Time bar (total: 3.6s)
| 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 |
| 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)
| 861.0ms | 8256× | body | 256 | valid |
| 125.0ms | 1203× | body | 256 | invalid |
| 2× | egg-herbie |
| 768× | fma-neg_binary64 |
| 441× | fma-def_binary64 |
| 180× | cancel-sign-sub-inv_binary64 |
| 127× | 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 | 1139 | 32 |
| 7 | 1866 | 32 |
| 8 | 2487 | 32 |
| 9 | 2785 | 32 |
| 10 | 2860 | 32 |
| 11 | 2861 | 32 |
| 12 | 2861 | 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)) |
(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 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 (fma.f64 z -1 y) z) |
(fma.f64 x (-.f64 y z) z) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 346× | fma-def_binary64 |
| 246× | fma-neg_binary64 |
| 51× | cancel-sign-sub-inv_binary64 |
| 45× | distribute-rgt-in_binary64 |
| 42× | associate--r+_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 | 961 | 8 |
| 9 | 1141 | 8 |
| 10 | 1201 | 8 |
| 11 | 1211 | 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 |
|---|---|---|
| ▶ | 0.0b | (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 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 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 | x | @ | 0 | (+.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 | @ | -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 | 2622 | 18 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
(*.f64 (-.f64 1 x) y) |
| Outputs |
|---|
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((x 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 (pow.f64 (cbrt.f64 x) 2)) (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 expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) y)))))) (#(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 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 |
| 263× | fma-neg_binary64 |
| 69× | 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 | 219 | 424 |
| 4 | 511 | 424 |
| 5 | 846 | 424 |
| 6 | 1139 | 424 |
| 7 | 1315 | 424 |
| 8 | 1331 | 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) |
(+.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) |
(+.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) |
(*.f64 (+.f64 z (*.f64 -1 y)) x) |
(*.f64 (+.f64 z (neg.f64 y)) x) |
(*.f64 (-.f64 z y) x) |
(+.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) |
(+.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) |
(+.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) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x)) |
(*.f64 (+.f64 z (neg.f64 y)) x) |
(*.f64 (-.f64 z y) x) |
(+.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) |
(+.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) |
(+.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) |
(*.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) |
(+.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) |
(+.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) |
(*.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) |
(+.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) |
(+.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) |
(*.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) |
(+.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) |
(+.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) |
(*.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) |
(+.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) |
(+.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) |
(*.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) |
(+.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) |
(+.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) |
(*.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) |
(+.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) |
(+.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) |
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 (neg.f64 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 (neg.f64 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)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 x (-.f64 z y) y) |
Compiled 15 to 5 computations (66.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (fma.f64 x (-.f64 z y) y) |
| 1.0ms | y | @ | inf | (fma.f64 x (-.f64 z y) y) |
| 1.0ms | x | @ | -inf | (fma.f64 x (-.f64 z y) y) |
| 1.0ms | z | @ | inf | (fma.f64 x (-.f64 z y) y) |
| 1.0ms | y | @ | -inf | (fma.f64 x (-.f64 z y) y) |
| 1× | batch-egg-rewrite |
| 740× | pow1_binary64 |
| 686× | add-log-exp_binary64 |
| 686× | log1p-expm1-u_binary64 |
| 686× | expm1-log1p-u_binary64 |
| 670× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 130 | 8 |
| 2 | 1797 | 8 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 x (-.f64 z y) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 x (-.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 z y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (-.f64 z y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (-.f64 z y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (-.f64 z y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (-.f64 z y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) 2) (cbrt.f64 (fma.f64 x (-.f64 z y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (-.f64 z y) y)) (sqrt.f64 (fma.f64 x (-.f64 z y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 z y)) 3) (pow.f64 y 3)) (+.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (-.f64 (*.f64 y y) (*.f64 (*.f64 x (-.f64 z y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))) (*.f64 y y)) (-.f64 (*.f64 x (-.f64 z y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (-.f64 z y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (-.f64 z y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (-.f64 z y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (-.f64 z y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (-.f64 z y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (-.f64 z y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (-.f64 z y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (-.f64 z y) y))))))) |
| 1× | egg-herbie |
| 422× | fma-def_binary64 |
| 271× | fma-neg_binary64 |
| 63× | distribute-rgt-in_binary64 |
| 42× | unsub-neg_binary64 |
| 40× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 270 |
| 1 | 60 | 264 |
| 2 | 116 | 264 |
| 3 | 230 | 264 |
| 4 | 403 | 264 |
| 5 | 771 | 264 |
| 6 | 1141 | 264 |
| 7 | 1370 | 264 |
| 8 | 1380 | 264 |
| 1× | saturated |
| Inputs |
|---|
y |
(+.f64 (*.f64 (-.f64 z y) x) y) |
(+.f64 (*.f64 (-.f64 z y) x) y) |
(+.f64 (*.f64 (-.f64 z y) x) y) |
(*.f64 (-.f64 z y) x) |
(+.f64 (*.f64 (-.f64 z y) x) y) |
(+.f64 (*.f64 (-.f64 z y) x) y) |
(+.f64 (*.f64 (-.f64 z y) x) y) |
(*.f64 (-.f64 z y) x) |
(+.f64 (*.f64 (-.f64 z y) x) y) |
(+.f64 (*.f64 (-.f64 z y) x) y) |
(+.f64 (*.f64 (-.f64 z y) x) y) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(*.f64 -1 (*.f64 y (-.f64 x 1))) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1)))) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1)))) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1)))) |
| Outputs |
|---|
y |
(+.f64 (*.f64 (-.f64 z y) x) y) |
(fma.f64 (-.f64 z y) x y) |
(+.f64 (*.f64 (-.f64 z y) x) y) |
(fma.f64 (-.f64 z y) x y) |
(+.f64 (*.f64 (-.f64 z y) x) y) |
(fma.f64 (-.f64 z y) x y) |
(*.f64 (-.f64 z y) x) |
(+.f64 (*.f64 (-.f64 z y) x) y) |
(fma.f64 (-.f64 z y) x y) |
(+.f64 (*.f64 (-.f64 z y) x) y) |
(fma.f64 (-.f64 z y) x y) |
(+.f64 (*.f64 (-.f64 z y) x) y) |
(fma.f64 (-.f64 z y) x y) |
(*.f64 (-.f64 z y) x) |
(+.f64 (*.f64 (-.f64 z y) x) y) |
(fma.f64 (-.f64 z y) x y) |
(+.f64 (*.f64 (-.f64 z y) x) y) |
(fma.f64 (-.f64 z y) x y) |
(+.f64 (*.f64 (-.f64 z y) x) y) |
(fma.f64 (-.f64 z y) x y) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (neg.f64 (*.f64 y x))) |
(-.f64 y (*.f64 y x)) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 z y) x y) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 z y) x y) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 z y) x y) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 z y) x y) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 z y) x y) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 z y) x y) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 z y) x y) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 z y) x y) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(fma.f64 (-.f64 z y) x y) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(fma.f64 (-.f64 z y) x y) |
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(fma.f64 (-.f64 z y) x y) |
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(fma.f64 (-.f64 z y) x y) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(+.f64 y (neg.f64 (*.f64 y x))) |
(-.f64 y (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(fma.f64 (-.f64 z y) x y) |
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(fma.f64 (-.f64 z y) x y) |
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(fma.f64 (-.f64 z y) x y) |
(*.f64 -1 (*.f64 y (-.f64 x 1))) |
(+.f64 y (neg.f64 (*.f64 y x))) |
(-.f64 y (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1)))) |
(fma.f64 (-.f64 z y) x y) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1)))) |
(fma.f64 (-.f64 z y) x y) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1)))) |
(fma.f64 (-.f64 z y) x y) |
Compiled 2286 to 1166 computations (49% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 162 | 7 | 169 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 164 | 7 | 171 |
| Status | Error | Program |
|---|---|---|
| ▶ | 21.6b | (-.f64 y (*.f64 y x)) |
| 0.0b | (fma.f64 (-.f64 1 x) y (*.f64 x z)) | |
| ▶ | 21.6b | (*.f64 y (-.f64 1 x)) |
| ▶ | 31.0b | (*.f64 (-.f64 z y) x) |
| ▶ | 41.1b | (*.f64 z x) |
| 31.8b | y | |
| ▶ | 0.0b | (+.f64 (*.f64 (-.f64 z y) x) y) |
Compiled 106 to 69 computations (34.9% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 (-.f64 z y) x) y) |
| ✓ | 0.0b | (*.f64 (-.f64 z y) x) |
Compiled 21 to 6 computations (71.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (*.f64 (-.f64 z y) x) |
| 1.0ms | z | @ | -inf | (*.f64 (-.f64 z y) x) |
| 1.0ms | x | @ | inf | (*.f64 (-.f64 z y) x) |
| 1.0ms | x | @ | 0 | (*.f64 (-.f64 z y) x) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 (-.f64 z y) x) y) |
| 1× | batch-egg-rewrite |
| 951× | pow1_binary64 |
| 883× | add-log-exp_binary64 |
| 883× | log1p-expm1-u_binary64 |
| 883× | expm1-log1p-u_binary64 |
| 864× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 159 | 15 |
| 2 | 2348 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 z y) x) |
(+.f64 (*.f64 (-.f64 z y) x) 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 (-.f64 z y) x)) 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 (-.f64 z y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 z y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 z y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 z y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 z y) x) 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 (-.f64 z y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 z y) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (-.f64 z y) x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z y) x) 2) (-.f64 (*.f64 (-.f64 z y) x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (-.f64 z y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 z y) x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 z y) x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 z y) x y)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 z y) x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 z y) x y)) 2) (cbrt.f64 (fma.f64 (-.f64 z y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 z y) x y)) (sqrt.f64 (fma.f64 (-.f64 z y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (-.f64 z y) x) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (-.f64 z y) x) 2) (*.f64 y (-.f64 y (*.f64 (-.f64 z y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z y) x) 2) (*.f64 y y)) (/.f64 1 (-.f64 (*.f64 (-.f64 z y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z y) x) 2) (*.f64 y (-.f64 y (*.f64 (-.f64 z y) x)))) (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (-.f64 z y) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 (-.f64 z y) x) y) (-.f64 (pow.f64 (*.f64 (-.f64 z y) x) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (-.f64 z y) x) 3)) (+.f64 (pow.f64 (*.f64 (-.f64 z y) x) 2) (*.f64 y (-.f64 y (*.f64 (-.f64 z y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (-.f64 z y) x) 3)) (+.f64 (*.f64 y y) (-.f64 (pow.f64 (*.f64 (-.f64 z y) x) 2) (*.f64 y (*.f64 (-.f64 z y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z y) x) 2) (*.f64 y y)) (-.f64 (*.f64 (-.f64 z y) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (-.f64 z y) x) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z y) x) 2) (*.f64 y (-.f64 y (*.f64 (-.f64 z y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z y) x) 2) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 (-.f64 z y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (-.f64 z y) x) 2)) (-.f64 y (*.f64 (-.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 z y) x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 z y) x y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 z y) x y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 z y) x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 z y) x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 z y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 z y) x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 z y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 z y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 z y) x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 z y) x y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 z y) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 (-.f64 z y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 z y) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 z y) x)) 2) (cbrt.f64 (*.f64 (-.f64 z y) x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (-.f64 z y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 z y) x)) (sqrt.f64 (*.f64 (-.f64 z y) x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (-.f64 z y) x)))))) |
| 1× | egg-herbie |
| 428× | fma-def_binary64 |
| 271× | fma-neg_binary64 |
| 62× | distribute-rgt-in_binary64 |
| 44× | associate-*l*_binary64 |
| 42× | unsub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 504 |
| 1 | 60 | 384 |
| 2 | 120 | 348 |
| 3 | 228 | 348 |
| 4 | 401 | 348 |
| 5 | 780 | 348 |
| 6 | 1158 | 348 |
| 7 | 1387 | 348 |
| 8 | 1397 | 348 |
| 1× | saturated |
| Inputs |
|---|
(*.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))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(*.f64 z x) |
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(*.f64 -1 (*.f64 y (-.f64 x 1))) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1)))) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1)))) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1)))) |
y |
(*.f64 (-.f64 z y) x) |
(*.f64 (-.f64 z y) x) |
| Outputs |
|---|
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 z x (neg.f64 (*.f64 y x))) |
(*.f64 x (-.f64 z y)) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 z x (neg.f64 (*.f64 y x))) |
(*.f64 x (-.f64 z y)) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 z x (neg.f64 (*.f64 y x))) |
(*.f64 x (-.f64 z y)) |
(*.f64 z x) |
(*.f64 x z) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 z x (neg.f64 (*.f64 y x))) |
(*.f64 x (-.f64 z y)) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 z x (neg.f64 (*.f64 y x))) |
(*.f64 x (-.f64 z y)) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 z x (neg.f64 (*.f64 y x))) |
(*.f64 x (-.f64 z y)) |
(*.f64 z x) |
(*.f64 x z) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 z x (neg.f64 (*.f64 y x))) |
(*.f64 x (-.f64 z y)) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 z x (neg.f64 (*.f64 y x))) |
(*.f64 x (-.f64 z y)) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 z x (neg.f64 (*.f64 y x))) |
(*.f64 x (-.f64 z y)) |
(*.f64 z x) |
(*.f64 x z) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 z x (neg.f64 (*.f64 y x))) |
(*.f64 x (-.f64 z y)) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 z x (neg.f64 (*.f64 y x))) |
(*.f64 x (-.f64 z y)) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 z x (neg.f64 (*.f64 y x))) |
(*.f64 x (-.f64 z y)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 z x (neg.f64 (*.f64 y x))) |
(*.f64 x (-.f64 z y)) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 z x (neg.f64 (*.f64 y x))) |
(*.f64 x (-.f64 z y)) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 z x (neg.f64 (*.f64 y x))) |
(*.f64 x (-.f64 z y)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 x (neg.f64 y)) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 z x (neg.f64 (*.f64 y x))) |
(*.f64 x (-.f64 z y)) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 z x (neg.f64 (*.f64 y x))) |
(*.f64 x (-.f64 z y)) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y x))) |
(fma.f64 z x (neg.f64 (*.f64 y x))) |
(*.f64 x (-.f64 z y)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (neg.f64 (*.f64 y x))) |
(-.f64 y (*.f64 y x)) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x)))) |
(+.f64 y (*.f64 x (-.f64 z y))) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x)))) |
(+.f64 y (*.f64 x (-.f64 z y))) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x)))) |
(+.f64 y (*.f64 x (-.f64 z y))) |
(fma.f64 x (-.f64 z y) y) |
(*.f64 z x) |
(*.f64 x z) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x)))) |
(+.f64 y (*.f64 x (-.f64 z y))) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x)))) |
(+.f64 y (*.f64 x (-.f64 z y))) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x)))) |
(+.f64 y (*.f64 x (-.f64 z y))) |
(fma.f64 x (-.f64 z y) y) |
(*.f64 z x) |
(*.f64 x z) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x)))) |
(+.f64 y (*.f64 x (-.f64 z y))) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x)))) |
(+.f64 y (*.f64 x (-.f64 z y))) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 z x) (+.f64 y (*.f64 -1 (*.f64 y x)))) |
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x)))) |
(+.f64 y (*.f64 x (-.f64 z y))) |
(fma.f64 x (-.f64 z y) y) |
(*.f64 z x) |
(*.f64 x z) |
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x)))) |
(+.f64 y (*.f64 x (-.f64 z y))) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x)))) |
(+.f64 y (*.f64 x (-.f64 z y))) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x)))) |
(+.f64 y (*.f64 x (-.f64 z y))) |
(fma.f64 x (-.f64 z y) y) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(+.f64 y (neg.f64 (*.f64 y x))) |
(-.f64 y (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x)))) |
(+.f64 y (*.f64 x (-.f64 z y))) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x)))) |
(+.f64 y (*.f64 x (-.f64 z y))) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 z x) (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x)))) |
(+.f64 y (*.f64 x (-.f64 z y))) |
(fma.f64 x (-.f64 z y) y) |
(*.f64 -1 (*.f64 y (-.f64 x 1))) |
(+.f64 y (neg.f64 (*.f64 y x))) |
(-.f64 y (*.f64 y x)) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1)))) |
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x)))) |
(+.f64 y (*.f64 x (-.f64 z y))) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1)))) |
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x)))) |
(+.f64 y (*.f64 x (-.f64 z y))) |
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 z x) (*.f64 -1 (*.f64 y (-.f64 x 1)))) |
(fma.f64 z x (+.f64 y (neg.f64 (*.f64 y x)))) |
(+.f64 y (*.f64 x (-.f64 z y))) |
(fma.f64 x (-.f64 z y) y) |
y |
(*.f64 (-.f64 z y) x) |
(fma.f64 z x (neg.f64 (*.f64 y x))) |
(*.f64 x (-.f64 z y)) |
(*.f64 (-.f64 z y) x) |
(fma.f64 z x (neg.f64 (*.f64 y x))) |
(*.f64 x (-.f64 z y)) |
Compiled 8 to 4 computations (50% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 y (-.f64 1 x)) |
Compiled 14 to 9 computations (35.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (*.f64 y (-.f64 1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 y (-.f64 1 x)) |
| 0.0ms | y | @ | 0 | (*.f64 y (-.f64 1 x)) |
| 0.0ms | y | @ | inf | (*.f64 y (-.f64 1 x)) |
| 0.0ms | y | @ | -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 | 1510 | 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 expm1.f64 (log1p.f64 (*.f64 y (-.f64 1 x))))))) (#(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)))))))) |
| 1× | egg-herbie |
| 133× | fma-def_binary64 |
| 90× | fma-neg_binary64 |
| 22× | cancel-sign-sub-inv_binary64 |
| 21× | associate-*r*_binary64 |
| 17× | 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 | 253 | 76 |
| 7 | 359 | 76 |
| 8 | 457 | 76 |
| 9 | 533 | 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) |
(*.f64 y (-.f64 1 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) |
(*.f64 y (-.f64 1 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) |
(*.f64 y (-.f64 1 x)) |
(*.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) |
(*.f64 y (-.f64 1 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) |
(*.f64 y (-.f64 1 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) |
(*.f64 y (-.f64 1 x)) |
(*.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) |
(*.f64 y (-.f64 1 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) |
(*.f64 y (-.f64 1 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) |
(*.f64 y (-.f64 1 x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (-.f64 z y) x) |
Compiled 14 to 5 computations (64.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 y (*.f64 y x)) |
Compiled 13 to 5 computations (61.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | (-.f64 y (*.f64 y x)) |
| 1.0ms | y | @ | inf | (-.f64 y (*.f64 y x)) |
| 1.0ms | y | @ | -inf | (-.f64 y (*.f64 y x)) |
| 1.0ms | x | @ | -inf | (-.f64 y (*.f64 y x)) |
| 1.0ms | x | @ | 0 | (-.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 | 1650 | 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 expm1.f64 (log1p.f64 (-.f64 y (*.f64 y x))))))) (#(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 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 |
| 20× | cancel-sign-sub-inv_binary64 |
| 18× | associate-*r*_binary64 |
| 18× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 160 |
| 1 | 33 | 160 |
| 2 | 51 | 160 |
| 3 | 88 | 160 |
| 4 | 122 | 160 |
| 5 | 201 | 160 |
| 6 | 341 | 160 |
| 7 | 419 | 160 |
| 8 | 489 | 160 |
| 9 | 495 | 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)) |
(*.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 (*.f64 -1 x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
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)) |
(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)) |
(+.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)) |
(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)) |
(+.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)) |
Compiled 1710 to 564 computations (67% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 153 | 3 | 156 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 154 | 9 | 163 |
| Status | Error | Program |
|---|---|---|
| ✓ | 41.1b | (*.f64 z x) |
| 31.8b | y | |
| ✓ | 21.6b | (-.f64 y (*.f64 y x)) |
| ▶ | 0.0b | (fma.f64 (-.f64 1 x) y (*.f64 x z)) |
| ✓ | 21.6b | (*.f64 y (-.f64 1 x)) |
| ▶ | 10.5b | (+.f64 (*.f64 z x) y) |
| ✓ | 31.0b | (*.f64 (-.f64 z y) x) |
| ▶ | 52.2b | (*.f64 y (neg.f64 x)) |
| ✓ | 0.0b | (+.f64 (*.f64 (-.f64 z y) x) y) |
Compiled 70 to 46 computations (34.3% saved)
Compiled 11 to 5 computations (54.5% saved)
Compiled 14 to 5 computations (64.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 (-.f64 1 x) y (*.f64 x z)) |
Compiled 21 to 10 computations (52.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (fma.f64 (-.f64 1 x) y (*.f64 x z)) |
| 1.0ms | y | @ | inf | (fma.f64 (-.f64 1 x) y (*.f64 x z)) |
| 1.0ms | x | @ | inf | (fma.f64 (-.f64 1 x) y (*.f64 x z)) |
| 1.0ms | y | @ | -inf | (fma.f64 (-.f64 1 x) y (*.f64 x z)) |
| 1.0ms | y | @ | 0 | (fma.f64 (-.f64 1 x) y (*.f64 x z)) |
| 1× | batch-egg-rewrite |
| 820× | pow1_binary64 |
| 756× | add-log-exp_binary64 |
| 756× | log1p-expm1-u_binary64 |
| 756× | expm1-log1p-u_binary64 |
| 740× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 162 | 11 |
| 2 | 1993 | 11 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (-.f64 1 x) y (*.f64 x z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 1 x) y) 1) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (-.f64 1 x) y (*.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 1 x) y (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 1 x) y (*.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) y (*.f64 x z))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) y (*.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) y (*.f64 x z))) 2) (cbrt.f64 (fma.f64 (-.f64 1 x) y (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 1 x) y (*.f64 x z))) (sqrt.f64 (fma.f64 (-.f64 1 x) y (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3) (pow.f64 (*.f64 x z) 3)) (+.f64 (*.f64 (*.f64 (-.f64 1 x) y) (*.f64 (-.f64 1 x) y)) (-.f64 (pow.f64 (*.f64 x z) 2) (*.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (-.f64 1 x) y) (*.f64 (-.f64 1 x) y)) (pow.f64 (*.f64 x z) 2)) (-.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 1 x) y (*.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1 x) y (*.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) y (*.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 1 x) y (*.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 1 x) y (*.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 1 x) y (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 1 x) y (*.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 1 x) y (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 1 x) y (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 1 x) y (*.f64 x z)))))))) |
| 1× | egg-herbie |
| 329× | fma-def_binary64 |
| 265× | fma-neg_binary64 |
| 63× | distribute-rgt-in_binary64 |
| 62× | cancel-sign-sub-inv_binary64 |
| 49× | unsub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 322 |
| 1 | 43 | 264 |
| 2 | 96 | 264 |
| 3 | 229 | 264 |
| 4 | 504 | 264 |
| 5 | 814 | 264 |
| 6 | 1141 | 264 |
| 7 | 1347 | 264 |
| 8 | 1365 | 264 |
| 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))) |
| 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) |
(+.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) |
(+.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) |
(*.f64 (+.f64 z (*.f64 -1 y)) x) |
(*.f64 (+.f64 z (neg.f64 y)) x) |
(*.f64 (-.f64 z y) x) |
(+.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) |
(+.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) |
(+.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) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) y) x)) |
(*.f64 (+.f64 z (neg.f64 y)) x) |
(*.f64 (-.f64 z y) x) |
(+.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) |
(+.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) |
(+.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) |
(*.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) |
(+.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) |
(+.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) |
(*.f64 y (-.f64 1 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) |
(+.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) |
(+.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) |
(*.f64 y (-.f64 1 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) |
(+.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) |
(+.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) |
(*.f64 y (-.f64 1 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) |
(+.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) |
(+.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) |
(*.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) |
(+.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) |
(+.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) |
(*.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) |
(+.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) |
(+.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) |
Compiled 364 to 194 computations (46.7% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 31 | 0 | 31 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 31 | 9 | 40 |
| Status | Error | Program |
|---|---|---|
| ✓ | 41.1b | (*.f64 z x) |
| 31.8b | y | |
| ✓ | 21.6b | (-.f64 y (*.f64 y x)) |
| ✓ | 0.0b | (fma.f64 (-.f64 1 x) y (*.f64 x z)) |
| ✓ | 21.6b | (*.f64 y (-.f64 1 x)) |
| ✓ | 10.5b | (+.f64 (*.f64 z x) y) |
| ✓ | 31.0b | (*.f64 (-.f64 z y) x) |
| ✓ | 52.2b | (*.f64 y (neg.f64 x)) |
| ✓ | 0.0b | (+.f64 (*.f64 (-.f64 z y) x) y) |
Compiled 70 to 46 computations (34.3% saved)
Compiled 3 to 3 computations (0% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 8 | 8 |
| Total | 0 | 9 | 9 |
| Status | Error | Program |
|---|---|---|
| ✓ | 41.1b | (*.f64 z x) |
| 31.8b | y | |
| ✓ | 21.6b | (-.f64 y (*.f64 y x)) |
| ✓ | 0.0b | (fma.f64 (-.f64 1 x) y (*.f64 x z)) |
| ✓ | 21.6b | (*.f64 y (-.f64 1 x)) |
| ✓ | 10.5b | (+.f64 (*.f64 z x) y) |
| ✓ | 31.0b | (*.f64 (-.f64 z y) x) |
| ✓ | 52.2b | (*.f64 y (neg.f64 x)) |
| ✓ | 0.0b | (+.f64 (*.f64 (-.f64 z y) x) y) |
Compiled 70 to 46 computations (34.3% saved)
| Inputs |
|---|
y |
y |
(*.f64 z x) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 z x) y) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 (-.f64 z y) x) |
(+.f64 (*.f64 (-.f64 z y) x) y) |
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
(fma.f64 x (-.f64 z y) y) |
(fma.f64 (-.f64 1 x) y (*.f64 x z)) |
| Outputs |
|---|
(fma.f64 x (-.f64 z y) y) |
4 calls:
| 8.0ms | z |
| 8.0ms | y |
| 8.0ms | (+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
| 8.0ms | x |
| 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 86 to 41 computations (52.3% saved)
| Inputs |
|---|
y |
y |
(*.f64 z x) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 z x) y) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 (-.f64 z y) x) |
(+.f64 (*.f64 (-.f64 z y) x) y) |
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
| Outputs |
|---|
(+.f64 (*.f64 (-.f64 z y) x) y) |
4 calls:
| 8.0ms | (+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z)) |
| 8.0ms | z |
| 8.0ms | y |
| 7.0ms | x |
| 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 72 to 37 computations (48.6% saved)
| Inputs |
|---|
y |
y |
(*.f64 z x) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 z x) y) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 (-.f64 z y) x) |
| Outputs |
|---|
(*.f64 (-.f64 z y) x) |
(+.f64 (*.f64 z x) y) |
(*.f64 (-.f64 z y) x) |
3 calls:
| 31.0ms | y |
| 19.0ms | x |
| 18.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 3 | x |
| 6.5b | 5 | y |
| 3.7b | 3 | z |
Compiled 44 to 23 computations (47.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 7.548514213166327e-6 | 263523905.2648868 |
| 20.0ms | -362.4884556283587 | -2.7319313354352677e-6 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
y |
y |
(*.f64 z x) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 z x) y) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
| Outputs |
|---|
(+.f64 (*.f64 z x) y) |
(-.f64 y (*.f64 y x)) |
(+.f64 (*.f64 z x) y) |
3 calls:
| 36.0ms | x |
| 20.0ms | z |
| 18.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 6.8b | 6 | x |
| 7.7b | 3 | y |
| 3.7b | 3 | z |
Compiled 39 to 21 computations (46.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 4.824482848324422e-88 | 8.625279798578051e-88 |
| 22.0ms | -4.1387530806619617e-103 | -1.2633047210900228e-103 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
y |
y |
(*.f64 z x) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 z x) y) |
| Outputs |
|---|
(+.f64 (*.f64 z x) y) |
(*.f64 y (neg.f64 x)) |
(+.f64 (*.f64 z x) y) |
(*.f64 y (neg.f64 x)) |
3 calls:
| 22.0ms | x |
| 6.0ms | z |
| 6.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 8.1b | 4 | x |
| 10.5b | 1 | y |
| 10.5b | 1 | z |
Compiled 29 to 16 computations (44.8% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 52.0ms | 3.777973998362889e+164 | 3.1730964147931592e+168 |
| 31.0ms | -53943.16981783005 | -1074.8939322039207 |
| 128.0ms | -2.0434941177387504e+55 | -5.473365373922591e+51 |
Compiled 290 to 205 computations (29.3% saved)
| Inputs |
|---|
y |
y |
(*.f64 z x) |
(*.f64 y (neg.f64 x)) |
| Outputs |
|---|
(*.f64 z x) |
(*.f64 y (neg.f64 x)) |
(*.f64 z x) |
y |
(*.f64 z x) |
(*.f64 y (neg.f64 x)) |
3 calls:
| 50.0ms | x |
| 43.0ms | y |
| 42.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 17.8b | 6 | x |
| 19.1b | 5 | y |
| 23.6b | 5 | z |
Compiled 24 to 15 computations (37.5% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 3.777973998362889e+164 | 3.1730964147931592e+168 |
| 18.0ms | 2.3668108964443738e-21 | 1.4010379071584119e-14 |
| 24.0ms | -4.933789619167596e-18 | -8.996382701254202e-19 |
| 34.0ms | -53943.16981783005 | -1074.8939322039207 |
| 145.0ms | -2.0434941177387504e+55 | -5.473365373922591e+51 |
Compiled 258 to 189 computations (26.7% saved)
| Inputs |
|---|
y |
y |
(*.f64 z x) |
| Outputs |
|---|
y |
(*.f64 z x) |
y |
(*.f64 z x) |
y |
3 calls:
| 20.0ms | y |
| 12.0ms | x |
| 12.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 20.2b | 3 | x |
| 19.1b | 5 | y |
| 24.7b | 3 | z |
Compiled 20 to 13 computations (35% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 1.3923024818382989e-35 | 5.360108575270246e-35 |
| 18.0ms | -3.0688189131191036e-127 | -2.8072257588567853e-127 |
| 18.0ms | -4.881530174584192e-47 | -1.481678449734157e-47 |
| 19.0ms | -2.2954482824187976e-13 | -2.8597060660597046e-24 |
Compiled 18 to 13 computations (27.8% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
| Inputs |
|---|
y |
y |
| Outputs |
|---|
y |
3 calls:
| 4.0ms | x |
| 4.0ms | z |
| 4.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 31.8b | 1 | x |
| 31.8b | 1 | y |
| 31.8b | 1 | z |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
| 7× | +-commutative_binary64 |
| 7× | *-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 219 |
| 1 | 76 | 219 |
| 2 | 85 | 219 |
| 3 | 90 | 219 |
| 4 | 92 | 219 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 (-.f64 z y) x) y) |
(if (<=.f64 x -398560271897945/1099511627776) (*.f64 (-.f64 z y) x) (if (<=.f64 x 8911712628930449/1180591620717411303424) (+.f64 (*.f64 z x) y) (*.f64 (-.f64 z y) x))) |
(if (<=.f64 z -8349448935914975/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (+.f64 (*.f64 z x) y) (if (<=.f64 z 4425977894199960064/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (-.f64 y (*.f64 y x)) (+.f64 (*.f64 z x) y))) |
(if (<=.f64 x -5499999999999999962715217708988953870539396430692352) (+.f64 (*.f64 z x) y) (if (<=.f64 x -7413892806724939/137438953472) (*.f64 y (neg.f64 x)) (if (<=.f64 x 3099999999999999962565133111985684888028358148507104301188320506558789226313289354161696916966459646253263846345358262699570307852754555331089856516083683044653206077440) (+.f64 (*.f64 z x) y) (*.f64 y (neg.f64 x))))) |
(if (<=.f64 x -5499999999999999962715217708988953870539396430692352) (*.f64 z x) (if (<=.f64 x -7413892806724939/137438953472) (*.f64 y (neg.f64 x)) (if (<=.f64 x -6404425085068913/1298074214633706907132624082305024) (*.f64 z x) (if (<=.f64 x 805384013896359680/340282366920938463463374607431768211456) y (if (<=.f64 x 380000000000000021136364279814295666337777446901639993654678593295647045092172874136614336566496293199970285774540699488488244852170632576732115508143447683446603776) (*.f64 z x) (*.f64 y (neg.f64 x))))))) |
(if (<=.f64 y -18186414956256544/79228162514264337593543950336) y (if (<=.f64 y -1255090648278011/25711008708143844408671393477458601640355247900524685364822016) (*.f64 z x) (if (<=.f64 y -958008099321186048/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) y (if (<=.f64 y 5209222033578377/374144419156711147060143317175368453031918731001856) (*.f64 z x) y)))) |
y |
| Outputs |
|---|
(fma.f64 x (-.f64 z y) y) |
(+.f64 (*.f64 (-.f64 z y) x) y) |
(+.f64 y (*.f64 x (-.f64 z y))) |
(if (<=.f64 x -398560271897945/1099511627776) (*.f64 (-.f64 z y) x) (if (<=.f64 x 8911712628930449/1180591620717411303424) (+.f64 (*.f64 z x) y) (*.f64 (-.f64 z y) x))) |
(if (<=.f64 x -398560271897945/1099511627776) (*.f64 x (-.f64 z y)) (if (<=.f64 x 8911712628930449/1180591620717411303424) (+.f64 y (*.f64 x z)) (*.f64 x (-.f64 z y)))) |
(if (<=.f64 z -8349448935914975/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (+.f64 (*.f64 z x) y) (if (<=.f64 z 4425977894199960064/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (-.f64 y (*.f64 y x)) (+.f64 (*.f64 z x) y))) |
(if (<=.f64 z -8349448935914975/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (+.f64 y (*.f64 x z)) (if (<=.f64 z 8644488074609297/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) (-.f64 y (*.f64 x y)) (+.f64 y (*.f64 x z)))) |
(if (<=.f64 x -5499999999999999962715217708988953870539396430692352) (+.f64 (*.f64 z x) y) (if (<=.f64 x -7413892806724939/137438953472) (*.f64 y (neg.f64 x)) (if (<=.f64 x 3099999999999999962565133111985684888028358148507104301188320506558789226313289354161696916966459646253263846345358262699570307852754555331089856516083683044653206077440) (+.f64 (*.f64 z x) y) (*.f64 y (neg.f64 x))))) |
(if (<=.f64 x -5499999999999999962715217708988953870539396430692352) (+.f64 y (*.f64 x z)) (if (<=.f64 x -7413892806724939/137438953472) (*.f64 y (neg.f64 x)) (if (<=.f64 x 3099999999999999962565133111985684888028358148507104301188320506558789226313289354161696916966459646253263846345358262699570307852754555331089856516083683044653206077440) (+.f64 y (*.f64 x z)) (*.f64 y (neg.f64 x))))) |
(if (<=.f64 x -5499999999999999962715217708988953870539396430692352) (*.f64 z x) (if (<=.f64 x -7413892806724939/137438953472) (*.f64 y (neg.f64 x)) (if (<=.f64 x -6404425085068913/1298074214633706907132624082305024) (*.f64 z x) (if (<=.f64 x 805384013896359680/340282366920938463463374607431768211456) y (if (<=.f64 x 380000000000000021136364279814295666337777446901639993654678593295647045092172874136614336566496293199970285774540699488488244852170632576732115508143447683446603776) (*.f64 z x) (*.f64 y (neg.f64 x))))))) |
(if (<=.f64 x -5499999999999999962715217708988953870539396430692352) (*.f64 x z) (if (<=.f64 x -7413892806724939/137438953472) (*.f64 y (neg.f64 x)) (if (<=.f64 x -6404425085068913/1298074214633706907132624082305024) (*.f64 x z) (if (<=.f64 x 3146031304282655/1329227995784915872903807060280344576) y (if (<=.f64 x 380000000000000021136364279814295666337777446901639993654678593295647045092172874136614336566496293199970285774540699488488244852170632576732115508143447683446603776) (*.f64 x z) (*.f64 y (neg.f64 x))))))) |
(if (<=.f64 y -18186414956256544/79228162514264337593543950336) y (if (<=.f64 y -1255090648278011/25711008708143844408671393477458601640355247900524685364822016) (*.f64 z x) (if (<=.f64 y -958008099321186048/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176) y (if (<=.f64 y 5209222033578377/374144419156711147060143317175368453031918731001856) (*.f64 z x) y)))) |
(if (<=.f64 y -568325467383017/2475880078570760549798248448) y (if (<=.f64 y -1255090648278011/25711008708143844408671393477458601640355247900524685364822016) (*.f64 x z) (if (<=.f64 y -3742219137973383/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696) y (if (<=.f64 y 5209222033578377/374144419156711147060143317175368453031918731001856) (*.f64 x z) y)))) |
y |
Compiled 177 to 93 computations (47.5% saved)
| 1× | egg-herbie |
| 346× | fma-def_binary64 |
| 246× | fma-neg_binary64 |
| 51× | cancel-sign-sub-inv_binary64 |
| 45× | distribute-rgt-in_binary64 |
| 42× | associate--r+_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 | 961 | 8 |
| 9 | 1141 | 8 |
| 10 | 1201 | 8 |
| 11 | 1211 | 8 |
| 1× | saturated |
Compiled 197 to 126 computations (36% saved)
Compiled 156 to 61 computations (60.9% saved)
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