Time bar (total: 12.7s)
| 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 |
| 0% | 74.9% | 25.1% | 6 |
| 6.2% | 68.6% | 25.1% | 7 |
| 10.1% | 64.7% | 25.1% | 8 |
| 17.2% | 32.8% | 50.1% | 9 |
| 23% | 26.9% | 50.1% | 10 |
| 26.8% | 23.1% | 50.1% | 11 |
| 31.6% | 18.3% | 50.1% | 12 |
| 35.2% | 14.7% | 50.1% | 13 |
| 37.5% | 12.4% | 50.1% | 14 |
Compiled 16 to 11 computations (31.3% saved)
| 1× | intervals |
| 14.0ms | 256× | body | 128 | valid |
| 0.0ms | 2× | body | 128 | invalid |
Compiled 34 to 24 computations (29.4% saved)
| 1× | egg-herbie |
| 782× | fma-neg_binary64 |
| 610× | unsub-neg_binary64 |
| 567× | distribute-rgt-in_binary64 |
| 442× | sub-neg_binary64 |
| 412× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 18 |
| 1 | 25 | 18 |
| 2 | 75 | 16 |
| 3 | 253 | 16 |
| 4 | 654 | 16 |
| 5 | 1767 | 16 |
| 6 | 2167 | 16 |
| 7 | 2284 | 16 |
| 8 | 2375 | 16 |
| 9 | 2374 | 16 |
| 10 | 2391 | 16 |
| 11 | 2701 | 16 |
| 12 | 3417 | 16 |
| 13 | 4877 | 16 |
| 14 | 4713 | 16 |
| 15 | 4967 | 16 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
| ▶ | 0.1b | (-.f64 y (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x)) |
Compiled 54 to 33 computations (38.9% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x) |
| ✓ | 0.1b | (-.f64 y (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x)) |
| ✓ | 0.1b | (fma.f64 (+.f64 y 1/2) (log.f64 y) z) |
| 1× | rewrite-expression-head |
| 43× | *-un-lft-identity_binary64 |
| 40× | add-sqr-sqrt_binary64 |
| 33× | prod-diff_binary64 |
| 28× | add-cube-cbrt_binary64 |
| 14× | associate--r+_binary64 |
3 calls:
| 6.0ms | (-.f64 y (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x)) |
| 3.0ms | (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x) |
| 0.0ms | (fma.f64 (+.f64 y 1/2) (log.f64 y) z) |
3 calls:
| 162.0ms | (-.f64 y (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x)) |
| 154.0ms | (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x) |
| 105.0ms | (fma.f64 (+.f64 y 1/2) (log.f64 y) z) |
| 1× | egg-herbie |
| 395× | associate-+l+_binary64 |
| 315× | exp-sum_binary64 |
| 303× | associate-+r+_binary64 |
| 250× | associate--r+_binary64 |
| 246× | associate--l+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 202 | 3702 |
| 1 | 445 | 3255 |
| 2 | 1627 | 2853 |
| 3 | 4463 | 2853 |
| 4 | 4980 | 2853 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 359 | 8 | 367 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 360 | 8 | 368 |
| Status | Error | Program |
| 48.3b | (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x) 3)) (+.f64 (*.f64 y y) (+.f64 (*.f64 (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x) (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x)) (*.f64 y (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x))))) | |
| 38.7b | (*.f64 (+.f64 1 (log.f64 (/.f64 1 y))) y) | |
| 22.5b | (-.f64 y (fma.f64 (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) (neg.f64 x))) | |
| 1.0b | (-.f64 y (-.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) x)) | |
| 1.3b | (*.f64 (*.f64 (cbrt.f64 (-.f64 y (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x))) (cbrt.f64 (-.f64 y (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x)))) (cbrt.f64 (-.f64 y (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x)))) | |
| 48.3b | (cbrt.f64 (pow.f64 (-.f64 (+.f64 y x) (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) 3)) | |
| ▶ | 0.1b | (-.f64 y (-.f64 (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))) x)) |
| 38.9b | (/.f64 (-.f64 (*.f64 y y) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z) x)) 6)) (+.f64 y (-.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z) x))) |
Compiled 4575 to 2296 computations (49.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y))) |
| ✓ | 0.0b | (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))) |
| ✓ | 0.1b | (-.f64 y (-.f64 (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))) x)) |
| ✓ | 0.3b | (*.f64 y (log.f64 y)) |
| 1× | rewrite-expression-head |
| 69× | *-un-lft-identity_binary64 |
| 44× | add-sqr-sqrt_binary64 |
| 32× | add-cube-cbrt_binary64 |
| 30× | prod-diff_binary64 |
| 25× | add-log-exp_binary64 |
4 calls:
| 11.0ms | (-.f64 y (-.f64 (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))) x)) |
| 4.0ms | (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))) |
| 4.0ms | (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y))) |
| 3.0ms | (*.f64 y (log.f64 y)) |
4 calls:
| 814.0ms | (-.f64 y (-.f64 (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))) x)) |
| 398.0ms | (*.f64 y (log.f64 y)) |
| 382.0ms | (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))) |
| 177.0ms | (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y))) |
| 1× | egg-herbie |
| 371× | cancel-sign-sub-inv_binary64 |
| 367× | fma-neg_binary64 |
| 361× | times-frac_binary64 |
| 264× | exp-sum_binary64 |
| 255× | associate--l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 265 | 3307 |
| 1 | 618 | 2935 |
| 2 | 2252 | 2834 |
| 3 | 4099 | 2824 |
| 4 | 5083 | 2824 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 388 | 6 | 394 |
| Fresh | 5 | 2 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 393 | 9 | 402 |
| Status | Error | Program |
| 0.6b | (-.f64 y (-.f64 (+.f64 z (+.f64 (*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 y) (log.f64 y))) (*.f64 1/2 (log.f64 y)))) x)) | |
| ✓ | 0.1b | (-.f64 y (-.f64 (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))) x)) |
| ▶ | 0.2b | (-.f64 y (-.f64 (+.f64 z (+.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) y) (fma.f64 y (log.f64 (cbrt.f64 y)) (log.f64 (sqrt.f64 y))))) x)) |
| 27.9b | (-.f64 y (-.f64 (+.f64 z (/.f64 (*.f64 (pow.f64 (log.f64 y) 3) (+.f64 (pow.f64 y 3) 1/8)) (*.f64 (log.f64 y) (-.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y y) 1/4)) (*.f64 y (log.f64 (sqrt.f64 y))))))) x)) | |
| 0.5b | (-.f64 y (-.f64 (+.f64 z (+.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 y (log.f64 y))) (cbrt.f64 (*.f64 y (log.f64 y)))) (cbrt.f64 (*.f64 y (log.f64 y)))) (*.f64 1/2 (log.f64 y)))) x)) | |
| 48.3b | (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x) 3)) (+.f64 (*.f64 y y) (+.f64 (*.f64 (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x) (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x)) (*.f64 y (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x))))) | |
| 38.7b | (*.f64 y (-.f64 1 (log.f64 y))) | |
| 0.5b | (-.f64 y (-.f64 (+.f64 z (+.f64 (*.f64 (*.f64 y (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))) (cbrt.f64 (log.f64 y))) (*.f64 1/2 (log.f64 y)))) x)) | |
| 38.9b | (/.f64 (-.f64 (*.f64 y y) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z) x)) 6)) (+.f64 y (-.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z) x))) |
Compiled 6147 to 2830 computations (54% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.5b | (*.f64 (cbrt.f64 y) (cbrt.f64 y)) |
| 0.6b | (cbrt.f64 y) | |
| 0.6b | (cbrt.f64 y) | |
| ✓ | 0.6b | (cbrt.f64 y) |
| 1× | rewrite-expression-head |
| 19× | add-sqr-sqrt_binary64 |
| 19× | cbrt-prod_binary64 |
| 11× | *-un-lft-identity_binary64 |
| 11× | add-cube-cbrt_binary64 |
| 9× | pow1_binary64 |
2 calls:
| 9.0ms | (*.f64 (cbrt.f64 y) (cbrt.f64 y)) |
| 1.0ms | (cbrt.f64 y) |
2 calls:
| 492.0ms | (*.f64 (cbrt.f64 y) (cbrt.f64 y)) |
| 474.0ms | (cbrt.f64 y) |
| 1× | egg-herbie |
| 577× | distribute-rgt-in_binary64 |
| 561× | log-prod_binary64 |
| 538× | distribute-lft-in_binary64 |
| 525× | unswap-sqr_binary64 |
| 384× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 610 |
| 1 | 98 | 554 |
| 2 | 296 | 516 |
| 3 | 769 | 502 |
| 4 | 1799 | 410 |
| 5 | 4642 | 410 |
| 6 | 4805 | 410 |
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 273 | 1 | 274 |
| Fresh | 1 | 6 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 274 | 9 | 283 |
| Status | Error | Program |
| 0.6b | (-.f64 y (-.f64 (+.f64 z (+.f64 (*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 y) (log.f64 y))) (*.f64 1/2 (log.f64 y)))) x)) | |
| ✓ | 0.1b | (-.f64 y (-.f64 (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))) x)) |
| ✓ | 0.2b | (-.f64 y (-.f64 (+.f64 z (+.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) y) (fma.f64 y (log.f64 (cbrt.f64 y)) (log.f64 (sqrt.f64 y))))) x)) |
| 27.9b | (-.f64 y (-.f64 (+.f64 z (/.f64 (*.f64 (pow.f64 (log.f64 y) 3) (+.f64 (pow.f64 y 3) 1/8)) (*.f64 (log.f64 y) (-.f64 (*.f64 (log.f64 y) (+.f64 (*.f64 y y) 1/4)) (*.f64 y (log.f64 (sqrt.f64 y))))))) x)) | |
| 0.5b | (-.f64 y (-.f64 (+.f64 z (+.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 y (log.f64 y))) (cbrt.f64 (*.f64 y (log.f64 y)))) (cbrt.f64 (*.f64 y (log.f64 y)))) (*.f64 1/2 (log.f64 y)))) x)) | |
| 48.3b | (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x) 3)) (+.f64 (*.f64 y y) (+.f64 (*.f64 (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x) (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x)) (*.f64 y (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x))))) | |
| ▶ | 0.2b | (-.f64 y (-.f64 (+.f64 z (+.f64 (*.f64 (log.f64 (exp.f64 (*.f64 2/3 (log.f64 y)))) y) (fma.f64 y (log.f64 (cbrt.f64 y)) (log.f64 (sqrt.f64 y))))) x)) |
| 38.7b | (*.f64 y (-.f64 1 (log.f64 y))) | |
| 38.9b | (/.f64 (-.f64 (*.f64 y y) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z) x)) 6)) (+.f64 y (-.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z) x))) |
Compiled 3379 to 1225 computations (63.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 (log.f64 (exp.f64 (*.f64 2/3 (log.f64 y)))) y) |
| ✓ | 0.4b | (*.f64 2/3 (log.f64 y)) |
| 0.6b | (cbrt.f64 y) | |
| ✓ | 5.2b | (exp.f64 (*.f64 2/3 (log.f64 y))) |
| 1× | rewrite-expression-head |
| 15× | add-sqr-sqrt_binary64 |
| 12× | log-prod_binary64 |
| 11× | *-un-lft-identity_binary64 |
| 11× | add-cube-cbrt_binary64 |
| 9× | associate-*l*_binary64 |
3 calls:
| 12.0ms | (*.f64 (log.f64 (exp.f64 (*.f64 2/3 (log.f64 y)))) y) |
| 6.0ms | (*.f64 2/3 (log.f64 y)) |
| 3.0ms | (exp.f64 (*.f64 2/3 (log.f64 y))) |
3 calls:
| 1.5s | (*.f64 (log.f64 (exp.f64 (*.f64 2/3 (log.f64 y)))) y) |
| 460.0ms | (exp.f64 (*.f64 2/3 (log.f64 y))) |
| 448.0ms | (*.f64 2/3 (log.f64 y)) |
| 1× | egg-herbie |
| 540× | associate-*l*_binary64 |
| 456× | log-prod_binary64 |
| 335× | times-frac_binary64 |
| 310× | associate-*r*_binary64 |
| 284× | unswap-sqr_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 959 |
| 1 | 200 | 868 |
| 2 | 507 | 828 |
| 3 | 1557 | 780 |
| 4 | 3459 | 768 |
| 5 | 4807 | 768 |
| 6 | 5175 | 768 |
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 355 | 3 | 358 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 357 | 10 | 367 |
| Status | Error | Program |
| 0.6b | (-.f64 y (-.f64 (+.f64 z (+.f64 (*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 y) (log.f64 y))) (*.f64 1/2 (log.f64 y)))) x)) | |
| ✓ | 0.1b | (-.f64 y (-.f64 (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))) x)) |
| 25.2b | (-.f64 y (-.f64 (+.f64 z (+.f64 (*.f64 (log.f64 (exp.f64 (exp.f64 (log.f64 (*.f64 2/3 (log.f64 y)))))) y) (fma.f64 y (log.f64 (cbrt.f64 y)) (log.f64 (sqrt.f64 y))))) x)) | |
| ✓ | 0.2b | (-.f64 y (-.f64 (+.f64 z (+.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) y) (fma.f64 y (log.f64 (cbrt.f64 y)) (log.f64 (sqrt.f64 y))))) x)) |
| 0.5b | (-.f64 y (-.f64 (+.f64 z (+.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 y (log.f64 y))) (cbrt.f64 (*.f64 y (log.f64 y)))) (cbrt.f64 (*.f64 y (log.f64 y)))) (*.f64 1/2 (log.f64 y)))) x)) | |
| 48.3b | (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x) 3)) (+.f64 (*.f64 y y) (+.f64 (*.f64 (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x) (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x)) (*.f64 y (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x))))) | |
| 38.7b | (*.f64 y (-.f64 1 (log.f64 y))) | |
| 25.1b | (-.f64 y (-.f64 (+.f64 z (+.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 2/3 (log.f64 y))) (sqrt.f64 (*.f64 2/3 (log.f64 y)))))) y) (fma.f64 y (log.f64 (cbrt.f64 y)) (log.f64 (sqrt.f64 y))))) x)) | |
| 0.4b | (-.f64 y (-.f64 (+.f64 z (+.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (*.f64 (cbrt.f64 (log.f64 (pow.f64 y 2/3))) (cbrt.f64 (log.f64 (pow.f64 y 2/3)))) (cbrt.f64 (log.f64 (pow.f64 y 2/3)))))) y) (fma.f64 y (log.f64 (cbrt.f64 y)) (log.f64 (sqrt.f64 y))))) x)) | |
| 38.9b | (/.f64 (-.f64 (*.f64 y y) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z) x)) 6)) (+.f64 y (-.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z) x))) |
Compiled 3670 to 1721 computations (53.1% saved)
Total 0.1b remaining (80.6%)
Threshold costs 0.1b (80.6%)
Compiled 24882 to 15888 computations (36.1% saved)
| 1× | egg-herbie |
| 13× | +-commutative_binary64 |
| 11× | sub-neg_binary64 |
| 10× | *-commutative_binary64 |
| 9× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 25 |
| 1 | 31 | 23 |
| 2 | 43 | 23 |
| 3 | 59 | 23 |
| 4 | 85 | 23 |
| 5 | 95 | 23 |
| 6 | 101 | 23 |
| 7 | 103 | 23 |
| 8 | 98 | 23 |
Compiled 18 to 11 computations (38.9% saved)
| 1× | intervals |
| 898.0ms | 7999× | body | 128 | valid |
| 4.0ms | 40× | body | 128 | invalid |
| 0.0ms | 1× | body | 1024 | valid |
Compiled 331 to 208 computations (37.2% saved)
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