Time bar (total: 9.3s)
| 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 |
| 0% | 99.9% | 0.1% | 4 |
| 25% | 74.9% | 0.1% | 5 |
| 25% | 68.7% | 6.3% | 6 |
| 25% | 53.1% | 22% | 7 |
| 25% | 46.8% | 28.2% | 8 |
| 25% | 33.6% | 41.5% | 9 |
| 28.1% | 18% | 54% | 10 |
| 31.6% | 12.1% | 56.3% | 11 |
| 33.4% | 5.9% | 60.8% | 12 |
| 35.2% | 3.8% | 61% | 13 |
| 36.1% | 2.9% | 61% | 14 |
Compiled 32 to 20 computations (37.5% saved)
| 1× | intervals |
| 40.0ms | 256× | body | 128 | valid |
Compiled 65 to 41 computations (36.9% saved)
| 1× | egg-herbie |
| 620× | fma-def_binary64 |
| 556× | cancel-sign-sub-inv_binary64 |
| 552× | unswap-sqr_binary64 |
| 357× | unsub-neg_binary64 |
| 344× | +-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 39 |
| 1 | 57 | 37 |
| 2 | 168 | 37 |
| 3 | 492 | 37 |
| 4 | 1604 | 33 |
| 5 | 2891 | 33 |
| 6 | 4309 | 33 |
| 7 | 5214 | 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 |
| ▶ | 0.0b | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 0.2b | (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a))))) 1) |
Compiled 166 to 104 computations (37.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| ✓ | 0.0b | (pow.f64 (hypot.f64 a b) 4) |
| ✓ | 0.0b | (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) |
| ✓ | 0.8b | (*.f64 (*.f64 b b) (+.f64 a 3)) |
| 1× | rewrite-expression-head |
| 13× | *-un-lft-identity_binary64 |
| 10× | add-sqr-sqrt_binary64 |
| 10× | add-exp-log_binary64 |
| 10× | pow1_binary64 |
| 9× | add-cube-cbrt_binary64 |
4 calls:
| 12.0ms | (*.f64 (*.f64 b b) (+.f64 a 3)) |
| 9.0ms | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 3.0ms | (pow.f64 (hypot.f64 a b) 4) |
| 1.0ms | (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) |
4 calls:
| 117.0ms | (pow.f64 (hypot.f64 a b) 4) |
| 94.0ms | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 42.0ms | (*.f64 (*.f64 b b) (+.f64 a 3)) |
| 40.0ms | (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) |
| 1× | egg-herbie |
| 574× | associate-+l+_binary64 |
| 469× | distribute-rgt-in_binary64 |
| 453× | distribute-lft-in_binary64 |
| 338× | associate--l+_binary64 |
| 219× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 174 | 3413 |
| 1 | 464 | 3143 |
| 2 | 1556 | 3045 |
| 3 | 5074 | 3045 |
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 312 | 3 | 315 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 313 | 4 | 317 |
| Status | Error | Program |
| 14.4b | (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1)) 3)) | |
| ✓ | 0.0b | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 10.1b | (/.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (*.f64 (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1))) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1))) | |
| ▶ | 8.2b | (+.f64 -1 (fma.f64 (*.f64 a a) 4 (*.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) 12) (*.f64 a (+.f64 4 (*.f64 2 a))))))) |
Compiled 5136 to 3012 computations (41.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (*.f64 a (+.f64 4 (*.f64 2 a))) |
| ✓ | 0.0b | (fma.f64 (*.f64 a a) 4 (*.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) 12) (*.f64 a (+.f64 4 (*.f64 2 a)))))) |
| ✓ | 1.4b | (*.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) 12) (*.f64 a (+.f64 4 (*.f64 2 a))))) |
| 1× | rewrite-expression-head |
| 12× | associate-*r/_binary64 |
| 10× | add-cbrt-cube_binary64 |
| 10× | add-exp-log_binary64 |
| 10× | pow1_binary64 |
| 9× | add-sqr-sqrt_binary64 |
3 calls:
| 17.0ms | (*.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) 12) (*.f64 a (+.f64 4 (*.f64 2 a))))) |
| 8.0ms | (*.f64 a (+.f64 4 (*.f64 2 a))) |
| 1.0ms | (fma.f64 (*.f64 a a) 4 (*.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) 12) (*.f64 a (+.f64 4 (*.f64 2 a)))))) |
3 calls:
| 116.0ms | (*.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) 12) (*.f64 a (+.f64 4 (*.f64 2 a))))) |
| 70.0ms | (fma.f64 (*.f64 a a) 4 (*.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) 12) (*.f64 a (+.f64 4 (*.f64 2 a)))))) |
| 19.0ms | (*.f64 a (+.f64 4 (*.f64 2 a))) |
| 1× | egg-herbie |
| 404× | associate-+l+_binary64 |
| 330× | associate-+r+_binary64 |
| 284× | associate-*l*_binary64 |
| 253× | associate-*r*_binary64 |
| 238× | exp-sum_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 170 | 3219 |
| 1 | 533 | 2280 |
| 2 | 2174 | 2272 |
| 3 | 4194 | 2272 |
| 4 | 4952 | 2272 |
| 5 | 4942 | 2272 |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 234 | 0 | 234 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 234 | 4 | 238 |
| Status | Error | Program |
| 14.4b | (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1)) 3)) | |
| ✓ | 0.0b | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| ▶ | 10.1b | (/.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (*.f64 (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1))) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1))) |
| ✓ | 8.2b | (+.f64 -1 (fma.f64 (*.f64 a a) 4 (*.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) 12) (*.f64 a (+.f64 4 (*.f64 2 a))))))) |
Compiled 4729 to 2876 computations (39.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.8b | (*.f64 (+.f64 3 a) (*.f64 b b)) | |
| ✓ | 0.8b | (*.f64 (+.f64 3 a) (*.f64 b b)) |
| ✓ | 2.8b | (-.f64 (pow.f64 (hypot.f64 a b) 8) (*.f64 (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1))) |
| ✓ | 9.4b | (/.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (*.f64 (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1))) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1))) |
| 1× | rewrite-expression-head |
| 77× | add-sqr-sqrt_binary64 |
| 48× | difference-of-squares_binary64 |
| 42× | times-frac_binary64 |
| 39× | *-un-lft-identity_binary64 |
| 23× | add-cube-cbrt_binary64 |
3 calls:
| 20.0ms | (/.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (*.f64 (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1))) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1))) |
| 12.0ms | (*.f64 (+.f64 3 a) (*.f64 b b)) |
| 10.0ms | (-.f64 (pow.f64 (hypot.f64 a b) 8) (*.f64 (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1))) |
3 calls:
| 1.1s | (/.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (*.f64 (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1))) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1))) |
| 108.0ms | (-.f64 (pow.f64 (hypot.f64 a b) 8) (*.f64 (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1))) |
| 40.0ms | (*.f64 (+.f64 3 a) (*.f64 b b)) |
| 1× | egg-herbie |
| 580× | times-frac_binary64 |
| 314× | +-commutative_binary64 |
| 275× | fma-def_binary64 |
| 272× | associate-+r+_binary64 |
| 203× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 966 | 23877 |
| 1 | 3091 | 22838 |
| 2 | 4925 | 22573 |
| 3 | 4917 | 22573 |
| 4 | 4930 | 22573 |
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 482 | 0 | 482 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 482 | 4 | 486 |
| Status | Error | Program |
| ▶ | 14.4b | (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1)) 3)) |
| ✓ | 0.0b | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| ✓ | 10.1b | (/.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (*.f64 (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1))) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1))) |
| ✓ | 8.2b | (+.f64 -1 (fma.f64 (*.f64 a a) 4 (*.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) 12) (*.f64 a (+.f64 4 (*.f64 2 a))))))) |
Compiled 38296 to 24917 computations (34.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) |
| ✓ | 0.1b | (pow.f64 (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1)) 3) |
| 0.8b | (*.f64 (+.f64 3 a) (*.f64 b b)) | |
| ✓ | 13.4b | (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1)) 3)) |
| 1× | rewrite-expression-head |
| 44× | *-un-lft-identity_binary64 |
| 41× | add-sqr-sqrt_binary64 |
| 36× | prod-diff_binary64 |
| 34× | add-cube-cbrt_binary64 |
| 21× | cube-prod_binary64 |
3 calls:
| 15.0ms | (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) |
| 10.0ms | (pow.f64 (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1)) 3) |
| 9.0ms | (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1)) 3)) |
3 calls:
| 171.0ms | (pow.f64 (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1)) 3) |
| 95.0ms | (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1)) 3)) |
| 38.0ms | (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) |
| 1× | egg-herbie |
| 812× | fma-def_binary64 |
| 488× | associate-+l+_binary64 |
| 426× | associate-*r*_binary64 |
| 326× | associate-*l*_binary64 |
| 183× | +-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 526 | 8417 |
| 1 | 1550 | 7675 |
| 2 | 5466 | 7675 |
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 557 | 0 | 557 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 557 | 4 | 561 |
| Status | Error | Program |
| ✓ | 14.4b | (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1)) 3)) |
| ✓ | 0.0b | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| ✓ | 10.1b | (/.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (*.f64 (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1))) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (*.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1))) |
| ✓ | 8.2b | (+.f64 -1 (fma.f64 (*.f64 a a) 4 (*.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) 12) (*.f64 a (+.f64 4 (*.f64 2 a))))))) |
Compiled 11903 to 7741 computations (35% saved)
Total 0.0b remaining (50.3%)
Threshold costs 0.0b (50.3%)
Compiled 14440 to 10234 computations (29.1% saved)
| 1× | egg-herbie |
| 4× | +-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 | 16 | 33 |
| 1 | 21 | 33 |
| 2 | 25 | 33 |
| 3 | 27 | 33 |
| 4 | 28 | 33 |
| 5 | 28 | 33 |
Compiled 25 to 17 computations (32% saved)
| 1× | intervals |
| 637.0ms | 8000× | body | 128 | valid |
| 0.0ms | 5× | body | 128 | invalid |
Compiled 205 to 135 computations (34.1% saved)
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