Time bar (total: 6.5s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 25% | 74.9% | 0.1% | 6 |
| 37.4% | 62.4% | 0.1% | 7 |
| 56.2% | 43.7% | 0.1% | 8 |
| 56.2% | 43.7% | 0.1% | 9 |
| 65.5% | 34.3% | 0.1% | 10 |
| 76.5% | 23.4% | 0.1% | 11 |
| 76.5% | 23.4% | 0.1% | 12 |
| 81.9% | 17.9% | 0.1% | 13 |
| 87.8% | 12.1% | 0.1% | 14 |
Compiled 13 to 9 computations (30.8% saved)
| 1.4s | 2033× | body | 1024 | valid |
| 706.0ms | 4649× | body | 128 | valid |
| 402.0ms | 1053× | body | 512 | valid |
| 142.0ms | 518× | body | 256 | valid |
| 4.0ms | 3× | body | 2048 | valid |
Compiled 38 to 26 computations (31.6% saved)
| 1× | egg-herbie |
| 171× | fma-def_binary64 |
| 87× | fma-neg_binary64 |
| 36× | cancel-sign-sub-inv_binary64 |
| 23× | distribute-rgt-neg-in_binary64 |
| 20× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 1 | 17 | 14 |
| 2 | 28 | 14 |
| 3 | 45 | 14 |
| 4 | 67 | 14 |
| 5 | 101 | 14 |
| 6 | 153 | 14 |
| 7 | 214 | 14 |
| 8 | 258 | 14 |
| 9 | 280 | 14 |
| 10 | 300 | 14 |
| 11 | 306 | 14 |
| 12 | 275 | 14 |
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 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 36 to 24 computations (33.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (sin.f64 y) |
| ✓ | 0.0b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| ✓ | 0.1b | (*.f64 z (sin.f64 y)) |
| ✓ | 0.1b | (*.f64 x (cos.f64 y)) |
4 calls:
| 16.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 7.0ms | (*.f64 x (cos.f64 y)) |
| 7.0ms | (*.f64 z (sin.f64 y)) |
| 2.0ms | (sin.f64 y) |
| 2× | batch-egg-rewrite |
| 518× | log-prod_binary64 |
| 391× | fma-def_binary64 |
| 230× | egg-rr |
| 190× | fma-neg_binary64 |
| 184× | expm1-udef_binary64 |
4 calls:
| 77.0ms | (sin.f64 y) |
| 77.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 77.0ms | (*.f64 z (sin.f64 y)) |
| 77.0ms | (*.f64 x (cos.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 1 | 194 | 29 |
| 2 | 2475 | 29 |
| 3 | 4984 | 29 |
| 0 | 0 | 0 |
| 1 | 0 | 0 |
| 1× | egg-herbie |
| 762× | fma-neg_binary64 |
| 738× | distribute-rgt-neg-in_binary64 |
| 459× | sub-neg_binary64 |
| 418× | *-commutative_binary64 |
| 272× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 906 |
| 1 | 195 | 889 |
| 2 | 553 | 864 |
| 3 | 1732 | 861 |
| 4 | 3789 | 861 |
| 5 | 5068 | 861 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 253 | 8 | 261 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 254 | 8 | 262 |
| Status | Error | Program |
| 20.7b | (fma.f64 (*.f64 (cos.f64 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (neg.f64 (*.f64 z (sin.f64 y)))) | |
| 20.7b | (fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) | |
| 34.6b | (fma.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))) | |
| 26.0b | (-.f64 (fma.f64 (*.f64 x (*.f64 y y)) -1/2 x) (*.f64 z (sin.f64 y))) | |
| 0.8b | (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y))) | |
| 10.9b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1))) | |
| 10.9b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (log.f64 (+.f64 1 (expm1.f64 (sin.f64 y)))))) | |
| ▶ | 0.2b | (fma.f64 x (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))) |
Compiled 5609 to 1343 computations (76.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (fma.f64 x (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))) |
| 0.1b | (*.f64 z (sin.f64 y)) | |
| ✓ | 0.1b | (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))) |
| ✓ | 53.0b | (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) |
3 calls:
| 28.0ms | (fma.f64 x (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))) |
| 18.0ms | (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) |
| 17.0ms | (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))) |
| 2× | batch-egg-rewrite |
| 897× | expm1-log1p-u_binary64 |
| 708× | prod-diff_binary64 |
| 114× | add-sqr-sqrt_binary64 |
| 104× | log1p-expm1-u_binary64 |
| 103× | add-cbrt-cube_binary64 |
3 calls:
| 62.0ms | (fma.f64 x (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))) |
| 62.0ms | (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))) |
| 62.0ms | (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 64 |
| 1 | 220 | 51 |
| 2 | 2346 | 51 |
| 3 | 5191 | 51 |
| 0 | 0 | 0 |
| 1 | 0 | 0 |
| 1× | egg-herbie |
| 760× | fma-def_binary64 |
| 658× | distribute-rgt-neg-in_binary64 |
| 566× | distribute-lft-neg-in_binary64 |
| 436× | cancel-sign-sub-inv_binary64 |
| 408× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 726 |
| 1 | 126 | 720 |
| 2 | 335 | 708 |
| 3 | 890 | 704 |
| 4 | 3065 | 704 |
| 5 | 4465 | 704 |
| 6 | 4937 | 704 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 111 | 0 | 111 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 111 | 8 | 119 |
| Status | Error | Program |
| 20.7b | (fma.f64 (*.f64 (cos.f64 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (neg.f64 (*.f64 z (sin.f64 y)))) | |
| 20.7b | (fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) | |
| 34.6b | (fma.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))) | |
| 26.0b | (-.f64 (fma.f64 (*.f64 x (*.f64 y y)) -1/2 x) (*.f64 z (sin.f64 y))) | |
| ▶ | 0.8b | (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y))) |
| 10.9b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1))) | |
| 10.9b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (log.f64 (+.f64 1 (expm1.f64 (sin.f64 y)))))) | |
| ✓ | 0.2b | (fma.f64 x (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))) |
Compiled 2615 to 766 computations (70.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.1b | (*.f64 z (sin.f64 y)) | |
| 0.1b | (*.f64 x (cos.f64 y)) | |
| ✓ | 0.5b | (cbrt.f64 (*.f64 x (cos.f64 y))) |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) |
2 calls:
| 456.0ms | (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) |
| 418.0ms | (cbrt.f64 (*.f64 x (cos.f64 y))) |
| 2× | batch-egg-rewrite |
| 596× | log1p-expm1-u_binary64 |
| 596× | expm1-log1p-u_binary64 |
| 319× | log-prod_binary64 |
| 308× | fma-def_binary64 |
| 121× | expm1-udef_binary64 |
2 calls:
| 87.0ms | (cbrt.f64 (*.f64 x (cos.f64 y))) |
| 87.0ms | (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 146 | 14 |
| 2 | 1576 | 14 |
| 3 | 4915 | 14 |
| 4 | 5136 | 14 |
| 0 | 0 | 0 |
| 1 | 0 | 0 |
| 1× | egg-herbie |
| 545× | fma-neg_binary64 |
| 351× | distribute-rgt-neg-in_binary64 |
| 345× | distribute-lft-neg-in_binary64 |
| 226× | unswap-sqr_binary64 |
| 210× | associate-*r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 872 |
| 1 | 192 | 865 |
| 2 | 511 | 712 |
| 3 | 1791 | 464 |
| 4 | 4691 | 456 |
| 5 | 4965 | 456 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 133 | 0 | 133 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 133 | 8 | 141 |
| Status | Error | Program |
| 20.7b | (fma.f64 (*.f64 (cos.f64 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (neg.f64 (*.f64 z (sin.f64 y)))) | |
| 20.7b | (fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) | |
| 34.6b | (fma.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))) | |
| 26.0b | (-.f64 (fma.f64 (*.f64 x (*.f64 y y)) -1/2 x) (*.f64 z (sin.f64 y))) | |
| ✓ | 0.8b | (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y))) |
| ▶ | 10.9b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1))) |
| 10.9b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (log.f64 (+.f64 1 (expm1.f64 (sin.f64 y)))))) | |
| ✓ | 0.2b | (fma.f64 x (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))) |
Compiled 2558 to 1094 computations (57.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (exp.f64 (log1p.f64 (sin.f64 y))) |
| 0.1b | (*.f64 x (cos.f64 y)) | |
| ✓ | 0.2b | (log1p.f64 (sin.f64 y)) |
| ✓ | 2.9b | (-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1) |
3 calls:
| 183.0ms | (log1p.f64 (sin.f64 y)) |
| 181.0ms | (-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1) |
| 181.0ms | (exp.f64 (log1p.f64 (sin.f64 y))) |
| 2× | batch-egg-rewrite |
| 519× | expm1-log1p-u_binary64 |
| 518× | log1p-expm1-u_binary64 |
| 313× | unpow-prod-down_binary64 |
| 236× | log-prod_binary64 |
| 160× | prod-diff_binary64 |
3 calls:
| 52.0ms | (exp.f64 (log1p.f64 (sin.f64 y))) |
| 52.0ms | (log1p.f64 (sin.f64 y)) |
| 52.0ms | (-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 120 | 14 |
| 2 | 1317 | 14 |
| 3 | 5057 | 14 |
| 0 | 0 | 0 |
| 1 | 0 | 0 |
| 1× | egg-herbie |
| 708× | fma-def_binary64 |
| 399× | distribute-rgt-neg-in_binary64 |
| 339× | distribute-lft-neg-in_binary64 |
| 318× | cancel-sign-sub-inv_binary64 |
| 294× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 260 |
| 1 | 114 | 254 |
| 2 | 279 | 242 |
| 3 | 807 | 232 |
| 4 | 2554 | 232 |
| 5 | 4954 | 232 |
| 6 | 5063 | 232 |
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 187 | 0 | 187 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 187 | 8 | 195 |
| Status | Error | Program |
| 20.7b | (fma.f64 (*.f64 (cos.f64 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (neg.f64 (*.f64 z (sin.f64 y)))) | |
| 20.7b | (fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (cos.f64 y)) (neg.f64 (*.f64 z (sin.f64 y)))) | |
| 34.6b | (fma.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))) | |
| 26.0b | (-.f64 (fma.f64 (*.f64 x (*.f64 y y)) -1/2 x) (*.f64 z (sin.f64 y))) | |
| ✓ | 0.8b | (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) 3) (*.f64 z (sin.f64 y))) |
| ✓ | 10.9b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) 1))) |
| 10.9b | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (log.f64 (+.f64 1 (expm1.f64 (sin.f64 y)))))) | |
| ✓ | 0.2b | (fma.f64 x (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))) |
Compiled 3715 to 1914 computations (48.5% saved)
Total 0.1b remaining (63.4%)
Threshold costs 0.1b (63.4%)
Compiled 9128 to 6094 computations (33.2% saved)
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 3× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 1 | 18 | 14 |
| 2 | 26 | 14 |
| 3 | 31 | 14 |
| 4 | 33 | 14 |
| 5 | 33 | 14 |
Compiled 187 to 108 computations (42.2% saved)
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