Time bar (total: 5.5s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 75% | 25% | 0% | 4 |
| 75% | 25% | 0% | 5 |
| 75% | 25% | 0% | 6 |
| 78.1% | 21.9% | 0% | 7 |
| 78.1% | 21.9% | 0% | 8 |
| 78.1% | 21.9% | 0% | 9 |
| 78.1% | 21.9% | 0% | 10 |
| 78.1% | 21.9% | 0% | 11 |
| 78.1% | 21.9% | 0% | 12 |
| 78.1% | 21.9% | 0% | 13 |
| 78.1% | 21.8% | 0% | 14 |
Compiled 10 to 7 computations (30% saved)
| 1.5s | 2107× | body | 2048 | valid |
| 463.0ms | 1129× | body | 1024 | valid |
| 441.0ms | 1532× | body | 512 | valid |
| 286.0ms | 2593× | body | 128 | valid |
| 160.0ms | 794× | body | 256 | valid |
| 66.0ms | 101× | body | 4096 | valid |
Compiled 29 to 20 computations (31% saved)
| 1× | egg-herbie |
| 426× | fma-def_binary64 |
| 293× | fma-neg_binary64 |
| 85× | div-sub_binary64 |
| 74× | associate-/l*_binary64 |
| 63× | times-frac_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 12 |
| 1 | 16 | 12 |
| 2 | 27 | 12 |
| 3 | 40 | 12 |
| 4 | 72 | 12 |
| 5 | 110 | 12 |
| 6 | 158 | 12 |
| 7 | 253 | 12 |
| 8 | 383 | 12 |
| 9 | 526 | 12 |
| 10 | 640 | 12 |
| 11 | 625 | 12 |
| 12 | 570 | 12 |
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 |
| ▶ | 29.5b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
Compiled 27 to 18 computations (33.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (cos.f64 x) |
| ✓ | 1.9b | (-.f64 1 (cos.f64 x)) |
| ✓ | 13.7b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
3 calls:
| 8.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 2.0ms | (-.f64 1 (cos.f64 x)) |
| 2.0ms | (cos.f64 x) |
| 1× | rewrite-expression-head |
| 22× | *-un-lft-identity_binary64 |
| 22× | add-sqr-sqrt_binary64 |
| 13× | add-cube-cbrt_binary64 |
| 9× | prod-diff_binary64 |
| 8× | add-cbrt-cube_binary64 |
3 calls:
| 7.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 3.0ms | (-.f64 1 (cos.f64 x)) |
| 1.0ms | (cos.f64 x) |
| 1× | egg-herbie |
| 666× | fma-neg_binary64 |
| 414× | associate-*l*_binary64 |
| 405× | times-frac_binary64 |
| 398× | fma-def_binary64 |
| 365× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 1257 |
| 1 | 307 | 1122 |
| 2 | 931 | 1062 |
| 3 | 3591 | 1062 |
| 4 | 4890 | 1062 |
| 5 | 4908 | 1062 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 100 | 8 | 108 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 101 | 8 | 109 |
| Status | Error | Program |
| ▶ | 14.5b | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
| 29.3b | (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| 28.8b | (*.f64 (/.f64 1 x) (/.f64 (-.f64 1 (cos.f64 x)) x)) | |
| 33.5b | (-.f64 (fma.f64 1/720 (pow.f64 x 4) 1/2) (fma.f64 1/24 (*.f64 x x) (*.f64 1/40320 (pow.f64 x 6)))) | |
| 29.3b | (/.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 x (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) x))) | |
| 29.8b | (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) | |
| 47.8b | (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (cos.f64 x))) (-.f64 1 (sqrt.f64 (cos.f64 x)))) (*.f64 x x)) | |
| 29.6b | (/.f64 (-.f64 (pow.f64 1 3) (pow.f64 (cos.f64 x) 3)) (*.f64 (*.f64 x x) (+.f64 (*.f64 1 1) (+.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 1 (cos.f64 x)))))) |
Compiled 2028 to 1039 computations (48.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) |
| ✓ | 0.3b | (*.f64 (sin.f64 x) (sin.f64 x)) |
| ✓ | 0.6b | (+.f64 1 (cos.f64 x)) |
| ✓ | 13.7b | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
4 calls:
| 15.0ms | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
| 12.0ms | (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) |
| 6.0ms | (*.f64 (sin.f64 x) (sin.f64 x)) |
| 2.0ms | (+.f64 1 (cos.f64 x)) |
| 1× | rewrite-expression-head |
| 32× | add-cbrt-cube_binary64 |
| 32× | add-exp-log_binary64 |
| 25× | *-un-lft-identity_binary64 |
| 22× | times-frac_binary64 |
| 17× | add-sqr-sqrt_binary64 |
4 calls:
| 8.0ms | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
| 6.0ms | (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) |
| 3.0ms | (*.f64 (sin.f64 x) (sin.f64 x)) |
| 3.0ms | (+.f64 1 (cos.f64 x)) |
| 1× | egg-herbie |
| 610× | associate-*l/_binary64 |
| 540× | associate-/r/_binary64 |
| 423× | fma-def_binary64 |
| 335× | fma-neg_binary64 |
| 214× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 204 | 2904 |
| 1 | 504 | 2230 |
| 2 | 1767 | 2192 |
| 3 | 4643 | 2192 |
| 4 | 4935 | 2192 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 198 | 8 | 206 |
| Fresh | 7 | 0 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 206 | 8 | 214 |
| Status | Error | Program |
| 0.5b | (/.f64 1 (/.f64 x (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2))))) | |
| ▶ | 0.2b | (expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)))) |
| 0.5b | (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x (/.f64 (tan.f64 (/.f64 x 2)) x))) | |
| 13.8b | (*.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x))) x) (/.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x))) x)) | |
| 14.7b | (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (/.f64 (*.f64 x x) (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 1 (cos.f64 x)))))) | |
| 14.5b | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) 1)) (*.f64 x x)) | |
| 13.7b | (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 x (pow.f64 (cos.f64 x) 3) x)) (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) -1) 1) x)) | |
| 0.2b | (*.f64 (/.f64 1 x) (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2)))) |
Compiled 4472 to 2023 computations (54.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)))) |
| ✓ | 0.1b | (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
| ✓ | 0.1b | (/.f64 (tan.f64 (/.f64 x 2)) x) |
| ✓ | 0.1b | (/.f64 (sin.f64 x) x) |
4 calls:
| 13.0ms | (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
| 10.0ms | (expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)))) |
| 9.0ms | (/.f64 (tan.f64 (/.f64 x 2)) x) |
| 3.0ms | (/.f64 (sin.f64 x) x) |
| 1× | rewrite-expression-head |
| 46× | add-sqr-sqrt_binary64 |
| 40× | times-frac_binary64 |
| 34× | *-un-lft-identity_binary64 |
| 34× | add-cube-cbrt_binary64 |
| 20× | add-cbrt-cube_binary64 |
4 calls:
| 10.0ms | (/.f64 (tan.f64 (/.f64 x 2)) x) |
| 9.0ms | (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)) |
| 2.0ms | (/.f64 (sin.f64 x) x) |
| 0.0ms | (expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (tan.f64 (/.f64 x 2)) x)))) |
| 1× | egg-herbie |
| 594× | associate-/l*_binary64 |
| 557× | associate-*l/_binary64 |
| 474× | associate-*l*_binary64 |
| 464× | associate-*r/_binary64 |
| 426× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 197 | 3137 |
| 1 | 471 | 2856 |
| 2 | 1311 | 2828 |
| 3 | 4508 | 2816 |
| 4 | 4949 | 2816 |
| 5 | 4996 | 2816 |
| 6 | 4962 | 2816 |
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 160 | 4 | 164 |
| Fresh | 5 | 2 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 166 | 6 | 172 |
| Status | Error | Program |
| 0.2b | (expm1.f64 (log1p.f64 (*.f64 (*.f64 (sin.f64 x) (/.f64 1 x)) (/.f64 (tan.f64 (/.f64 x 2)) x)))) | |
| 14.3b | (expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (tan.f64 (/.f64 x 2)) (*.f64 x x))))) | |
| 0.5b | (/.f64 1 (/.f64 x (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2))))) | |
| ▶ | 0.1b | (expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (/.f64 x 2)) (*.f64 x (cos.f64 (/.f64 x 2))))))) |
| 14.2b | (expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 x 2))))) | |
| 13.8b | (*.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x))) x) (/.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x))) x)) |
Compiled 3582 to 2076 computations (42% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (/.f64 x 2)) (*.f64 x (cos.f64 (/.f64 x 2))))) |
| ✓ | 0.1b | (*.f64 x (cos.f64 (/.f64 x 2))) |
| 0.1b | (/.f64 (sin.f64 x) x) | |
| ✓ | 0.2b | (/.f64 (sin.f64 (/.f64 x 2)) (*.f64 x (cos.f64 (/.f64 x 2)))) |
3 calls:
| 10.0ms | (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (/.f64 x 2)) (*.f64 x (cos.f64 (/.f64 x 2))))) |
| 8.0ms | (/.f64 (sin.f64 (/.f64 x 2)) (*.f64 x (cos.f64 (/.f64 x 2)))) |
| 3.0ms | (*.f64 x (cos.f64 (/.f64 x 2))) |
| 1× | rewrite-expression-head |
| 31× | add-cbrt-cube_binary64 |
| 31× | add-exp-log_binary64 |
| 23× | add-sqr-sqrt_binary64 |
| 16× | associate-*l*_binary64 |
| 16× | *-un-lft-identity_binary64 |
3 calls:
| 19.0ms | (*.f64 x (cos.f64 (/.f64 x 2))) |
| 9.0ms | (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 (/.f64 x 2)) (*.f64 x (cos.f64 (/.f64 x 2))))) |
| 4.0ms | (/.f64 (sin.f64 (/.f64 x 2)) (*.f64 x (cos.f64 (/.f64 x 2)))) |
| 1× | egg-herbie |
| 559× | fma-def_binary64 |
| 438× | associate-/l/_binary64 |
| 380× | *-commutative_binary64 |
| 206× | fma-neg_binary64 |
| 204× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 187 | 3074 |
| 1 | 483 | 2567 |
| 2 | 1721 | 2557 |
| 3 | 3336 | 2547 |
| 4 | 4753 | 2547 |
| 5 | 4969 | 2547 |
| 6 | 4998 | 2547 |
| 7 | 4911 | 2547 |
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 212 | 2 | 214 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 215 | 5 | 220 |
| Status | Error | Program |
| 0.2b | (expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 (/.f64 x 2)) (*.f64 x (cos.f64 (/.f64 x 2))))) x))) | |
| 13.8b | (*.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x))) x) (/.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x))) x)) | |
| 0.2b | (expm1.f64 (log1p.f64 (*.f64 (*.f64 (sin.f64 x) (/.f64 1 x)) (/.f64 (tan.f64 (/.f64 x 2)) x)))) | |
| 0.2b | (expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (sin.f64 (/.f64 x 2)) x) (cos.f64 (/.f64 x 2)))))) | |
| 0.5b | (/.f64 1 (/.f64 x (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2))))) |
Compiled 5509 to 3444 computations (37.5% saved)
Total 0.1b remaining (84.2%)
Threshold costs 0.1b (84.2%)
Compiled 8139 to 5643 computations (30.7% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
| 1× | unpow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 29 |
| 1 | 19 | 29 |
| 2 | 18 | 29 |
Compiled 128 to 93 computations (27.3% saved)
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