Time bar (total: 3.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 74.9% | 25.1% | 0 |
| 0% | 74.9% | 25.1% | 1 |
| 37.5% | 37.5% | 25.1% | 2 |
| 37.5% | 18.7% | 43.8% | 3 |
| 46.8% | 9.4% | 43.8% | 4 |
| 51.5% | 4.7% | 43.8% | 5 |
| 51.5% | 2.3% | 46.1% | 6 |
| 52.7% | 1.2% | 46.1% | 7 |
| 53.3% | 0.6% | 46.1% | 8 |
| 53.3% | 0.3% | 46.4% | 9 |
| 53.4% | 0.1% | 46.4% | 10 |
| 53.5% | 0.1% | 46.4% | 11 |
| 53.5% | 0% | 46.5% | 12 |
| 53.5% | 0% | 46.5% | 13 |
| 53.5% | 0% | 46.5% | 14 |
Compiled 71 to 33 computations (53.5% saved)
| 1.5s | 8256× | body | 128 | valid |
| 0.0ms | 2× | body | 128 | invalid |
Compiled 210 to 97 computations (53.8% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
| ▶ | 0.1b | (fabs.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))) |
Compiled 204 to 93 computations (54.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))) |
| ✓ | 0.1b | (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))) |
| ✓ | 0.1b | (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))) |
| ✓ | 1.0b | (sqrt.f64 (PI.f64)) |
4 calls:
| 58.0ms | (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))) |
| 15.0ms | (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))) |
| 8.0ms | (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))) |
| 0.0ms | (sqrt.f64 (PI.f64)) |
| 1× | batch-egg-rewrite |
| 274× | log1p-expm1-u_binary64 |
| 274× | expm1-log1p-u_binary64 |
| 268× | add-cbrt-cube_binary64 |
| 267× | add-log-exp_binary64 |
| 266× | add-exp-log_binary64 |
4 calls:
| 39.0ms | (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))) |
| 39.0ms | (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))) |
| 39.0ms | (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))) |
| 39.0ms | (sqrt.f64 (PI.f64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 89 |
| 1 | 612 | 66 |
| 2 | 4919 | 66 |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 93 | 3 | 96 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 93 | 4 | 97 |
| Status | Error | Program |
| ▶ | 0.1b | (fabs.f64 (fma.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 2 (fabs.f64 x) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3)))) (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 1/21 (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 6)))))) |
| 1.1b | (fabs.f64 (*.f64 (/.f64 1 (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))) | |
| 0.5b | (fabs.f64 (/.f64 (fma.f64 1/21 (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 6)) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 2 (fabs.f64 x) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (PI.f64)))) | |
| ✓ | 0.1b | (fabs.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))) |
Compiled 5452 to 2342 computations (57% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 1/21 (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 6)))) |
| ✓ | 0.1b | (*.f64 1/21 (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 6))) |
| ✓ | 0.1b | (fma.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 2 (fabs.f64 x) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3)))) (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 1/21 (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 6))))) |
| ✓ | 0.1b | (*.f64 2/3 (pow.f64 (fabs.f64 x) 3)) |
4 calls:
| 234.0ms | (fma.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 2 (fabs.f64 x) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3)))) (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 1/21 (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 6))))) |
| 27.0ms | (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 1/21 (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 6)))) |
| 16.0ms | (*.f64 1/21 (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 6))) |
| 9.0ms | (*.f64 2/3 (pow.f64 (fabs.f64 x) 3)) |
| 1× | batch-egg-rewrite |
| 227× | add-sqr-sqrt_binary64 |
| 220× | log1p-expm1-u_binary64 |
| 220× | expm1-log1p-u_binary64 |
| 216× | add-log-exp_binary64 |
| 215× | add-exp-log_binary64 |
4 calls:
| 68.0ms | (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 1/21 (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 6)))) |
| 68.0ms | (*.f64 1/21 (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 6))) |
| 68.0ms | (fma.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 2 (fabs.f64 x) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3)))) (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 1/21 (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 6))))) |
| 68.0ms | (*.f64 2/3 (pow.f64 (fabs.f64 x) 3)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 96 |
| 1 | 489 | 62 |
| 2 | 4585 | 62 |
| 3 | 4717 | 62 |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 98 | 1 | 99 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 100 | 3 | 103 |
| Status | Error | Program |
| ✓ | 0.1b | (fabs.f64 (fma.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 2 (fabs.f64 x) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3)))) (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 1/21 (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 6)))))) |
| ▶ | 0.1b | (fabs.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (+.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))) (*.f64 1/21 (pow.f64 x 7))))) |
| 0.5b | (fabs.f64 (/.f64 (fma.f64 1/21 (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 6)) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 2 (fabs.f64 x) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (PI.f64)))) |
Compiled 3641 to 2673 computations (26.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))) |
| ✓ | 0.1b | (*.f64 1/21 (pow.f64 x 7)) |
| ✓ | 0.1b | (*.f64 (pow.f64 (PI.f64) -1/2) (+.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))) (*.f64 1/21 (pow.f64 x 7)))) |
| ✓ | 0.1b | (*.f64 2/3 (pow.f64 x 3)) |
4 calls:
| 7.0ms | (*.f64 (pow.f64 (PI.f64) -1/2) (+.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))) (*.f64 1/21 (pow.f64 x 7)))) |
| 6.0ms | (*.f64 1/21 (pow.f64 x 7)) |
| 3.0ms | (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))) |
| 3.0ms | (*.f64 2/3 (pow.f64 x 3)) |
| 1× | batch-egg-rewrite |
| 546× | prod-diff_binary64 |
| 218× | add-sqr-sqrt_binary64 |
| 213× | log1p-expm1-u_binary64 |
| 213× | expm1-log1p-u_binary64 |
| 207× | add-log-exp_binary64 |
4 calls:
| 73.0ms | (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))) |
| 73.0ms | (*.f64 1/21 (pow.f64 x 7)) |
| 73.0ms | (*.f64 (pow.f64 (PI.f64) -1/2) (+.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))) (*.f64 1/21 (pow.f64 x 7)))) |
| 73.0ms | (*.f64 2/3 (pow.f64 x 3)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 66 |
| 1 | 462 | 64 |
| 2 | 4811 | 64 |
| 3 | 5627 | 64 |
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 102 | 0 | 102 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 102 | 3 | 105 |
| Status | Error | Program |
| ✓ | 0.1b | (fabs.f64 (fma.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 2 (fabs.f64 x) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3)))) (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 1/21 (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 6)))))) |
| ✓ | 0.1b | (fabs.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (+.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))) (*.f64 1/21 (pow.f64 x 7))))) |
| ▶ | 0.5b | (fabs.f64 (/.f64 (fma.f64 1/21 (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 6)) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 2 (fabs.f64 x) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (PI.f64)))) |
Compiled 3323 to 2675 computations (19.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 6)) |
| ✓ | 0.1b | (*.f64 2/3 (pow.f64 (fabs.f64 x) 3)) |
| ✓ | 0.3b | (/.f64 (fma.f64 1/21 (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 6)) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 2 (fabs.f64 x) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (PI.f64))) |
| ✓ | 1.0b | (sqrt.f64 (PI.f64)) |
4 calls:
| 58.0ms | (/.f64 (fma.f64 1/21 (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 6)) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 2 (fabs.f64 x) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (PI.f64))) |
| 12.0ms | (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 6)) |
| 10.0ms | (*.f64 2/3 (pow.f64 (fabs.f64 x) 3)) |
| 0.0ms | (sqrt.f64 (PI.f64)) |
| 1× | batch-egg-rewrite |
| 249× | prod-diff_binary64 |
| 206× | add-sqr-sqrt_binary64 |
| 200× | log1p-expm1-u_binary64 |
| 200× | expm1-log1p-u_binary64 |
| 197× | add-log-exp_binary64 |
4 calls:
| 69.0ms | (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 6)) |
| 69.0ms | (*.f64 2/3 (pow.f64 (fabs.f64 x) 3)) |
| 69.0ms | (/.f64 (fma.f64 1/21 (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 6)) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 2 (fabs.f64 x) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (PI.f64))) |
| 69.0ms | (sqrt.f64 (PI.f64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 68 |
| 1 | 444 | 46 |
| 2 | 4446 | 46 |
| 3 | 4652 | 46 |
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 109 | 0 | 109 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 109 | 3 | 112 |
| Status | Error | Program |
| ✓ | 0.1b | (fabs.f64 (fma.f64 (pow.f64 (PI.f64) -1/2) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 2 (fabs.f64 x) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3)))) (*.f64 (pow.f64 (PI.f64) -1/2) (*.f64 1/21 (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 6)))))) |
| ✓ | 0.1b | (fabs.f64 (*.f64 (pow.f64 (PI.f64) -1/2) (+.f64 (fma.f64 1/5 (pow.f64 x 5) (fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))) (*.f64 1/21 (pow.f64 x 7))))) |
| ✓ | 0.5b | (fabs.f64 (/.f64 (fma.f64 1/21 (*.f64 (fabs.f64 x) (pow.f64 (fabs.f64 x) 6)) (fma.f64 1/5 (pow.f64 (fabs.f64 x) 5) (fma.f64 2 (fabs.f64 x) (*.f64 2/3 (pow.f64 (fabs.f64 x) 3))))) (sqrt.f64 (PI.f64)))) |
Compiled 3408 to 2343 computations (31.3% saved)
Total 0.1b remaining (80.3%)
Threshold costs 0.1b (80.3%)
Compiled 22047 to 14659 computations (33.5% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | fabs-mul_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 34 |
| 1 | 26 | 34 |
| 2 | 27 | 34 |
| 3 | 27 | 34 |
Compiled 138 to 107 computations (22.5% saved)
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