Time bar (total: 11.3s)
| 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 |
| 25% | 74.9% | 0.1% | 4 |
| 37.4% | 62.4% | 0.1% | 5 |
| 37.4% | 62.4% | 0.1% | 6 |
| 56.2% | 43.7% | 0.1% | 7 |
| 65.5% | 34.3% | 0.1% | 8 |
| 65.5% | 34.3% | 0.1% | 9 |
| 76.5% | 23.4% | 0.1% | 10 |
| 81.9% | 17.9% | 0.1% | 11 |
| 81.9% | 17.9% | 0.1% | 12 |
| 87.8% | 12.1% | 0.1% | 13 |
| 90.7% | 9.2% | 0.1% | 14 |
Compiled 33 to 25 computations (24.2% saved)
| 2.2s | 8256× | body | 128 | valid |
Compiled 98 to 74 computations (24.5% saved)
| 1× | egg-herbie |
| 721× | fma-neg_binary64 |
| 464× | div-sub_binary64 |
| 380× | associate-*l*_binary64 |
| 365× | associate-*r*_binary64 |
| 276× | neg-mul-1_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 43 |
| 1 | 59 | 43 |
| 2 | 163 | 37 |
| 3 | 607 | 35 |
| 4 | 2744 | 33 |
| 5 | 4748 | 33 |
| 6 | 4938 | 33 |
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 |
| 7.1b | (-.f64 (-.f64 (+.f64 3 (/.f64 2 (*.f64 r r))) (/.f64 (*.f64 (*.f64 1/8 (-.f64 3 (*.f64 2 v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 1 v))) 9/2) | |
| ▶ | 5.5b | (-.f64 (/.f64 2 (*.f64 r r)) (fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) |
Compiled 171 to 121 computations (29.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (*.f64 (*.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) |
| ✓ | 0.3b | (/.f64 2 (*.f64 r r)) |
| ✓ | 1.9b | (fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2) |
| ✓ | 4.7b | (*.f64 r (*.f64 w w)) |
4 calls:
| 224.0ms | (*.f64 (*.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) |
| 112.0ms | (fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2) |
| 16.0ms | (*.f64 r (*.f64 w w)) |
| 5.0ms | (/.f64 2 (*.f64 r r)) |
| 1× | rewrite-expression-head |
| 35× | add-cbrt-cube_binary64 |
| 35× | add-exp-log_binary64 |
| 27× | add-sqr-sqrt_binary64 |
| 26× | *-un-lft-identity_binary64 |
| 25× | associate-*r*_binary64 |
4 calls:
| 17.0ms | (*.f64 (*.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) |
| 5.0ms | (*.f64 r (*.f64 w w)) |
| 5.0ms | (/.f64 2 (*.f64 r r)) |
| 1.0ms | (fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2) |
| 1× | egg-herbie |
| 871× | fma-def_binary64 |
| 703× | times-frac_binary64 |
| 347× | associate-*l*_binary64 |
| 306× | associate-*r*_binary64 |
| 172× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 266 | 5076 |
| 1 | 712 | 4298 |
| 2 | 2670 | 4167 |
| 3 | 4781 | 4167 |
| 4 | 4974 | 4167 |
| 5 | 4962 | 4167 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 188 | 8 | 196 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 190 | 8 | 198 |
| Status | Error | Program |
| 5.5b | (-.f64 (/.f64 2 (*.f64 r r)) (fma.f64 r (*.f64 (*.f64 (*.f64 r (*.f64 w w)) (sqrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) (sqrt.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)))) 3/2)) | |
| ▶ | 2.1b | (-.f64 (/.f64 2 (*.f64 r r)) (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) |
| 5.6b | (-.f64 (/.f64 2 (*.f64 r r)) (*.f64 (sqrt.f64 (fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) (sqrt.f64 (fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)))) | |
| 5.5b | (-.f64 (/.f64 2 (*.f64 r r)) (+.f64 (*.f64 (*.f64 (*.f64 w w) r) (*.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)) r)) 3/2)) | |
| 5.9b | (-.f64 (/.f64 2 (*.f64 r r)) (fma.f64 r (/.f64 (*.f64 w (*.f64 w (*.f64 r (fma.f64 v -1/4 3/8)))) (-.f64 1 v)) 3/2)) | |
| 21.6b | (-.f64 (/.f64 2 (*.f64 r r)) (*.f64 (-.f64 (*.f64 3/8 (/.f64 (pow.f64 w 2) (-.f64 1 v))) (*.f64 1/4 (/.f64 (*.f64 v (pow.f64 w 2)) (-.f64 1 v)))) (pow.f64 r 2))) | |
| 25.8b | (-.f64 (/.f64 2 (*.f64 r r)) 3/2) | |
| 5.5b | (-.f64 (/.f64 (/.f64 2 r) r) (fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) |
Compiled 6626 to 3827 computations (42.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) |
| ✓ | 0.1b | (*.f64 (*.f64 r w) w) |
| 0.3b | (/.f64 2 (*.f64 r r)) | |
| ✓ | 1.9b | (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2) |
3 calls:
| 135.0ms | (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2) |
| 73.0ms | (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) |
| 15.0ms | (*.f64 (*.f64 r w) w) |
| 1× | rewrite-expression-head |
| 29× | add-cbrt-cube_binary64 |
| 29× | add-exp-log_binary64 |
| 27× | associate-*r*_binary64 |
| 23× | *-un-lft-identity_binary64 |
| 23× | add-sqr-sqrt_binary64 |
3 calls:
| 19.0ms | (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) |
| 9.0ms | (*.f64 (*.f64 r w) w) |
| 1.0ms | (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2) |
| 1× | egg-herbie |
| 778× | times-frac_binary64 |
| 486× | associate-*l*_binary64 |
| 374× | associate-*r*_binary64 |
| 186× | fma-neg_binary64 |
| 172× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 227 | 4716 |
| 1 | 660 | 3983 |
| 2 | 2925 | 3947 |
| 3 | 4679 | 3943 |
| 4 | 4970 | 3943 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 191 | 3 | 194 |
| Fresh | 3 | 4 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 194 | 8 | 202 |
| Status | Error | Program |
| ▶ | 2.2b | (-.f64 (/.f64 2 (*.f64 r r)) (fma.f64 r (*.f64 (*.f64 (*.f64 (*.f64 r w) (*.f64 (cbrt.f64 w) (cbrt.f64 w))) (cbrt.f64 w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) |
| 2.2b | (-.f64 (/.f64 2 (*.f64 r r)) (*.f64 (sqrt.f64 (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) (sqrt.f64 (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)))) | |
| 15.9b | (-.f64 (/.f64 2 (*.f64 r r)) (*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))))) | |
| 5.5b | (-.f64 (/.f64 2 (*.f64 r r)) (+.f64 (*.f64 (*.f64 (*.f64 w w) r) (*.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)) r)) 3/2)) | |
| ✓ | 2.1b | (-.f64 (/.f64 2 (*.f64 r r)) (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) |
| 5.9b | (-.f64 (/.f64 2 (*.f64 r r)) (fma.f64 r (/.f64 (*.f64 w (*.f64 w (*.f64 r (fma.f64 v -1/4 3/8)))) (-.f64 1 v)) 3/2)) | |
| 25.8b | (-.f64 (/.f64 2 (*.f64 r r)) 3/2) | |
| 5.5b | (-.f64 (/.f64 (/.f64 2 r) r) (fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) |
Compiled 6535 to 3763 computations (42.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.3b | (/.f64 2 (*.f64 r r)) | |
| ✓ | 0.5b | (*.f64 (cbrt.f64 w) (cbrt.f64 w)) |
| ✓ | 0.6b | (cbrt.f64 w) |
| ✓ | 1.9b | (fma.f64 r (*.f64 (*.f64 (*.f64 (*.f64 r w) (*.f64 (cbrt.f64 w) (cbrt.f64 w))) (cbrt.f64 w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2) |
3 calls:
| 135.0ms | (fma.f64 r (*.f64 (*.f64 (*.f64 (*.f64 r w) (*.f64 (cbrt.f64 w) (cbrt.f64 w))) (cbrt.f64 w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2) |
| 75.0ms | (*.f64 (cbrt.f64 w) (cbrt.f64 w)) |
| 73.0ms | (cbrt.f64 w) |
| 1× | rewrite-expression-head |
| 20× | add-sqr-sqrt_binary64 |
| 19× | cbrt-prod_binary64 |
| 12× | *-un-lft-identity_binary64 |
| 12× | add-cube-cbrt_binary64 |
| 10× | pow1_binary64 |
3 calls:
| 10.0ms | (*.f64 (cbrt.f64 w) (cbrt.f64 w)) |
| 1.0ms | (cbrt.f64 w) |
| 1.0ms | (fma.f64 r (*.f64 (*.f64 (*.f64 (*.f64 r w) (*.f64 (cbrt.f64 w) (cbrt.f64 w))) (cbrt.f64 w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2) |
| 1× | egg-herbie |
| 577× | associate-/l*_binary64 |
| 520× | times-frac_binary64 |
| 418× | fma-def_binary64 |
| 227× | unswap-sqr_binary64 |
| 202× | div-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 2514 |
| 1 | 336 | 2271 |
| 2 | 1275 | 2039 |
| 3 | 4319 | 2024 |
| 4 | 4950 | 2024 |
| 5 | 4973 | 2024 |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 182 | 0 | 182 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 182 | 8 | 190 |
| Status | Error | Program |
| ✓ | 2.2b | (-.f64 (/.f64 2 (*.f64 r r)) (fma.f64 r (*.f64 (*.f64 (*.f64 (*.f64 r w) (*.f64 (cbrt.f64 w) (cbrt.f64 w))) (cbrt.f64 w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) |
| ▶ | 2.2b | (-.f64 (/.f64 2 (*.f64 r r)) (*.f64 (sqrt.f64 (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) (sqrt.f64 (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)))) |
| 15.9b | (-.f64 (/.f64 2 (*.f64 r r)) (*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))))) | |
| 5.5b | (-.f64 (/.f64 2 (*.f64 r r)) (+.f64 (*.f64 (*.f64 (*.f64 w w) r) (*.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)) r)) 3/2)) | |
| ✓ | 2.1b | (-.f64 (/.f64 2 (*.f64 r r)) (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) |
| 5.9b | (-.f64 (/.f64 2 (*.f64 r r)) (fma.f64 r (/.f64 (*.f64 w (*.f64 w (*.f64 r (fma.f64 v -1/4 3/8)))) (-.f64 1 v)) 3/2)) | |
| 25.8b | (-.f64 (/.f64 2 (*.f64 r r)) 3/2) | |
| 5.5b | (-.f64 (/.f64 (/.f64 2 r) r) (fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) |
Compiled 6633 to 3351 computations (49.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.3b | (/.f64 2 (*.f64 r r)) | |
| ✓ | 0.6b | (*.f64 (sqrt.f64 (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) (sqrt.f64 (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))) |
| 1.9b | (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2) | |
| ✓ | 9.4b | (sqrt.f64 (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) |
2 calls:
| 257.0ms | (sqrt.f64 (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) |
| 169.0ms | (*.f64 (sqrt.f64 (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) (sqrt.f64 (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))) |
| 1× | rewrite-expression-head |
| 28× | add-sqr-sqrt_binary64 |
| 21× | sqrt-prod_binary64 |
| 18× | pow1_binary64 |
| 11× | *-un-lft-identity_binary64 |
| 11× | add-cube-cbrt_binary64 |
2 calls:
| 12.0ms | (*.f64 (sqrt.f64 (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) (sqrt.f64 (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2))) |
| 2.0ms | (sqrt.f64 (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) |
| 1× | egg-herbie |
| 604× | cancel-sign-sub-inv_binary64 |
| 299× | associate-*r*_binary64 |
| 280× | fma-neg_binary64 |
| 204× | fma-def_binary64 |
| 202× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 312 | 8197 |
| 1 | 953 | 7400 |
| 2 | 3924 | 7262 |
| 3 | 5537 | 7262 |
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 353 | 0 | 353 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 353 | 8 | 361 |
| Status | Error | Program |
| ✓ | 2.2b | (-.f64 (/.f64 2 (*.f64 r r)) (fma.f64 r (*.f64 (*.f64 (*.f64 (*.f64 r w) (*.f64 (cbrt.f64 w) (cbrt.f64 w))) (cbrt.f64 w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) |
| ✓ | 2.2b | (-.f64 (/.f64 2 (*.f64 r r)) (*.f64 (sqrt.f64 (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) (sqrt.f64 (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)))) |
| 15.9b | (-.f64 (/.f64 2 (*.f64 r r)) (*.f64 (*.f64 w w) (*.f64 (*.f64 r r) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))))) | |
| 5.5b | (-.f64 (/.f64 2 (*.f64 r r)) (+.f64 (*.f64 (*.f64 (*.f64 w w) r) (*.f64 (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v)) r)) 3/2)) | |
| ✓ | 2.1b | (-.f64 (/.f64 2 (*.f64 r r)) (fma.f64 r (*.f64 (*.f64 (*.f64 r w) w) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) |
| 5.9b | (-.f64 (/.f64 2 (*.f64 r r)) (fma.f64 r (/.f64 (*.f64 w (*.f64 w (*.f64 r (fma.f64 v -1/4 3/8)))) (-.f64 1 v)) 3/2)) | |
| 25.8b | (-.f64 (/.f64 2 (*.f64 r r)) 3/2) | |
| 5.5b | (-.f64 (/.f64 (/.f64 2 r) r) (fma.f64 r (*.f64 (*.f64 r (*.f64 w w)) (/.f64 (fma.f64 v -1/4 3/8) (-.f64 1 v))) 3/2)) |
Compiled 23515 to 14559 computations (38.1% saved)
Total 0.3b remaining (23.9%)
Threshold costs 0.3b (23.9%)
Compiled 19110 to 13169 computations (31.1% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 5 | 2.380603161814143e-119 | 5.33648258777566e-119 | 2.4253524215214347e-119 |
| 7 | -2.269071215292617e-98 | -7.526537777856986e-100 | -7.614131752839713e-100 |
Compiled 4 to 3 computations (25% saved)
| 1× | egg-herbie |
| 5× | +-commutative_binary64 |
| 5× | *-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 57 |
| 1 | 42 | 57 |
| 2 | 50 | 57 |
| 3 | 54 | 57 |
| 4 | 56 | 57 |
| 5 | 54 | 57 |
Compiled 303 to 206 computations (32% saved)
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