Time bar (total: 4.3s)
| 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 |
| 40.6% | 53.8% | 5.6% | 11 |
| 46.8% | 44.1% | 9.1% | 12 |
Compiled 13 to 9 computations (30.8% saved)
| 1.5s | 8256× | body | 256 | valid |
| 326.0ms | 1269× | 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 | 43 | 44 |
| 2 | 87 | 44 |
| 3 | 151 | 44 |
| 4 | 337 | 36 |
| 5 | 680 | 32 |
| 6 | 1142 | 32 |
| 7 | 1869 | 32 |
| 8 | 2490 | 32 |
| 9 | 2788 | 32 |
| 10 | 2863 | 32 |
| 11 | 2864 | 32 |
| 12 | 2864 | 32 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(+.f64 (*.f64 z y) (*.f64 x (-.f64 1 y))) |
(+.f64 (*.f64 x z) (*.f64 y (-.f64 1 z))) |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
(fma.f64 x y (*.f64 z (-.f64 1 y))) |
(fma.f64 x y (-.f64 z (*.f64 y z))) |
(fma.f64 y (fma.f64 z -1 x) z) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 x))) |
(fma.f64 y x (*.f64 z (-.f64 1 x))) |
(fma.f64 x y (*.f64 z (-.f64 1 x))) |
(fma.f64 x y (fma.f64 z (neg.f64 x) z)) |
(fma.f64 x (fma.f64 z -1 y) z) |
(fma.f64 x (-.f64 y z) z) |
(+.f64 (*.f64 z y) (*.f64 x (-.f64 1 y))) |
(fma.f64 z y (*.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 x z) (*.f64 y (-.f64 1 z))) |
(fma.f64 x z (*.f64 y (-.f64 1 z))) |
(fma.f64 x z (fma.f64 z (neg.f64 y) y)) |
(fma.f64 z (fma.f64 y -1 x) y) |
(fma.f64 z (-.f64 x y) y) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 354× | fma-def_binary64 |
| 246× | fma-neg_binary64 |
| 54× | cancel-sign-sub-inv_binary64 |
| 44× | 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 | 347 | 8 |
| 7 | 558 | 8 |
| 8 | 969 | 8 |
| 9 | 1154 | 8 |
| 10 | 1214 | 8 |
| 11 | 1224 | 8 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
(fma.f64 x y (*.f64 z (-.f64 1 y))) |
(fma.f64 z (-.f64 1 y) (*.f64 x y)) |
(-.f64 (fma.f64 x y z) (*.f64 y z)) |
(fma.f64 y (fma.f64 z -1 x) z) |
(fma.f64 y (-.f64 x z) z) |
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 y (-.f64 x z) z) |
| ▶ | 0.0b | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
Compiled 21 to 13 computations (38.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 z (-.f64 1 y)) |
| ✓ | 0.0b | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
Compiled 27 to 14 computations (48.1% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| 1.0ms | x | @ | 0 | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| 1.0ms | y | @ | 0 | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| 1.0ms | z | @ | -inf | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| 1.0ms | y | @ | -inf | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| 1× | batch-egg-rewrite |
| 476× | log-prod_binary64 |
| 409× | prod-exp_binary64 |
| 382× | fma-def_binary64 |
| 353× | exp-prod_binary64 |
| 342× | pow-prod-down_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 18 |
| 1 | 192 | 18 |
| 2 | 2623 | 18 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
(*.f64 z (-.f64 1 y)) |
| Outputs |
|---|
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fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (-.f64 1 y))) (sqrt.f64 (*.f64 z (-.f64 1 y))) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (-.f64 1 y)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 y)) (*.f64 (sqrt.f64 (-.f64 1 y)) z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (-.f64 1 y)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (-.f64 1 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 y)) z)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 y)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (-.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) z) (fma.f64 y (+.f64 y 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (pow.f64 y 3))) (fma.f64 y (+.f64 y 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (*.f64 y y))) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (-.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (-.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z (-.f64 1 y)))) 2)) (cbrt.f64 (log.f64 (*.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (-.f64 1 y))))) (sqrt.f64 (log.f64 (*.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (-.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (-.f64 1 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (-.f64 1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z (-.f64 1 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (-.f64 1 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (-.f64 1 y))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 z) (*.f64 (log1p.f64 (neg.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (*.f64 (log1p.f64 (neg.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 y)) 1) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 y)) 1) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z (neg.f64 y))))))) |
| 1× | egg-herbie |
| 315× | fma-def_binary64 |
| 245× | fma-neg_binary64 |
| 50× | cancel-sign-sub-inv_binary64 |
| 46× | unsub-neg_binary64 |
| 38× | sub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 423 |
| 1 | 63 | 340 |
| 2 | 133 | 340 |
| 3 | 253 | 340 |
| 4 | 512 | 340 |
| 5 | 862 | 340 |
| 6 | 1117 | 340 |
| 7 | 1184 | 340 |
| 8 | 1186 | 340 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 z (-.f64 1 y)) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
z |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(*.f64 y (+.f64 (*.f64 -1 z) x)) |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(*.f64 z (-.f64 1 y)) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(*.f64 z (-.f64 1 y)) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
z |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
| Outputs |
|---|
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
z |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 y (+.f64 (*.f64 -1 z) x)) |
(*.f64 y (fma.f64 -1 z x)) |
(*.f64 y (-.f64 x z)) |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) |
(*.f64 y (fma.f64 -1 z x)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
z |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 z y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 z y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 y (-.f64 x z) z) |
Compiled 15 to 5 computations (66.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (fma.f64 y (-.f64 x z) z) |
| 1.0ms | z | @ | -inf | (fma.f64 y (-.f64 x z) z) |
| 1.0ms | y | @ | -inf | (fma.f64 y (-.f64 x z) z) |
| 1.0ms | x | @ | inf | (fma.f64 y (-.f64 x z) z) |
| 1.0ms | x | @ | -inf | (fma.f64 y (-.f64 x z) z) |
| 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 y (-.f64 x z) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 x z)) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (-.f64 x z)) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y (-.f64 x z) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 x z) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (-.f64 x z) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (-.f64 x z) z)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 x z) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 x z) z)) 2) (cbrt.f64 (fma.f64 y (-.f64 x z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (-.f64 x z) z)) (sqrt.f64 (fma.f64 y (-.f64 x z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3) (pow.f64 z 3)) (+.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 y (-.f64 x z))) (-.f64 (*.f64 z z) (*.f64 (*.f64 y (-.f64 x z)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y (-.f64 x z)) (*.f64 y (-.f64 x z))) (*.f64 z z)) (-.f64 (*.f64 y (-.f64 x z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (-.f64 x z) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (-.f64 x z) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (-.f64 x z) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (-.f64 x z) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (-.f64 x z) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (-.f64 x z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (-.f64 x z) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (-.f64 x z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (-.f64 x z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (-.f64 x z) z))))))) |
| 1× | egg-herbie |
| 463× | fma-def_binary64 |
| 284× | fma-neg_binary64 |
| 66× | distribute-rgt-in_binary64 |
| 53× | cancel-sign-sub-inv_binary64 |
| 45× | unsub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 267 |
| 1 | 63 | 264 |
| 2 | 123 | 264 |
| 3 | 205 | 264 |
| 4 | 377 | 264 |
| 5 | 773 | 264 |
| 6 | 1121 | 264 |
| 7 | 1408 | 264 |
| 8 | 1440 | 264 |
| 9 | 1442 | 264 |
| 1× | saturated |
| Inputs |
|---|
z |
(+.f64 (*.f64 y (-.f64 x z)) z) |
(+.f64 (*.f64 y (-.f64 x z)) z) |
(+.f64 (*.f64 y (-.f64 x z)) z) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y (-.f64 x z)) z) |
(+.f64 (*.f64 y (-.f64 x z)) z) |
(+.f64 (*.f64 y (-.f64 x z)) z) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y (-.f64 x z)) z) |
(+.f64 (*.f64 y (-.f64 x z)) z) |
(+.f64 (*.f64 y (-.f64 x z)) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 y z)) z)) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 y z)) z)) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 y z)) z)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z)) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z)) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z)) |
(*.f64 (+.f64 1 (*.f64 -1 y)) z) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z)) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z)) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z)) |
(*.f64 -1 (*.f64 z (-.f64 y 1))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z (-.f64 y 1)))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z (-.f64 y 1)))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z (-.f64 y 1)))) |
| Outputs |
|---|
z |
(+.f64 (*.f64 y (-.f64 x z)) z) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y (-.f64 x z)) z) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y (-.f64 x z)) z) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y (-.f64 x z)) z) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y (-.f64 x z)) z) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y (-.f64 x z)) z) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y (-.f64 x z)) z) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y (-.f64 x z)) z) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y (-.f64 x z)) z) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(fma.f64 -1 (*.f64 z y) z) |
(fma.f64 (neg.f64 y) z z) |
(*.f64 z (-.f64 1 y)) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 y z)) z)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 y z)) z)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 y z)) z)) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z)) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z)) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z)) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 (+.f64 1 (*.f64 -1 y)) z) |
(fma.f64 -1 (*.f64 z y) z) |
(fma.f64 (neg.f64 y) z z) |
(*.f64 z (-.f64 1 y)) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z)) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 -1 (*.f64 z (-.f64 y 1))) |
(fma.f64 -1 (*.f64 z y) z) |
(fma.f64 (neg.f64 y) z z) |
(*.f64 z (-.f64 1 y)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z (-.f64 y 1)))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z (-.f64 y 1)))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z (-.f64 y 1)))) |
(fma.f64 y (-.f64 x z) z) |
Compiled 2290 to 1140 computations (50.2% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 162 | 7 | 169 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 163 | 8 | 171 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 y (-.f64 x z) z) |
| ▶ | 27.4b | (*.f64 y (-.f64 x z)) |
| ▶ | 41.3b | (*.f64 y x) |
| 0.0b | (fma.f64 (-.f64 1 y) z (*.f64 x y)) | |
| ▶ | 22.2b | (-.f64 z (*.f64 z y)) |
| ▶ | 22.2b | (*.f64 z (-.f64 1 y)) |
| ▶ | 0.0b | (+.f64 (*.f64 y (-.f64 x z)) z) |
| 35.7b | z |
Compiled 115 to 74 computations (35.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 y (-.f64 x z)) |
| ✓ | 0.0b | (+.f64 (*.f64 y (-.f64 x z)) z) |
Compiled 21 to 6 computations (71.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (*.f64 y (-.f64 x z)) |
| 1.0ms | x | @ | -inf | (+.f64 (*.f64 y (-.f64 x z)) z) |
| 0.0ms | y | @ | -inf | (+.f64 (*.f64 y (-.f64 x z)) z) |
| 0.0ms | y | @ | inf | (+.f64 (*.f64 y (-.f64 x z)) z) |
| 0.0ms | y | @ | 0 | (*.f64 y (-.f64 x z)) |
| 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 y (-.f64 x z)) z) |
(*.f64 y (-.f64 x z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y (-.f64 x z) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) (-.f64 (*.f64 y (-.f64 x z)) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 y (-.f64 x z)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 x z) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (-.f64 x z) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (-.f64 x z) z)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 x z) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 x z) z)) 2) (cbrt.f64 (fma.f64 y (-.f64 x z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (-.f64 x z) z)) (sqrt.f64 (fma.f64 y (-.f64 x z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 y (-.f64 x z)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) (*.f64 z (-.f64 z (*.f64 y (-.f64 x z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 y (-.f64 x z)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) (*.f64 z (-.f64 z (*.f64 y (-.f64 x z))))) (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 y (-.f64 x z)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y (-.f64 x z)) z) (-.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 y (-.f64 x z)) 3)) (+.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) (*.f64 z (-.f64 z (*.f64 y (-.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 y (-.f64 x z)) 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) (*.f64 z (*.f64 y (-.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) (*.f64 z z)) (-.f64 (*.f64 y (-.f64 x z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 y (-.f64 x z)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) (*.f64 z (-.f64 z (*.f64 y (-.f64 x z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 y (-.f64 x z)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 y (-.f64 x z)) 2)) (-.f64 z (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (-.f64 x z) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (-.f64 x z) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (-.f64 x z) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (-.f64 x z) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (-.f64 x z) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (-.f64 x z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (-.f64 x z) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (-.f64 x z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (-.f64 x z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (-.f64 x z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (-.f64 x z) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x z) y z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (-.f64 x z)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 2) (cbrt.f64 (*.f64 y (-.f64 x z))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 y (-.f64 x z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (-.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (*.f64 z (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (fma.f64 x x (*.f64 z (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (*.f64 x x) (*.f64 z z))) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 x z)))))))) |
| 1× | egg-herbie |
| 463× | fma-def_binary64 |
| 284× | fma-neg_binary64 |
| 66× | distribute-rgt-in_binary64 |
| 53× | cancel-sign-sub-inv_binary64 |
| 45× | unsub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 423 |
| 1 | 62 | 384 |
| 2 | 119 | 348 |
| 3 | 203 | 348 |
| 4 | 375 | 348 |
| 5 | 768 | 348 |
| 6 | 1116 | 348 |
| 7 | 1403 | 348 |
| 8 | 1435 | 348 |
| 9 | 1437 | 348 |
| 1× | saturated |
| Inputs |
|---|
z |
(*.f64 y (-.f64 x z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 y z)) z)) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 y z)) z)) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 y z)) z)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z)) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z)) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z)) |
(*.f64 (+.f64 1 (*.f64 -1 y)) z) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z)) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z)) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z)) |
(*.f64 -1 (*.f64 z (-.f64 y 1))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z (-.f64 y 1)))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z (-.f64 y 1)))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z (-.f64 y 1)))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
| Outputs |
|---|
z |
(*.f64 y (-.f64 x z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(fma.f64 -1 (*.f64 z y) z) |
(fma.f64 (neg.f64 y) z z) |
(fma.f64 z (neg.f64 y) z) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 y z)) z)) |
(fma.f64 y x (fma.f64 -1 (*.f64 z y) z)) |
(+.f64 z (*.f64 y (-.f64 x z))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 y z)) z)) |
(fma.f64 y x (fma.f64 -1 (*.f64 z y) z)) |
(+.f64 z (*.f64 y (-.f64 x z))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 y z)) z)) |
(fma.f64 y x (fma.f64 -1 (*.f64 z y) z)) |
(+.f64 z (*.f64 y (-.f64 x z))) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z)) |
(fma.f64 y x (fma.f64 -1 (*.f64 z y) z)) |
(+.f64 z (*.f64 y (-.f64 x z))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z)) |
(fma.f64 y x (fma.f64 -1 (*.f64 z y) z)) |
(+.f64 z (*.f64 y (-.f64 x z))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z)) |
(fma.f64 y x (fma.f64 -1 (*.f64 z y) z)) |
(+.f64 z (*.f64 y (-.f64 x z))) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z)) |
(fma.f64 y x (fma.f64 -1 (*.f64 z y) z)) |
(+.f64 z (*.f64 y (-.f64 x z))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z)) |
(fma.f64 y x (fma.f64 -1 (*.f64 z y) z)) |
(+.f64 z (*.f64 y (-.f64 x z))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 y x) z)) |
(fma.f64 y x (fma.f64 -1 (*.f64 z y) z)) |
(+.f64 z (*.f64 y (-.f64 x z))) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z)) |
(fma.f64 y x (fma.f64 -1 (*.f64 z y) z)) |
(+.f64 z (*.f64 y (-.f64 x z))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z)) |
(fma.f64 y x (fma.f64 -1 (*.f64 z y) z)) |
(+.f64 z (*.f64 y (-.f64 x z))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z)) |
(fma.f64 y x (fma.f64 -1 (*.f64 z y) z)) |
(+.f64 z (*.f64 y (-.f64 x z))) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 (+.f64 1 (*.f64 -1 y)) z) |
(fma.f64 -1 (*.f64 z y) z) |
(fma.f64 (neg.f64 y) z z) |
(fma.f64 z (neg.f64 y) z) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z)) |
(fma.f64 y x (fma.f64 -1 (*.f64 z y) z)) |
(+.f64 z (*.f64 y (-.f64 x z))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z)) |
(fma.f64 y x (fma.f64 -1 (*.f64 z y) z)) |
(+.f64 z (*.f64 y (-.f64 x z))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z)) |
(fma.f64 y x (fma.f64 -1 (*.f64 z y) z)) |
(+.f64 z (*.f64 y (-.f64 x z))) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 -1 (*.f64 z (-.f64 y 1))) |
(fma.f64 -1 (*.f64 z y) z) |
(fma.f64 (neg.f64 y) z z) |
(fma.f64 z (neg.f64 y) z) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z (-.f64 y 1)))) |
(fma.f64 y x (fma.f64 -1 (*.f64 z y) z)) |
(+.f64 z (*.f64 y (-.f64 x z))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z (-.f64 y 1)))) |
(fma.f64 y x (fma.f64 -1 (*.f64 z y) z)) |
(+.f64 z (*.f64 y (-.f64 x z))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z (-.f64 y 1)))) |
(fma.f64 y x (fma.f64 -1 (*.f64 z y) z)) |
(+.f64 z (*.f64 y (-.f64 x z))) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 -1 (*.f64 y z)) |
(*.f64 (neg.f64 y) z) |
(*.f64 z (neg.f64 y)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(*.f64 y (-.f64 x z)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(*.f64 y (-.f64 x z)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y z)) |
(*.f64 (neg.f64 y) z) |
(*.f64 z (neg.f64 y)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y z)) |
(*.f64 (neg.f64 y) z) |
(*.f64 z (neg.f64 y)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
Compiled 8 to 4 computations (50% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 y (-.f64 x z)) |
Compiled 14 to 5 computations (64.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 z (-.f64 1 y)) |
Compiled 14 to 9 computations (35.7% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 z (*.f64 z y)) |
Compiled 13 to 5 computations (61.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (-.f64 z (*.f64 z y)) |
| 1.0ms | z | @ | 0 | (-.f64 z (*.f64 z y)) |
| 0.0ms | z | @ | inf | (-.f64 z (*.f64 z y)) |
| 0.0ms | z | @ | -inf | (-.f64 z (*.f64 z y)) |
| 0.0ms | y | @ | -inf | (-.f64 z (*.f64 z y)) |
| 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 z (*.f64 z y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 (*.f64 z (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 z (*.f64 z y)) (fma.f64 (neg.f64 y) z (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 z (*.f64 z y)) (fma.f64 (neg.f64 z) y (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 z (*.f64 z y)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 z (*.f64 z y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 z (*.f64 z y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y)) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 z (*.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 z (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 z (*.f64 z y))) (pow.f64 (cbrt.f64 (-.f64 z (*.f64 z y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 z (*.f64 z y))) 2) (cbrt.f64 (-.f64 z (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 z (*.f64 z y))) (sqrt.f64 (-.f64 z (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z y) 3)) (/.f64 1 (fma.f64 z z (*.f64 (*.f64 z y) (+.f64 z (*.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 z y) 2)) (/.f64 1 (+.f64 z (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z y))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z z (*.f64 (*.f64 z y) (+.f64 z (*.f64 z y)))) (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 z (*.f64 z y)) (-.f64 (*.f64 z z) (pow.f64 (*.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z y) 3)) (fma.f64 z z (*.f64 (*.f64 z y) (+.f64 z (*.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 z y) 2)) (+.f64 z (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z y) 3))) (neg.f64 (fma.f64 z z (*.f64 (*.f64 z y) (+.f64 z (*.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 z y) 2))) (neg.f64 (+.f64 z (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 z 3) (pow.f64 (*.f64 z (neg.f64 y)) 3)) (+.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y))) (*.f64 z (*.f64 z (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 z (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 z (*.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 z (*.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 z (*.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 z (*.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 z (*.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 z (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 z (*.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 z (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 z (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 z (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z (neg.f64 y))))))) |
| 1× | egg-herbie |
| 145× | fma-def_binary64 |
| 71× | fma-neg_binary64 |
| 21× | cancel-sign-sub-inv_binary64 |
| 19× | associate-*r*_binary64 |
| 18× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 160 |
| 1 | 27 | 160 |
| 2 | 49 | 160 |
| 3 | 88 | 160 |
| 4 | 136 | 160 |
| 5 | 223 | 160 |
| 6 | 371 | 160 |
| 7 | 450 | 160 |
| 8 | 518 | 160 |
| 9 | 524 | 160 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 z (-.f64 1 y)) |
(*.f64 z (-.f64 1 y)) |
(*.f64 z (-.f64 1 y)) |
(*.f64 z (-.f64 1 y)) |
(*.f64 z (-.f64 1 y)) |
(*.f64 z (-.f64 1 y)) |
(*.f64 z (-.f64 1 y)) |
(*.f64 z (-.f64 1 y)) |
(*.f64 (+.f64 1 (*.f64 -1 y)) z) |
(*.f64 (+.f64 1 (*.f64 -1 y)) z) |
(*.f64 (+.f64 1 (*.f64 -1 y)) z) |
(*.f64 (+.f64 1 (*.f64 -1 y)) z) |
z |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
| Outputs |
|---|
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 z (neg.f64 y) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 z (neg.f64 y) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 z (neg.f64 y) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 z (neg.f64 y) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 z (neg.f64 y) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 z (neg.f64 y) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 z (neg.f64 y) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 z (neg.f64 y) z) |
(*.f64 (+.f64 1 (*.f64 -1 y)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 z (neg.f64 y) z) |
(*.f64 (+.f64 1 (*.f64 -1 y)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 z (neg.f64 y) z) |
(*.f64 (+.f64 1 (*.f64 -1 y)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 z (neg.f64 y) z) |
(*.f64 (+.f64 1 (*.f64 -1 y)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 z (neg.f64 y) z) |
z |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 z (neg.f64 y) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 z (neg.f64 y) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 z (neg.f64 y) z) |
(*.f64 -1 (*.f64 y z)) |
(*.f64 (neg.f64 y) z) |
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 z (neg.f64 y) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 z (neg.f64 y) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 z (neg.f64 y) z) |
(*.f64 -1 (*.f64 y z)) |
(*.f64 (neg.f64 y) z) |
(*.f64 y (neg.f64 z)) |
(*.f64 z (neg.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 z (neg.f64 y) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 z (neg.f64 y) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 z (neg.f64 y) z) |
Compiled 2023 to 752 computations (62.8% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 179 | 3 | 182 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 181 | 9 | 190 |
| Status | Error | Program |
|---|---|---|
| ✓ | 41.3b | (*.f64 y x) |
| 35.7b | z | |
| ▶ | 0.0b | (fma.f64 (-.f64 1 y) z (*.f64 x y)) |
| ✓ | 22.2b | (-.f64 z (*.f64 z y)) |
| ✓ | 22.2b | (*.f64 z (-.f64 1 y)) |
| ▶ | 49.2b | (*.f64 z (neg.f64 y)) |
| ✓ | 0.0b | (+.f64 (*.f64 y (-.f64 x z)) z) |
| ▶ | 22.2b | (fma.f64 z (neg.f64 y) z) |
| ✓ | 27.4b | (*.f64 y (-.f64 x z)) |
Compiled 70 to 46 computations (34.3% saved)
Compiled 11 to 5 computations (54.5% saved)
Compiled 12 to 5 computations (58.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 (-.f64 1 y) z (*.f64 x y)) |
Compiled 21 to 10 computations (52.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (fma.f64 (-.f64 1 y) z (*.f64 x y)) |
| 0.0ms | z | @ | 0 | (fma.f64 (-.f64 1 y) z (*.f64 x y)) |
| 0.0ms | z | @ | -inf | (fma.f64 (-.f64 1 y) z (*.f64 x y)) |
| 0.0ms | z | @ | inf | (fma.f64 (-.f64 1 y) z (*.f64 x y)) |
| 0.0ms | x | @ | 0 | (fma.f64 (-.f64 1 y) z (*.f64 x y)) |
| 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 y) z (*.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (-.f64 1 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 y) z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 1 y) z) 1) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (-.f64 1 y) z (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 1 y) z (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x))) 2) (cbrt.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x))) (sqrt.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 y) z) 3) (pow.f64 (*.f64 y x) 3)) (+.f64 (*.f64 (*.f64 (-.f64 1 y) z) (*.f64 (-.f64 1 y) z)) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 (-.f64 1 y) z) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (-.f64 1 y) z) (*.f64 (-.f64 1 y) z)) (pow.f64 (*.f64 y x) 2)) (-.f64 (*.f64 (-.f64 1 y) z) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 1 y) z (*.f64 y x)))))))) |
| 1× | egg-herbie |
| 315× | fma-def_binary64 |
| 272× | fma-neg_binary64 |
| 50× | cancel-sign-sub-inv_binary64 |
| 49× | unsub-neg_binary64 |
| 38× | distribute-rgt-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 347 |
| 1 | 55 | 264 |
| 2 | 145 | 264 |
| 3 | 256 | 264 |
| 4 | 486 | 264 |
| 5 | 850 | 264 |
| 6 | 1159 | 264 |
| 7 | 1254 | 264 |
| 8 | 1257 | 264 |
| 1× | saturated |
| Inputs |
|---|
z |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(*.f64 y (+.f64 (*.f64 -1 z) x)) |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(*.f64 z (-.f64 1 y)) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(*.f64 z (-.f64 1 y)) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(*.f64 z (-.f64 1 y)) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
| Outputs |
|---|
z |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 y (+.f64 (*.f64 -1 z) x)) |
(*.f64 y (fma.f64 -1 z x)) |
(*.f64 y (-.f64 x z)) |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) |
(*.f64 y (fma.f64 -1 z x)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(+.f64 z (*.f64 y (fma.f64 -1 z x))) |
(fma.f64 y (-.f64 x z) z) |
Compiled 369 to 195 computations (47.2% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 32 | 0 | 32 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 32 | 9 | 41 |
| Status | Error | Program |
|---|---|---|
| ✓ | 41.3b | (*.f64 y x) |
| 35.7b | z | |
| ✓ | 0.0b | (fma.f64 (-.f64 1 y) z (*.f64 x y)) |
| ✓ | 22.2b | (-.f64 z (*.f64 z y)) |
| ✓ | 22.2b | (*.f64 z (-.f64 1 y)) |
| ✓ | 49.2b | (*.f64 z (neg.f64 y)) |
| ✓ | 0.0b | (+.f64 (*.f64 y (-.f64 x z)) z) |
| ✓ | 22.2b | (fma.f64 z (neg.f64 y) z) |
| ✓ | 27.4b | (*.f64 y (-.f64 x z)) |
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 |
|---|---|---|
| ✓ | 41.3b | (*.f64 y x) |
| 35.7b | z | |
| ✓ | 0.0b | (fma.f64 (-.f64 1 y) z (*.f64 x y)) |
| ✓ | 22.2b | (-.f64 z (*.f64 z y)) |
| ✓ | 22.2b | (*.f64 z (-.f64 1 y)) |
| ✓ | 49.2b | (*.f64 z (neg.f64 y)) |
| ✓ | 0.0b | (+.f64 (*.f64 y (-.f64 x z)) z) |
| ✓ | 22.2b | (fma.f64 z (neg.f64 y) z) |
| ✓ | 27.4b | (*.f64 y (-.f64 x z)) |
Compiled 70 to 46 computations (34.3% saved)
| Inputs |
|---|
z |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (-.f64 x z)) |
(-.f64 z (*.f64 z y)) |
(*.f64 z (-.f64 1 y)) |
(+.f64 (*.f64 y (-.f64 x z)) z) |
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
(fma.f64 z (neg.f64 y) z) |
(fma.f64 y (-.f64 x z) z) |
(fma.f64 (-.f64 1 y) z (*.f64 x y)) |
| Outputs |
|---|
(fma.f64 y (-.f64 x z) z) |
4 calls:
| 11.0ms | x |
| 9.0ms | z |
| 8.0ms | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| 7.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
Compiled 86 to 41 computations (52.3% saved)
| Inputs |
|---|
z |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (-.f64 x z)) |
(-.f64 z (*.f64 z y)) |
(*.f64 z (-.f64 1 y)) |
(+.f64 (*.f64 y (-.f64 x z)) z) |
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
(fma.f64 z (neg.f64 y) z) |
| Outputs |
|---|
(+.f64 (*.f64 y (-.f64 x z)) z) |
4 calls:
| 9.0ms | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| 8.0ms | y |
| 7.0ms | x |
| 6.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | z |
| 0.0b | 1 | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
Compiled 72 to 37 computations (48.6% saved)
| Inputs |
|---|
z |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (-.f64 x z)) |
(-.f64 z (*.f64 z y)) |
(*.f64 z (-.f64 1 y)) |
| Outputs |
|---|
(*.f64 y (-.f64 x z)) |
(-.f64 z (*.f64 z y)) |
(*.f64 y (-.f64 x z)) |
3 calls:
| 33.0ms | x |
| 18.0ms | y |
| 16.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 14.0b | 5 | x |
| 10.4b | 3 | y |
| 10.5b | 3 | z |
Compiled 39 to 22 computations (43.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 3.378159332664845e-7 | 591870.4358105981 |
| 34.0ms | -882125849217.4412 | -44673908.560248196 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
z |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (-.f64 x z)) |
| Outputs |
|---|
(*.f64 y (-.f64 x z)) |
z |
(*.f64 y (-.f64 x z)) |
3 calls:
| 74.0ms | x |
| 29.0ms | y |
| 20.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 20.4b | 7 | x |
| 11.2b | 3 | y |
| 17.8b | 3 | z |
Compiled 29 to 17 computations (41.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 3.7493898853136473e-34 | 1.7533543132041518e-9 |
| 30.0ms | -4.959190034096369e-33 | -1.1316090172441405e-33 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
z |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 y)) |
| Outputs |
|---|
(*.f64 z (neg.f64 y)) |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 y)) |
(*.f64 y x) |
3 calls:
| 21.0ms | x |
| 18.0ms | y |
| 15.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 27.7b | 5 | x |
| 19.9b | 5 | y |
| 23.2b | 4 | z |
Compiled 24 to 15 computations (37.5% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 8.16167389917705e+286 | 1.111250601546845e+297 |
| 24.0ms | 9.408585481298476e+177 | 1.1843107818866128e+186 |
| 17.0ms | 3.4801322187577955e-35 | 3.675443895890066e-34 |
| 19.0ms | -63.28058543277799 | -0.17178827262170615 |
Compiled 303 to 222 computations (26.7% saved)
| Inputs |
|---|
z |
z |
(*.f64 y x) |
| Outputs |
|---|
z |
(*.f64 y x) |
z |
3 calls:
| 19.0ms | x |
| 10.0ms | z |
| 9.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 27.7b | 5 | x |
| 24.9b | 3 | y |
| 24.4b | 3 | z |
Compiled 20 to 13 computations (35% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 1.4554624719005206e-20 | 2.0694753977958858e-20 |
| 18.0ms | -3.409666080001739e-99 | -1.3235643056631325e-102 |
Compiled 18 to 13 computations (27.8% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
| Inputs |
|---|
z |
z |
| Outputs |
|---|
z |
3 calls:
| 4.0ms | y |
| 3.0ms | z |
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 35.7b | 1 | x |
| 35.7b | 1 | y |
| 35.7b | 1 | z |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
| 7× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 142 |
| 1 | 60 | 142 |
| 2 | 69 | 142 |
| 3 | 74 | 142 |
| 4 | 76 | 142 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y (-.f64 x z)) z) |
(if (<=.f64 y -3613187478394639/4096) (*.f64 y (-.f64 x z)) (if (<=.f64 y 6381162562547901/18889465931478580854784) (-.f64 z (*.f64 z y)) (*.f64 y (-.f64 x z)))) |
(if (<=.f64 y -7247864354666940/1461501637330902918203684832716283019655932542976) (*.f64 y (-.f64 x z)) (if (<=.f64 y 8767583130204515/23384026197294446691258957323460528314494920687616) z (*.f64 y (-.f64 x z)))) |
(if (<=.f64 y -8905950655463931/140737488355328) (*.f64 z (neg.f64 y)) (if (<=.f64 y 6510360237878459/187072209578355573530071658587684226515959365500928) z (if (<=.f64 y 9499999999999999958292469906126129398435489224390415315674176184922162770925364207209399308764920296904406072129182710947368855573670467159153756403246776727204240003295076155392) (*.f64 y x) (if (<=.f64 y 1099999999999999961331483621618616795263050324811360624396035825711623249390092512846981524843521553378566995106033907437375779788570877392794759387462898191571555427660831868497097821909290698094233960865724004760016379431013398637126537805445619777600300254468764956809627429627271678385971003392) (*.f64 z (neg.f64 y)) (*.f64 y x))))) |
(if (<=.f64 z -134347684011864592/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) z (if (<=.f64 z 4952682149029090304/340282366920938463463374607431768211456) (*.f64 y x) z)) |
z |
| Outputs |
|---|
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y (-.f64 x z)) z) |
(+.f64 z (*.f64 y (-.f64 x z))) |
(if (<=.f64 y -3613187478394639/4096) (*.f64 y (-.f64 x z)) (if (<=.f64 y 6381162562547901/18889465931478580854784) (-.f64 z (*.f64 z y)) (*.f64 y (-.f64 x z)))) |
(if (<=.f64 y -3613187478394639/4096) (*.f64 y (-.f64 x z)) (if (<=.f64 y 6381162562547901/18889465931478580854784) (-.f64 z (*.f64 y z)) (*.f64 y (-.f64 x z)))) |
(if (<=.f64 y -7247864354666940/1461501637330902918203684832716283019655932542976) (*.f64 y (-.f64 x z)) (if (<=.f64 y 8767583130204515/23384026197294446691258957323460528314494920687616) z (*.f64 y (-.f64 x z)))) |
(if (<=.f64 y -1811966088666735/365375409332725729550921208179070754913983135744) (*.f64 y (-.f64 x z)) (if (<=.f64 y 8767583130204515/23384026197294446691258957323460528314494920687616) z (*.f64 y (-.f64 x z)))) |
(if (<=.f64 y -8905950655463931/140737488355328) (*.f64 z (neg.f64 y)) (if (<=.f64 y 6510360237878459/187072209578355573530071658587684226515959365500928) z (if (<=.f64 y 9499999999999999958292469906126129398435489224390415315674176184922162770925364207209399308764920296904406072129182710947368855573670467159153756403246776727204240003295076155392) (*.f64 y x) (if (<=.f64 y 1099999999999999961331483621618616795263050324811360624396035825711623249390092512846981524843521553378566995106033907437375779788570877392794759387462898191571555427660831868497097821909290698094233960865724004760016379431013398637126537805445619777600300254468764956809627429627271678385971003392) (*.f64 z (neg.f64 y)) (*.f64 y x))))) |
(if (<=.f64 y -8905950655463931/140737488355328) (*.f64 y (neg.f64 z)) (if (<=.f64 y 6510360237878459/187072209578355573530071658587684226515959365500928) z (if (<=.f64 y 9499999999999999958292469906126129398435489224390415315674176184922162770925364207209399308764920296904406072129182710947368855573670467159153756403246776727204240003295076155392) (*.f64 y x) (if (<=.f64 y 1099999999999999961331483621618616795263050324811360624396035825711623249390092512846981524843521553378566995106033907437375779788570877392794759387462898191571555427660831868497097821909290698094233960865724004760016379431013398637126537805445619777600300254468764956809627429627271678385971003392) (*.f64 y (neg.f64 z)) (*.f64 y x))))) |
(if (<=.f64 z -134347684011864592/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) z (if (<=.f64 z 4952682149029090304/340282366920938463463374607431768211456) (*.f64 y x) z)) |
(if (<=.f64 z -8396730250741537/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176) z (if (<=.f64 z 4836603661161221/332306998946228968225951765070086144) (*.f64 y x) z)) |
z |
Compiled 121 to 66 computations (45.5% saved)
| 1× | egg-herbie |
| 354× | fma-def_binary64 |
| 246× | fma-neg_binary64 |
| 54× | cancel-sign-sub-inv_binary64 |
| 44× | 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 | 347 | 8 |
| 7 | 558 | 8 |
| 8 | 969 | 8 |
| 9 | 1154 | 8 |
| 10 | 1214 | 8 |
| 11 | 1224 | 8 |
| 1× | saturated |
Compiled 184 to 118 computations (35.9% saved)
Compiled 103 to 42 computations (59.2% saved)
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