Time bar (total: 5.4s)
| 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 |
| 25% | 74.9% | 0.1% | 5 |
| 37.5% | 62.4% | 0.1% | 6 |
| 50% | 37.5% | 12.6% | 7 |
| 56.2% | 31.2% | 12.6% | 8 |
| 62.4% | 18.7% | 18.8% | 9 |
| 65.6% | 15.6% | 18.8% | 10 |
| 68.7% | 9.4% | 22% | 11 |
| 70.2% | 7.8% | 22% | 12 |
| 71.8% | 4.7% | 23.5% | 13 |
| 72.6% | 3.9% | 23.5% | 14 |
Compiled 8 to 5 computations (37.5% saved)
| 1× | intervals |
| 11.0ms | 256× | body | 128 | valid |
| 0.0ms | 8× | body | 128 | invalid |
Compiled 17 to 11 computations (35.3% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 1× | associate-*r*_binary64 |
| 1× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 9 | 7 |
| 2 | 10 | 7 |
| 3 | 10 | 7 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
| ▶ | 0.2b | (*.f64 (*.f64 x y) y) |
Compiled 26 to 13 computations (50% saved)
Found 1 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 (*.f64 x y) y) |
1 calls:
| 17.0ms | (*.f64 (*.f64 x y) y) |
| 1× | rewrite-expression-head |
| 6× | add-cbrt-cube_binary64 |
| 6× | add-exp-log_binary64 |
| 6× | pow1_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | cbrt-unprod_binary64 |
1 calls:
| 8.0ms | (*.f64 (*.f64 x y) y) |
| 1× | egg-herbie |
| 723× | fma-def_binary64 |
| 373× | associate-*l*_binary64 |
| 319× | unswap-sqr_binary64 |
| 312× | associate-*r/_binary64 |
| 263× | associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 389 |
| 1 | 95 | 344 |
| 2 | 300 | 344 |
| 3 | 591 | 342 |
| 4 | 859 | 342 |
| 5 | 1608 | 342 |
| 6 | 4153 | 342 |
| 7 | 4970 | 342 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 24 | 7 | 31 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 24 | 8 | 32 |
| Status | Error | Program |
| ▶ | 0.9b | (*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) |
| 20.3b | (*.f64 (sqrt.f64 (*.f64 (*.f64 x y) y)) (sqrt.f64 (*.f64 (*.f64 x y) y))) | |
| 1.0b | (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 (*.f64 x y) y))) | |
| 29.6b | (cbrt.f64 (pow.f64 (*.f64 (*.f64 y y) x) 3)) | |
| 27.9b | (exp.f64 (log.f64 (*.f64 (*.f64 y y) x))) | |
| 11.2b | (*.f64 (pow.f64 y 2) x) | |
| ✓ | 0.2b | (*.f64 (*.f64 x y) y) |
| 37.9b | (*.f64 (*.f64 x (pow.f64 y 3/2)) (sqrt.f64 y)) |
Compiled 478 to 179 computations (62.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) |
| ✓ | 0.3b | (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) |
| ✓ | 0.5b | (cbrt.f64 y) |
| ✓ | 0.6b | (*.f64 (cbrt.f64 y) (cbrt.f64 y)) |
4 calls:
| 545.0ms | (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) |
| 63.0ms | (*.f64 (cbrt.f64 y) (cbrt.f64 y)) |
| 53.0ms | (cbrt.f64 y) |
| 24.0ms | (*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) |
| 1× | rewrite-expression-head |
| 41× | pow1_binary64 |
| 36× | add-exp-log_binary64 |
| 23× | add-sqr-sqrt_binary64 |
| 23× | pow-prod-down_binary64 |
| 22× | cbrt-prod_binary64 |
4 calls:
| 12.0ms | (*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) |
| 7.0ms | (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) |
| 4.0ms | (*.f64 (cbrt.f64 y) (cbrt.f64 y)) |
| 1.0ms | (cbrt.f64 y) |
| 1× | egg-herbie |
| 501× | *-commutative_binary64 |
| 402× | sqr-pow_binary64 |
| 371× | log-prod_binary64 |
| 354× | exp-prod_binary64 |
| 292× | associate-*l*_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 1898 |
| 1 | 266 | 1553 |
| 2 | 1044 | 1446 |
| 3 | 1887 | 1418 |
| 4 | 3778 | 1300 |
| 5 | 4525 | 1296 |
| 6 | 4804 | 1296 |
| 7 | 4856 | 1296 |
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 181 | 5 | 186 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 181 | 13 | 194 |
| Status | Error | Program |
| 29.6b | (cbrt.f64 (pow.f64 (*.f64 (*.f64 y y) x) 3)) | |
| 1.1b | (*.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y))) | |
| 27.9b | (exp.f64 (log.f64 (*.f64 (*.f64 y y) x))) | |
| 1.7b | (*.f64 (*.f64 y (*.f64 x (pow.f64 (cbrt.f64 (cbrt.f64 y)) 8))) (cbrt.f64 (cbrt.f64 y))) | |
| 31.8b | (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 x y)) (*.f64 y y))) (cbrt.f64 y)) | |
| 11.2b | (*.f64 (pow.f64 y 2) x) | |
| 1.5b | (*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))))) (cbrt.f64 y)) | |
| ✓ | 0.2b | (*.f64 (*.f64 x y) y) |
| ✓ | 0.9b | (*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) |
| 20.3b | (*.f64 (sqrt.f64 (*.f64 (*.f64 x y) y)) (sqrt.f64 (*.f64 (*.f64 x y) y))) | |
| ▶ | 1.0b | (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 (*.f64 x y) y))) |
| 1.4b | (*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 4))) (cbrt.f64 y)) | |
| 37.9b | (*.f64 (*.f64 x (pow.f64 y 3/2)) (sqrt.f64 y)) |
Compiled 3376 to 967 computations (71.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.2b | (*.f64 (*.f64 x y) y) | |
| ✓ | 0.3b | (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 (*.f64 x y) y))) |
| ✓ | 0.5b | (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) |
| ✓ | 19.4b | (cbrt.f64 (*.f64 (*.f64 x y) y)) |
3 calls:
| 1.0s | (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) |
| 533.0ms | (cbrt.f64 (*.f64 (*.f64 x y) y)) |
| 41.0ms | (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 (*.f64 x y) y))) |
| 1× | rewrite-expression-head |
| 29× | pow1_binary64 |
| 16× | pow1/3_binary64 |
| 11× | pow-prod-up_binary64 |
| 11× | add-sqr-sqrt_binary64 |
| 10× | add-exp-log_binary64 |
3 calls:
| 13.0ms | (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 (*.f64 x y) y))) |
| 11.0ms | (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) |
| 5.0ms | (cbrt.f64 (*.f64 (*.f64 x y) y)) |
| 1× | egg-herbie |
| 651× | unswap-sqr_binary64 |
| 407× | fma-neg_binary64 |
| 356× | fma-def_binary64 |
| 202× | exp-prod_binary64 |
| 202× | log-prod_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 2312 |
| 1 | 275 | 1992 |
| 2 | 681 | 1634 |
| 3 | 1466 | 1454 |
| 4 | 4527 | 1450 |
| 5 | 4958 | 1450 |
| 6 | 4975 | 1450 |
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 272 | 4 | 276 |
| Fresh | 5 | 5 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 278 | 11 | 289 |
| Status | Error | Program |
| ✓ | 0.9b | (*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) |
| 1.5b | (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))))) (cbrt.f64 (*.f64 (*.f64 x y) y))) | |
| 31.8b | (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 x y)) (*.f64 y y))) (cbrt.f64 y)) | |
| 11.2b | (*.f64 (pow.f64 y 2) x) | |
| 1.5b | (*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))))) (cbrt.f64 y)) | |
| ▶ | 0.9b | (*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 x y))) (cbrt.f64 y)) |
| ✓ | 0.2b | (*.f64 (*.f64 x y) y) |
| 1.7b | (*.f64 (*.f64 y (*.f64 x (pow.f64 (cbrt.f64 (cbrt.f64 y)) 8))) (cbrt.f64 (cbrt.f64 y))) | |
| 1.4b | (*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 4))) (cbrt.f64 y)) | |
| 30.6b | (*.f64 (fabs.f64 (*.f64 (sqrt.f64 x) y)) (fabs.f64 (*.f64 (sqrt.f64 x) y))) | |
| 1.0b | (pow.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) 3) |
Compiled 6894 to 1430 computations (79.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.5b | (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) | |
| 0.5b | (cbrt.f64 y) | |
| ✓ | 9.5b | (cbrt.f64 (*.f64 x y)) |
| 19.4b | (cbrt.f64 (*.f64 (*.f64 x y) y)) |
1 calls:
| 507.0ms | (cbrt.f64 (*.f64 x y)) |
| 1× | rewrite-expression-head |
| 1× | *-un-lft-identity_binary64 |
| 1× | add-sqr-sqrt_binary64 |
| 1× | cbrt-prod_binary64 |
| 1× | add-cube-cbrt_binary64 |
| 1× | add-cbrt-cube_binary64 |
1 calls:
| 2.0ms | (cbrt.f64 (*.f64 x y)) |
| 1× | egg-herbie |
| 776× | unswap-sqr_binary64 |
| 540× | fma-def_binary64 |
| 408× | fma-neg_binary64 |
| 294× | times-frac_binary64 |
| 245× | div-sub_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 460 |
| 1 | 87 | 460 |
| 2 | 132 | 404 |
| 3 | 319 | 292 |
| 4 | 780 | 292 |
| 5 | 1796 | 282 |
| 6 | 4748 | 282 |
| 7 | 4920 | 282 |
12 alts after pruning (9 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 147 | 2 | 149 |
| Fresh | 1 | 7 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 148 | 12 | 160 |
| Status | Error | Program |
| ✓ | 0.9b | (*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) |
| 1.5b | (*.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y))))) (cbrt.f64 (*.f64 (*.f64 x y) y))) | |
| 31.8b | (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 x y)) (*.f64 y y))) (cbrt.f64 y)) | |
| 11.2b | (*.f64 (pow.f64 y 2) x) | |
| 1.5b | (*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))))) (cbrt.f64 y)) | |
| ✓ | 0.9b | (*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 x y))) (cbrt.f64 y)) |
| ✓ | 0.2b | (*.f64 (*.f64 x y) y) |
| 1.7b | (*.f64 (*.f64 y (*.f64 x (pow.f64 (cbrt.f64 (cbrt.f64 y)) 8))) (cbrt.f64 (cbrt.f64 y))) | |
| 30.7b | (*.f64 (*.f64 (*.f64 (fabs.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)))) (cbrt.f64 (*.f64 x y))) (cbrt.f64 y)) | |
| 1.2b | (*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 x y))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y)))) | |
| 30.6b | (*.f64 (fabs.f64 (*.f64 (sqrt.f64 x) y)) (fabs.f64 (*.f64 (sqrt.f64 x) y))) | |
| 1.0b | (pow.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) 3) |
Compiled 3996 to 1092 computations (72.7% saved)
Total 0.1b remaining (82.4%)
Threshold costs 0.1b (82.4%)
Compiled 2081 to 1015 computations (51.2% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 7 | 7 |
| 2 | 7 | 7 |
Compiled 7 to 4 computations (42.9% saved)
| 1× | intervals |
| 198.0ms | 8000× | body | 128 | valid |
| 3.0ms | 160× | body | 128 | invalid |
Compiled 270 to 116 computations (57% saved)
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