Time bar (total: 3.3s)
| 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 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 12.5% | 87.4% | 0.1% | 7 |
| 18.7% | 81.1% | 0.1% | 8 |
| 25% | 71.8% | 3.3% | 9 |
| 34.3% | 60.1% | 5.6% | 10 |
| 41.3% | 51.5% | 7.2% | 11 |
| 46.8% | 44.1% | 9.1% | 12 |
Compiled 13 to 9 computations (30.8% saved)
| 1.2s | 8256× | body | 256 | valid |
| 187.0ms | 1173× | body | 256 | invalid |
| 2× | egg-herbie |
| 768× | fma-neg_binary64 |
| 441× | fma-def_binary64 |
| 170× | cancel-sign-sub-inv_binary64 |
| 131× | distribute-rgt-in_binary64 |
| 113× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 44 |
| 1 | 44 | 44 |
| 2 | 88 | 44 |
| 3 | 152 | 44 |
| 4 | 338 | 36 |
| 5 | 681 | 32 |
| 6 | 1130 | 32 |
| 7 | 1849 | 32 |
| 8 | 2463 | 32 |
| 9 | 2761 | 32 |
| 10 | 2836 | 32 |
| 11 | 2837 | 32 |
| 12 | 2837 | 32 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
(+.f64 (*.f64 (-.f64 1 y) x) (*.f64 y z)) |
(+.f64 (*.f64 (-.f64 1 z) y) (*.f64 z x)) |
(+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) |
| Outputs |
|---|
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
(fma.f64 (-.f64 1 x) y (*.f64 x z)) |
(fma.f64 x z (*.f64 (-.f64 1 x) y)) |
(-.f64 (fma.f64 x z y) (*.f64 x y)) |
(fma.f64 x (fma.f64 y -1 z) y) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 (-.f64 1 y) x) (*.f64 y z)) |
(fma.f64 (-.f64 1 y) x (*.f64 y z)) |
(fma.f64 y z (*.f64 x (-.f64 1 y))) |
(fma.f64 x (-.f64 1 y) (*.f64 y z)) |
(-.f64 (fma.f64 y z x) (*.f64 x y)) |
(fma.f64 y (fma.f64 x -1 z) x) |
(fma.f64 y (-.f64 z x) x) |
(+.f64 (*.f64 (-.f64 1 z) y) (*.f64 z x)) |
(fma.f64 (-.f64 1 z) y (*.f64 x z)) |
(fma.f64 x z (*.f64 y (-.f64 1 z))) |
(fma.f64 z (fma.f64 y -1 x) y) |
(fma.f64 z (-.f64 x y) y) |
(+.f64 (*.f64 (-.f64 1 x) z) (*.f64 x y)) |
(fma.f64 (-.f64 1 x) z (*.f64 x y)) |
(fma.f64 x y (*.f64 (-.f64 1 x) z)) |
(-.f64 (fma.f64 x y z) (*.f64 x z)) |
(fma.f64 x (fma.f64 z -1 y) z) |
(fma.f64 x (-.f64 y z) z) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 354× | fma-def_binary64 |
| 246× | fma-neg_binary64 |
| 53× | cancel-sign-sub-inv_binary64 |
| 45× | distribute-rgt-in_binary64 |
| 40× | sub-neg_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 11 |
| 1 | 17 | 11 |
| 2 | 30 | 11 |
| 3 | 57 | 11 |
| 4 | 126 | 9 |
| 5 | 218 | 8 |
| 6 | 346 | 8 |
| 7 | 557 | 8 |
| 8 | 964 | 8 |
| 9 | 1146 | 8 |
| 10 | 1206 | 8 |
| 11 | 1216 | 8 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
| Outputs |
|---|
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
(fma.f64 (-.f64 1 x) y (*.f64 x z)) |
(fma.f64 x z (*.f64 (-.f64 1 x) y)) |
(-.f64 (fma.f64 x z y) (*.f64 x y)) |
(fma.f64 x (fma.f64 y -1 z) y) |
(fma.f64 x (-.f64 z y) y) |
Compiled 18 to 10 computations (44.4% saved)
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 |
|---|---|---|
| ▶ | 0b | (fma.f64 x (-.f64 z y) y) |
| ▶ | 0.0b | (+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
Compiled 21 to 13 computations (38.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) | |
| 0.0b | (*.f64 (-.f64 1 x) y) | |
| ✓ | 0.0b | (*.f64 (-.f64 1 x) y) |
| ✓ | 0.0b | (+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
Compiled 27 to 14 computations (48.1% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
| 1.0ms | y | @ | 0 | (+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
| 1.0ms | x | @ | 0 | (+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
| 1.0ms | x | @ | -inf | (+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
| 1.0ms | y | @ | -inf | (+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
| 1× | batch-egg-rewrite |
| 476× | log-prod_binary64 |
| 411× | prod-exp_binary64 |
| 382× | fma-def_binary64 |
| 353× | exp-prod_binary64 |
| 343× | pow-prod-down_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 18 |
| 1 | 192 | 18 |
| 2 | 2616 | 18 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
(*.f64 (-.f64 1 x) y) |
| Outputs |
|---|
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fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)) (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 1 x)) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 1 x) y)) (sqrt.f64 (*.f64 (-.f64 1 x) y)) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z) (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z) (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (*.f64 x z)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) y) (fma.f64 x (+.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1 x) y))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1 x) y)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 x) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 1 x) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) y)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (neg.f64 x)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 y) (*.f64 (log1p.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (*.f64 (log1p.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 x))))))) |
| 1× | egg-herbie |
| 325× | fma-def_binary64 |
| 259× | fma-neg_binary64 |
| 68× | cancel-sign-sub-inv_binary64 |
| 53× | distribute-rgt-in_binary64 |
| 47× | unsub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 482 |
| 1 | 51 | 424 |
| 2 | 105 | 424 |
| 3 | 220 | 424 |
| 4 | 500 | 424 |
| 5 | 841 | 424 |
| 6 | 1130 | 424 |
| 7 | 1305 | 424 |
| 8 | 1321 | 424 |
| 1× | saturated |
| Inputs |
|---|
y |
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y) |
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y) |
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y) |
(*.f64 (+.f64 z (*.f64 -1 y)) x) |
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y) |
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y) |
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x)) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x))) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x))) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x))) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(*.f64 y (-.f64 1 x)) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(*.f64 y (-.f64 1 x)) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(*.f64 y (-.f64 1 x)) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
y |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
| Outputs |
|---|
y |
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(*.f64 (+.f64 z (*.f64 -1 y)) x) |
(*.f64 (+.f64 z (neg.f64 y)) x) |
(*.f64 (-.f64 z y) x) |
(*.f64 x (-.f64 z y)) |
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 (+.f64 z (*.f64 -1 y)) x) y) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x)) |
(*.f64 (+.f64 z (neg.f64 y)) x) |
(*.f64 (-.f64 z y) x) |
(*.f64 x (-.f64 z y)) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x))) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x))) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x))) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 z x) (*.f64 y (-.f64 1 x))) |
(fma.f64 (+.f64 z (neg.f64 y)) x y) |
(fma.f64 (-.f64 z y) x y) |
(fma.f64 x (-.f64 z y) y) |
y |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 (neg.f64 y) x) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(*.f64 (neg.f64 y) x) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
Compiled 15 to 5 computations (66.7% saved)
Compiled 1963 to 1073 computations (45.3% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 131 | 5 | 136 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 131 | 7 | 138 |
| Status | Error | Program |
|---|---|---|
| ▶ | 31.3b | (*.f64 x (-.f64 z y)) |
| 32.4b | y | |
| ✓ | 0b | (fma.f64 x (-.f64 z y) y) |
| ✓ | 0.0b | (+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
| ▶ | 19.8b | (-.f64 y (*.f64 y x)) |
| ▶ | 19.8b | (*.f64 y (-.f64 1 x)) |
| ▶ | 43.3b | (*.f64 z x) |
Compiled 55 to 36 computations (34.5% saved)
Compiled 8 to 4 computations (50% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 y (-.f64 1 x)) | |
| ✓ | 0.0b | (*.f64 y (-.f64 1 x)) |
Compiled 14 to 9 computations (35.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 y (-.f64 1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 y (-.f64 1 x)) |
| 0.0ms | y | @ | -inf | (*.f64 y (-.f64 1 x)) |
| 0.0ms | y | @ | inf | (*.f64 y (-.f64 1 x)) |
| 0.0ms | x | @ | inf | (*.f64 y (-.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 617× | pow1_binary64 |
| 572× | add-log-exp_binary64 |
| 572× | log1p-expm1-u_binary64 |
| 572× | expm1-log1p-u_binary64 |
| 561× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 122 | 7 |
| 2 | 1509 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (-.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) y) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 1 x)))))))) |
| 1× | egg-herbie |
| 133× | fma-def_binary64 |
| 90× | fma-neg_binary64 |
| 21× | cancel-sign-sub-inv_binary64 |
| 19× | associate-*r*_binary64 |
| 18× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 94 |
| 1 | 13 | 76 |
| 2 | 30 | 76 |
| 3 | 46 | 76 |
| 4 | 64 | 76 |
| 5 | 128 | 76 |
| 6 | 243 | 76 |
| 7 | 350 | 76 |
| 8 | 447 | 76 |
| 9 | 523 | 76 |
| 1× | saturated |
| Inputs |
|---|
y |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (neg.f64 (*.f64 y x))) |
(-.f64 y (*.f64 y x)) |
(fma.f64 y (neg.f64 x) y) |
(fma.f64 x (neg.f64 y) y) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (neg.f64 (*.f64 y x))) |
(-.f64 y (*.f64 y x)) |
(fma.f64 y (neg.f64 x) y) |
(fma.f64 x (neg.f64 y) y) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (neg.f64 (*.f64 y x))) |
(-.f64 y (*.f64 y x)) |
(fma.f64 y (neg.f64 x) y) |
(fma.f64 x (neg.f64 y) y) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (neg.f64 (*.f64 y x))) |
(-.f64 y (*.f64 y x)) |
(fma.f64 y (neg.f64 x) y) |
(fma.f64 x (neg.f64 y) y) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (neg.f64 (*.f64 y x))) |
(-.f64 y (*.f64 y x)) |
(fma.f64 y (neg.f64 x) y) |
(fma.f64 x (neg.f64 y) y) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (neg.f64 (*.f64 y x))) |
(-.f64 y (*.f64 y x)) |
(fma.f64 y (neg.f64 x) y) |
(fma.f64 x (neg.f64 y) y) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (neg.f64 (*.f64 y x))) |
(-.f64 y (*.f64 y x)) |
(fma.f64 y (neg.f64 x) y) |
(fma.f64 x (neg.f64 y) y) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (neg.f64 (*.f64 y x))) |
(-.f64 y (*.f64 y x)) |
(fma.f64 y (neg.f64 x) y) |
(fma.f64 x (neg.f64 y) y) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (neg.f64 (*.f64 y x))) |
(-.f64 y (*.f64 y x)) |
(fma.f64 y (neg.f64 x) y) |
(fma.f64 x (neg.f64 y) y) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 y (*.f64 y x)) | |
| ✓ | 0.0b | (-.f64 y (*.f64 y x)) |
Compiled 13 to 5 computations (61.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | x | @ | inf | (-.f64 y (*.f64 y x)) |
| 1.0ms | y | @ | 0 | (-.f64 y (*.f64 y x)) |
| 0.0ms | y | @ | inf | (-.f64 y (*.f64 y x)) |
| 0.0ms | x | @ | -inf | (-.f64 y (*.f64 y x)) |
| 0.0ms | y | @ | -inf | (-.f64 y (*.f64 y x)) |
| 1× | batch-egg-rewrite |
| 649× | pow1_binary64 |
| 604× | add-log-exp_binary64 |
| 604× | log1p-expm1-u_binary64 |
| 604× | expm1-log1p-u_binary64 |
| 591× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 113 | 7 |
| 2 | 1644 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 y (*.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (*.f64 y (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (neg.f64 x) y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (neg.f64 y) x (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) 2) (cbrt.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 y (*.f64 y x))) (sqrt.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 y x) (+.f64 y (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (*.f64 (*.f64 y x) (+.f64 y (*.f64 y x)))) (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (*.f64 y x)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 y y (*.f64 (*.f64 y x) (+.f64 y (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2)) (+.f64 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y x) (+.f64 y (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2))) (neg.f64 (+.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 y (*.f64 y (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 y (*.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 y (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 y (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 y (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 y (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 y (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 x))))))) |
| 1× | egg-herbie |
| 124× | fma-def_binary64 |
| 69× | fma-neg_binary64 |
| 19× | cancel-sign-sub-inv_binary64 |
| 19× | sub-neg_binary64 |
| 17× | associate-*r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 160 |
| 1 | 33 | 160 |
| 2 | 50 | 160 |
| 3 | 87 | 160 |
| 4 | 121 | 160 |
| 5 | 200 | 160 |
| 6 | 329 | 160 |
| 7 | 408 | 160 |
| 8 | 477 | 160 |
| 9 | 483 | 160 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
y |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
| Outputs |
|---|
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(fma.f64 x (neg.f64 y) y) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(fma.f64 x (neg.f64 y) y) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(fma.f64 x (neg.f64 y) y) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(fma.f64 x (neg.f64 y) y) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(fma.f64 x (neg.f64 y) y) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(fma.f64 x (neg.f64 y) y) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(fma.f64 x (neg.f64 y) y) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(fma.f64 x (neg.f64 y) y) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(fma.f64 x (neg.f64 y) y) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(fma.f64 x (neg.f64 y) y) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(fma.f64 x (neg.f64 y) y) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(fma.f64 x (neg.f64 y) y) |
y |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(fma.f64 x (neg.f64 y) y) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(fma.f64 x (neg.f64 y) y) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(fma.f64 x (neg.f64 y) y) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(fma.f64 x (neg.f64 y) y) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(fma.f64 x (neg.f64 y) y) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(fma.f64 x (neg.f64 y) y) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(fma.f64 x (neg.f64 y) y) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(fma.f64 x (neg.f64 y) y) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(fma.f64 x (neg.f64 y) y) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 x (-.f64 z y)) | |
| ✓ | 0.0b | (*.f64 x (-.f64 z y)) |
Compiled 14 to 5 computations (64.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 x (-.f64 z y)) |
| 0.0ms | z | @ | inf | (*.f64 x (-.f64 z y)) |
| 0.0ms | z | @ | -inf | (*.f64 x (-.f64 z y)) |
| 0.0ms | x | @ | inf | (*.f64 x (-.f64 z y)) |
| 0.0ms | x | @ | -inf | (*.f64 x (-.f64 z y)) |
| 1× | batch-egg-rewrite |
| 725× | pow1_binary64 |
| 672× | add-log-exp_binary64 |
| 672× | log1p-expm1-u_binary64 |
| 672× | expm1-log1p-u_binary64 |
| 657× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 129 | 7 |
| 2 | 1780 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (-.f64 z y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (-.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 z 3) (pow.f64 y 3)) x) (fma.f64 z z (*.f64 y (+.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 z z) (*.f64 y y)) x) (+.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (pow.f64 z 3) (pow.f64 y 3))) (fma.f64 z z (*.f64 y (+.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (*.f64 z z) (*.f64 y y))) (+.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 z y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 z y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 z y)))))))) |
| 1× | egg-herbie |
| 203× | fma-def_binary64 |
| 124× | fma-neg_binary64 |
| 43× | cancel-sign-sub-inv_binary64 |
| 34× | distribute-rgt-in_binary64 |
| 27× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 240 |
| 1 | 22 | 240 |
| 2 | 43 | 240 |
| 3 | 62 | 240 |
| 4 | 92 | 240 |
| 5 | 158 | 240 |
| 6 | 287 | 240 |
| 7 | 419 | 240 |
| 8 | 593 | 240 |
| 9 | 731 | 240 |
| 10 | 743 | 240 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 z y) x) |
(*.f64 (-.f64 z y) x) |
(*.f64 (-.f64 z y) x) |
(*.f64 (-.f64 z y) x) |
(*.f64 (-.f64 z y) x) |
(*.f64 (-.f64 z y) x) |
(*.f64 (-.f64 z y) x) |
(*.f64 (-.f64 z y) x) |
(*.f64 (-.f64 z y) x) |
(*.f64 (-.f64 z y) x) |
(*.f64 (-.f64 z y) x) |
(*.f64 (-.f64 z y) x) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
| Outputs |
|---|
(*.f64 (-.f64 z y) x) |
(*.f64 (-.f64 z y) x) |
(*.f64 (-.f64 z y) x) |
(*.f64 (-.f64 z y) x) |
(*.f64 (-.f64 z y) x) |
(*.f64 (-.f64 z y) x) |
(*.f64 (-.f64 z y) x) |
(*.f64 (-.f64 z y) x) |
(*.f64 (-.f64 z y) x) |
(*.f64 (-.f64 z y) x) |
(*.f64 (-.f64 z y) x) |
(*.f64 (-.f64 z y) x) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(*.f64 (-.f64 z y) x) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(*.f64 (-.f64 z y) x) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(*.f64 (-.f64 z y) x) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(*.f64 (-.f64 z y) x) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(*.f64 (-.f64 z y) x) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(*.f64 (-.f64 z y) x) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(*.f64 (-.f64 z y) x) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(*.f64 (-.f64 z y) x) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(*.f64 (-.f64 z y) x) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(*.f64 (-.f64 z y) x) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(*.f64 (-.f64 z y) x) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(*.f64 (-.f64 z y) x) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(*.f64 (-.f64 z y) x) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(*.f64 (-.f64 z y) x) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(*.f64 (-.f64 z y) x) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(*.f64 (-.f64 z y) x) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(*.f64 (-.f64 z y) x) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(*.f64 (-.f64 z y) x) |
Compiled 902 to 341 computations (62.2% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 88 | 2 | 90 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 89 | 8 | 97 |
| Status | Error | Program |
|---|---|---|
| 32.4b | y | |
| ✓ | 0.0b | (+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
| ▶ | 50.3b | (*.f64 y (neg.f64 x)) |
| ✓ | 31.3b | (*.f64 x (-.f64 z y)) |
| ✓ | 0b | (fma.f64 x (-.f64 z y) y) |
| ✓ | 19.8b | (-.f64 y (*.f64 y x)) |
| ✓ | 19.8b | (*.f64 y (-.f64 1 x)) |
| ✓ | 43.3b | (*.f64 z x) |
Compiled 62 to 41 computations (33.9% saved)
Compiled 11 to 5 computations (54.5% saved)
Compiled 3 to 3 computations (0% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 0 | 8 | 8 |
| Status | Error | Program |
|---|---|---|
| 32.4b | y | |
| ✓ | 0.0b | (+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
| ✓ | 50.3b | (*.f64 y (neg.f64 x)) |
| ✓ | 31.3b | (*.f64 x (-.f64 z y)) |
| ✓ | 0b | (fma.f64 x (-.f64 z y) y) |
| ✓ | 19.8b | (-.f64 y (*.f64 y x)) |
| ✓ | 19.8b | (*.f64 y (-.f64 1 x)) |
| ✓ | 43.3b | (*.f64 z x) |
Compiled 62 to 41 computations (33.9% saved)
Compiled 3 to 3 computations (0% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 7 | 7 |
| Total | 0 | 8 | 8 |
| Status | Error | Program |
|---|---|---|
| 32.4b | y | |
| ✓ | 0.0b | (+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
| ✓ | 50.3b | (*.f64 y (neg.f64 x)) |
| ✓ | 31.3b | (*.f64 x (-.f64 z y)) |
| ✓ | 0b | (fma.f64 x (-.f64 z y) y) |
| ✓ | 19.8b | (-.f64 y (*.f64 y x)) |
| ✓ | 19.8b | (*.f64 y (-.f64 1 x)) |
| ✓ | 43.3b | (*.f64 z x) |
Compiled 62 to 41 computations (33.9% saved)
| Inputs |
|---|
y |
(*.f64 z x) |
(*.f64 y (neg.f64 x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 x (-.f64 z y)) |
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
(fma.f64 x (-.f64 z y) y) |
| Outputs |
|---|
(fma.f64 x (-.f64 z y) y) |
4 calls:
| 6.0ms | (+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
| 5.0ms | x |
| 5.0ms | y |
| 5.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | x |
| 0b | 1 | y |
| 0b | 1 | z |
| 0b | 1 | (+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
Compiled 65 to 36 computations (44.6% saved)
| Inputs |
|---|
y |
(*.f64 z x) |
(*.f64 y (neg.f64 x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 x (-.f64 z y)) |
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
| Outputs |
|---|
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
4 calls:
| 25.0ms | (+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
| 7.0ms | x |
| 5.0ms | y |
| 5.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
Compiled 59 to 35 computations (40.7% saved)
| Inputs |
|---|
y |
(*.f64 z x) |
(*.f64 y (neg.f64 x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 x (-.f64 z y)) |
| Outputs |
|---|
(*.f64 x (-.f64 z y)) |
(-.f64 y (*.f64 y x)) |
(*.f64 x (-.f64 z y)) |
3 calls:
| 122.0ms | z |
| 17.0ms | y |
| 13.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 10.1b | 3 | x |
| 11.3b | 3 | y |
| 12.0b | 5 | z |
Compiled 38 to 22 computations (42.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 4.9548887232214546e-36 | 1.0726804060996358e-27 |
| 16.0ms | -117400125672067660.0 | -48940.03389873021 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
y |
(*.f64 z x) |
(*.f64 y (neg.f64 x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
| Outputs |
|---|
(-.f64 y (*.f64 y x)) |
(*.f64 z x) |
(*.f64 y (-.f64 1 x)) |
(*.f64 z x) |
(*.f64 y (-.f64 1 x)) |
3 calls:
| 51.0ms | x |
| 36.0ms | y |
| 23.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 16.9b | 5 | x |
| 12.1b | 5 | y |
| 12.6b | 5 | z |
Compiled 33 to 20 computations (39.4% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 3.2186848096096415e-93 | 7.529619151603546e-81 |
| 17.0ms | -4.4178891406936545e-194 | -2.4749888059516782e-203 |
| 17.0ms | -9.726890206674207e-178 | -3.340257112929291e-179 |
| 16.0ms | -3.0491365115771048e-117 | -3.8986556222174337e-118 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
y |
(*.f64 z x) |
(*.f64 y (neg.f64 x)) |
(*.f64 y (-.f64 1 x)) |
| Outputs |
|---|
(*.f64 y (-.f64 1 x)) |
(*.f64 z x) |
(*.f64 y (-.f64 1 x)) |
(*.f64 z x) |
(*.f64 y (-.f64 1 x)) |
3 calls:
| 134.0ms | x |
| 20.0ms | z |
| 17.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 16.9b | 5 | x |
| 12.1b | 5 | y |
| 12.6b | 5 | z |
Compiled 28 to 18 computations (35.7% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 3.2186848096096415e-93 | 7.529619151603546e-81 |
| 17.0ms | -4.4178891406936545e-194 | -2.4749888059516782e-203 |
| 17.0ms | -9.726890206674207e-178 | -3.340257112929291e-179 |
| 17.0ms | -3.0491365115771048e-117 | -3.8986556222174337e-118 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
y |
(*.f64 z x) |
(*.f64 y (neg.f64 x)) |
| Outputs |
|---|
(*.f64 y (neg.f64 x)) |
(*.f64 z x) |
y |
(*.f64 z x) |
(*.f64 y (neg.f64 x)) |
3 calls:
| 25.0ms | z |
| 18.0ms | y |
| 18.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 17.7b | 5 | x |
| 22.6b | 5 | y |
| 22.8b | 7 | z |
Compiled 23 to 15 computations (34.8% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 41.0ms | 2.994326587489409e+28 | 4.247465330968851e+28 |
| 17.0ms | 4.9548887232214546e-36 | 1.0726804060996358e-27 |
| 18.0ms | -117400125672067660.0 | -48940.03389873021 |
| 40.0ms | -3.8992133910829913e+96 | -1.8493407017299116e+88 |
Compiled 213 to 156 computations (26.8% saved)
Total -39.4b remaining (-174.2%)
Threshold costs -39.4b (-174.2%)
| Inputs |
|---|
y |
(*.f64 z x) |
| Outputs |
|---|
(*.f64 z x) |
y |
(*.f64 z x) |
3 calls:
| 16.0ms | z |
| 12.0ms | y |
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 22.6b | 3 | x |
| 23.9b | 3 | y |
| 24.5b | 5 | z |
Compiled 19 to 13 computations (31.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 4.9548887232214546e-36 | 1.0726804060996358e-27 |
| 18.0ms | -117400125672067660.0 | -48940.03389873021 |
Compiled 18 to 13 computations (27.8% saved)
| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
| 7× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 227 |
| 1 | 66 | 227 |
| 2 | 76 | 227 |
| 3 | 81 | 227 |
| 4 | 83 | 227 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
(if (<=.f64 x -117400125672067664) (*.f64 x (-.f64 z y)) (if (<=.f64 x 7415375853343317/1496577676626844588240573268701473812127674924007424) (-.f64 y (*.f64 y x)) (*.f64 x (-.f64 z y)))) |
(if (<=.f64 y -4328575180230195/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888) (-.f64 y (*.f64 y x)) (if (<=.f64 y -4437835896208195/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (*.f64 z x) (if (<=.f64 y -1815523224845577/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792) (*.f64 y (-.f64 1 x)) (if (<=.f64 y 7559218335895531/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (*.f64 z x) (*.f64 y (-.f64 1 x)))))) |
(if (<=.f64 y -4328575180230195/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888) (*.f64 y (-.f64 1 x)) (if (<=.f64 y -4437835896208195/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (*.f64 z x) (if (<=.f64 y -1815523224845577/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792) (*.f64 y (-.f64 1 x)) (if (<=.f64 y 7559218335895531/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (*.f64 z x) (*.f64 y (-.f64 1 x)))))) |
(if (<=.f64 x -18999999999999998345494232281464727106699175331861319439983092748517895475265033438494720) (*.f64 y (neg.f64 x)) (if (<=.f64 x -117400125672067664) (*.f64 z x) (if (<=.f64 x 7415375853343317/1496577676626844588240573268701473812127674924007424) y (if (<=.f64 x 41999999999999997809298243584) (*.f64 z x) (*.f64 y (neg.f64 x)))))) |
(if (<=.f64 x -117400125672067664) (*.f64 z x) (if (<=.f64 x 7415375853343317/1496577676626844588240573268701473812127674924007424) y (*.f64 z x))) |
y |
| Outputs |
|---|
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
(+.f64 (*.f64 x z) (*.f64 y (-.f64 1 x))) |
(if (<=.f64 x -117400125672067664) (*.f64 x (-.f64 z y)) (if (<=.f64 x 7415375853343317/1496577676626844588240573268701473812127674924007424) (-.f64 y (*.f64 y x)) (*.f64 x (-.f64 z y)))) |
(if (<=.f64 x -117400125672067664) (*.f64 x (-.f64 z y)) (if (<=.f64 x 7415375853343317/1496577676626844588240573268701473812127674924007424) (-.f64 y (*.f64 x y)) (*.f64 x (-.f64 z y)))) |
(if (<=.f64 y -4328575180230195/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888) (-.f64 y (*.f64 y x)) (if (<=.f64 y -4437835896208195/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (*.f64 z x) (if (<=.f64 y -1815523224845577/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792) (*.f64 y (-.f64 1 x)) (if (<=.f64 y 7559218335895531/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (*.f64 z x) (*.f64 y (-.f64 1 x)))))) |
(if (<=.f64 y -4328575180230195/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888) (-.f64 y (*.f64 x y)) (if (<=.f64 y -4437835896208195/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (*.f64 x z) (if (<=.f64 y -1815523224845577/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792) (*.f64 y (-.f64 1 x)) (if (<=.f64 y 7559218335895531/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (*.f64 x z) (*.f64 y (-.f64 1 x)))))) |
(if (<=.f64 y -4328575180230195/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888) (*.f64 y (-.f64 1 x)) (if (<=.f64 y -4437835896208195/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (*.f64 z x) (if (<=.f64 y -1815523224845577/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792) (*.f64 y (-.f64 1 x)) (if (<=.f64 y 7559218335895531/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (*.f64 z x) (*.f64 y (-.f64 1 x)))))) |
(if (<=.f64 y -4328575180230195/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888) (*.f64 y (-.f64 1 x)) (if (<=.f64 y -4437835896208195/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (*.f64 x z) (if (<=.f64 y -1815523224845577/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792) (*.f64 y (-.f64 1 x)) (if (<=.f64 y 7559218335895531/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (*.f64 x z) (*.f64 y (-.f64 1 x)))))) |
(if (<=.f64 x -18999999999999998345494232281464727106699175331861319439983092748517895475265033438494720) (*.f64 y (neg.f64 x)) (if (<=.f64 x -117400125672067664) (*.f64 z x) (if (<=.f64 x 7415375853343317/1496577676626844588240573268701473812127674924007424) y (if (<=.f64 x 41999999999999997809298243584) (*.f64 z x) (*.f64 y (neg.f64 x)))))) |
(if (<=.f64 x -18999999999999998345494232281464727106699175331861319439983092748517895475265033438494720) (*.f64 y (neg.f64 x)) (if (<=.f64 x -117400125672067664) (*.f64 x z) (if (<=.f64 x 7415375853343317/1496577676626844588240573268701473812127674924007424) y (if (<=.f64 x 41999999999999997809298243584) (*.f64 x z) (*.f64 y (neg.f64 x)))))) |
(if (<=.f64 x -18999999999999998345494232281464727106699175331861319439983092748517895475265033438494720) (*.f64 x (neg.f64 y)) (if (<=.f64 x -117400125672067664) (*.f64 x z) (if (<=.f64 x 7415375853343317/1496577676626844588240573268701473812127674924007424) y (if (<=.f64 x 41999999999999997809298243584) (*.f64 x z) (*.f64 x (neg.f64 y)))))) |
(if (<=.f64 x -117400125672067664) (*.f64 z x) (if (<=.f64 x 7415375853343317/1496577676626844588240573268701473812127674924007424) y (*.f64 z x))) |
(if (<=.f64 x -117400125672067664) (*.f64 x z) (if (<=.f64 x 7415375853343317/1496577676626844588240573268701473812127674924007424) y (*.f64 x z))) |
y |
| 1× | fuel |
Compiled 345 to 184 computations (46.7% saved)
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