math.sqrt on complex, real part
Time bar (total: 1.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 62.5% | 62.4% | 37.5% | 0.1% | 0% | 0% | 0% | 5 |
| 62.5% | 62.4% | 37.5% | 0.1% | 0% | 0% | 0% | 6 |
| 68.8% | 68.7% | 31.2% | 0.1% | 0% | 0% | 0% | 7 |
| 68.8% | 68.7% | 31.2% | 0.1% | 0% | 0% | 0% | 8 |
| 71.9% | 71.8% | 28.1% | 0.1% | 0% | 0% | 0% | 9 |
| 71.9% | 71.8% | 28.1% | 0.1% | 0% | 0% | 0% | 10 |
| 73.4% | 73.4% | 26.5% | 0.1% | 0% | 0% | 0% | 11 |
| 73.4% | 73.4% | 26.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 17 to 11 computations (35.3% saved)
| 406.0ms | 6 210× | 0 | valid |
| 156.0ms | 771× | 2 | valid |
| 132.0ms | 463× | 3 | valid |
| 104.0ms | 812× | 1 | valid |
ival-hypot: 245.0ms (43% of total)ival-mult: 119.0ms (20.9% of total)ival-sqrt: 77.0ms (13.5% of total)adjust: 59.0ms (10.4% of total)ival-add: 58.0ms (10.2% of total)exact: 9.0ms (1.6% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 128 | 0 | - | 1 | (-4.117002634575749e-158 -8.091619625816582e-219) | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 27 | 0 | - | 2 | (-6.536505565710478e-242 -6.174240304487088e-283) | (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) |
| 22 | 1 | (-6.536505565710478e-242 -6.174240304487088e-283) | 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 | 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 | - | (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)) |
| 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 | 110 | 0 |
| ↳ | (+.f64 (*.f64 re re) (*.f64 im im)) | overflow | 110 | |
| ↳ | (*.f64 re re) | overflow | 58 | |
| ↳ | (*.f64 im im) | overflow | 69 | |
sqrt.f64 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) | uflow-rescue | 23 | 0 |
| ↳ | (+.f64 (*.f64 re re) (*.f64 im im)) | underflow | 17 | |
| ↳ | (*.f64 im im) | underflow | 60 | |
| ↳ | (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) | underflow | 6 | |
| ↳ | (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)) | underflow | 29 | |
| ↳ | (*.f64 re re) | underflow | 68 | |
| ↳ | (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re) | underflow | 29 | |
+.f64 | (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re) | cancellation | 23 | 0 |
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) | uflow-rescue | 17 | 0 |
| ↳ | (+.f64 (*.f64 re re) (*.f64 im im)) | underflow | 17 | |
| ↳ | (*.f64 re re) | underflow | 68 | |
| ↳ | (*.f64 im im) | underflow | 60 | |
sqrt.f64 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) | oflow-rescue | 2 | 0 |
| ↳ | (+.f64 (*.f64 re re) (*.f64 im im)) | overflow | 110 | |
| ↳ | (*.f64 im im) | overflow | 69 | |
| ↳ | (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)) | overflow | 2 | |
| ↳ | (*.f64 re re) | overflow | 58 | |
| ↳ | (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 149 | 0 |
| - | 0 | 107 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 149 | 0 | 0 |
| - | 0 | 0 | 107 |
| number | freq |
|---|---|
| 0 | 107 |
| 1 | 123 |
| 2 | 26 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 40.0ms | 408× | 0 | valid |
| 11.0ms | 40× | 2 | valid |
| 9.0ms | 24× | 3 | valid |
| 7.0ms | 40× | 1 | valid |
Compiled 169 to 40 computations (76.3% saved)
ival-mult: 17.0ms (36.3% of total)ival-hypot: 13.0ms (27.8% of total)ival-add: 6.0ms (12.8% of total)adjust: 5.0ms (10.7% of total)ival-sqrt: 4.0ms (8.5% of total)exact: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 92 |
| 1 | 117 | 92 |
| 2 | 257 | 90 |
| 3 | 448 | 90 |
| 4 | 935 | 90 |
| 5 | 3057 | 90 |
| 6 | 6611 | 90 |
| 1× | node limit |
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