Time bar (total: 13.2s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 2.1% | 97.9% | 0 |
| 0% | 2.1% | 97.9% | 1 |
| 1% | 1% | 97.9% | 2 |
| 1% | 1% | 97.9% | 3 |
| 1.5% | 0.5% | 97.9% | 4 |
| 1.5% | 0.5% | 97.9% | 5 |
| 1.8% | 0.3% | 97.9% | 6 |
| 1.8% | 0.3% | 97.9% | 7 |
| 1.9% | 0.1% | 97.9% | 8 |
| 1.9% | 0.1% | 97.9% | 9 |
| 2% | 0.1% | 97.9% | 10 |
| 2% | 0.1% | 97.9% | 11 |
| 2% | 0% | 97.9% | 12 |
| 2% | 0% | 97.9% | 13 |
| 2% | 0% | 97.9% | 14 |
Compiled 44 to 32 computations (27.3% saved)
| 1× | intervals |
| 73.0ms | 256× | body | 128 | valid |
| 10.0ms | 256× | pre | 128 | true |
Compiled 81 to 59 computations (27.2% saved)
| 1× | egg-herbie |
| 634× | associate-*l*_binary32 |
| 530× | associate-*r*_binary32 |
| 445× | associate-/r*_binary32 |
| 406× | *-commutative_binary32 |
| 367× | associate-/l*_binary32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 53 |
| 1 | 66 | 45 |
| 2 | 235 | 35 |
| 3 | 850 | 32 |
| 4 | 2524 | 32 |
| 5 | 3762 | 32 |
| 6 | 4029 | 32 |
| 7 | 4426 | 32 |
| 8 | 4756 | 32 |
| 9 | 4857 | 32 |
| 10 | 4783 | 32 |
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 |
| ▶ | 0.1b | (+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 PI.f32) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (*.f32 6 PI.f32) s) r))) |
| 1.3b | (*.f32 (/.f32 (/.f32 1/8 (*.f32 s PI.f32)) r) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (exp.f32 (/.f32 r s)) -1/3))) |
Compiled 136 to 98 computations (27.9% saved)
Found 4 expressions with local error:
| 0.2b | (/.f32 (neg.f32 r) (*.f32 3 s)) |
| 0.3b | (*.f32 (*.f32 (*.f32 6 PI.f32) s) r) |
| 0.3b | (*.f32 (*.f32 (*.f32 2 PI.f32) s) r) |
| 0.3b | (*.f32 (*.f32 2 PI.f32) s) |
| 1× | rewrite-expression-head |
| 32× | add-cbrt-cube_binary32 |
| 32× | add-exp-log_binary32 |
| 27× | pow1_binary32 |
| 16× | cbrt-unprod_binary32 |
| 16× | prod-exp_binary32 |
4 calls:
| 11.0ms | (*.f32 (*.f32 (*.f32 2 PI.f32) s) r) |
| 11.0ms | (*.f32 (*.f32 (*.f32 6 PI.f32) s) r) |
| 9.0ms | (/.f32 (neg.f32 r) (*.f32 3 s)) |
| 8.0ms | (*.f32 (*.f32 2 PI.f32) s) |
Compiled 3367 to 1941 computations (42.4% saved)
4 calls:
| 64.0ms | (*.f32 (*.f32 (*.f32 6 PI.f32) s) r) |
| 62.0ms | (*.f32 (*.f32 (*.f32 2 PI.f32) s) r) |
| 60.0ms | (/.f32 (neg.f32 r) (*.f32 3 s)) |
| 30.0ms | (*.f32 (*.f32 2 PI.f32) s) |
Compiled 1591 to 1130 computations (29% saved)
| 1× | egg-herbie |
| 802× | associate-/l*_binary32 |
| 420× | associate-*l*_binary32 |
| 342× | distribute-rgt-neg-out_binary32 |
| 309× | associate-*r*_binary32 |
| 223× | distribute-lft-neg-out_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 197 | 2412 |
| 1 | 490 | 1951 |
| 2 | 2164 | 1798 |
| 3 | 5149 | 1798 |
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 96 | 5 | 101 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 97 | 6 | 103 |
| Status | Error | Program |
| ▶ | 0.1b | (+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 PI.f32) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (cbrt.f32 (*.f32 -1/27 (pow.f32 (/.f32 r s) 3))))) (*.f32 (*.f32 (*.f32 6 PI.f32) s) r))) |
| 0.1b | (+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 PI.f32) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (*.f32 s (*.f32 PI.f32 6)) (sqrt.f32 r)) (sqrt.f32 r)))) | |
| 0.1b | (+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 PI.f32) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (*.f32 s (*.f32 PI.f32 6)) (*.f32 (cbrt.f32 r) (cbrt.f32 r))) (cbrt.f32 r)))) | |
| 0.2b | (+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 PI.f32) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (exp.f32 (log.f32 (*.f32 r (*.f32 s (*.f32 PI.f32 6))))))) | |
| 0.2b | (*.f32 (/.f32 1/8 (*.f32 s PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (pow.f32 (exp.f32 -1/3) (/.f32 r s)) r))) | |
| 1.3b | (*.f32 (/.f32 (/.f32 1/8 (*.f32 s PI.f32)) r) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (exp.f32 (/.f32 r s)) -1/3))) |
Compiled 2276 to 1354 computations (40.5% saved)
Found 4 expressions with local error:
| 0.3b | (*.f32 (*.f32 (*.f32 2 PI.f32) s) r) |
| 0.3b | (*.f32 (*.f32 2 PI.f32) s) |
| 0.5b | (*.f32 -1/27 (pow.f32 (/.f32 r s) 3)) |
| 16.4b | (cbrt.f32 (*.f32 -1/27 (pow.f32 (/.f32 r s) 3))) |
| 1× | rewrite-expression-head |
| 38× | associate-*r*_binary32 |
| 35× | add-sqr-sqrt_binary32 |
| 26× | add-exp-log_binary32 |
| 22× | *-un-lft-identity_binary32 |
| 22× | add-cube-cbrt_binary32 |
4 calls:
| 23.0ms | (*.f32 -1/27 (pow.f32 (/.f32 r s) 3)) |
| 15.0ms | (cbrt.f32 (*.f32 -1/27 (pow.f32 (/.f32 r s) 3))) |
| 13.0ms | (*.f32 (*.f32 (*.f32 2 PI.f32) s) r) |
| 8.0ms | (*.f32 (*.f32 2 PI.f32) s) |
Compiled 3420 to 2080 computations (39.2% saved)
4 calls:
| 100.0ms | (cbrt.f32 (*.f32 -1/27 (pow.f32 (/.f32 r s) 3))) |
| 89.0ms | (*.f32 -1/27 (pow.f32 (/.f32 r s) 3)) |
| 69.0ms | (*.f32 (*.f32 (*.f32 2 PI.f32) s) r) |
| 32.0ms | (*.f32 (*.f32 2 PI.f32) s) |
Compiled 1739 to 1299 computations (25.3% saved)
| 1× | egg-herbie |
| 829× | times-frac_binary32 |
| 681× | associate-/l*_binary32 |
| 331× | associate-*l*_binary32 |
| 267× | associate-*r*_binary32 |
| 140× | associate-/l/_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 205 | 2585 |
| 1 | 485 | 2322 |
| 2 | 2123 | 2056 |
| 3 | 5104 | 2056 |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 89 | 1 | 90 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 90 | 6 | 96 |
| Status | Error | Program |
| ✓ | 0.1b | (+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 PI.f32) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (cbrt.f32 (*.f32 -1/27 (pow.f32 (/.f32 r s) 3))))) (*.f32 (*.f32 (*.f32 6 PI.f32) s) r))) |
| 0.1b | (+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 PI.f32) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (*.f32 s (*.f32 PI.f32 6)) (sqrt.f32 r)) (sqrt.f32 r)))) | |
| 0.1b | (+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 PI.f32) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (*.f32 s (*.f32 PI.f32 6)) (*.f32 (cbrt.f32 r) (cbrt.f32 r))) (cbrt.f32 r)))) | |
| 0.2b | (+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 PI.f32) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (exp.f32 (log.f32 (*.f32 r (*.f32 s (*.f32 PI.f32 6))))))) | |
| 1.3b | (*.f32 (/.f32 (/.f32 1/8 (*.f32 s PI.f32)) r) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (exp.f32 (/.f32 r s)) -1/3))) | |
| ▶ | 0.1b | (*.f32 (/.f32 1/8 (*.f32 s PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (cbrt.f32 (*.f32 -1/27 (pow.f32 (/.f32 r s) 3)))) r))) |
Compiled 1929 to 1200 computations (37.8% saved)
Found 4 expressions with local error:
| 0.3b | (pow.f32 (/.f32 r s) 3) |
| 0.3b | (*.f32 s PI.f32) |
| 0.5b | (*.f32 -1/27 (pow.f32 (/.f32 r s) 3)) |
| 16.4b | (cbrt.f32 (*.f32 -1/27 (pow.f32 (/.f32 r s) 3))) |
| 1× | rewrite-expression-head |
| 52× | add-sqr-sqrt_binary32 |
| 38× | times-frac_binary32 |
| 37× | *-un-lft-identity_binary32 |
| 37× | add-cube-cbrt_binary32 |
| 35× | associate-*r*_binary32 |
4 calls:
| 21.0ms | (*.f32 -1/27 (pow.f32 (/.f32 r s) 3)) |
| 12.0ms | (cbrt.f32 (*.f32 -1/27 (pow.f32 (/.f32 r s) 3))) |
| 9.0ms | (*.f32 s PI.f32) |
| 8.0ms | (pow.f32 (/.f32 r s) 3) |
Compiled 3012 to 1434 computations (52.4% saved)
4 calls:
| 85.0ms | (cbrt.f32 (*.f32 -1/27 (pow.f32 (/.f32 r s) 3))) |
| 76.0ms | (*.f32 -1/27 (pow.f32 (/.f32 r s) 3)) |
| 65.0ms | (pow.f32 (/.f32 r s) 3) |
| 25.0ms | (*.f32 s PI.f32) |
Compiled 1268 to 928 computations (26.8% saved)
| 1× | egg-herbie |
| 732× | associate-/l*_binary32 |
| 655× | associate-/r*_binary32 |
| 346× | unswap-sqr_binary32 |
| 221× | associate-/l/_binary32 |
| 151× | associate-*l*_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 188 | 2484 |
| 1 | 447 | 2283 |
| 2 | 1686 | 2243 |
| 3 | 5102 | 2243 |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 101 | 1 | 102 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 102 | 6 | 108 |
| Status | Error | Program |
| 0.2b | (*.f32 (/.f32 1/8 (*.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 PI.f32 (cbrt.f32 s)))) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (cbrt.f32 (*.f32 -1/27 (pow.f32 (/.f32 r s) 3)))) r))) | |
| ✓ | 0.1b | (*.f32 (/.f32 1/8 (*.f32 s PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (cbrt.f32 (*.f32 -1/27 (pow.f32 (/.f32 r s) 3)))) r))) |
| ▶ | 0.1b | (+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 PI.f32) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (*.f32 s (*.f32 PI.f32 6)) (sqrt.f32 r)) (sqrt.f32 r)))) |
| 0.1b | (+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 PI.f32) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (*.f32 s (*.f32 PI.f32 6)) (*.f32 (cbrt.f32 r) (cbrt.f32 r))) (cbrt.f32 r)))) | |
| 0.2b | (+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 PI.f32) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (exp.f32 (log.f32 (*.f32 r (*.f32 s (*.f32 PI.f32 6))))))) | |
| 1.3b | (*.f32 (/.f32 (/.f32 1/8 (*.f32 s PI.f32)) r) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (exp.f32 (/.f32 r s)) -1/3))) |
Compiled 1570 to 812 computations (48.3% saved)
Found 4 expressions with local error:
| 0.3b | (*.f32 (*.f32 (*.f32 2 PI.f32) s) r) |
| 0.3b | (*.f32 (*.f32 s (*.f32 PI.f32 6)) (sqrt.f32 r)) |
| 0.3b | (*.f32 (*.f32 (*.f32 s (*.f32 PI.f32 6)) (sqrt.f32 r)) (sqrt.f32 r)) |
| 0.3b | (*.f32 (*.f32 2 PI.f32) s) |
| 1× | rewrite-expression-head |
| 41× | add-cbrt-cube_binary32 |
| 41× | add-exp-log_binary32 |
| 41× | pow1_binary32 |
| 25× | cbrt-unprod_binary32 |
| 25× | prod-exp_binary32 |
4 calls:
| 17.0ms | (*.f32 (*.f32 (*.f32 s (*.f32 PI.f32 6)) (sqrt.f32 r)) (sqrt.f32 r)) |
| 14.0ms | (*.f32 (*.f32 s (*.f32 PI.f32 6)) (sqrt.f32 r)) |
| 10.0ms | (*.f32 (*.f32 (*.f32 2 PI.f32) s) r) |
| 9.0ms | (*.f32 (*.f32 2 PI.f32) s) |
Compiled 3408 to 1838 computations (46.1% saved)
4 calls:
| 96.0ms | (*.f32 (*.f32 2 PI.f32) s) |
| 67.0ms | (*.f32 (*.f32 s (*.f32 PI.f32 6)) (sqrt.f32 r)) |
| 65.0ms | (*.f32 (*.f32 (*.f32 s (*.f32 PI.f32 6)) (sqrt.f32 r)) (sqrt.f32 r)) |
| 64.0ms | (*.f32 (*.f32 (*.f32 2 PI.f32) s) r) |
Compiled 1788 to 1241 computations (30.6% saved)
| 1× | egg-herbie |
| 595× | times-frac_binary32 |
| 570× | associate-*l*_binary32 |
| 486× | associate-/l*_binary32 |
| 400× | associate-*r*_binary32 |
| 215× | exp-prod_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 183 | 2523 |
| 1 | 510 | 2077 |
| 2 | 2232 | 2068 |
| 3 | 4461 | 2068 |
| 4 | 4949 | 2068 |
| 5 | 4943 | 2068 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 82 | 1 | 83 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 84 | 5 | 89 |
| Status | Error | Program |
| 0.2b | (*.f32 (/.f32 1/8 (*.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 PI.f32 (cbrt.f32 s)))) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (cbrt.f32 (*.f32 -1/27 (pow.f32 (/.f32 r s) 3)))) r))) | |
| ✓ | 0.1b | (*.f32 (/.f32 1/8 (*.f32 s PI.f32)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (cbrt.f32 (*.f32 -1/27 (pow.f32 (/.f32 r s) 3)))) r))) |
| 0.2b | (+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 PI.f32) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (exp.f32 (log.f32 (*.f32 r (*.f32 s (*.f32 PI.f32 6))))))) | |
| 1.3b | (*.f32 (/.f32 (/.f32 1/8 (*.f32 s PI.f32)) r) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (exp.f32 (/.f32 r s)) -1/3))) | |
| 0.1b | (+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 PI.f32) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (*.f32 (*.f32 s (*.f32 PI.f32 6)) (fabs.f32 (cbrt.f32 r))) (sqrt.f32 (cbrt.f32 r))) (sqrt.f32 r)))) |
Compiled 1334 to 766 computations (42.6% saved)
Total 0.0b remaining (30.8%)
Threshold costs 0.0b (30.8%)
Compiled 16783 to 11965 computations (28.7% saved)
| 1× | egg-herbie |
| 84× | distribute-rgt-neg-in_binary32 |
| 54× | distribute-lft-neg-in_binary32 |
| 52× | distribute-lft-neg-out_binary32 |
| 46× | cancel-sign-sub-inv_binary32 |
| 42× | neg-sub0_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 67 |
| 1 | 60 | 67 |
| 2 | 80 | 67 |
| 3 | 102 | 67 |
| 4 | 132 | 67 |
| 5 | 158 | 67 |
| 6 | 197 | 67 |
| 7 | 247 | 67 |
| 8 | 281 | 67 |
| 9 | 310 | 67 |
| 10 | 335 | 67 |
| 11 | 351 | 67 |
| 12 | 369 | 67 |
| 13 | 378 | 67 |
| 14 | 380 | 67 |
| 15 | 368 | 67 |
Compiled 44 to 30 computations (31.8% saved)
| 1× | intervals |
| 2.1s | 8000× | body | 128 | valid |
| 388.0ms | 8000× | pre | 128 | true |
Compiled 254 to 181 computations (28.7% saved)
Loading profile data...