math.log/1 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 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 18.8% | 18.7% | 81.2% | 0.1% | 0% | 0% | 0% | 5 |
| 34.4% | 34.3% | 65.6% | 0.1% | 0% | 0% | 0% | 6 |
| 54.7% | 54.6% | 45.3% | 0.1% | 0% | 0% | 0% | 7 |
| 64.8% | 64.8% | 35.1% | 0.1% | 0% | 0% | 0% | 8 |
| 76.2% | 76.1% | 23.8% | 0.1% | 0% | 0% | 0% | 9 |
| 81.8% | 81.8% | 18.1% | 0.1% | 0% | 0% | 0% | 10 |
| 87.8% | 87.7% | 12.2% | 0.1% | 0% | 0% | 0% | 11 |
| 90.8% | 90.7% | 9.2% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 12 to 8 computations (33.3% saved)
| 1.2s | 8256× | body | 256 | valid |
| 1× | egg-herbie |
| 186× | fma-def |
| 30× | neg-sub0 |
| 28× | distribute-lft-neg-in |
| 28× | unsub-neg |
| 24× | sub-neg |
| 133× | No Errors |
| 123× | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 127 |
| 1 | 55 | 127 |
| 2 | 102 | 127 |
| 3 | 184 | 127 |
| 4 | 281 | 127 |
| 5 | 320 | 127 |
| 6 | 330 | 127 |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
(log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))) |
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))) |
(neg.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))))) |
(neg.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))))) |
(log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) |
| Outputs |
|---|
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
(log.f64 (hypot.f64 re im)) |
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
(log.f64 (hypot.f64 re im)) |
(log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))) |
(log.f64 (hypot.f64 re im)) |
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))) |
(log.f64 (hypot.f64 re im)) |
(neg.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))))) |
(neg.f64 (log.f64 (hypot.f64 re im))) |
(neg.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))))) |
(neg.f64 (log.f64 (hypot.f64 re im))) |
(log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) |
(log.f64 (hypot.f64 re im)) |
(abs re)
(abs im)
(sort re im)
Compiled 46 to 15 computations (67.4% saved)
Compiled 6 to 4 computations (33.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (log.f64 (hypot.f64 re im)) |
| ▶ | 100.0% | (log.f64 (hypot.f64 re im)) |
Compiled 12 to 8 computations (33.3% saved)
Compiled 12 to 5 computations (58.3% saved)
Compiled 2 to 2 computations (0% saved)
1 alts after pruning (0 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 0 | 1 | 1 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (log.f64 (hypot.f64 re im)) |
Compiled 21 to 13 computations (38.1% saved)
Total -29.7b remaining (-∞%)
Threshold costs -29.7b (-∞%)
| Inputs |
|---|
(log.f64 (hypot.f64 re im)) |
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| Outputs |
|---|
(log.f64 (hypot.f64 re im)) |
7 calls:
| 60.0ms | im |
| 3.0ms | (*.f64 re re) |
| 3.0ms | re |
| 3.0ms | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| 3.0ms | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | re |
| 100.0% | 1 | im |
| 100.0% | 1 | (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) |
| 100.0% | 1 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 100.0% | 1 | (+.f64 (*.f64 re re) (*.f64 im im)) |
| 100.0% | 1 | (*.f64 re re) |
| 100.0% | 1 | (*.f64 im im) |
Compiled 61 to 37 computations (39.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 17 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (hypot.f64 re im)) |
| Outputs |
|---|
(log.f64 (hypot.f64 re im)) |
Compiled 6 to 4 computations (33.3% saved)
| 186× | fma-def |
| 30× | neg-sub0 |
| 28× | distribute-lft-neg-in |
| 28× | unsub-neg |
| 24× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 127 |
| 1 | 55 | 127 |
| 2 | 102 | 127 |
| 3 | 184 | 127 |
| 4 | 281 | 127 |
| 5 | 320 | 127 |
| 6 | 330 | 127 |
| 1× | saturated |
Compiled 15 to 9 computations (40% saved)
(sort re im)
(abs im)
(abs re)
Compiled 70 to 46 computations (34.3% saved)
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