Time bar (total: 9.3s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 24.7% | 75.3% | 0 |
| 0% | 24.7% | 75.3% | 1 |
| 0% | 24.7% | 75.3% | 2 |
| 0% | 24.7% | 75.3% | 3 |
| 0% | 24.7% | 75.3% | 4 |
| 6.2% | 18.5% | 75.3% | 5 |
| 7.7% | 17% | 75.3% | 6 |
| 11.6% | 13.1% | 75.3% | 7 |
| 12.7% | 12% | 75.3% | 8 |
| 14.9% | 9.8% | 75.3% | 9 |
| 15.5% | 9.2% | 75.3% | 10 |
| 16.3% | 8.4% | 75.3% | 11 |
| 16.7% | 8.1% | 75.3% | 12 |
| 17% | 7.7% | 75.3% | 13 |
| 17.2% | 7.5% | 75.3% | 14 |
Compiled 35 to 18 computations (48.6% saved)
| 1.7s | 8256× | body | 128 | valid |
Compiled 63 to 31 computations (50.8% saved)
| 1× | egg-herbie |
| 505× | fma-def_binary32 |
| 440× | times-frac_binary32 |
| 349× | distribute-rgt-in_binary32 |
| 300× | fma-neg_binary32 |
| 273× | distribute-rgt-out_binary32 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 43 |
| 1 | 38 | 43 |
| 2 | 82 | 41 |
| 3 | 181 | 41 |
| 4 | 357 | 39 |
| 5 | 772 | 30 |
| 6 | 2292 | 29 |
| 7 | 3341 | 29 |
| 8 | 4243 | 29 |
| 9 | 4922 | 29 |
| 10 | 4875 | 29 |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
| ▶ | 0.1b | (/.f32 (/.f32 1 s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2))) |
| 0.1b | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 1 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
Compiled 142 to 75 computations (47.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2) |
| ✓ | 0.0b | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
| ✓ | 0.0b | (exp.f32 (/.f32 (fabs.f32 x) s)) |
| ✓ | 0.0b | (/.f32 (/.f32 1 s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2))) |
4 calls:
| 71.0ms | (/.f32 (/.f32 1 s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2))) |
| 13.0ms | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
| 12.0ms | (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2) |
| 10.0ms | (exp.f32 (/.f32 (fabs.f32 x) s)) |
| 1× | rewrite-expression-head |
| 194× | times-frac_binary32 |
| 181× | *-un-lft-identity_binary32 |
| 118× | add-sqr-sqrt_binary32 |
| 109× | add-cube-cbrt_binary32 |
| 83× | exp-prod_binary32 |
4 calls:
| 20.0ms | (/.f32 (/.f32 1 s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2))) |
| 10.0ms | (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2) |
| 8.0ms | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
| 4.0ms | (exp.f32 (/.f32 (fabs.f32 x) s)) |
| 1× | egg-herbie |
| 512× | times-frac_binary32 |
| 341× | associate-/l*_binary32 |
| 335× | associate-/r*_binary32 |
| 292× | distribute-rgt-in_binary32 |
| 268× | distribute-lft-in_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 311 | 7856 |
| 1 | 653 | 7564 |
| 2 | 1636 | 7474 |
| 3 | 4591 | 7474 |
| 4 | 4965 | 7474 |
| 5 | 4914 | 7474 |
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 300 | 5 | 305 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 302 | 5 | 307 |
| Status | Error | Program |
| 0.1b | (*.f32 (/.f32 1 s) (/.f32 1 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))) | |
| 0.1b | (/.f32 1 (fma.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))) | |
| ▶ | 0.1b | (/.f32 (/.f32 1 s) (+.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fabs.f32 x) s))) (sqrt.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2))) |
| 0.2b | (/.f32 (/.f32 1 (sqrt.f32 s)) (*.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (sqrt.f32 s))) | |
| 21.4b | (*.f32 (/.f32 (/.f32 1 s) (fma.f32 (+.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 -2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (pow.f32 (exp.f32 2) (/.f32 (fabs.f32 x) s)))) (-.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2))) |
Compiled 9223 to 3643 computations (60.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fabs.f32 x) s))) (sqrt.f32 (/.f32 (fabs.f32 x) s))) |
| ✓ | 0.0b | (/.f32 (/.f32 1 s) (+.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fabs.f32 x) s))) (sqrt.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2))) |
| ✓ | 0.0b | (exp.f32 (sqrt.f32 (/.f32 (fabs.f32 x) s))) |
| ✓ | 6.7b | (sqrt.f32 (/.f32 (fabs.f32 x) s)) |
4 calls:
| 540.0ms | (/.f32 (/.f32 1 s) (+.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fabs.f32 x) s))) (sqrt.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2))) |
| 427.0ms | (pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fabs.f32 x) s))) (sqrt.f32 (/.f32 (fabs.f32 x) s))) |
| 29.0ms | (exp.f32 (sqrt.f32 (/.f32 (fabs.f32 x) s))) |
| 17.0ms | (sqrt.f32 (/.f32 (fabs.f32 x) s)) |
| 1× | rewrite-expression-head |
| 206× | times-frac_binary32 |
| 190× | *-un-lft-identity_binary32 |
| 139× | add-sqr-sqrt_binary32 |
| 120× | add-cube-cbrt_binary32 |
| 100× | sqrt-prod_binary32 |
4 calls:
| 21.0ms | (/.f32 (/.f32 1 s) (+.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fabs.f32 x) s))) (sqrt.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2))) |
| 10.0ms | (pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fabs.f32 x) s))) (sqrt.f32 (/.f32 (fabs.f32 x) s))) |
| 4.0ms | (exp.f32 (sqrt.f32 (/.f32 (fabs.f32 x) s))) |
| 3.0ms | (sqrt.f32 (/.f32 (fabs.f32 x) s)) |
| 1× | egg-herbie |
| 278× | associate-*l*_binary32 |
| 277× | distribute-rgt-in_binary32 |
| 268× | distribute-lft-in_binary32 |
| 266× | unswap-sqr_binary32 |
| 249× | associate-*r*_binary32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 297 | 9574 |
| 1 | 585 | 7580 |
| 2 | 1383 | 7494 |
| 3 | 3671 | 7417 |
| 4 | 4908 | 7417 |
| 5 | 4914 | 7417 |
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 377 | 3 | 380 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 380 | 5 | 385 |
| Status | Error | Program |
| 0.1b | (*.f32 (/.f32 1 (sqrt.f32 (+.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fabs.f32 x) s))) (sqrt.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))) (/.f32 (/.f32 1 s) (sqrt.f32 (+.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fabs.f32 x) s))) (sqrt.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2))))) | |
| ▶ | 0.1b | (/.f32 1 (fma.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))) |
| 0.2b | (/.f32 (/.f32 1 (sqrt.f32 s)) (*.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (sqrt.f32 s))) | |
| 0.1b | (/.f32 (/.f32 (/.f32 1 s) (sqrt.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))) (sqrt.f32 (+.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fabs.f32 x) s))) (sqrt.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))) | |
| 0.1b | (/.f32 (/.f32 (/.f32 1 s) (*.f32 (cbrt.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (cbrt.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))) (cbrt.f32 (+.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fabs.f32 x) s))) (sqrt.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))) |
Compiled 14017 to 4366 computations (68.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f32 1 (fma.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))) |
| 0.0b | (exp.f32 (/.f32 (fabs.f32 x) s)) | |
| ✓ | 0.0b | (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) |
| ✓ | 0.1b | (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) |
3 calls:
| 114.0ms | (/.f32 1 (fma.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))) |
| 28.0ms | (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) |
| 10.0ms | (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) |
| 1× | rewrite-expression-head |
| 22× | *-un-lft-identity_binary32 |
| 20× | add-sqr-sqrt_binary32 |
| 20× | add-cube-cbrt_binary32 |
| 18× | times-frac_binary32 |
| 8× | add-exp-log_binary32 |
3 calls:
| 6.0ms | (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) |
| 6.0ms | (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) |
| 3.0ms | (/.f32 1 (fma.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) 2) s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))) |
| 1× | egg-herbie |
| 449× | cancel-sign-sub-inv_binary32 |
| 367× | fma-neg_binary32 |
| 247× | unswap-sqr_binary32 |
| 246× | associate-/l*_binary32 |
| 242× | times-frac_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 174 | 3160 |
| 1 | 368 | 2863 |
| 2 | 877 | 2846 |
| 3 | 2979 | 2846 |
| 4 | 4925 | 2846 |
| 5 | 4937 | 2846 |
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 230 | 2 | 232 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 233 | 4 | 237 |
| Status | Error | Program |
| ▶ | 0.0b | (/.f32 1 (+.f32 (*.f32 2 s) (+.f32 (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)))) |
| 0.0b | (/.f32 1 (fma.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 s))) (/.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 s))) 2) s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))) | |
| 0.1b | (/.f32 (/.f32 (/.f32 1 s) (sqrt.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))) (sqrt.f32 (+.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fabs.f32 x) s))) (sqrt.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))) | |
| 0.1b | (/.f32 (/.f32 (/.f32 1 s) (*.f32 (cbrt.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (cbrt.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))) (cbrt.f32 (+.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fabs.f32 x) s))) (sqrt.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))) |
Compiled 6460 to 2296 computations (64.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (/.f32 1 (+.f32 (*.f32 2 s) (+.f32 (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)))) |
| 0.0b | (exp.f32 (/.f32 (fabs.f32 x) s)) | |
| ✓ | 0.0b | (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s) |
| 0.1b | (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) |
2 calls:
| 112.0ms | (/.f32 1 (+.f32 (*.f32 2 s) (+.f32 (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)))) |
| 13.0ms | (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s) |
| 1× | rewrite-expression-head |
| 14× | add-sqr-sqrt_binary32 |
| 12× | *-un-lft-identity_binary32 |
| 12× | add-cube-cbrt_binary32 |
| 9× | times-frac_binary32 |
| 7× | add-exp-log_binary32 |
2 calls:
| 13.0ms | (/.f32 1 (+.f32 (*.f32 2 s) (+.f32 (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)))) |
| 8.0ms | (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s) |
| 1× | egg-herbie |
| 460× | fma-neg_binary32 |
| 424× | cancel-sign-sub-inv_binary32 |
| 318× | associate-*l*_binary32 |
| 282× | associate-*r*_binary32 |
| 267× | fma-def_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 2670 |
| 1 | 312 | 2396 |
| 2 | 907 | 2384 |
| 3 | 3179 | 2384 |
| 4 | 4939 | 2384 |
| 5 | 5012 | 2384 |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 237 | 0 | 237 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 237 | 4 | 241 |
| Status | Error | Program |
| ✓ | 0.0b | (/.f32 1 (+.f32 (*.f32 2 s) (+.f32 (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) s)))) |
| 0.0b | (/.f32 1 (fma.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 s))) (/.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 s))) 2) s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))) | |
| 0.1b | (/.f32 (/.f32 (/.f32 1 s) (sqrt.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))) (sqrt.f32 (+.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fabs.f32 x) s))) (sqrt.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))) | |
| 0.1b | (/.f32 (/.f32 (/.f32 1 s) (*.f32 (cbrt.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) (cbrt.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 2 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))) (cbrt.f32 (+.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 (fabs.f32 x) s))) (sqrt.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) 2)))) |
Compiled 7269 to 2492 computations (65.7% saved)
Total 0.0b remaining (15.8%)
Threshold costs 0.0b (15.8%)
Compiled 46430 to 26991 computations (41.9% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary32 |
| 2× | *-commutative_binary32 |
| 1× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 33 |
| 1 | 20 | 33 |
| 2 | 19 | 33 |
Compiled 202 to 110 computations (45.5% saved)
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