Time bar (total: 7.8s)
| 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% | 74.9% | 25.1% | 4 |
| 0% | 74.9% | 25.1% | 5 |
| 0% | 62.4% | 37.6% | 6 |
| 12.5% | 43.7% | 43.8% | 7 |
| 12.5% | 43.7% | 43.8% | 8 |
| 25% | 28.1% | 47% | 9 |
| 28.1% | 20.3% | 51.6% | 10 |
| 28.1% | 20.3% | 51.6% | 11 |
| 34.3% | 13.3% | 52.4% | 12 |
| 35.9% | 9.8% | 54.4% | 13 |
| 35.9% | 9.8% | 54.4% | 14 |
Compiled 16 to 12 computations (25% saved)
| 1× | intervals |
| 17.0ms | 256× | body | 128 | valid |
| 1.0ms | 9× | body | 128 | invalid |
| 0.0ms | 1× | body | 128 | nan |
Compiled 34 to 26 computations (23.5% saved)
| 1× | egg-herbie |
| 990× | fma-def_binary64 |
| 806× | fma-neg_binary64 |
| 746× | unsub-neg_binary64 |
| 520× | distribute-rgt-in_binary64 |
| 485× | distribute-neg-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 16 |
| 1 | 29 | 16 |
| 2 | 59 | 16 |
| 3 | 115 | 16 |
| 4 | 270 | 14 |
| 5 | 514 | 14 |
| 6 | 792 | 14 |
| 7 | 1191 | 14 |
| 8 | 1435 | 14 |
| 9 | 1716 | 14 |
| 10 | 2343 | 14 |
| 11 | 2639 | 14 |
| 12 | 2704 | 14 |
| 13 | 3251 | 14 |
| 14 | 3766 | 14 |
| 15 | 3977 | 14 |
| 16 | 4124 | 14 |
| 17 | 4234 | 14 |
| 18 | 4260 | 14 |
| 19 | 4085 | 14 |
| 20 | 4111 | 14 |
| 21 | 4149 | 14 |
| 22 | 4189 | 14 |
| 23 | 4189 | 14 |
| 24 | 4189 | 14 |
| 25 | 4871 | 14 |
| 26 | 4999 | 14 |
| 27 | 4907 | 14 |
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 |
| ▶ | 0.1b | (+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) |
Compiled 55 to 37 computations (32.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (-.f64 1 z) (log.f64 z)) |
| ✓ | 0.0b | (+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) |
| ✓ | 0.2b | (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) |
3 calls:
| 211.0ms | (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) |
| 90.0ms | (+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) |
| 5.0ms | (+.f64 (-.f64 1 z) (log.f64 z)) |
| 1× | rewrite-expression-head |
| 33× | *-un-lft-identity_binary64 |
| 19× | add-sqr-sqrt_binary64 |
| 14× | add-cube-cbrt_binary64 |
| 13× | associate-+l+_binary64 |
| 9× | prod-diff_binary64 |
3 calls:
| 8.0ms | (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) |
| 7.0ms | (+.f64 (-.f64 1 z) (log.f64 z)) |
| 5.0ms | (+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) |
| 1× | egg-herbie |
| 353× | times-frac_binary64 |
| 345× | associate-+l+_binary64 |
| 335× | *-commutative_binary64 |
| 284× | cancel-sign-sub-inv_binary64 |
| 270× | associate-+r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 161 | 2280 |
| 1 | 446 | 2015 |
| 2 | 1697 | 1951 |
| 3 | 3681 | 1950 |
| 4 | 4939 | 1950 |
| 5 | 4823 | 1950 |
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 143 | 6 | 149 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 144 | 6 | 150 |
| Status | Error | Program |
| 17.5b | (+.f64 (*.f64 x 1/2) (*.f64 y (cbrt.f64 (*.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (+.f64 (-.f64 1 z) (log.f64 z))) (+.f64 (-.f64 1 z) (log.f64 z)))))) | |
| ▶ | 0.1b | (fma.f64 y (-.f64 (+.f64 (log.f64 z) 1) z) (*.f64 1/2 x)) |
| 0.6b | (+.f64 (*.f64 x 1/2) (*.f64 (*.f64 y (*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))) | |
| 14.4b | (+.f64 (*.f64 x 1/2) (/.f64 (*.f64 y (-.f64 (*.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z)))) (-.f64 (-.f64 1 z) (log.f64 z)))) | |
| 17.7b | (+.f64 (*.f64 x 1/2) (/.f64 (*.f64 y (+.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 (log.f64 z) 3))) (+.f64 (*.f64 (-.f64 1 z) (-.f64 1 z)) (-.f64 (*.f64 (log.f64 z) (log.f64 z)) (*.f64 (-.f64 1 z) (log.f64 z)))))) | |
| 32.6b | (+.f64 (*.f64 x 1/2) (*.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))) |
Compiled 3167 to 1862 computations (41.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (log.f64 z) 1) |
| ✓ | 0.0b | (-.f64 (+.f64 (log.f64 z) 1) z) |
| ✓ | 0.1b | (fma.f64 y (-.f64 (+.f64 (log.f64 z) 1) z) (*.f64 1/2 x)) |
3 calls:
| 88.0ms | (fma.f64 y (-.f64 (+.f64 (log.f64 z) 1) z) (*.f64 1/2 x)) |
| 21.0ms | (+.f64 (log.f64 z) 1) |
| 5.0ms | (-.f64 (+.f64 (log.f64 z) 1) z) |
| 1× | rewrite-expression-head |
| 37× | *-un-lft-identity_binary64 |
| 17× | add-sqr-sqrt_binary64 |
| 15× | prod-diff_binary64 |
| 15× | add-cube-cbrt_binary64 |
| 12× | distribute-lft-out_binary64 |
3 calls:
| 6.0ms | (-.f64 (+.f64 (log.f64 z) 1) z) |
| 3.0ms | (+.f64 (log.f64 z) 1) |
| 0.0ms | (fma.f64 y (-.f64 (+.f64 (log.f64 z) 1) z) (*.f64 1/2 x)) |
| 1× | egg-herbie |
| 813× | fma-neg_binary64 |
| 672× | fma-def_binary64 |
| 390× | associate-*l*_binary64 |
| 337× | distribute-rgt-in_binary64 |
| 311× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 1666 |
| 1 | 307 | 1492 |
| 2 | 953 | 1442 |
| 3 | 4304 | 1442 |
| 4 | 4913 | 1442 |
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 101 | 1 | 102 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 104 | 4 | 108 |
| Status | Error | Program |
| 0.6b | (+.f64 (*.f64 x 1/2) (*.f64 (*.f64 y (*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))) | |
| 14.4b | (+.f64 (*.f64 x 1/2) (/.f64 (*.f64 y (-.f64 (*.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z)))) (-.f64 (-.f64 1 z) (log.f64 z)))) | |
| 17.7b | (+.f64 (*.f64 x 1/2) (/.f64 (*.f64 y (+.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 (log.f64 z) 3))) (+.f64 (*.f64 (-.f64 1 z) (-.f64 1 z)) (-.f64 (*.f64 (log.f64 z) (log.f64 z)) (*.f64 (-.f64 1 z) (log.f64 z)))))) | |
| ▶ | 0.1b | (fma.f64 y (-.f64 (/.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) (fma.f64 (log.f64 z) (log.f64 z) (-.f64 1 (log.f64 z)))) z) (*.f64 1/2 x)) |
Compiled 2056 to 1128 computations (45.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (fma.f64 y (-.f64 (/.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) (fma.f64 (log.f64 z) (log.f64 z) (-.f64 1 (log.f64 z)))) z) (*.f64 1/2 x)) |
| ✓ | 0.3b | (/.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) (fma.f64 (log.f64 z) (log.f64 z) (-.f64 1 (log.f64 z)))) |
| ✓ | 0.5b | (fma.f64 (log.f64 z) (log.f64 z) (-.f64 1 (log.f64 z))) |
| ✓ | 0.8b | (pow.f64 (log.f64 z) 3) |
4 calls:
| 894.0ms | (fma.f64 y (-.f64 (/.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) (fma.f64 (log.f64 z) (log.f64 z) (-.f64 1 (log.f64 z)))) z) (*.f64 1/2 x)) |
| 513.0ms | (/.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) (fma.f64 (log.f64 z) (log.f64 z) (-.f64 1 (log.f64 z)))) |
| 66.0ms | (fma.f64 (log.f64 z) (log.f64 z) (-.f64 1 (log.f64 z))) |
| 53.0ms | (pow.f64 (log.f64 z) 3) |
| 1× | rewrite-expression-head |
| 24× | *-un-lft-identity_binary64 |
| 16× | add-sqr-sqrt_binary64 |
| 16× | add-cube-cbrt_binary64 |
| 12× | times-frac_binary64 |
| 7× | add-cbrt-cube_binary64 |
4 calls:
| 6.0ms | (/.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) (fma.f64 (log.f64 z) (log.f64 z) (-.f64 1 (log.f64 z)))) |
| 3.0ms | (pow.f64 (log.f64 z) 3) |
| 0.0ms | (fma.f64 y (-.f64 (/.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) (fma.f64 (log.f64 z) (log.f64 z) (-.f64 1 (log.f64 z)))) z) (*.f64 1/2 x)) |
| 0.0ms | (fma.f64 (log.f64 z) (log.f64 z) (-.f64 1 (log.f64 z))) |
| 1× | egg-herbie |
| 634× | fma-neg_binary64 |
| 565× | fma-def_binary64 |
| 382× | times-frac_binary64 |
| 305× | cancel-sign-sub-inv_binary64 |
| 277× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 193 | 5845 |
| 1 | 484 | 5564 |
| 2 | 1562 | 5320 |
| 3 | 4051 | 5320 |
| 4 | 4942 | 5320 |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 145 | 0 | 145 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 145 | 4 | 149 |
| Status | Error | Program |
| ▶ | 0.6b | (+.f64 (*.f64 x 1/2) (*.f64 (*.f64 y (*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))) |
| 14.4b | (+.f64 (*.f64 x 1/2) (/.f64 (*.f64 y (-.f64 (*.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z)))) (-.f64 (-.f64 1 z) (log.f64 z)))) | |
| 17.7b | (+.f64 (*.f64 x 1/2) (/.f64 (*.f64 y (+.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 (log.f64 z) 3))) (+.f64 (*.f64 (-.f64 1 z) (-.f64 1 z)) (-.f64 (*.f64 (log.f64 z) (log.f64 z)) (*.f64 (-.f64 1 z) (log.f64 z)))))) | |
| ✓ | 0.1b | (fma.f64 y (-.f64 (/.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) (fma.f64 (log.f64 z) (log.f64 z) (-.f64 1 (log.f64 z)))) z) (*.f64 1/2 x)) |
Compiled 5370 to 3360 computations (37.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.f64 y (*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))) |
| ✓ | 0.3b | (*.f64 (*.f64 y (*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))) |
| ✓ | 0.5b | (*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))) |
| ✓ | 0.5b | (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) |
4 calls:
| 783.0ms | (*.f64 y (*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))) |
| 201.0ms | (*.f64 (*.f64 y (*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))) |
| 49.0ms | (*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))) |
| 29.0ms | (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) |
| 1× | rewrite-expression-head |
| 136× | *-un-lft-identity_binary64 |
| 86× | cbrt-prod_binary64 |
| 80× | cbrt-div_binary64 |
| 56× | distribute-lft-out_binary64 |
| 53× | pow1_binary64 |
4 calls:
| 25.0ms | (*.f64 (*.f64 y (*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))) |
| 18.0ms | (*.f64 y (*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))) |
| 15.0ms | (*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))) |
| 6.0ms | (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) |
| 1× | egg-herbie |
| 880× | fma-def_binary64 |
| 371× | associate-+l+_binary64 |
| 311× | *-commutative_binary64 |
| 172× | associate--r+_binary64 |
| 166× | +-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 701 | 11371 |
| 1 | 2193 | 10647 |
| 2 | 5483 | 10647 |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 411 | 1 | 412 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 412 | 4 | 416 |
| Status | Error | Program |
| 14.4b | (+.f64 (*.f64 x 1/2) (/.f64 (*.f64 y (-.f64 (*.f64 (-.f64 1 z) (-.f64 1 z)) (pow.f64 (log.f64 z) 2))) (-.f64 (-.f64 1 z) (log.f64 z)))) | |
| ✓ | 0.6b | (+.f64 (*.f64 x 1/2) (*.f64 (*.f64 y (*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))) |
| 17.7b | (+.f64 (*.f64 x 1/2) (/.f64 (*.f64 y (+.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 (log.f64 z) 3))) (+.f64 (*.f64 (-.f64 1 z) (-.f64 1 z)) (-.f64 (*.f64 (log.f64 z) (log.f64 z)) (*.f64 (-.f64 1 z) (log.f64 z)))))) | |
| ✓ | 0.1b | (fma.f64 y (-.f64 (/.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) (fma.f64 (log.f64 z) (log.f64 z) (-.f64 1 (log.f64 z)))) z) (*.f64 1/2 x)) |
Compiled 24315 to 16932 computations (30.4% saved)
Total 0.0b remaining (58.8%)
Threshold costs 0.0b (58.8%)
Compiled 21986 to 15323 computations (30.3% saved)
| 1× | egg-herbie |
| 3× | +-commutative_binary64 |
| 2× | *-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 16 |
| 1 | 17 | 16 |
| 2 | 21 | 16 |
| 3 | 23 | 16 |
| 4 | 24 | 16 |
| 5 | 23 | 16 |
Compiled 14 to 10 computations (28.6% saved)
| 1× | intervals |
| 476.0ms | 8000× | body | 128 | valid |
| 19.0ms | 287× | body | 128 | invalid |
| 3.0ms | 67× | body | 128 | nan |
Compiled 159 to 110 computations (30.8% saved)
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