Time bar (total: 6.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 8 |
| 25.8% | 25% | 71.8% | 0.1% | 3.1% | 0% | 0% | 9 |
| 36.4% | 34.3% | 60.1% | 0.1% | 5.5% | 0% | 0% | 10 |
| 43% | 40.6% | 53.8% | 0.1% | 5.5% | 0% | 0% | 11 |
| 51.5% | 46.8% | 44.1% | 0.1% | 9% | 0% | 0% | 12 |
Compiled 13 to 9 computations (30.8% saved)
| 2.3s | 8256× | body | 256 | valid |
| 264.0ms | 1254× | body | 256 | infinite |
| 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 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| ✓ | 0.0b | (*.f64 z (-.f64 1 y)) |
Compiled 27 to 14 computations (48.1% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| 1.0ms | z | @ | 0 | (*.f64 z (-.f64 1 y)) |
| 1.0ms | y | @ | -inf | (*.f64 z (-.f64 1 y)) |
| 1.0ms | y | @ | inf | (*.f64 z (-.f64 1 y)) |
| 1.0ms | z | @ | -inf | (*.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 z (-.f64 1 y)) |
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| Outputs |
|---|
((#(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 z) (-.f64 1 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (-.f64 1 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (-.f64 1 y)))))))) (#(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) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) z) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 1 (*.f64 y y))) (+.f64 1 y))))) (#(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 z) (-.f64 1 y)))))) (#(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 (log.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 3)) 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) (cbrt.f64 (*.f64 z z)) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 z z)) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z z)) (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))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (-.f64 1 y) (*.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))) (/.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2) (-.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (-.f64 1 y) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (-.f64 1 y) (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 y x))) (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 y x))) 2) (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 y x))) (sqrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(pow.f64 (cbrt.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 y x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 y x))))) (sqrt.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (-.f64 1 y) (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (-.f64 1 y) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (-.f64 1 y) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (-.f64 1 y)))) (pow.f64 (exp.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 z) (-.f64 1 y)) (+.f64 1 (expm1.f64 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (-.f64 1 y)))) (+.f64 1 (expm1.f64 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y x))) (pow.f64 (exp.f64 z) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 (*.f64 z (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y x))) (+.f64 1 (expm1.f64 (*.f64 z (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (-.f64 1 y) (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (-.f64 1 y) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (-.f64 1 y) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 y x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 y x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 y x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (-.f64 1 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (-.f64 1 y)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (*.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 y) z (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (-.f64 1 y)) 1 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y x) 1 (*.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (*.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (*.f64 (cbrt.f64 (-.f64 1 y)) z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) (-.f64 1 y)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z (-.f64 1 y))) (pow.f64 (cbrt.f64 (*.f64 z (-.f64 1 y))) 2) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (-.f64 1 y))) 2) (cbrt.f64 (*.f64 z (-.f64 1 y))) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (*.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (*.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.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 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (-.f64 1 y)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (-.f64 1 y))) (sqrt.f64 (*.f64 z (-.f64 1 y))) (*.f64 y x))))) (#(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 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (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 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 z (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (-.f64 1 y)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 y x)))))) |
| 1× | egg-herbie |
| 315× | fma-def_binary64 |
| 253× | fma-neg_binary64 |
| 47× | cancel-sign-sub-inv_binary64 |
| 46× | unsub-neg_binary64 |
| 38× | sub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 435 |
| 1 | 63 | 340 |
| 2 | 133 | 340 |
| 3 | 253 | 340 |
| 4 | 512 | 340 |
| 5 | 861 | 340 |
| 6 | 1124 | 340 |
| 7 | 1191 | 340 |
| 8 | 1193 | 340 |
| 1× | saturated |
| Inputs |
|---|
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) |
(*.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))) |
| Outputs |
|---|
z |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(fma.f64 -1 (*.f64 z y) z) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(fma.f64 -1 (*.f64 z y) z) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(fma.f64 -1 (*.f64 z y) z) |
(-.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) |
(fma.f64 -1 (*.f64 z y) z) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(fma.f64 -1 (*.f64 z y) z) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(fma.f64 -1 (*.f64 z y) z) |
(-.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) |
(fma.f64 -1 (*.f64 z y) z) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(fma.f64 -1 (*.f64 z y) z) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(fma.f64 -1 (*.f64 z y) z) |
(-.f64 z (*.f64 z y)) |
(*.f64 z (-.f64 1 y)) |
(fma.f64 -1 (*.f64 z y) z) |
(-.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)) |
(fma.f64 -1 (*.f64 z y) z) |
(-.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)) |
(fma.f64 -1 (*.f64 z y) z) |
(-.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) |
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 | z | @ | 0 | (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 2298 to 1120 computations (51.3% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 163 | 6 | 169 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 164 | 7 | 171 |
| Status | Error | Program |
|---|---|---|
| ▶ | 11.4b | (+.f64 (*.f64 x y) z) |
| ▶ | 0.0b | (+.f64 (*.f64 y (-.f64 x z)) z) |
| ✓ | 0.0b | (fma.f64 y (-.f64 x z) z) |
| 35.1b | z | |
| ▶ | 25.1b | (*.f64 z (-.f64 1 y)) |
| ▶ | 28.6b | (*.f64 y (-.f64 x z)) |
| ▶ | 39.4b | (*.f64 y x) |
Compiled 93 to 60 computations (35.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 y (-.f64 x z)) z) |
| ✓ | 0.0b | (*.f64 y (-.f64 x z)) |
Compiled 21 to 6 computations (71.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 y (-.f64 x z)) |
| 1.0ms | y | @ | inf | (*.f64 y (-.f64 x z)) |
| 1.0ms | y | @ | 0 | (*.f64 y (-.f64 x z)) |
| 1.0ms | y | @ | inf | (+.f64 (*.f64 y (-.f64 x z)) z) |
| 1.0ms | y | @ | -inf | (*.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 y (-.f64 x z)) |
(+.f64 (*.f64 y (-.f64 x z)) z) |
| Outputs |
|---|
((#(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)))))))) |
((#(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))))))) |
| 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 | 483 |
| 1 | 62 | 384 |
| 2 | 119 | 348 |
| 3 | 203 | 348 |
| 4 | 375 | 348 |
| 5 | 771 | 348 |
| 6 | 1119 | 348 |
| 7 | 1406 | 348 |
| 8 | 1438 | 348 |
| 9 | 1440 | 348 |
| 1× | saturated |
| Inputs |
|---|
(*.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))) |
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)))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 y z)) |
(*.f64 (neg.f64 y) z) |
(*.f64 z (neg.f64 y)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (*.f64 (neg.f64 y) z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (*.f64 (neg.f64 y) z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (*.f64 (neg.f64 y) z)) |
(*.f64 y (-.f64 x z)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (*.f64 (neg.f64 y) z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (*.f64 (neg.f64 y) z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (*.f64 (neg.f64 y) z)) |
(*.f64 y (-.f64 x z)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (*.f64 (neg.f64 y) z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (*.f64 (neg.f64 y) z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (*.f64 (neg.f64 y) z)) |
(*.f64 y (-.f64 x z)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (*.f64 (neg.f64 y) z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (*.f64 (neg.f64 y) z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (*.f64 (neg.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))) |
(fma.f64 y x (*.f64 (neg.f64 y) z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (*.f64 (neg.f64 y) z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (*.f64 (neg.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))) |
(fma.f64 y x (*.f64 (neg.f64 y) z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (*.f64 (neg.f64 y) z)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (*.f64 (neg.f64 y) z)) |
(*.f64 y (-.f64 x z)) |
z |
(*.f64 y (-.f64 x z)) |
(fma.f64 y x (*.f64 (neg.f64 y) z)) |
(*.f64 y (-.f64 x z)) |
(fma.f64 y x (*.f64 (neg.f64 y) z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(fma.f64 -1 (*.f64 y z) z) |
(-.f64 z (*.f64 y z)) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 y z)) z)) |
(fma.f64 -1 (*.f64 y z) (fma.f64 y x 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 -1 (*.f64 y z) (fma.f64 y x 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 -1 (*.f64 y z) (fma.f64 y x 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 -1 (*.f64 y z) (fma.f64 y x 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 -1 (*.f64 y z) (fma.f64 y x 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 -1 (*.f64 y z) (fma.f64 y x 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 -1 (*.f64 y z) (fma.f64 y x 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 -1 (*.f64 y z) (fma.f64 y x 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 -1 (*.f64 y z) (fma.f64 y x 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 -1 (*.f64 y z) (fma.f64 y x 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 -1 (*.f64 y z) (fma.f64 y x 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 -1 (*.f64 y z) (fma.f64 y x 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 y z) z) |
(-.f64 z (*.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 (+.f64 1 (*.f64 -1 y)) z)) |
(fma.f64 -1 (*.f64 y z) (fma.f64 y x 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 -1 (*.f64 y z) (fma.f64 y x 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 -1 (*.f64 y z) (fma.f64 y x 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 y z) z) |
(-.f64 z (*.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z (-.f64 y 1)))) |
(fma.f64 -1 (*.f64 y z) (fma.f64 y x 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 -1 (*.f64 y z) (fma.f64 y x 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 -1 (*.f64 y z) (fma.f64 y x z)) |
(+.f64 z (*.f64 y (-.f64 x z))) |
(fma.f64 y (-.f64 x z) 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 (*.f64 x y) z) |
Compiled 14 to 5 computations (64.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 x y) z) |
| 0.0ms | y | @ | -inf | (+.f64 (*.f64 x y) z) |
| 0.0ms | z | @ | -inf | (+.f64 (*.f64 x y) z) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 x y) z) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 x y) z) |
| 1× | batch-egg-rewrite |
| 707× | pow1_binary64 |
| 655× | add-log-exp_binary64 |
| 655× | log1p-expm1-u_binary64 |
| 655× | expm1-log1p-u_binary64 |
| 640× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 5 |
| 1 | 129 | 5 |
| 2 | 1775 | 5 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x y) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x y z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (cbrt.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z)) (/.f64 1 (-.f64 (*.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y)))) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x y) z) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z)) (-.f64 (*.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 z 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z (-.f64 z (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 z z))) (neg.f64 (-.f64 (*.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 x y) 2)) (-.f64 z (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x y z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x y z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x y z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x y z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x y z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) z))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 159 |
| 1 | 9 | 159 |
| 2 | 10 | 159 |
| 1× | saturated |
| Inputs |
|---|
z |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
z |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
z |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
z |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
(+.f64 (*.f64 y x) z) |
| Outputs |
|---|
z |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
z |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
z |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
z |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
(+.f64 (*.f64 y x) z) |
(fma.f64 y x z) |
Compiled 1944 to 738 computations (62% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 177 | 4 | 181 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 3 | 5 |
| Total | 180 | 8 | 188 |
| Status | Error | Program |
|---|---|---|
| 35.1b | z | |
| ▶ | 52.6b | (*.f64 z (neg.f64 y)) |
| ✓ | 11.4b | (+.f64 (*.f64 x y) z) |
| ▶ | 25.1b | (-.f64 z (*.f64 z y)) |
| ✓ | 0.0b | (+.f64 (*.f64 y (-.f64 x z)) z) |
| ▶ | 11.4b | (fma.f64 y x z) |
| ✓ | 28.6b | (*.f64 y (-.f64 x z)) |
| ✓ | 39.4b | (*.f64 y x) |
Compiled 58 to 37 computations (36.2% saved)
Compiled 11 to 5 computations (54.5% 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 | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (-.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 | @ | 0 | (-.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 10 to 4 computations (60% saved)
Compiled 524 to 162 computations (69.1% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 43 | 1 | 44 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 44 | 8 | 52 |
| Status | Error | Program |
|---|---|---|
| ✓ | 11.4b | (+.f64 (*.f64 x y) z) |
| ✓ | 25.1b | (-.f64 z (*.f64 z y)) |
| ✓ | 0.0b | (+.f64 (*.f64 y (-.f64 x z)) z) |
| ✓ | 11.4b | (fma.f64 y x z) |
| ✓ | 52.6b | (*.f64 z (neg.f64 y)) |
| ✓ | 28.6b | (*.f64 y (-.f64 x z)) |
| ✓ | 39.4b | (*.f64 y x) |
| 35.1b | z |
Compiled 58 to 37 computations (36.2% saved)
Compiled 3 to 3 computations (0% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 7 | 7 |
| Total | 0 | 8 | 8 |
| Status | Error | Program |
|---|---|---|
| ✓ | 11.4b | (+.f64 (*.f64 x y) z) |
| ✓ | 25.1b | (-.f64 z (*.f64 z y)) |
| ✓ | 0.0b | (+.f64 (*.f64 y (-.f64 x z)) z) |
| ✓ | 11.4b | (fma.f64 y x z) |
| ✓ | 52.6b | (*.f64 z (neg.f64 y)) |
| ✓ | 28.6b | (*.f64 y (-.f64 x z)) |
| ✓ | 39.4b | (*.f64 y x) |
| 35.1b | z |
Compiled 58 to 37 computations (36.2% saved)
| Inputs |
|---|
z |
z |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 y)) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 x y) z) |
(*.f64 z (-.f64 1 y)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y (-.f64 x z)) z) |
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
(fma.f64 y x z) |
(fma.f64 y (-.f64 x z) z) |
| Outputs |
|---|
(fma.f64 y (-.f64 x z) z) |
4 calls:
| 37.0ms | z |
| 8.0ms | y |
| 7.0ms | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| 7.0ms | x |
| 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 83 to 39 computations (53% saved)
| Inputs |
|---|
z |
z |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 y)) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 x y) z) |
(*.f64 z (-.f64 1 y)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y (-.f64 x z)) z) |
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
(fma.f64 y x z) |
| Outputs |
|---|
(+.f64 (*.f64 y (-.f64 x z)) z) |
4 calls:
| 155.0ms | y |
| 8.0ms | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| 7.0ms | x |
| 7.0ms | 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 77 to 38 computations (50.6% saved)
| Inputs |
|---|
z |
z |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 y)) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 x y) z) |
(*.f64 z (-.f64 1 y)) |
(*.f64 y (-.f64 x z)) |
| Outputs |
|---|
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 x y) z) |
(*.f64 y (-.f64 x z)) |
3 calls:
| 161.0ms | x |
| 47.0ms | y |
| 27.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 4.4b | 4 | x |
| 0.9b | 3 | y |
| 6.1b | 5 | z |
Compiled 45 to 24 computations (46.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 7.394625807736398e-6 | 60.380110151355574 |
| 19.0ms | -1008053799296313000.0 | -970.2538576584302 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
z |
z |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 y)) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 x y) z) |
(*.f64 z (-.f64 1 y)) |
| Outputs |
|---|
(+.f64 (*.f64 x y) z) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 x y) z) |
3 calls:
| 32.0ms | y |
| 27.0ms | z |
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 5.5b | 3 | x |
| 5.9b | 6 | y |
| 6.8b | 5 | z |
Compiled 40 to 22 computations (45% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 7.05853018632126e-112 | 2.5465681195641554e-78 |
| 19.0ms | -1.581045283652413e-142 | -7.036079059853036e-155 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
z |
z |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 y)) |
(-.f64 z (*.f64 z y)) |
| Outputs |
|---|
(-.f64 z (*.f64 z y)) |
(*.f64 y x) |
(-.f64 z (*.f64 z y)) |
3 calls:
| 32.0ms | x |
| 27.0ms | y |
| 14.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 15.4b | 7 | x |
| 18.8b | 6 | y |
| 15.0b | 3 | z |
Compiled 30 to 17 computations (43.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 7.415145446512961e-97 | 2.9951634240761165e-95 |
| 19.0ms | -1.5922016899375404e-155 | -4.5013196515518995e-156 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
z |
z |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 y)) |
| Outputs |
|---|
z |
(*.f64 z (neg.f64 y)) |
z |
(*.f64 y x) |
z |
(*.f64 y x) |
z |
(*.f64 z (neg.f64 y)) |
z |
3 calls:
| 297.0ms | x |
| 36.0ms | z |
| 23.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 23.3b | 9 | x |
| 19.7b | 6 | y |
| 19.2b | 9 | z |
Compiled 25 to 15 computations (40% saved)
| 8× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 9.153143184266673e+52 | 4.796394253805287e+57 |
| 24.0ms | 1180559.3342415742 | 11261915.17130404 |
| 18.0ms | 1.2529575892409377e-60 | 3.4021924756802966e-59 |
| 20.0ms | -1.5922016899375404e-155 | -4.5013196515518995e-156 |
| 19.0ms | -8.085729908717115e-44 | -1.3429735302634337e-44 |
| 21.0ms | -8.273249286942834e-22 | -5.6537615973449635e-27 |
| 20.0ms | -2.2000273980027036e+41 | -4.775349215540385e+36 |
| 19.0ms | -3.9599736633901224e+67 | -2.0733192461624002e+64 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
z |
z |
z |
(*.f64 y x) |
| Outputs |
|---|
z |
(*.f64 y x) |
z |
(*.f64 y x) |
z |
3 calls:
| 69.0ms | x |
| 30.0ms | z |
| 24.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 23.3b | 9 | x |
| 24.0b | 3 | y |
| 22.0b | 5 | z |
Compiled 21 to 13 computations (38.1% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 1.2529575892409377e-60 | 3.4021924756802966e-59 |
| 36.0ms | -1.5922016899375404e-155 | -4.5013196515518995e-156 |
| 36.0ms | -8.085729908717115e-44 | -1.3429735302634337e-44 |
| 35.0ms | -8.273249286942834e-22 | -5.6537615973449635e-27 |
Compiled 18 to 13 computations (27.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0.0b (-0%)
| Inputs |
|---|
z |
z |
z |
| Outputs |
|---|
z |
3 calls:
| 11.0ms | y |
| 8.0ms | x |
| 8.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 35.1b | 1 | x |
| 35.1b | 1 | y |
| 35.1b | 1 | z |
Compiled 18 to 12 computations (33.3% 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 | 60 | 223 |
| 1 | 77 | 223 |
| 2 | 86 | 223 |
| 3 | 91 | 223 |
| 4 | 93 | 223 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y (-.f64 x z)) z) |
(if (<=.f64 y -1008053799296312960) (*.f64 y (-.f64 x z)) (if (<=.f64 y 8730033266954311/1180591620717411303424) (+.f64 (*.f64 x y) z) (*.f64 y (-.f64 x z)))) |
(if (<=.f64 x -8682844771022097/54918381281044877719855206392651145738155482401146443275155707673484345467181248416980477125291636439818370491131846864296975903997733150500592226328920457216) (+.f64 (*.f64 x y) z) (if (<=.f64 x 3822455611845685/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (-.f64 z (*.f64 z y)) (+.f64 (*.f64 x y) z))) |
(if (<=.f64 z -3845701984359447/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) (-.f64 z (*.f64 z y)) (if (<=.f64 z 1783273967472351/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (*.f64 y x) (-.f64 z (*.f64 z y)))) |
(if (<=.f64 z -39599736633901223835764579547151194522464017529606942786699315380224) z (if (<=.f64 z -220002739800270362650759223828316946432000) (*.f64 z (neg.f64 y)) (if (<=.f64 z -4398813827324803/5316911983139663491615228241121378304) z (if (<=.f64 z -4060395939350095/50216813883093446110686315385661331328818843555712276103168) (*.f64 y x) (if (<=.f64 z -3845701984359447/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) z (if (<=.f64 z 2266915265374363/1809251394333065553493296640760748560207343510400633813116524750123642650624) (*.f64 y x) (if (<=.f64 z 2535231865777547/2147483648) z (if (<=.f64 z 91531431842666733795260958000694135856687946601070592) (*.f64 z (neg.f64 y)) z)))))))) |
(if (<=.f64 z -4398813827324803/5316911983139663491615228241121378304) z (if (<=.f64 z -4060395939350095/50216813883093446110686315385661331328818843555712276103168) (*.f64 y x) (if (<=.f64 z -3845701984359447/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) z (if (<=.f64 z 2266915265374363/1809251394333065553493296640760748560207343510400633813116524750123642650624) (*.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 -1008053799296312960) (*.f64 y (-.f64 x z)) (if (<=.f64 y 8730033266954311/1180591620717411303424) (+.f64 (*.f64 x y) z) (*.f64 y (-.f64 x z)))) |
(if (<=.f64 y -1008053799296312960) (*.f64 y (-.f64 x z)) (if (<=.f64 y 8730033266954311/1180591620717411303424) (+.f64 z (*.f64 y x)) (*.f64 y (-.f64 x z)))) |
(if (<=.f64 x -8682844771022097/54918381281044877719855206392651145738155482401146443275155707673484345467181248416980477125291636439818370491131846864296975903997733150500592226328920457216) (+.f64 (*.f64 x y) z) (if (<=.f64 x 3822455611845685/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (-.f64 z (*.f64 z y)) (+.f64 (*.f64 x y) z))) |
(if (<=.f64 x -8682844771022097/54918381281044877719855206392651145738155482401146443275155707673484345467181248416980477125291636439818370491131846864296975903997733150500592226328920457216) (+.f64 z (*.f64 y x)) (if (<=.f64 x 3822455611845685/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (-.f64 z (*.f64 y z)) (+.f64 z (*.f64 y x)))) |
(if (<=.f64 z -3845701984359447/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) (-.f64 z (*.f64 z y)) (if (<=.f64 z 1783273967472351/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (*.f64 y x) (-.f64 z (*.f64 z y)))) |
(if (<=.f64 z -3845701984359447/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) (-.f64 z (*.f64 y z)) (if (<=.f64 z 1783273967472351/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424) (*.f64 y x) (-.f64 z (*.f64 y z)))) |
(if (<=.f64 z -39599736633901223835764579547151194522464017529606942786699315380224) z (if (<=.f64 z -220002739800270362650759223828316946432000) (*.f64 z (neg.f64 y)) (if (<=.f64 z -4398813827324803/5316911983139663491615228241121378304) z (if (<=.f64 z -4060395939350095/50216813883093446110686315385661331328818843555712276103168) (*.f64 y x) (if (<=.f64 z -3845701984359447/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) z (if (<=.f64 z 2266915265374363/1809251394333065553493296640760748560207343510400633813116524750123642650624) (*.f64 y x) (if (<=.f64 z 2535231865777547/2147483648) z (if (<=.f64 z 91531431842666733795260958000694135856687946601070592) (*.f64 z (neg.f64 y)) z)))))))) |
(if (<=.f64 z -39599736633901223835764579547151194522464017529606942786699315380224) z (if (<=.f64 z -220002739800270362650759223828316946432000) (*.f64 y (neg.f64 z)) (if (<=.f64 z -4398813827324803/5316911983139663491615228241121378304) z (if (<=.f64 z -4060395939350095/50216813883093446110686315385661331328818843555712276103168) (*.f64 y x) (if (<=.f64 z -3845701984359447/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) z (if (<=.f64 z 2266915265374363/1809251394333065553493296640760748560207343510400633813116524750123642650624) (*.f64 y x) (if (<=.f64 z 2535231865777547/2147483648) z (if (<=.f64 z 91531431842666733795260958000694135856687946601070592) (*.f64 y (neg.f64 z)) z)))))))) |
(if (<=.f64 z -4398813827324803/5316911983139663491615228241121378304) z (if (<=.f64 z -4060395939350095/50216813883093446110686315385661331328818843555712276103168) (*.f64 y x) (if (<=.f64 z -3845701984359447/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464) z (if (<=.f64 z 2266915265374363/1809251394333065553493296640760748560207343510400633813116524750123642650624) (*.f64 y x) z)))) |
z |
Compiled 181 to 98 computations (45.9% 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 160 to 67 computations (58.1% saved)
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