Time bar (total: 2.4s)
| 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)
| 792.0ms | 8256× | body | 256 | valid |
| 109.0ms | 1146× | 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 49 to 23 computations (53.1% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 | 2 | 6 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 4 | 3 | 7 |
| Status | Error | Program |
|---|---|---|
| ▶ | 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 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
Compiled 27 to 14 computations (48.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | 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))) |
| 0.0ms | y | @ | -inf | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| 0.0ms | z | @ | -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 | 11 |
| 1 | 192 | 11 |
| 2 | 2623 | 11 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))) (/.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2) (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (-.f64 1 y) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 2) (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) (sqrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2)) (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3)) (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3)) (+.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2)) (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3))) (neg.f64 (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) 2)) (cbrt.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))) (sqrt.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (pow.f64 (exp.f64 (-.f64 1 y)) z)))))) (#(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 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 z (-.f64 1 y)))) (pow.f64 (exp.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 y)) z) (+.f64 1 (expm1.f64 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (-.f64 1 y)))) (+.f64 1 (expm1.f64 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 1) 1))))) (#(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 y x (*.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x y) 1 (*.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (-.f64 1 y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) (*.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (-.f64 1 y)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 y) z (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (-.f64 1 y)) 1 (*.f64 x y))))) (#(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 x y))))) (#(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 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (-.f64 1 y)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.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 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (*.f64 (cbrt.f64 (-.f64 1 y)) z) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 z (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))) |
| 1× | egg-herbie |
| 579× | div-sub_binary64 |
| 561× | fma-neg_binary64 |
| 433× | fma-def_binary64 |
| 251× | distribute-rgt-in_binary64 |
| 232× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 196 | 1654 |
| 1 | 506 | 1634 |
| 2 | 1384 | 1367 |
| 3 | 5334 | 1367 |
| 1× | node limit |
| 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))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) 1) |
(-.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))) (/.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2) (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))))) |
(*.f64 1 (fma.f64 z (-.f64 1 y) (*.f64 x y))) |
(*.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)) 1) |
(*.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 2) (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) |
(*.f64 (sqrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) (sqrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2)) (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))))) |
(/.f64 1 (/.f64 (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3)))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3)) (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)) (pow.f64 (*.f64 x y) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3)) (+.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2)) (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3))) (neg.f64 (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2))) (neg.f64 (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y))) |
(pow.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)) 1) |
(pow.f64 (E.f64) (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) |
(pow.f64 (pow.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)) 2) 1/2) |
(pow.f64 (pow.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)) 3) 1/3) |
(pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 3) |
(pow.f64 (sqrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 2) |
(pow.f64 (/.f64 (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3))) -1) |
(pow.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2))) -1) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) 2)) (cbrt.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))) (sqrt.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))) |
(sqrt.f64 (pow.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)) 2)) |
(log.f64 (exp.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (pow.f64 (exp.f64 (-.f64 1 y)) z))) |
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 (*.f64 z (-.f64 1 y)))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (+.f64 1 (expm1.f64 (*.f64 z (-.f64 1 y)))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (-.f64 1 y)))) (pow.f64 (exp.f64 x) y))) |
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 y)) z) (+.f64 1 (expm1.f64 (*.f64 x y))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z (-.f64 1 y)))) (+.f64 1 (expm1.f64 (*.f64 x y))))) |
(cbrt.f64 (pow.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) |
(log1p.f64 (expm1.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) |
(exp.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 1)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) 3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) 2)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 1) 1)) |
(fma.f64 x y (*.f64 z (-.f64 1 y))) |
(fma.f64 y x (*.f64 z (-.f64 1 y))) |
(fma.f64 (*.f64 x y) 1 (*.f64 z (-.f64 1 y))) |
(fma.f64 z (-.f64 1 y) (*.f64 x y)) |
(fma.f64 1 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
(fma.f64 1 (*.f64 z (-.f64 1 y)) (*.f64 x y)) |
(fma.f64 (-.f64 1 y) z (*.f64 x y)) |
(fma.f64 (*.f64 z (-.f64 1 y)) 1 (*.f64 x y)) |
(fma.f64 (cbrt.f64 (*.f64 z (-.f64 1 y))) (pow.f64 (cbrt.f64 (*.f64 z (-.f64 1 y))) 2) (*.f64 x y)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (-.f64 1 y))) 2) (cbrt.f64 (*.f64 z (-.f64 1 y))) (*.f64 x y)) |
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (-.f64 1 y)) (*.f64 x y)) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) y) (*.f64 z (-.f64 1 y))) |
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (*.f64 z (-.f64 1 y))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2) (*.f64 (cbrt.f64 (-.f64 1 y)) z) (*.f64 x y)) |
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 z (-.f64 1 y))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (*.f64 z (-.f64 1 y))) |
(fma.f64 (sqrt.f64 (*.f64 z (-.f64 1 y))) (sqrt.f64 (*.f64 z (-.f64 1 y))) (*.f64 x y)) |
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (-.f64 1 y)) (*.f64 x y)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 z (-.f64 1 y))) |
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 z (-.f64 1 y))) |
(fma.f64 (sqrt.f64 (-.f64 1 y)) (*.f64 (sqrt.f64 (-.f64 1 y)) z) (*.f64 x y)) |
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (*.f64 z (-.f64 1 y))) |
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (cbrt.f64 (-.f64 1 y)) (*.f64 x y)) |
(fma.f64 (*.f64 z (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)) (*.f64 x y)) |
(fma.f64 (*.f64 (-.f64 1 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x y)) |
(fma.f64 (*.f64 (-.f64 1 y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y)) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 z (-.f64 1 y))) |
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 z (-.f64 1 y))) |
(fma.f64 (*.f64 y (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 z (-.f64 1 y))) |
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (-.f64 1 y))) |
| Outputs |
|---|
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
z |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(fma.f64 z (-.f64 1 y) (*.f64 y 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))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 z (*.f64 y (+.f64 (*.f64 -1 z) x))) |
(fma.f64 z (-.f64 1 y) (*.f64 y 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) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 x) z))) z) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 z (-.f64 1 y) (*.f64 y 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))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 z (-.f64 1 y) (*.f64 y 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))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 y x) (*.f64 z (-.f64 1 y))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) 1) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(-.f64 (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))) (/.f64 (pow.f64 (*.f64 z (-.f64 1 y)) 2) (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2)) (-.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (-.f64 z (*.f64 z y)) 2)) (fma.f64 (-.f64 1 y) (neg.f64 z) (*.f64 y x))) |
(/.f64 (-.f64 (pow.f64 (-.f64 z (*.f64 z y)) 2) (pow.f64 (*.f64 y x) 2)) (-.f64 (-.f64 z (*.f64 z y)) (*.f64 y x))) |
(*.f64 1 (fma.f64 z (-.f64 1 y) (*.f64 x y))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)) 1) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 2)) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) 2) (cbrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 (sqrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y))) (sqrt.f64 (fma.f64 z (-.f64 1 y) (*.f64 x y)))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(*.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 x y)) (pow.f64 (*.f64 x y) 2)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (-.f64 1 y)) (-.f64 (*.f64 z (-.f64 1 y)) (*.f64 y x)) (pow.f64 (*.f64 y x) 2)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 z (-.f64 1 y)) 3)) (fma.f64 (*.f64 z (-.f64 1 y)) (fma.f64 z (-.f64 1 y) (*.f64 y (neg.f64 x))) (pow.f64 (*.f64 y x) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (-.f64 z (*.f64 z y)) 3)) (fma.f64 (-.f64 z (*.f64 z y)) (-.f64 (-.f64 z (*.f64 z y)) (*.f64 y x)) (pow.f64 (*.f64 y x) 2))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2)) (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 z (-.f64 1 y)) 2)) (-.f64 (*.f64 y x) (*.f64 z (-.f64 1 y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (-.f64 z (*.f64 z y)) 2)) (fma.f64 (-.f64 1 y) (neg.f64 z) (*.f64 y x))) |
(/.f64 (-.f64 (pow.f64 (-.f64 z (*.f64 z y)) 2) (pow.f64 (*.f64 y x) 2)) (-.f64 (-.f64 z (*.f64 z y)) (*.f64 y x))) |
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(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(fma.f64 (*.f64 z (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)) (*.f64 x y)) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(fma.f64 (*.f64 (-.f64 1 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x y)) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(fma.f64 (*.f64 (-.f64 1 y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x y)) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 z (-.f64 1 y))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 z (-.f64 1 y))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
(fma.f64 (*.f64 y (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 z (-.f64 1 y))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 y (cbrt.f64 x)) (*.f64 z (-.f64 1 y))) |
(fma.f64 y (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)) (-.f64 z (*.f64 z y))) |
(fma.f64 z (-.f64 1 y) (*.f64 (cbrt.f64 x) (*.f64 y (cbrt.f64 (*.f64 x x))))) |
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (-.f64 1 y))) |
(fma.f64 z (-.f64 1 y) (*.f64 y x)) |
(fma.f64 y (-.f64 x z) z) |
Compiled 15 to 5 computations (66.7% saved)
Compiled 1600 to 837 computations (47.7% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 97 | 4 | 101 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 98 | 5 | 103 |
| Status | Error | Program |
|---|---|---|
| ▶ | 24.6b | (-.f64 z (*.f64 z y)) |
| ✓ | 0.0b | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| ▶ | 27.8b | (*.f64 y (-.f64 x z)) |
| ▶ | 37.9b | (*.f64 y x) |
| 35.0b | z |
Compiled 38 to 25 computations (34.2% saved)
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)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 y (-.f64 x z)) |
| 0.0ms | x | @ | -inf | (*.f64 y (-.f64 x z)) |
| 0.0ms | x | @ | inf | (*.f64 y (-.f64 x z)) |
| 0.0ms | y | @ | inf | (*.f64 y (-.f64 x z)) |
| 0.0ms | y | @ | -inf | (*.f64 y (-.f64 x z)) |
| 1× | batch-egg-rewrite |
| 725× | pow1_binary64 |
| 672× | add-log-exp_binary64 |
| 672× | log1p-expm1-u_binary64 |
| 672× | expm1-log1p-u_binary64 |
| 657× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 129 | 7 |
| 2 | 1784 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (-.f64 x 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 (pow.f64 (*.f64 y (-.f64 x z)) 3) 1/3)))) (#(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 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 cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 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 |
| 646× | log-prod_binary64 |
| 617× | fma-def_binary64 |
| 369× | associate-*l*_binary64 |
| 332× | associate-*r*_binary64 |
| 244× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 327 |
| 1 | 162 | 327 |
| 2 | 511 | 327 |
| 3 | 3091 | 327 |
| 4 | 6423 | 327 |
| 1× | node limit |
| 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))) |
(+.f64 (*.f64 x y) (*.f64 (neg.f64 z) y)) |
(+.f64 (*.f64 y x) (*.f64 y (neg.f64 z))) |
(-.f64 (+.f64 1 (*.f64 y (-.f64 x z))) 1) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (*.f64 z (+.f64 x z)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y) (+.f64 x z)) |
(/.f64 (*.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (fma.f64 x x (*.f64 z (+.f64 x z)))) |
(/.f64 (*.f64 y (-.f64 (*.f64 x x) (*.f64 z z))) (+.f64 x z)) |
(pow.f64 (*.f64 y (-.f64 x z)) 1) |
(pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 3) |
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) 2) |
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (-.f64 x z))) |
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x z) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3))) |
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z)))) |
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 x z)))) |
(exp.f64 (log.f64 (*.f64 y (-.f64 x z)))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 y z)) |
(*.f64 y (neg.f64 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 y (neg.f64 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 y (neg.f64 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 (*.f64 x y) (*.f64 (neg.f64 z) y)) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 y (neg.f64 z))) |
(*.f64 y (-.f64 x z)) |
(-.f64 (+.f64 1 (*.f64 y (-.f64 x z))) 1) |
(*.f64 y (-.f64 x z)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (*.f64 z (+.f64 x z)))) |
(/.f64 y (/.f64 (fma.f64 x x (*.f64 z (+.f64 z x))) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) |
(*.f64 (/.f64 y (fma.f64 x x (*.f64 z (+.f64 z x)))) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(*.f64 y (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 x (+.f64 z x))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (/.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y) (+.f64 x z)) |
(*.f64 y (-.f64 x z)) |
(/.f64 (*.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (fma.f64 x x (*.f64 z (+.f64 x z)))) |
(/.f64 y (/.f64 (fma.f64 x x (*.f64 z (+.f64 z x))) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) |
(*.f64 (/.f64 y (fma.f64 x x (*.f64 z (+.f64 z x)))) (-.f64 (pow.f64 x 3) (pow.f64 z 3))) |
(*.f64 y (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(*.f64 y (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 x (+.f64 z x))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) (/.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) y)) |
(/.f64 (*.f64 y (-.f64 (*.f64 x x) (*.f64 z z))) (+.f64 x z)) |
(*.f64 y (-.f64 x z)) |
(pow.f64 (*.f64 y (-.f64 x z)) 1) |
(*.f64 y (-.f64 x z)) |
(pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3) 1/3) |
(*.f64 y (-.f64 x z)) |
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 3) |
(*.f64 y (-.f64 x z)) |
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) 2) |
(*.f64 y (-.f64 x z)) |
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2)) |
(*.f64 y (-.f64 x z)) |
(log.f64 (pow.f64 (exp.f64 y) (-.f64 x z))) |
(*.f64 y (-.f64 x z)) |
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3)) |
(*.f64 y (-.f64 x z)) |
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x z) 3))) |
(*.f64 y (-.f64 x z)) |
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3))) |
(*.f64 y (-.f64 x z)) |
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z)))) |
(*.f64 y (-.f64 x z)) |
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 x z)))) |
(*.f64 y (-.f64 x z)) |
(exp.f64 (log.f64 (*.f64 y (-.f64 x z)))) |
(*.f64 y (-.f64 x z)) |
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 | z | @ | -inf | (-.f64 z (*.f64 z y)) |
| 0.0ms | z | @ | 0 | (-.f64 z (*.f64 z y)) |
| 0.0ms | z | @ | inf | (-.f64 z (*.f64 z y)) |
| 0.0ms | y | @ | 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 |
| 895× | fma-neg_binary64 |
| 524× | fma-def_binary64 |
| 320× | times-frac_binary64 |
| 215× | associate-/l*_binary64 |
| 181× | unswap-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 566 |
| 1 | 298 | 536 |
| 2 | 1156 | 536 |
| 3 | 5694 | 536 |
| 1× | node limit |
| 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) |
(+.f64 z (*.f64 z (neg.f64 y))) |
(+.f64 z (*.f64 (*.f64 z (neg.f64 y)) 1)) |
(+.f64 (-.f64 z (*.f64 z y)) (fma.f64 (neg.f64 y) z (*.f64 z y))) |
(+.f64 (-.f64 z (*.f64 z y)) (fma.f64 (neg.f64 z) y (*.f64 z y))) |
(+.f64 (-.f64 z (*.f64 z y)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 z y))) |
(+.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))) |
(+.f64 (-.f64 z (*.f64 z y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y)) (*.f64 z y))) |
(+.f64 (*.f64 z (neg.f64 y)) z) |
(*.f64 z (-.f64 1 y)) |
(*.f64 (-.f64 z (*.f64 z y)) 1) |
(*.f64 1 (-.f64 z (*.f64 z y))) |
(*.f64 (cbrt.f64 (-.f64 z (*.f64 z y))) (pow.f64 (cbrt.f64 (-.f64 z (*.f64 z y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 z (*.f64 z y))) 2) (cbrt.f64 (-.f64 z (*.f64 z y)))) |
(*.f64 (sqrt.f64 (-.f64 z (*.f64 z y))) (sqrt.f64 (-.f64 z (*.f64 z y)))) |
(*.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)))))) |
(*.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 z y) 2)) (/.f64 1 (+.f64 z (*.f64 z y)))) |
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z y))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z y)))) |
(/.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)))) |
(/.f64 1 (/.f64 (+.f64 z (*.f64 z y)) (-.f64 (*.f64 z z) (pow.f64 (*.f64 z y) 2)))) |
(/.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))))) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 z y) 2)) (+.f64 z (*.f64 z y))) |
(/.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)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 z y) 2))) (neg.f64 (+.f64 z (*.f64 z y)))) |
(/.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)))))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 z (*.f64 z (neg.f64 y)))) |
(pow.f64 (-.f64 z (*.f64 z y)) 1) |
(pow.f64 (pow.f64 (-.f64 z (*.f64 z y)) 3) 1/3) |
(pow.f64 (cbrt.f64 (-.f64 z (*.f64 z y))) 3) |
(pow.f64 (sqrt.f64 (-.f64 z (*.f64 z y))) 2) |
(sqrt.f64 (pow.f64 (-.f64 z (*.f64 z y)) 2)) |
(log.f64 (exp.f64 (-.f64 z (*.f64 z y)))) |
(cbrt.f64 (pow.f64 (-.f64 z (*.f64 z y)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 z (*.f64 z y)))) |
(log1p.f64 (expm1.f64 (-.f64 z (*.f64 z y)))) |
(exp.f64 (log.f64 (-.f64 z (*.f64 z y)))) |
(fma.f64 1 z (*.f64 z (neg.f64 y))) |
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 z (neg.f64 y))) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z (neg.f64 y))) |
| Outputs |
|---|
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(*.f64 (+.f64 1 (*.f64 -1 y)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(*.f64 (+.f64 1 (*.f64 -1 y)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(*.f64 (+.f64 1 (*.f64 -1 y)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(*.f64 (+.f64 1 (*.f64 -1 y)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
z |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(*.f64 -1 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(*.f64 -1 (*.f64 y z)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(+.f64 (*.f64 -1 (*.f64 y z)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(+.f64 z (*.f64 z (neg.f64 y))) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(+.f64 z (*.f64 (*.f64 z (neg.f64 y)) 1)) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(+.f64 (-.f64 z (*.f64 z y)) (fma.f64 (neg.f64 y) z (*.f64 z y))) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(+.f64 (-.f64 z (*.f64 z y)) (fma.f64 (neg.f64 z) y (*.f64 z y))) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(+.f64 (-.f64 z (*.f64 z y)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 z y))) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(+.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))) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(+.f64 (-.f64 z (*.f64 z y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y)) (*.f64 z y))) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(+.f64 (*.f64 z (neg.f64 y)) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(*.f64 (-.f64 z (*.f64 z y)) 1) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(*.f64 1 (-.f64 z (*.f64 z y))) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(*.f64 (cbrt.f64 (-.f64 z (*.f64 z y))) (pow.f64 (cbrt.f64 (-.f64 z (*.f64 z y))) 2)) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 z (*.f64 z y))) 2) (cbrt.f64 (-.f64 z (*.f64 z y)))) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(*.f64 (sqrt.f64 (-.f64 z (*.f64 z y))) (sqrt.f64 (-.f64 z (*.f64 z y)))) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(*.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)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z y) 3)) 1) (fma.f64 z z (*.f64 z (*.f64 y (+.f64 z (*.f64 z y)))))) |
(/.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z y) 3)) (*.f64 z (+.f64 z (*.f64 y (fma.f64 z y z))))) |
(/.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z y) 3)) (*.f64 z (+.f64 z (*.f64 z (fma.f64 y y y))))) |
(*.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 z y) 2)) (/.f64 1 (+.f64 z (*.f64 z y)))) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(*.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z y))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z y)))) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(/.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)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z y) 3)) 1) (fma.f64 z z (*.f64 z (*.f64 y (+.f64 z (*.f64 z y)))))) |
(/.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z y) 3)) (*.f64 z (+.f64 z (*.f64 y (fma.f64 z y z))))) |
(/.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z y) 3)) (*.f64 z (+.f64 z (*.f64 z (fma.f64 y y y))))) |
(/.f64 1 (/.f64 (+.f64 z (*.f64 z y)) (-.f64 (*.f64 z z) (pow.f64 (*.f64 z y) 2)))) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(/.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))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z y) 3)) 1) (fma.f64 z z (*.f64 z (*.f64 y (+.f64 z (*.f64 z y)))))) |
(/.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z y) 3)) (*.f64 z (+.f64 z (*.f64 y (fma.f64 z y z))))) |
(/.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z y) 3)) (*.f64 z (+.f64 z (*.f64 z (fma.f64 y y y))))) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 z y) 2)) (+.f64 z (*.f64 z y))) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(/.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)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z y) 3)) 1) (fma.f64 z z (*.f64 z (*.f64 y (+.f64 z (*.f64 z y)))))) |
(/.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z y) 3)) (*.f64 z (+.f64 z (*.f64 y (fma.f64 z y z))))) |
(/.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z y) 3)) (*.f64 z (+.f64 z (*.f64 z (fma.f64 y y y))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (*.f64 z y) 2))) (neg.f64 (+.f64 z (*.f64 z y)))) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(/.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)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z y) 3)) 1) (fma.f64 z z (*.f64 z (*.f64 y (+.f64 z (*.f64 z y)))))) |
(/.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z y) 3)) (*.f64 z (+.f64 z (*.f64 y (fma.f64 z y z))))) |
(/.f64 (-.f64 (pow.f64 z 3) (pow.f64 (*.f64 z y) 3)) (*.f64 z (+.f64 z (*.f64 z (fma.f64 y y y))))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 z (*.f64 z (neg.f64 y)))) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(pow.f64 (-.f64 z (*.f64 z y)) 1) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(pow.f64 (pow.f64 (-.f64 z (*.f64 z y)) 3) 1/3) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(pow.f64 (cbrt.f64 (-.f64 z (*.f64 z y))) 3) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(pow.f64 (sqrt.f64 (-.f64 z (*.f64 z y))) 2) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(sqrt.f64 (pow.f64 (-.f64 z (*.f64 z y)) 2)) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(log.f64 (exp.f64 (-.f64 z (*.f64 z y)))) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(cbrt.f64 (pow.f64 (-.f64 z (*.f64 z y)) 3)) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(expm1.f64 (log1p.f64 (-.f64 z (*.f64 z y)))) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(log1p.f64 (expm1.f64 (-.f64 z (*.f64 z y)))) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(exp.f64 (log.f64 (-.f64 z (*.f64 z y)))) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(fma.f64 1 z (*.f64 z (neg.f64 y))) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 z (neg.f64 y))) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z (neg.f64 y))) |
(*.f64 z (-.f64 1 y)) |
(-.f64 z (*.f64 z y)) |
(fma.f64 y (neg.f64 z) z) |
Compiled 909 to 316 computations (65.2% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 79 | 1 | 80 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 79 | 6 | 85 |
| Status | Error | Program |
|---|---|---|
| ✓ | 24.6b | (-.f64 z (*.f64 z y)) |
| ✓ | 0.0b | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| ▶ | 52.2b | (*.f64 z (neg.f64 y)) |
| ✓ | 27.8b | (*.f64 y (-.f64 x z)) |
| ✓ | 37.9b | (*.f64 y x) |
| 35.0b | z |
Compiled 45 to 30 computations (33.3% saved)
Compiled 11 to 5 computations (54.5% saved)
Compiled 3 to 3 computations (0% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 0 | 6 | 6 |
| Status | Error | Program |
|---|---|---|
| ✓ | 24.6b | (-.f64 z (*.f64 z y)) |
| ✓ | 0.0b | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| ✓ | 52.2b | (*.f64 z (neg.f64 y)) |
| ✓ | 27.8b | (*.f64 y (-.f64 x z)) |
| ✓ | 37.9b | (*.f64 y x) |
| 35.0b | z |
Compiled 45 to 30 computations (33.3% saved)
Compiled 3 to 3 computations (0% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 5 | 5 |
| Total | 0 | 6 | 6 |
| Status | Error | Program |
|---|---|---|
| ✓ | 24.6b | (-.f64 z (*.f64 z y)) |
| ✓ | 0.0b | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| ✓ | 52.2b | (*.f64 z (neg.f64 y)) |
| ✓ | 27.8b | (*.f64 y (-.f64 x z)) |
| ✓ | 37.9b | (*.f64 y x) |
| 35.0b | z |
Compiled 45 to 30 computations (33.3% saved)
| Inputs |
|---|
z |
(*.f64 y x) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (-.f64 x z)) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
(fma.f64 y (-.f64 x z) z) |
| Outputs |
|---|
(fma.f64 y (-.f64 x z) z) |
4 calls:
| 6.0ms | z |
| 5.0ms | x |
| 5.0ms | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| 5.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | x |
| 0b | 1 | y |
| 0b | 1 | z |
| 0b | 1 | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
Compiled 60 to 33 computations (45% saved)
| Inputs |
|---|
z |
(*.f64 y x) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (-.f64 x z)) |
(-.f64 z (*.f64 z y)) |
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| Outputs |
|---|
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
4 calls:
| 5.0ms | x |
| 5.0ms | z |
| 5.0ms | (+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
| 4.0ms | 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 54 to 32 computations (40.7% saved)
| Inputs |
|---|
z |
(*.f64 y x) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (-.f64 x z)) |
(-.f64 z (*.f64 z y)) |
| Outputs |
|---|
(*.f64 y (-.f64 x z)) |
(-.f64 z (*.f64 z y)) |
(*.f64 y (-.f64 x z)) |
3 calls:
| 81.0ms | x |
| 17.0ms | y |
| 13.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 16.7b | 3 | x |
| 9.4b | 3 | y |
| 11.7b | 3 | z |
Compiled 33 to 19 computations (42.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 1.6373089736614835e-60 | 2.527510759088237e-60 |
| 17.0ms | -8.585311066575621e-42 | -1.480298089233489e-55 |
| 21.0ms | 224× | body | 256 | valid |
Compiled 270 to 181 computations (33% saved)
| Inputs |
|---|
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:
| 38.0ms | z |
| 13.0ms | x |
| 11.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 23.1b | 3 | x |
| 9.4b | 3 | y |
| 16.9b | 7 | z |
Compiled 28 to 17 computations (39.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 1.6373089736614835e-60 | 2.527510759088237e-60 |
| 23.0ms | -8.585311066575621e-42 | -1.480298089233489e-55 |
| 27.0ms | 224× | body | 256 | valid |
Compiled 214 to 153 computations (28.5% saved)
| Inputs |
|---|
z |
(*.f64 y x) |
(*.f64 z (neg.f64 y)) |
| Outputs |
|---|
(*.f64 y x) |
z |
(*.f64 y x) |
(*.f64 z (neg.f64 y)) |
(*.f64 y x) |
(*.f64 z (neg.f64 y)) |
(*.f64 y x) |
3 calls:
| 42.0ms | x |
| 21.0ms | y |
| 10.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 26.0b | 4 | x |
| 16.9b | 7 | y |
| 22.2b | 3 | z |
Compiled 23 to 15 computations (34.8% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 54.0ms | 4.622261969644161e+259 | 7.360364499217299e+276 |
| 56.0ms | 6.1380610660767605e+221 | 6.090847254129096e+226 |
| 24.0ms | 1.2304945221520915e+101 | 4.1820057658278604e+113 |
| 52.0ms | 2.514567632658003e+70 | 1.289087065976255e+74 |
| 7.0ms | 1.6373089736614835e-60 | 2.527510759088237e-60 |
| 21.0ms | -8.585311066575621e-42 | -1.480298089233489e-55 |
| 96.0ms | 816× | body | 256 | valid |
| 71.0ms | 434× | body | 256 | infinite |
Compiled 741 to 546 computations (26.3% saved)
Total -42.4b remaining (-218.2%)
Threshold costs -42.4b (-218.2%)
| Inputs |
|---|
z |
(*.f64 y x) |
| Outputs |
|---|
(*.f64 y x) |
z |
(*.f64 y x) |
3 calls:
| 11.0ms | x |
| 9.0ms | y |
| 9.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 27.1b | 3 | x |
| 19.5b | 3 | y |
| 22.2b | 3 | z |
Compiled 19 to 13 computations (31.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 1.6373089736614835e-60 | 2.527510759088237e-60 |
| 18.0ms | -8.585311066575621e-42 | -1.480298089233489e-55 |
| 22.0ms | 224× | body | 256 | valid |
Compiled 186 to 139 computations (25.3% saved)
| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
| 7× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 168 |
| 1 | 69 | 168 |
| 2 | 79 | 168 |
| 3 | 84 | 168 |
| 4 | 86 | 168 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
(if (<=.f64 y -5176309760092923/862718293348820473429344482784628181556388621521298319395315527974912) (*.f64 y (-.f64 x z)) (if (<=.f64 y 565391060729083/226156424291633194186662080095093570025917938800079226639565593765455331328) (-.f64 z (*.f64 z y)) (*.f64 y (-.f64 x z)))) |
(if (<=.f64 y -4896139353601611/6277101735386680763835789423207666416102355444464034512896) (*.f64 y (-.f64 x z)) (if (<=.f64 y 565391060729083/226156424291633194186662080095093570025917938800079226639565593765455331328) z (*.f64 y (-.f64 x z)))) |
(if (<=.f64 y -7898421875141789/13164036458569648337239753460458804039861886925068638906788872192) (*.f64 y x) (if (<=.f64 y 4161278206966051/1809251394333065553493296640760748560207343510400633813116524750123642650624) z (if (<=.f64 y 310000000000000017887258655676396314034054985539494255354427781647695872) (*.f64 y x) (if (<=.f64 y 1399999999999999966247519647309918091704917595281131027047361231330195275007576181193266675584412126149674532864) (*.f64 z (neg.f64 y)) (if (<=.f64 y 5649999999999999781720385566877550339767248966827199584075066428945646261385755304799380283628050429734703514618961276987427948074357030275199454836447095431279297847932143603632279306772217291399500142211605660614669631488) (*.f64 y x) (if (<=.f64 y 6999999999999999626465051262931738856979609458914762518159419570549058933953338933362446699882081885098690999861540912574462594438751487744854384623937054715802872246030598669720553871652892387939037342604154750450879157227061777788839977044250003992080598046433021187585998848) (*.f64 z (neg.f64 y)) (*.f64 y x))))))) |
(if (<=.f64 y -2812141577453233/1606938044258990275541962092341162602522202993782792835301376) (*.f64 y x) (if (<=.f64 y 4161278206966051/1809251394333065553493296640760748560207343510400633813116524750123642650624) z (*.f64 y x))) |
z |
| Outputs |
|---|
(fma.f64 y (-.f64 x z) z) |
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y))) |
(+.f64 (*.f64 z (-.f64 1 y)) (*.f64 y x)) |
(if (<=.f64 y -5176309760092923/862718293348820473429344482784628181556388621521298319395315527974912) (*.f64 y (-.f64 x z)) (if (<=.f64 y 565391060729083/226156424291633194186662080095093570025917938800079226639565593765455331328) (-.f64 z (*.f64 z y)) (*.f64 y (-.f64 x z)))) |
(if (<=.f64 y -5176309760092923/862718293348820473429344482784628181556388621521298319395315527974912) (*.f64 y (-.f64 x z)) (if (<=.f64 y 565391060729083/226156424291633194186662080095093570025917938800079226639565593765455331328) (-.f64 z (*.f64 y z)) (*.f64 y (-.f64 x z)))) |
(if (<=.f64 y -4896139353601611/6277101735386680763835789423207666416102355444464034512896) (*.f64 y (-.f64 x z)) (if (<=.f64 y 565391060729083/226156424291633194186662080095093570025917938800079226639565593765455331328) z (*.f64 y (-.f64 x z)))) |
(if (<=.f64 y -7898421875141789/13164036458569648337239753460458804039861886925068638906788872192) (*.f64 y x) (if (<=.f64 y 4161278206966051/1809251394333065553493296640760748560207343510400633813116524750123642650624) z (if (<=.f64 y 310000000000000017887258655676396314034054985539494255354427781647695872) (*.f64 y x) (if (<=.f64 y 1399999999999999966247519647309918091704917595281131027047361231330195275007576181193266675584412126149674532864) (*.f64 z (neg.f64 y)) (if (<=.f64 y 5649999999999999781720385566877550339767248966827199584075066428945646261385755304799380283628050429734703514618961276987427948074357030275199454836447095431279297847932143603632279306772217291399500142211605660614669631488) (*.f64 y x) (if (<=.f64 y 6999999999999999626465051262931738856979609458914762518159419570549058933953338933362446699882081885098690999861540912574462594438751487744854384623937054715802872246030598669720553871652892387939037342604154750450879157227061777788839977044250003992080598046433021187585998848) (*.f64 z (neg.f64 y)) (*.f64 y x))))))) |
(if (<=.f64 y -2812141577453233/1606938044258990275541962092341162602522202993782792835301376) (*.f64 y x) (if (<=.f64 y 4161278206966051/1809251394333065553493296640760748560207343510400633813116524750123642650624) z (*.f64 y x))) |
z |
Compiled 139 to 74 computations (46.8% 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 121 to 51 computations (57.9% saved)
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