math.sqrt on complex, imaginary part, im greater than 0 branch
Time bar (total: 1.8s)
| 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)
| 417.0ms | 6 167× | 0 | valid |
| 176.0ms | 820× | 2 | valid |
| 137.0ms | 475× | 3 | valid |
| 105.0ms | 794× | 1 | valid |
ival-hypot: 259.0ms (42.1% of total)ival-mult: 138.0ms (22.5% of total)ival-sqrt: 83.0ms (13.5% of total)ival-sub: 62.0ms (10.1% of total)adjust: 61.0ms (9.9% of total)exact: 10.0ms (1.6% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 139 | 0 | - | 5 | (-1.6887300912941297e-177 8.433740516375224e-157) | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 35 | 0 | - | 0 | - | (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re) |
| 26 | 0 | - | 1 | (9.701488981209775e+174 1.0193550613841342e-69) | (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.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 #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 | 119 | 0 |
| ↳ | (+.f64 (*.f64 re re) (*.f64 im im)) | overflow | 119 | |
| ↳ | (*.f64 re re) | overflow | 69 | |
| ↳ | (*.f64 im im) | overflow | 71 | |
-.f64 | (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re) | cancellation | 35 | 1 |
sqrt.f64 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) | uflow-rescue | 25 | 0 |
| ↳ | (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)) | underflow | 30 | |
| ↳ | (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) | underflow | 5 | |
| ↳ | (*.f64 re re) | underflow | 68 | |
| ↳ | (*.f64 im im) | underflow | 58 | |
| ↳ | (+.f64 (*.f64 re re) (*.f64 im im)) | underflow | 15 | |
| ↳ | (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re) | underflow | 30 | |
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) | uflow-rescue | 15 | 0 |
| ↳ | (+.f64 (*.f64 re re) (*.f64 im im)) | underflow | 15 | |
| ↳ | (*.f64 re re) | underflow | 68 | |
| ↳ | (*.f64 im im) | underflow | 58 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 164 | 3 |
| - | 0 | 89 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 164 | 0 | 3 |
| - | 0 | 1 | 88 |
| number | freq |
|---|---|
| 0 | 92 |
| 1 | 134 |
| 2 | 30 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 36.0ms | 384× | 0 | valid |
| 13.0ms | 48× | 2 | valid |
| 13.0ms | 24× | 3 | valid |
| 11.0ms | 56× | 1 | valid |
Compiled 169 to 40 computations (76.3% saved)
ival-mult: 16.0ms (32.9% of total)ival-hypot: 15.0ms (30.8% of total)adjust: 6.0ms (12.3% of total)ival-sqrt: 5.0ms (10.3% of total)ival-sub: 4.0ms (8.2% of total)ival-add: 3.0ms (6.2% 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: 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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