations (21.1% saved)
| 17.0ms | 260× | 0 | valid |
ival-mult: 7.0ms (66.2% of total)ival-sub: 2.0ms (18.9% of total)ival-div: 1.0ms (9.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 86 | 2 | (2.0946147719119082e-154 -3.512711857086974e-131 -1.358512863510227e+192 1.0218440033965616e-85) | 0 | - | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
| 5 | 0 | - | 0 | - | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) |
| 0 | 0 | - | 0 | - | (*.f64 y t) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 y #s(literal 2 binary64)) z) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 z #s(literal 2 binary64)) z) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 z #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | o/o | 12 | 0 |
| ↳ | (*.f64 (*.f64 y #s(literal 2 binary64)) z) | overflow | 42 | |
| ↳ | (*.f64 y t) | overflow | 35 | |
| ↳ | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | overflow | 91 | |
| ↳ | (*.f64 (*.f64 z #s(literal 2 binary64)) z) | overflow | 63 | |
/.f64 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | o/n | 8 | 0 |
| ↳ | (*.f64 (*.f64 y #s(literal 2 binary64)) z) | overflow | 42 | |
/.f64 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | n/o | 6 | 0 |
| ↳ | (*.f64 y t) | overflow | 35 | |
| ↳ | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | overflow | 91 | |
| ↳ | (*.f64 (*.f64 z #s(literal 2 binary64)) z) | overflow | 63 | |
-.f64 | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | nan-rescue | 5 | 0 |
| ↳ | (*.f64 (*.f64 z #s(literal 2 binary64)) z) | overflow | 63 | |
| ↳ | (*.f64 y t) | overflow | 35 | |
/.f64 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | u/u | 5 | 0 |
| ↳ | (*.f64 (*.f64 y #s(literal 2 binary64)) z) | underflow | 29 | |
| ↳ | (*.f64 y t) | underflow | 26 | |
| ↳ | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | underflow | 8 | |
| ↳ | (*.f64 (*.f64 z #s(literal 2 binary64)) z) | underflow | 55 | |
/.f64 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | u/n | 3 | 0 |
| ↳ | (*.f64 (*.f64 y #s(literal 2 binary64)) z) | underflow | 29 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 35 | 24 |
| - | 0 | 197 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 35 | 0 | 24 |
| - | 0 | 0 | 197 |
| number | freq |
|---|---|
| 0 | 221 |
| 1 | 31 |
| 2 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 225.0ms | 3 072× | 0 | valid |
Compiled 2 568 to 648 computations (74.8% saved)
ival-mult: 82.0ms (65.1% of total)ival-sub: 23.0ms (18.3% of total)ival-div: 16.0ms (12.7% of total)ival-true: 2.0ms (1.6% of total)exact: 2.0ms (1.6% 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 | 70 | 250 |
| 1 | 218 | 244 |
| 2 | 601 | 238 |
| 3 | 1943 | 238 |
| 4 | 4398 | 238 |
| 5 | 6221 | 238 |
| 6 | 7521 | 238 |
| 7 | 7782 | 238 |
| 8 | 7835 | 238 |
| 9 | 7870 | 238 |
| 0 | 13 | 17 |
| 0 | 21 | 17 |
| 1 | 38 | 17 |
| 2 | 80 | 17 |
| 3 | 195 | 17 |
| 4 | 391 | 17 |
| 5 | 687 | 17 |
| 6 | 1540 | 17 |
| 7 | 2286 | 17 |
| 8 | 2461 | 17 |
| 9 | 2515 | 17 |
| 10 | 2538 | 17 |
| 11 | 2540 | 17 |
| 12 | 2549 | 17 |
| 13 | 2561 | 17 |
| 14 | 2580 | 17 |
| 15 | 2580 | 17 |
| 0 | 2580 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| Outputs |
|---|
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
(fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) #s(literal 2 binary64) x) |
Compiled 17 to 13 computations (23.5% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| 77.2% | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
Compiled 34 to 26 computations (23.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 17 |
| 1 | 25 | 17 |
| 2 | 44 | 17 |
| 3 | 66 | 17 |
| 4 | 112 | 17 |
| 5 | 162 | 17 |
| 6 | 204 | 17 |
| 7 | 294 | 17 |
| 8 | 461 | 17 |
| 9 | 546 | 17 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| Outputs |
|---|
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
(-.f64 x (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (-.f64 (*.f64 z (*.f64 z #s(literal 2 binary64))) (*.f64 t y)))) |
| 1× | fuel |
Compiled 17 to 13 computations (23.5% saved)
Compiled 94 to 76 computations (19.1% saved)
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