Time bar (total: 4.2s)
| 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× | intervals |
| 30.0ms | 70× | body | 2048 | valid |
| 10.0ms | 42× | body | 1024 | valid |
| 9.0ms | 54× | body | 512 | valid |
| 4.0ms | 25× | body | 256 | valid |
| 3.0ms | 61× | body | 128 | valid |
| 2.0ms | 4× | body | 4096 | valid |
Compiled 20 to 14 computations (30% 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 |
| ▶ | 35.7b | (/.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 |
| ✓ | 0.1b | (cos.f64 x) |
| ✓ | 2.4b | (-.f64 1 (cos.f64 x)) |
| ✓ | 17.2b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
3 calls:
| 4.0ms | (/.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:
| 8.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)) |
| 4.0ms | (-.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 |
| 35.8b | (/.f64 (log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) | |
| 35.8b | (*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 x x)))) | |
| ▶ | 18.0b | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
| 35.6b | (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) | |
| 35.8b | (/.f64 (log.f64 (/.f64 (exp.f64 1) (exp.f64 (cos.f64 x)))) (*.f64 x x)) | |
| 35.7b | (/.f64 (-.f64 (pow.f64 1 3) (pow.f64 (cos.f64 x) 3)) (*.f64 x (fma.f64 x (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)) x))) | |
| 28.1b | (fma.f64 (*.f64 x x) -1/24 1/2) | |
| 34.6b | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) x) x) |
Compiled 1940 to 977 computations (49.6% 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))) |
| ✓ | 0.2b | (*.f64 (sin.f64 x) (sin.f64 x)) |
| ✓ | 0.3b | (+.f64 1 (cos.f64 x)) |
| ✓ | 17.3b | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
4 calls:
| 24.0ms | (+.f64 1 (cos.f64 x)) |
| 19.0ms | (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) |
| 17.0ms | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
| 5.0ms | (*.f64 (sin.f64 x) (sin.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:
| 9.0ms | (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 x x)) |
| 7.0ms | (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x))) |
| 4.0ms | (*.f64 (sin.f64 x) (sin.f64 x)) |
| 4.0ms | (+.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 |
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 198 | 8 | 206 |
| Fresh | 5 | 2 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 204 | 10 | 214 |
| Status | Error | Program |
| 17.3b | (*.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)) | |
| 35.8b | (/.f64 (log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) | |
| 17.9b | (/.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2))) (*.f64 x x)) | |
| 36.0b | (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) 2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) | |
| 18.4b | (/.f64 (/.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (cbrt.f64 (sin.f64 x))) (+.f64 1 (cos.f64 x))) (*.f64 x x)) | |
| ▶ | 0.2b | (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2))) x) |
| 0.7b | (*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) x) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x)))) x)) | |
| 17.1b | (*.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x))) (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x)))) x) (/.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) (sin.f64 x))) x)) | |
| 18.0b | (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x))) (*.f64 x x)) | |
| 35.6b | (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
Compiled 4564 to 2081 computations (54.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (/.f64 (sin.f64 x) x) |
| ✓ | 0.1b | (sin.f64 x) |
| ✓ | 0.2b | (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2))) |
| ✓ | 0.3b | (tan.f64 (/.f64 x 2)) |
4 calls:
| 13.0ms | (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2))) |
| 8.0ms | (tan.f64 (/.f64 x 2)) |
| 3.0ms | (/.f64 (sin.f64 x) x) |
| 2.0ms | (sin.f64 x) |
| 1× | rewrite-expression-head |
| 25× | add-sqr-sqrt_binary64 |
| 20× | *-un-lft-identity_binary64 |
| 20× | add-cube-cbrt_binary64 |
| 19× | times-frac_binary64 |
| 13× | associate-*l*_binary64 |
4 calls:
| 8.0ms | (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2))) |
| 2.0ms | (/.f64 (sin.f64 x) x) |
| 2.0ms | (tan.f64 (/.f64 x 2)) |
| 1.0ms | (sin.f64 x) |
| 1× | egg-herbie |
| 721× | fma-neg_binary64 |
| 607× | cancel-sign-sub-inv_binary64 |
| 305× | associate-*l*_binary64 |
| 271× | fma-def_binary64 |
| 265× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 160 | 1756 |
| 1 | 372 | 1616 |
| 2 | 970 | 1606 |
| 3 | 3012 | 1606 |
| 4 | 4400 | 1606 |
| 5 | 4989 | 1606 |
| 6 | 4940 | 1606 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 145 | 1 | 146 |
| Fresh | 2 | 7 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 147 | 9 | 156 |
| Status | Error | Program |
| 17.3b | (*.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)) | |
| 35.8b | (/.f64 (log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) | |
| 18.4b | (/.f64 (/.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (cbrt.f64 (sin.f64 x))) (+.f64 1 (cos.f64 x))) (*.f64 x x)) | |
| ✓ | 0.2b | (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2))) x) |
| 0.7b | (*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) x) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x)))) x)) | |
| ▶ | 0.2b | (/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (/.f64 x 2))) (cos.f64 (/.f64 x 2))) x) |
| 36.0b | (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) 2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) | |
| 18.0b | (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x))) (*.f64 x x)) | |
| 35.6b | (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
Compiled 2933 to 1549 computations (47.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.1b | (sin.f64 x) | |
| ✓ | 0.1b | (sin.f64 (/.f64 x 2)) |
| ✓ | 0.1b | (cos.f64 (/.f64 x 2)) |
| ✓ | 0.2b | (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (/.f64 x 2))) (cos.f64 (/.f64 x 2))) |
3 calls:
| 16.0ms | (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (/.f64 x 2))) (cos.f64 (/.f64 x 2))) |
| 2.0ms | (cos.f64 (/.f64 x 2)) |
| 2.0ms | (sin.f64 (/.f64 x 2)) |
| 1× | rewrite-expression-head |
| 12× | add-cbrt-cube_binary64 |
| 12× | add-exp-log_binary64 |
| 5× | *-un-lft-identity_binary64 |
| 5× | add-sqr-sqrt_binary64 |
| 5× | add-cube-cbrt_binary64 |
3 calls:
| 6.0ms | (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (/.f64 x 2))) (cos.f64 (/.f64 x 2))) |
| 2.0ms | (cos.f64 (/.f64 x 2)) |
| 2.0ms | (sin.f64 (/.f64 x 2)) |
| 1× | egg-herbie |
| 601× | times-frac_binary64 |
| 570× | associate-/l*_binary64 |
| 432× | associate-/l/_binary64 |
| 383× | associate-*l/_binary64 |
| 306× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 1458 |
| 1 | 325 | 1244 |
| 2 | 1045 | 1236 |
| 3 | 4263 | 1236 |
| 4 | 4774 | 1236 |
| 5 | 4951 | 1236 |
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 93 | 0 | 93 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 93 | 9 | 102 |
| Status | Error | Program |
| 17.3b | (*.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)) | |
| 35.8b | (/.f64 (log.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (*.f64 x x)) | |
| 18.4b | (/.f64 (/.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 4)) (cbrt.f64 (sin.f64 x))) (+.f64 1 (cos.f64 x))) (*.f64 x x)) | |
| ✓ | 0.2b | (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (tan.f64 (/.f64 x 2))) x) |
| 0.7b | (*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) x) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 x)))) x)) | |
| ✓ | 0.2b | (/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sin.f64 (/.f64 x 2))) (cos.f64 (/.f64 x 2))) x) |
| 36.0b | (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 (+.f64 x x))) 2) (+.f64 1 (cos.f64 x))) (*.f64 x x)) | |
| 18.0b | (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (-.f64 -1 (cos.f64 x))) (*.f64 x x)) | |
| 35.6b | (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 (cos.f64 x) (*.f64 x x))) |
Compiled 2202 to 1412 computations (35.9% saved)
Total 0.2b remaining (86.3%)
Threshold costs 0.2b (86.3%)
Compiled 5376 to 3427 computations (36.3% saved)
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 21 |
| 1 | 12 | 21 |
| 2 | 12 | 21 |
Compiled 14 to 10 computations (28.6% saved)
| 1× | intervals |
| 898.0ms | 1962× | body | 2048 | valid |
| 296.0ms | 1127× | body | 1024 | valid |
| 261.0ms | 1469× | body | 512 | valid |
| 138.0ms | 2591× | body | 128 | valid |
| 91.0ms | 746× | body | 256 | valid |
| 50.0ms | 105× | body | 4096 | valid |
Compiled 184 to 123 computations (33.2% saved)
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