Time bar (total: 10.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 1.6% | 98.4% | 0 |
| 0% | 1.6% | 98.4% | 1 |
| 0% | 1.6% | 98.4% | 2 |
| 0.4% | 1.2% | 98.4% | 3 |
| 0.6% | 1% | 98.4% | 4 |
| 0.9% | 0.7% | 98.4% | 5 |
| 1% | 0.5% | 98.4% | 6 |
| 1.2% | 0.4% | 98.4% | 7 |
| 1.3% | 0.3% | 98.4% | 8 |
| 1.4% | 0.2% | 98.4% | 9 |
| 1.4% | 0.1% | 98.4% | 10 |
| 1.5% | 0.1% | 98.4% | 11 |
| 1.5% | 0.1% | 98.4% | 12 |
| 1.5% | 0% | 98.4% | 13 |
| 1.5% | 0% | 98.4% | 14 |
Compiled 48 to 37 computations (22.9% saved)
| 1× | intervals |
| 29.0ms | 256× | body | 128 | valid |
| 6.0ms | 256× | pre | 128 | true |
Compiled 89 to 69 computations (22.5% saved)
| 1× | egg-herbie |
| 524× | exp-prod_binary32 |
| 518× | unswap-sqr_binary32 |
| 420× | times-frac_binary32 |
| 354× | associate-*l*_binary32 |
| 311× | div-sub_binary32 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 61 |
| 1 | 41 | 61 |
| 2 | 70 | 61 |
| 3 | 115 | 51 |
| 4 | 157 | 51 |
| 5 | 266 | 46 |
| 6 | 399 | 46 |
| 7 | 621 | 46 |
| 8 | 980 | 46 |
| 9 | 2223 | 46 |
| 10 | 3765 | 46 |
| 11 | 4506 | 46 |
| 12 | 4950 | 46 |
| 13 | 4764 | 46 |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 1 | 2 |
| Status | Error | Program |
| ▶ | 0.3b | (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))) -1))) |
Compiled 90 to 72 computations (20% saved)
Found 4 expressions with local error:
| 0.1b | (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))) -1) |
| 0.3b | (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))) -1))) |
| 0.3b | (/.f32 (neg.f32 PI.f32) s) |
| 0.3b | (/.f32 PI.f32 s) |
| 1× | rewrite-expression-head |
| 55× | add-sqr-sqrt_binary32 |
| 53× | *-un-lft-identity_binary32 |
| 45× | times-frac_binary32 |
| 41× | add-cube-cbrt_binary32 |
| 16× | log-prod_binary32 |
4 calls:
| 68.0ms | (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))) -1))) |
| 56.0ms | (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))) -1) |
| 5.0ms | (/.f32 (neg.f32 PI.f32) s) |
| 3.0ms | (/.f32 PI.f32 s) |
Compiled 5176 to 2866 computations (44.6% saved)
4 calls:
| 702.0ms | (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))) -1))) |
| 342.0ms | (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))) -1) |
| 17.0ms | (/.f32 (neg.f32 PI.f32) s) |
| 15.0ms | (/.f32 PI.f32 s) |
Compiled 9447 to 5959 computations (36.9% saved)
| 1× | egg-herbie |
| 361× | associate-/l*_binary32 |
| 332× | times-frac_binary32 |
| 258× | associate-*r*_binary32 |
| 246× | associate-/r*_binary32 |
| 185× | associate-*l*_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 567 | 9009 |
| 1 | 1511 | 8228 |
| 2 | 4920 | 8117 |
| 3 | 4887 | 8117 |
| 4 | 5196 | 8117 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 105 | 9 | 114 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 106 | 9 | 115 |
| Status | Error | Program |
| 0.3b | (+.f32 (*.f32 (neg.f32 s) (log.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))))) (*.f32 (neg.f32 s) (log.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))))))) | |
| ▶ | 0.3b | (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (*.f32 (*.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32)) (/.f32 (cbrt.f32 PI.f32) s))))))) -1))) |
| 0.5b | (+.f32 (*.f32 (neg.f32 s) (*.f32 2 (log.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))))))) (*.f32 (neg.f32 s) (log.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))))))) | |
| 0.8b | (*.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))) (neg.f32 (cbrt.f32 s)))) | |
| 0.8b | (*.f32 (*.f32 (cbrt.f32 (*.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))) (neg.f32 s))) (cbrt.f32 (*.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))) (neg.f32 s)))) (cbrt.f32 (*.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))) (neg.f32 s)))) | |
| 0.8b | (*.f32 (*.f32 (neg.f32 s) (*.f32 (cbrt.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))))) (cbrt.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))))))) (cbrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))) -1)))) | |
| 25.9b | (*.f32 (neg.f32 s) (log.f32 (log.f32 (exp.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))))))) | |
| 0.4b | (+.f32 (*.f32 (neg.f32 s) (log.f32 (+.f32 1 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))))) (*.f32 (neg.f32 s) (log.f32 (+.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))) -1)))) | |
| 1.8b | (*.f32 (*.f32 (neg.f32 s) (sqrt.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))))) (sqrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))) -1)))) |
Compiled 5589 to 3078 computations (44.9% saved)
Found 4 expressions with local error:
| 0.2b | (/.f32 (cbrt.f32 PI.f32) s) |
| 0.3b | (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (*.f32 (*.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32)) (/.f32 (cbrt.f32 PI.f32) s))))))) -1))) |
| 0.3b | (/.f32 (neg.f32 PI.f32) s) |
| 0.5b | (*.f32 (*.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32)) (/.f32 (cbrt.f32 PI.f32) s)) |
| 1× | rewrite-expression-head |
| 76× | add-sqr-sqrt_binary32 |
| 72× | times-frac_binary32 |
| 69× | *-un-lft-identity_binary32 |
| 61× | add-cube-cbrt_binary32 |
| 26× | associate-*r*_binary32 |
4 calls:
| 67.0ms | (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (*.f32 (*.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32)) (/.f32 (cbrt.f32 PI.f32) s))))))) -1))) |
| 15.0ms | (*.f32 (*.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32)) (/.f32 (cbrt.f32 PI.f32) s)) |
| 5.0ms | (/.f32 (neg.f32 PI.f32) s) |
| 5.0ms | (/.f32 (cbrt.f32 PI.f32) s) |
Compiled 7780 to 3532 computations (54.6% saved)
4 calls:
| 702.0ms | (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (*.f32 (*.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32)) (/.f32 (cbrt.f32 PI.f32) s))))))) -1))) |
| 31.0ms | (/.f32 (cbrt.f32 PI.f32) s) |
| 19.0ms | (/.f32 (neg.f32 PI.f32) s) |
| 16.0ms | (*.f32 (*.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32)) (/.f32 (cbrt.f32 PI.f32) s)) |
Compiled 5314 to 3373 computations (36.5% saved)
| 1× | egg-herbie |
| 339× | associate-*l*_binary32 |
| 315× | associate-*r*_binary32 |
| 313× | associate-/l*_binary32 |
| 246× | times-frac_binary32 |
| 197× | associate-+r+_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 454 | 6846 |
| 1 | 1154 | 6123 |
| 2 | 4748 | 6044 |
| 3 | 4895 | 6044 |
| 4 | 4991 | 6044 |
| 5 | 4943 | 6044 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 137 | 0 | 137 |
| Fresh | 0 | 8 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 137 | 9 | 146 |
| Status | Error | Program |
| ▶ | 0.3b | (+.f32 (*.f32 (neg.f32 s) (log.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))))) (*.f32 (neg.f32 s) (log.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))))))) |
| ✓ | 0.3b | (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (*.f32 (*.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32)) (/.f32 (cbrt.f32 PI.f32) s))))))) -1))) |
| 0.5b | (+.f32 (*.f32 (neg.f32 s) (*.f32 2 (log.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))))))) (*.f32 (neg.f32 s) (log.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))))))) | |
| 0.8b | (*.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))) (neg.f32 (cbrt.f32 s)))) | |
| 0.8b | (*.f32 (*.f32 (cbrt.f32 (*.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))) (neg.f32 s))) (cbrt.f32 (*.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))) (neg.f32 s)))) (cbrt.f32 (*.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))) (neg.f32 s)))) | |
| 0.8b | (*.f32 (*.f32 (neg.f32 s) (*.f32 (cbrt.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))))) (cbrt.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))))))) (cbrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))) -1)))) | |
| 25.9b | (*.f32 (neg.f32 s) (log.f32 (log.f32 (exp.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))))))) | |
| 0.4b | (+.f32 (*.f32 (neg.f32 s) (log.f32 (+.f32 1 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))))) (*.f32 (neg.f32 s) (log.f32 (+.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))) -1)))) | |
| 1.8b | (*.f32 (*.f32 (neg.f32 s) (sqrt.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))))) (sqrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))) -1)))) |
Compiled 5275 to 2840 computations (46.2% saved)
Found 4 expressions with local error:
| 0.3b | (/.f32 PI.f32 s) |
| 0.3b | (/.f32 PI.f32 s) |
| 0.3b | (/.f32 PI.f32 s) |
| 0.3b | (/.f32 PI.f32 s) |
| 1× | rewrite-expression-head |
| 36× | add-cube-cbrt_binary32 add-sqr-sqrt_binary32 times-frac_binary32 *-un-lft-identity_binary32 |
| 12× | add-exp-log_binary32 add-cbrt-cube_binary32 associate-/l*_binary32 associate-/r*_binary32 |
| 4× | pow1_binary32 div-exp_binary32 add-log-exp_binary32 cbrt-undiv_binary32 frac-2neg_binary32 clear-num_binary32 div-inv_binary32 |
4 calls:
| 3.0ms | (/.f32 PI.f32 s) |
| 3.0ms | (/.f32 PI.f32 s) |
| 3.0ms | (/.f32 PI.f32 s) |
| 3.0ms | (/.f32 PI.f32 s) |
Compiled 6754 to 3712 computations (45% saved)
4 calls:
| 24.0ms | (/.f32 PI.f32 s) |
| 24.0ms | (/.f32 PI.f32 s) |
| 23.0ms | (/.f32 PI.f32 s) |
| 22.0ms | (/.f32 PI.f32 s) |
Compiled 1525 to 1025 computations (32.8% saved)
| 1× | egg-herbie |
| 1288× | associate-/l/_binary32 |
| 677× | unswap-sqr_binary32 |
| 574× | associate-/r/_binary32 |
| 397× | div-sub_binary32 |
| 350× | times-frac_binary32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 1304 |
| 1 | 87 | 1216 |
| 2 | 172 | 1216 |
| 3 | 288 | 1216 |
| 4 | 443 | 1216 |
| 5 | 659 | 1216 |
| 6 | 1658 | 1216 |
| 7 | 1997 | 1216 |
| 8 | 2324 | 1216 |
| 9 | 3234 | 1216 |
| 10 | 3309 | 1216 |
| 11 | 3323 | 1216 |
| 12 | 4308 | 1216 |
| 13 | 4810 | 1216 |
| 14 | 4780 | 1216 |
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 28 | 0 | 28 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 28 | 9 | 37 |
| Status | Error | Program |
| ✓ | 0.3b | (+.f32 (*.f32 (neg.f32 s) (log.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))))) (*.f32 (neg.f32 s) (log.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))))))) |
| ✓ | 0.3b | (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (*.f32 (*.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32)) (/.f32 (cbrt.f32 PI.f32) s))))))) -1))) |
| 0.5b | (+.f32 (*.f32 (neg.f32 s) (*.f32 2 (log.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))))))) (*.f32 (neg.f32 s) (log.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))))))) | |
| 0.8b | (*.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))) (neg.f32 (cbrt.f32 s)))) | |
| 0.8b | (*.f32 (*.f32 (cbrt.f32 (*.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))) (neg.f32 s))) (cbrt.f32 (*.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))) (neg.f32 s)))) (cbrt.f32 (*.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))) (neg.f32 s)))) | |
| 0.8b | (*.f32 (*.f32 (neg.f32 s) (*.f32 (cbrt.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))))) (cbrt.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))))))) (cbrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))) -1)))) | |
| 25.9b | (*.f32 (neg.f32 s) (log.f32 (log.f32 (exp.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))))))) | |
| ▶ | 0.4b | (+.f32 (*.f32 (neg.f32 s) (log.f32 (+.f32 1 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))))) (*.f32 (neg.f32 s) (log.f32 (+.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))) -1)))) |
| 1.8b | (*.f32 (*.f32 (neg.f32 s) (sqrt.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))))) (sqrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))) -1)))) |
Compiled 2265 to 1409 computations (37.8% saved)
Found 4 expressions with local error:
| 0.3b | (/.f32 PI.f32 s) |
| 0.3b | (/.f32 PI.f32 s) |
| 0.3b | (/.f32 PI.f32 s) |
| 0.3b | (/.f32 PI.f32 s) |
| 1× | rewrite-expression-head |
| 36× | add-cube-cbrt_binary32 add-sqr-sqrt_binary32 times-frac_binary32 *-un-lft-identity_binary32 |
| 12× | add-exp-log_binary32 add-cbrt-cube_binary32 associate-/l*_binary32 associate-/r*_binary32 |
| 4× | pow1_binary32 div-exp_binary32 add-log-exp_binary32 cbrt-undiv_binary32 frac-2neg_binary32 clear-num_binary32 div-inv_binary32 |
4 calls:
| 3.0ms | (/.f32 PI.f32 s) |
| 3.0ms | (/.f32 PI.f32 s) |
| 3.0ms | (/.f32 PI.f32 s) |
| 3.0ms | (/.f32 PI.f32 s) |
Compiled 6754 to 3712 computations (45% saved)
4 calls:
| 24.0ms | (/.f32 PI.f32 s) |
| 23.0ms | (/.f32 PI.f32 s) |
| 23.0ms | (/.f32 PI.f32 s) |
| 22.0ms | (/.f32 PI.f32 s) |
Compiled 1525 to 1025 computations (32.8% saved)
| 1× | egg-herbie |
| 1288× | associate-/l/_binary32 |
| 677× | unswap-sqr_binary32 |
| 574× | associate-/r/_binary32 |
| 397× | div-sub_binary32 |
| 350× | times-frac_binary32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 1304 |
| 1 | 87 | 1216 |
| 2 | 172 | 1216 |
| 3 | 288 | 1216 |
| 4 | 443 | 1216 |
| 5 | 659 | 1216 |
| 6 | 1658 | 1216 |
| 7 | 1997 | 1216 |
| 8 | 2324 | 1216 |
| 9 | 3234 | 1216 |
| 10 | 3309 | 1216 |
| 11 | 3323 | 1216 |
| 12 | 4308 | 1216 |
| 13 | 4810 | 1216 |
| 14 | 4780 | 1216 |
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 28 | 0 | 28 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 28 | 9 | 37 |
| Status | Error | Program |
| 0.3b | (+.f32 (*.f32 (neg.f32 s) (log.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))))) (*.f32 (neg.f32 s) (log.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))))))) | |
| 0.3b | (*.f32 (neg.f32 s) (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (*.f32 (*.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32)) (/.f32 (cbrt.f32 PI.f32) s))))))) -1))) | |
| 0.5b | (+.f32 (*.f32 (neg.f32 s) (*.f32 2 (log.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))))))) (*.f32 (neg.f32 s) (log.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))))))) | |
| 0.8b | (*.f32 (*.f32 (cbrt.f32 s) (cbrt.f32 s)) (*.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))) (neg.f32 (cbrt.f32 s)))) | |
| 0.8b | (*.f32 (*.f32 (cbrt.f32 (*.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))) (neg.f32 s))) (cbrt.f32 (*.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))) (neg.f32 s)))) (cbrt.f32 (*.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))) (neg.f32 s)))) | |
| 0.8b | (*.f32 (*.f32 (neg.f32 s) (*.f32 (cbrt.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))))) (cbrt.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))))))) (cbrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))) -1)))) | |
| 25.9b | (*.f32 (neg.f32 s) (log.f32 (log.f32 (exp.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))))))) | |
| 0.4b | (+.f32 (*.f32 (neg.f32 s) (log.f32 (+.f32 1 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))))) (*.f32 (neg.f32 s) (log.f32 (+.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s))))))) -1)))) | |
| 1.8b | (*.f32 (*.f32 (neg.f32 s) (sqrt.f32 (log.f32 (+.f32 -1 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (neg.f32 (/.f32 PI.f32 s))))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))))))) (sqrt.f32 (log.f32 (+.f32 (/.f32 1 (+.f32 (/.f32 u (+.f32 1 (exp.f32 (/.f32 (neg.f32 PI.f32) s)))) (/.f32 (-.f32 1 u) (+.f32 1 (exp.f32 (/.f32 PI.f32 s)))))) -1)))) |
Compiled 1838 to 1114 computations (39.4% saved)
Total 0.3b remaining (83.8%)
Threshold costs 0.3b (83.8%)
Compiled 15171 to 10847 computations (28.5% saved)
| 1× | egg-herbie |
| 11× | +-commutative_binary32 |
| 10× | *-commutative_binary32 |
| 7× | sub-neg_binary32 |
| 6× | neg-mul-1_binary32 neg-sub0_binary32 |
| 1× | 1-exp_binary32 cancel-sign-sub-inv_binary32 distribute-frac-neg_binary32 distribute-rgt-neg-out_binary32 distribute-lft-neg-out_binary32 distribute-rgt-neg-in_binary32 distribute-lft-neg-in_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 76 |
| 1 | 47 | 76 |
| 2 | 61 | 76 |
| 3 | 72 | 76 |
| 4 | 77 | 76 |
| 5 | 78 | 76 |
| 6 | 77 | 76 |
Compiled 46 to 30 computations (34.8% saved)
| 1× | intervals |
| 967.0ms | 8000× | body | 128 | valid |
| 188.0ms | 8000× | pre | 128 | true |
Compiled 621 to 432 computations (30.4% saved)
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