Time bar (total: 6.6s)
| 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)
| 1.3s | 8256× | body | 128 | valid |
| 0.0ms | 3× | body | 128 | invalid |
Compiled 95 to 59 computations (37.9% 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 | (pow.f64 (hypot.f64 a b) 4) |
| ✓ | 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)) |
| ✓ | 0.1b | (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) |
| ✓ | 0.7b | (*.f64 (*.f64 b b) (+.f64 a 3)) |
4 calls:
| 39.0ms | (+.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)) |
| 38.0ms | (pow.f64 (hypot.f64 a b) 4) |
| 12.0ms | (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) |
| 12.0ms | (*.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:
| 6.0ms | (*.f64 (*.f64 b b) (+.f64 a 3)) |
| 4.0ms | (+.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)) |
| 1.0ms | (pow.f64 (hypot.f64 a b) 4) |
| 0.0ms | (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 | 159 | 3 | 162 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 160 | 4 | 164 |
| 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)) |
| 6.3b | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (expm1.f64 (log1p.f64 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))))) -1)) | |
| ▶ | 0.2b | (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4)) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 12.8b | (/.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))) |
Compiled 5039 to 2952 computations (41.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4)) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 0.1b | (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) | |
| ✓ | 0.3b | (pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4)) |
| 0.7b | (*.f64 (*.f64 b b) (+.f64 a 3)) |
2 calls:
| 42.0ms | (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4)) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 40.0ms | (pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4)) |
| 1× | rewrite-expression-head |
| 22× | unpow-prod-down_binary64 |
| 12× | fma-def_binary64 |
| 11× | *-un-lft-identity_binary64 |
| 9× | add-sqr-sqrt_binary64 |
| 9× | add-cube-cbrt_binary64 |
2 calls:
| 7.0ms | (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4)) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 3.0ms | (pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4)) |
| 1× | egg-herbie |
| 861× | fma-neg_binary64 |
| 756× | fma-def_binary64 |
| 551× | associate-+l+_binary64 |
| 327× | associate--l+_binary64 |
| 260× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 2438 |
| 1 | 356 | 2163 |
| 2 | 1038 | 1979 |
| 3 | 4640 | 1965 |
| 4 | 5355 | 1965 |
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 182 | 0 | 182 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 182 | 4 | 186 |
| 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)) |
| ▶ | 6.3b | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (expm1.f64 (log1p.f64 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))))) -1)) |
| ✓ | 0.2b | (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4)) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| 12.8b | (/.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))) |
Compiled 6109 to 3748 computations (38.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.0b | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (expm1.f64 (log1p.f64 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))))) -1)) |
| 0.1b | (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) | |
| 0.7b | (*.f64 (*.f64 b b) (+.f64 a 3)) | |
| ✓ | 1.4b | (expm1.f64 (log1p.f64 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))))) |
2 calls:
| 41.0ms | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (expm1.f64 (log1p.f64 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))))) -1)) |
| 13.0ms | (expm1.f64 (log1p.f64 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))))) |
| 1× | rewrite-expression-head |
| 7× | fma-def_binary64 |
| 6× | *-un-lft-identity_binary64 |
| 4× | add-sqr-sqrt_binary64 |
| 4× | add-cube-cbrt_binary64 |
| 4× | add-log-exp_binary64 |
2 calls:
| 4.0ms | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (expm1.f64 (log1p.f64 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))))) -1)) |
| 0.0ms | (expm1.f64 (log1p.f64 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))))) |
| 1× | egg-herbie |
| 816× | fma-def_binary64 |
| 802× | fma-neg_binary64 |
| 566× | associate-+l+_binary64 |
| 341× | associate--l+_binary64 |
| 274× | associate-+r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 2223 |
| 1 | 302 | 2023 |
| 2 | 991 | 1883 |
| 3 | 4787 | 1865 |
| 4 | 5455 | 1865 |
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 164 | 0 | 164 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 164 | 4 | 168 |
| 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)) |
| ✓ | 6.3b | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (expm1.f64 (log1p.f64 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))))) -1)) |
| ✓ | 0.2b | (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4)) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| ▶ | 12.8b | (/.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))) |
Compiled 5159 to 3148 computations (39% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.2b | (*.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)) |
| ✓ | 0.7b | (*.f64 (+.f64 3 a) (*.f64 b b)) |
| ✓ | 4.4b | (-.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))) |
| ✓ | 12.0b | (/.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))) |
4 calls:
| 604.0ms | (/.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))) |
| 67.0ms | (-.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))) |
| 52.0ms | (*.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)) |
| 9.0ms | (*.f64 (+.f64 3 a) (*.f64 b b)) |
| 1× | rewrite-expression-head |
| 84× | add-sqr-sqrt_binary64 |
| 48× | difference-of-squares_binary64 |
| 44× | *-un-lft-identity_binary64 |
| 42× | times-frac_binary64 |
| 28× | add-cube-cbrt_binary64 |
4 calls:
| 10.0ms | (/.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))) |
| 6.0ms | (*.f64 (+.f64 3 a) (*.f64 b b)) |
| 5.0ms | (-.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))) |
| 3.0ms | (*.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)) |
| 1× | egg-herbie |
| 583× | times-frac_binary64 |
| 342× | +-commutative_binary64 |
| 298× | fma-def_binary64 |
| 294× | associate-+r+_binary64 |
| 210× | *-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1037 | 26974 |
| 1 | 3319 | 26095 |
| 2 | 4986 | 26095 |
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 439 | 0 | 439 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 439 | 4 | 443 |
| 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)) |
| ✓ | 6.3b | (+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (expm1.f64 (log1p.f64 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))))) -1)) |
| ✓ | 0.2b | (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) (sqrt.f64 4)) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1)) |
| ✓ | 12.8b | (/.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))) |
Compiled 48387 to 31102 computations (35.7% saved)
Total 0.0b remaining (36.3%)
Threshold costs 0.0b (36.3%)
Compiled 29767 to 20522 computations (31.1% saved)
| 1× | egg-herbie |
| 10× | +-commutative_binary64 |
| 10× | *-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 67 |
| 1 | 44 | 67 |
| 2 | 52 | 67 |
| 3 | 64 | 67 |
| 4 | 69 | 67 |
| 5 | 72 | 67 |
| 6 | 73 | 67 |
| 7 | 70 | 67 |
Compiled 241 to 174 computations (27.8% saved)
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