Hyperbolic arc-(co)secant
Time bar (total: 1.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 50% | 0% | 0% | 50% | 0% | 3 |
| 33.3% | 12.5% | 25% | 0% | 0% | 62.5% | 0% | 4 |
| 60% | 18.7% | 12.5% | 0% | 0% | 68.7% | 0% | 5 |
| 77.8% | 21.9% | 6.2% | 0% | 0% | 71.8% | 0% | 6 |
| 88.2% | 23.4% | 3.1% | 0% | 0% | 73.4% | 0% | 7 |
| 93.9% | 24.2% | 1.6% | 0% | 0% | 74.2% | 0% | 8 |
| 96.9% | 24.6% | 0.8% | 0% | 0% | 74.6% | 0% | 9 |
| 98.4% | 24.8% | 0.4% | 0% | 0% | 74.8% | 0% | 10 |
| 99.2% | 24.9% | 0.2% | 0% | 0% | 74.9% | 0% | 11 |
| 99.6% | 24.9% | 0.1% | 0% | 0% | 74.9% | 0% | 12 |
Compiled 15 to 11 computations (26.7% saved)
| 15.0ms | 260× | 0 | valid |
ival-div: 3.0ms (26.6% of total)ival-log: 2.0ms (17.7% of total)ival-sqrt: 2.0ms (17.7% of total)ival-add: 1.0ms (8.9% of total)ival-mult: 1.0ms (8.9% of total)ival-sub: 1.0ms (8.9% of total)adjust: 0.0ms (0% 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 |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 0 | 0 | - | 0 | - | (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) | oflow-rescue | 1 | 0 |
| ↳ | (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) | overflow | 1 | |
| ↳ | (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) | overflow | 1 | |
| ↳ | (/.f64 #s(literal 1 binary64) x) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 0 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 208.0ms | 3 072× | 0 | valid |
Compiled 2 052 to 456 computations (77.8% saved)
ival-div: 41.0ms (30.1% of total)ival-log: 29.0ms (21.3% of total)ival-sqrt: 19.0ms (14% of total)ival-mult: 18.0ms (13.2% of total)ival-sub: 13.0ms (9.6% of total)ival-add: 11.0ms (8.1% of total)ival-true: 2.0ms (1.5% of total)exact: 2.0ms (1.5% of total)adjust: 1.0ms (0.7% of total)ival-assert: 1.0ms (0.7% of total)| 1× | egg-herbie |
Useful iterations: 14 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 31 |
| 1 | 34 | 27 |
| 2 | 71 | 27 |
| 3 | 153 | 27 |
| 4 | 261 | 27 |
| 5 | 409 | 27 |
| 6 | 633 | 23 |
| 7 | 1008 | 23 |
| 8 | 1424 | 23 |
| 9 | 1995 | 23 |
| 10 | 4391 | 23 |
| 11 | 5872 | 23 |
| 12 | 6901 | 23 |
| 13 | 7311 | 23 |
| 14 | 7679 | 23 |
| 15 | 7835 | 23 |
| 0 | 9 | 13 |
| 0 | 16 | 13 |
| 1 | 24 | 13 |
| 2 | 31 | 13 |
| 3 | 39 | 13 |
| 4 | 54 | 13 |
| 5 | 74 | 13 |
| 6 | 117 | 13 |
| 7 | 315 | 13 |
| 8 | 597 | 13 |
| 9 | 1167 | 13 |
| 10 | 2099 | 13 |
| 11 | 3834 | 13 |
| 12 | 4826 | 13 |
| 13 | 5183 | 13 |
| 14 | 5518 | 11 |
| 15 | 5777 | 11 |
| 16 | 5858 | 11 |
| 17 | 6069 | 11 |
| 18 | 6989 | 11 |
| 0 | 8045 | 11 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| Outputs |
|---|
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) x)) |
Compiled 13 to 9 computations (30.8% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| 99.6% | (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
Compiled 26 to 18 computations (30.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 13 |
| 1 | 18 | 13 |
| 2 | 25 | 13 |
| 3 | 29 | 13 |
| 4 | 31 | 13 |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
| Outputs |
|---|
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))) |
(log.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x))) |
| 1× | fuel |
Compiled 13 to 9 computations (30.8% saved)
Compiled 52 to 36 computations (30.8% saved)
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