math.sqrt on complex, imaginary part, im greater than 0 branch
Time bar (total: 1.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 0 |
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 1 |
| 50% | 25% | 25% | 50% | 0% | 0% | 0% | 2 |
| 50% | 25% | 25% | 50% | 0% | 0% | 0% | 3 |
| 62.5% | 31.2% | 18.7% | 50% | 0% | 0% | 0% | 4 |
| 62.5% | 31.2% | 18.7% | 50% | 0% | 0% | 0% | 5 |
| 68.8% | 34.3% | 15.6% | 50% | 0% | 0% | 0% | 6 |
| 68.8% | 34.3% | 15.6% | 50% | 0% | 0% | 0% | 7 |
| 71.9% | 35.9% | 14% | 50% | 0% | 0% | 0% | 8 |
| 71.9% | 35.9% | 14% | 50% | 0% | 0% | 0% | 9 |
| 73.4% | 36.7% | 13.3% | 50% | 0% | 0% | 0% | 10 |
| 73.4% | 36.7% | 13.3% | 50% | 0% | 0% | 0% | 11 |
| 74.2% | 37.1% | 12.9% | 50% | 0% | 0% | 0% | 12 |
Compiled 19 to 12 computations (36.8% saved)
| 411.0ms | 6 298× | 0 | valid |
| 167.0ms | 797× | 2 | valid |
| 148.0ms | 432× | 3 | valid |
| 100.0ms | 729× | 1 | valid |
ival-hypot: 264.0ms (43.2% of total)ival-mult: 128.0ms (20.9% of total)ival-sqrt: 87.0ms (14.2% of total)ival-sub: 63.0ms (10.3% of total)adjust: 57.0ms (9.3% of total)exact: 9.0ms (1.5% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 130 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 37 | 0 | - | 2 | (2.7352127120225813e-198 5.298770393362087e-260) | (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) |
| 19 | 0 | - | 0 | - | (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))) |
| 0 | 1 | (2.90445328924939e-21 8.522792369298711e-173) | 0 | - | (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)) |
| 0 | 0 | - | 0 | - | (*.f64 re re) |
| 0 | 0 | - | 0 | - | im |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 re re) (*.f64 im im)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | re |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 im im) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) | oflow-rescue | 114 | 0 |
| ↳ | (+.f64 (*.f64 re re) (*.f64 im im)) | overflow | 114 | |
| ↳ | (*.f64 re re) | overflow | 61 | |
| ↳ | (*.f64 im im) | overflow | 67 | |
sqrt.f64 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) | uflow-rescue | 32 | 0 |
| ↳ | (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)) | underflow | 43 | |
| ↳ | (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) | underflow | 11 | |
| ↳ | (*.f64 re re) | underflow | 57 | |
| ↳ | (*.f64 im im) | underflow | 68 | |
| ↳ | (+.f64 (*.f64 re re) (*.f64 im im)) | underflow | 16 | |
| ↳ | (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re) | underflow | 44 | |
-.f64 | (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re) | cancellation | 19 | 0 |
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) | uflow-rescue | 16 | 0 |
| ↳ | (+.f64 (*.f64 re re) (*.f64 im im)) | underflow | 16 | |
| ↳ | (*.f64 re re) | underflow | 57 | |
| ↳ | (*.f64 im im) | underflow | 68 | |
sqrt.f64 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) | oflow-rescue | 3 | 0 |
| ↳ | (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)) | overflow | 3 | |
| ↳ | (+.f64 (*.f64 re re) (*.f64 im im)) | overflow | 114 | |
| ↳ | (*.f64 re re) | overflow | 61 | |
| ↳ | (*.f64 im im) | overflow | 67 | |
*.f64 | (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)) | n*u | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 160 | 0 |
| - | 0 | 96 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 160 | 0 | 0 |
| - | 0 | 0 | 96 |
| number | freq |
|---|---|
| 0 | 96 |
| 1 | 135 |
| 2 | 25 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 37.0ms | 386× | 0 | valid |
| 19.0ms | 50× | 3 | valid |
| 13.0ms | 46× | 2 | valid |
| 6.0ms | 30× | 1 | valid |
Compiled 169 to 40 computations (76.3% saved)
ival-hypot: 18.0ms (33.8% of total)ival-mult: 16.0ms (30% of total)adjust: 7.0ms (13.1% of total)ival-sqrt: 5.0ms (9.4% of total)ival-sub: 4.0ms (7.5% of total)ival-add: 3.0ms (5.6% of total)exact: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 92 |
| 1 | 90 | 92 |
| 2 | 173 | 92 |
| 3 | 250 | 92 |
| 4 | 397 | 92 |
| 5 | 996 | 92 |
| 6 | 6534 | 92 |
| 0 | 17 | 19 |
| 0 | 23 | 19 |
| 1 | 25 | 19 |
| 2 | 28 | 19 |
| 3 | 33 | 19 |
| 4 | 53 | 19 |
| 5 | 129 | 19 |
| 6 | 582 | 19 |
| 7 | 4696 | 19 |
| 0 | 8428 | 19 |
| 1× | saturated |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
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