Time bar (total: 9.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 0% | 99.9% | 0.1% | 7 |
| 3.1% | 96.7% | 0.1% | 8 |
| 14% | 84.3% | 1.7% | 9 |
| 19.5% | 76.5% | 4% | 10 |
| 25.4% | 70.6% | 4% | 11 |
| 38.8% | 54.2% | 7% | 12 |
Compiled 11 to 7 computations (36.4% saved)
| 1.6s | 8256× | body | 256 | valid |
| 153.0ms | 953× | body | 256 | invalid |
| 2× | egg-herbie |
| 795× | div-sub_binary64 |
| 507× | sub-neg_binary64 |
| 434× | fma-def_binary64 |
| 430× | neg-mul-1_binary64 |
| 343× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 40 |
| 1 | 35 | 40 |
| 2 | 83 | 40 |
| 3 | 209 | 40 |
| 4 | 451 | 40 |
| 5 | 1099 | 40 |
| 6 | 3565 | 40 |
| 7 | 7044 | 40 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(/.f64 (*.f64 x (-.f64 y z)) y) |
(/.f64 (*.f64 y (-.f64 x z)) x) |
(/.f64 (*.f64 z (-.f64 y x)) y) |
(/.f64 (*.f64 x (-.f64 z y)) z) |
| Outputs |
|---|
(/.f64 (*.f64 x (-.f64 y z)) y) |
(/.f64 x (/.f64 y (-.f64 y z))) |
(*.f64 (/.f64 x y) (-.f64 y z)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 (-.f64 y z) (/.f64 x y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(/.f64 (*.f64 y (-.f64 x z)) x) |
(/.f64 y (/.f64 x (-.f64 x z))) |
(*.f64 (/.f64 y x) (-.f64 x z)) |
(*.f64 (-.f64 x z) (/.f64 y x)) |
(/.f64 (-.f64 x z) (/.f64 x y)) |
(-.f64 y (/.f64 z (/.f64 x y))) |
(-.f64 y (*.f64 y (/.f64 z x))) |
(/.f64 (*.f64 z (-.f64 y x)) y) |
(/.f64 z (/.f64 y (-.f64 y x))) |
(*.f64 (/.f64 z y) (-.f64 y x)) |
(*.f64 (-.f64 y x) (/.f64 z y)) |
(*.f64 z (/.f64 (-.f64 y x) y)) |
(/.f64 (-.f64 y x) (/.f64 y z)) |
(-.f64 z (*.f64 z (/.f64 x y))) |
(/.f64 (*.f64 x (-.f64 z y)) z) |
(/.f64 x (/.f64 z (-.f64 z y))) |
(*.f64 (/.f64 x z) (-.f64 z y)) |
(*.f64 (-.f64 z y) (/.f64 x z)) |
(-.f64 x (*.f64 x (/.f64 y z))) |
Compiled 13 to 9 computations (30.8% saved)
| 1× | egg-herbie |
| 816× | fma-def_binary64 |
| 681× | fma-neg_binary64 |
| 493× | associate-/l*_binary64 |
| 399× | associate-*l/_binary64 |
| 383× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 12 | 10 |
| 2 | 27 | 10 |
| 3 | 60 | 10 |
| 4 | 132 | 10 |
| 5 | 240 | 10 |
| 6 | 438 | 10 |
| 7 | 1254 | 10 |
| 8 | 6014 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (-.f64 y z)) y) |
| Outputs |
|---|
(/.f64 (*.f64 x (-.f64 y z)) y) |
(/.f64 x (/.f64 y (-.f64 y z))) |
(*.f64 (/.f64 x y) (-.f64 y z)) |
(*.f64 (-.f64 y z) (/.f64 x y)) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
Compiled 17 to 9 computations (47.1% 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 |
|---|---|---|
| ▶ | 4.7b | (-.f64 x (*.f64 z (/.f64 x y))) |
| ▶ | 14.7b | (/.f64 (*.f64 x (-.f64 y z)) y) |
Compiled 20 to 12 computations (40% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (*.f64 z (/.f64 x y))) |
| ✓ | 5.4b | (*.f64 z (/.f64 x y)) |
Compiled 21 to 6 computations (71.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (-.f64 x (*.f64 z (/.f64 x y))) |
| 2.0ms | z | @ | 0 | (*.f64 z (/.f64 x y)) |
| 1.0ms | x | @ | inf | (*.f64 z (/.f64 x y)) |
| 1.0ms | z | @ | inf | (*.f64 z (/.f64 x y)) |
| 1.0ms | x | @ | 0 | (*.f64 z (/.f64 x y)) |
| 1× | batch-egg-rewrite |
| 967× | pow1_binary64 |
| 899× | add-log-exp_binary64 |
| 899× | log1p-expm1-u_binary64 |
| 899× | expm1-log1p-u_binary64 |
| 87× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 160 | 17 |
| 2 | 2408 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 z (/.f64 x y)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 z x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 z x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 z x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 z x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 z x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 z x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 z x) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (neg.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (neg.f64 (*.f64 z x)) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 (/.f64 x y)) z (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (/.f64 (neg.f64 (*.f64 z x)) y) 1 (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 z x) y))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 z x) y)) 2) (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 z x) y)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z x) y))) (sqrt.f64 (/.f64 (*.f64 z x) y)) (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (*.f64 z x)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 2) (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) (sqrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2)) (/.f64 1 (+.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 z x) y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y)))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 (*.f64 z x) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3)) (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2)) (+.f64 x (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 z x) y) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (*.f64 z x) y) (+.f64 x (/.f64 (*.f64 z x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z x) y) 2))) (neg.f64 (+.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (*.f64 z x)) y) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 (*.f64 z x)) y) (/.f64 (neg.f64 (*.f64 z x)) y)) (*.f64 x (/.f64 (neg.f64 (*.f64 z x)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 (*.f64 z x)) y) (/.f64 (neg.f64 (*.f64 z x)) y))) (-.f64 x (/.f64 (neg.f64 (*.f64 z x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (/.f64 (*.f64 z x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (*.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 z x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 (*.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (neg.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (*.f64 z x)) y)))))) |
| 1× | egg-herbie |
| 380× | fma-def_binary64 |
| 179× | fma-neg_binary64 |
| 58× | cancel-sign-sub-inv_binary64 |
| 49× | associate-*r*_binary64 |
| 46× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 582 |
| 1 | 35 | 582 |
| 2 | 66 | 582 |
| 3 | 116 | 582 |
| 4 | 224 | 582 |
| 5 | 410 | 582 |
| 6 | 803 | 582 |
| 7 | 1079 | 582 |
| 8 | 1271 | 582 |
| 9 | 1390 | 582 |
| 10 | 1404 | 582 |
| 11 | 1409 | 582 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
| Outputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 x (-.f64 y z)) |
| ✓ | 14.0b | (/.f64 (*.f64 x (-.f64 y z)) y) |
Compiled 21 to 6 computations (71.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | inf | (*.f64 x (-.f64 y z)) |
| 2.0ms | x | @ | 0 | (/.f64 (*.f64 x (-.f64 y z)) y) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 x (-.f64 y z)) y) |
| 1.0ms | z | @ | inf | (/.f64 (*.f64 x (-.f64 y z)) y) |
| 1.0ms | y | @ | -inf | (/.f64 (*.f64 x (-.f64 y z)) y) |
| 1× | batch-egg-rewrite |
| 985× | pow1_binary64 |
| 918× | add-log-exp_binary64 |
| 918× | log1p-expm1-u_binary64 |
| 918× | expm1-log1p-u_binary64 |
| 85× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 157 | 17 |
| 2 | 2384 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (-.f64 y z)) y) |
(*.f64 x (-.f64 y z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (-.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 y (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (-.f64 y z) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y z) (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (-.f64 y z)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (-.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x y) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 2) (*.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))) 2) (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (*.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))) (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 (-.f64 y z))) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 x (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (-.f64 y z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y z) 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (-.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) 1) (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 y z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x (-.f64 y z)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 y z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y z) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 x (-.f64 y z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) (-.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (-.f64 y z)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x y) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (-.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) (-.f64 y z)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (neg.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 z 3)) x) (fma.f64 y y (*.f64 z (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) x) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 y y (*.f64 z (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z))) (+.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 y z)))))))) |
| 1× | egg-herbie |
| 422× | times-frac_binary64 |
| 390× | neg-sub0_binary64 |
| 366× | fma-def_binary64 |
| 357× | neg-mul-1_binary64 |
| 310× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 570 |
| 1 | 34 | 570 |
| 2 | 74 | 570 |
| 3 | 143 | 570 |
| 4 | 265 | 570 |
| 5 | 552 | 570 |
| 6 | 1301 | 570 |
| 7 | 5124 | 570 |
| 8 | 7370 | 570 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 -1 (*.f64 z x)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 y z) x) y) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(*.f64 (/.f64 z y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 z y))) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(/.f64 (-.f64 y z) (/.f64 y x)) |
(*.f64 (/.f64 (-.f64 y z) y) x) |
(*.f64 x (/.f64 (-.f64 y z) y)) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 (-.f64 y z) x) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 z x)) |
(*.f64 z (neg.f64 x)) |
(*.f64 x (neg.f64 z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 z x)) |
(*.f64 z (neg.f64 x)) |
(*.f64 x (neg.f64 z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(*.f64 -1 (*.f64 z x)) |
(neg.f64 (*.f64 z x)) |
(*.f64 z (neg.f64 x)) |
(*.f64 x (neg.f64 z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 z x))) |
(*.f64 (-.f64 y z) x) |
Compiled 1714 to 506 computations (70.5% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 130 | 10 | 140 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 132 | 10 | 142 |
| Status | Error | Program |
|---|---|---|
| ▶ | 40.2b | (*.f64 (neg.f64 z) (/.f64 x y)) |
| 41.2b | (*.f64 x (/.f64 (neg.f64 z) y)) | |
| ▶ | 3.9b | (*.f64 (-.f64 1 (/.f64 z y)) x) |
| 4.0b | (pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) -1) | |
| 25.8b | x | |
| ▶ | 3.9b | (-.f64 x (*.f64 x (/.f64 z y))) |
| ▶ | 36.4b | (/.f64 (*.f64 y x) y) |
| 40.9b | (/.f64 (*.f64 x (neg.f64 z)) y) | |
| ▶ | 5.7b | (-.f64 x (/.f64 1 (/.f64 y (*.f64 z x)))) |
| 4.5b | (-.f64 x (/.f64 z (/.f64 y x))) |
Compiled 182 to 119 computations (34.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (*.f64 x (/.f64 z y))) |
| ✓ | 6.3b | (*.f64 x (/.f64 z y)) |
Compiled 21 to 6 computations (71.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 x (/.f64 z y)) |
| 0.0ms | x | @ | -inf | (*.f64 x (/.f64 z y)) |
| 0.0ms | x | @ | -inf | (-.f64 x (*.f64 x (/.f64 z y))) |
| 0.0ms | z | @ | -inf | (-.f64 x (*.f64 x (/.f64 z y))) |
| 0.0ms | z | @ | -inf | (*.f64 x (/.f64 z y)) |
| 1× | batch-egg-rewrite |
| 967× | pow1_binary64 |
| 899× | add-log-exp_binary64 |
| 899× | log1p-expm1-u_binary64 |
| 899× | expm1-log1p-u_binary64 |
| 87× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 160 | 17 |
| 2 | 2410 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (/.f64 z y)) |
(-.f64 x (*.f64 x (/.f64 z y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 x z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 x z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 x z) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (neg.f64 (*.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (neg.f64 (*.f64 x z)) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 x z) y)) (fma.f64 (neg.f64 (/.f64 z y)) x (/.f64 (*.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 x z) y)) (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (*.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 x z) y)) (fma.f64 (/.f64 (neg.f64 (*.f64 x z)) y) 1 (/.f64 (*.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 x z) y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 x z) y))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x z) y)) 2) (/.f64 (*.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (*.f64 x z) y)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 x z) y))) (sqrt.f64 (/.f64 (*.f64 x z) y)) (/.f64 (*.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (*.f64 x z)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (/.f64 (*.f64 x z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (/.f64 (*.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 x z) y))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 x z) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 x z) y))) 2) (cbrt.f64 (-.f64 x (/.f64 (*.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (/.f64 (*.f64 x z) y))) (sqrt.f64 (-.f64 x (/.f64 (*.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 x z) y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (*.f64 x z) y) (+.f64 x (/.f64 (*.f64 x z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 x z) y) 2)) (/.f64 1 (+.f64 x (/.f64 (*.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 x z) y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (*.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 (*.f64 x z) y) (+.f64 x (/.f64 (*.f64 x z) y)))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 x z) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 (*.f64 x z) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 x z) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 x z) y) 3)) (fma.f64 x x (*.f64 (/.f64 (*.f64 x z) y) (+.f64 x (/.f64 (*.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 x z) y) 2)) (+.f64 x (/.f64 (*.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 x z) y) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (*.f64 x z) y) (+.f64 x (/.f64 (*.f64 x z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 x z) y) 2))) (neg.f64 (+.f64 x (/.f64 (*.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (*.f64 x z)) y) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 (*.f64 x z)) y) (/.f64 (neg.f64 (*.f64 x z)) y)) (*.f64 x (/.f64 (neg.f64 (*.f64 x z)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 (*.f64 x z)) y) (/.f64 (neg.f64 (*.f64 x z)) y))) (-.f64 x (/.f64 (neg.f64 (*.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (/.f64 (*.f64 x z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 x z) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (/.f64 (*.f64 x z) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (/.f64 (*.f64 x z) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 x z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 (*.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (*.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 (*.f64 x z) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 (*.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 (*.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 (*.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (neg.f64 (*.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (*.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (*.f64 x z)) y)))))) |
| 1× | egg-herbie |
| 380× | fma-def_binary64 |
| 179× | fma-neg_binary64 |
| 58× | cancel-sign-sub-inv_binary64 |
| 49× | associate-*r*_binary64 |
| 46× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 582 |
| 1 | 35 | 582 |
| 2 | 66 | 582 |
| 3 | 116 | 582 |
| 4 | 224 | 582 |
| 5 | 410 | 582 |
| 6 | 803 | 582 |
| 7 | 1079 | 582 |
| 8 | 1271 | 582 |
| 9 | 1390 | 582 |
| 10 | 1404 | 582 |
| 11 | 1409 | 582 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
| Outputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 19.5b | (/.f64 (*.f64 y x) y) |
Compiled 13 to 5 computations (61.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 y x) y) |
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 y x) y) |
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 y x) y) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 y x) y) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 y x) y) |
| 1× | batch-egg-rewrite |
| 621× | pow1_binary64 |
| 577× | add-log-exp_binary64 |
| 577× | log1p-expm1-u_binary64 |
| 577× | expm1-log1p-u_binary64 |
| 564× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 106 | 7 |
| 2 | 1513 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y x) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 y y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 y (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) x)) 2) (cbrt.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y y) x)) (sqrt.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 y (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 y x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 y (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 y x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y y) x))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 24 |
| 1× | saturated |
| Inputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
| Outputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 5.4b | (*.f64 (neg.f64 z) (/.f64 x y)) |
Compiled 17 to 6 computations (64.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (*.f64 (neg.f64 z) (/.f64 x y)) |
| 1.0ms | y | @ | 0 | (*.f64 (neg.f64 z) (/.f64 x y)) |
| 1.0ms | x | @ | 0 | (*.f64 (neg.f64 z) (/.f64 x y)) |
| 0.0ms | z | @ | inf | (*.f64 (neg.f64 z) (/.f64 x y)) |
| 0.0ms | x | @ | inf | (*.f64 (neg.f64 z) (/.f64 x y)) |
| 1× | batch-egg-rewrite |
| 713× | pow1_binary64 |
| 658× | add-log-exp_binary64 |
| 657× | log1p-expm1-u_binary64 |
| 657× | expm1-log1p-u_binary64 |
| 643× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 150 | 7 |
| 2 | 2083 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (neg.f64 z) (/.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 x y)))))))) |
| 1× | egg-herbie |
| 145× | fma-def_binary64 |
| 46× | fma-neg_binary64 |
| 24× | sub-neg_binary64 |
| 18× | div-sub_binary64 |
| 14× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 324 |
| 1 | 15 | 324 |
| 2 | 35 | 324 |
| 3 | 69 | 324 |
| 4 | 114 | 324 |
| 5 | 162 | 324 |
| 6 | 202 | 324 |
| 7 | 238 | 324 |
| 8 | 275 | 324 |
| 9 | 394 | 324 |
| 10 | 445 | 324 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.6b | (*.f64 (-.f64 1 (/.f64 z y)) x) |
Compiled 22 to 10 computations (54.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (-.f64 1 (/.f64 z y)) x) |
| 1.0ms | z | @ | 0 | (*.f64 (-.f64 1 (/.f64 z y)) x) |
| 1.0ms | y | @ | -inf | (*.f64 (-.f64 1 (/.f64 z y)) x) |
| 1.0ms | x | @ | inf | (*.f64 (-.f64 1 (/.f64 z y)) x) |
| 1.0ms | y | @ | 0 | (*.f64 (-.f64 1 (/.f64 z y)) x) |
| 1× | batch-egg-rewrite |
| 904× | pow1_binary64 |
| 837× | add-log-exp_binary64 |
| 837× | log1p-expm1-u_binary64 |
| 837× | expm1-log1p-u_binary64 |
| 820× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 167 | 10 |
| 2 | 2200 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 1 (/.f64 z y)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (neg.f64 z) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (/.f64 (neg.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (-.f64 1 (/.f64 z y)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 z y) 3)) x) (+.f64 1 (+.f64 (/.f64 z y) (pow.f64 (/.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (/.f64 z y) 2)) x) (+.f64 1 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 z y) 3))) (+.f64 1 (+.f64 (/.f64 z y) (pow.f64 (/.f64 z y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 (/.f64 z y) 2))) (+.f64 1 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (/.f64 z y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 z y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 z y)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (/.f64 z y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (/.f64 z y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (/.f64 z y)) x))))))) |
| 1× | egg-herbie |
| 456× | fma-def_binary64 |
| 218× | fma-neg_binary64 |
| 76× | cancel-sign-sub-inv_binary64 |
| 61× | distribute-rgt-in_binary64 |
| 56× | associate-*r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 228 |
| 1 | 18 | 210 |
| 2 | 40 | 210 |
| 3 | 79 | 210 |
| 4 | 142 | 210 |
| 5 | 280 | 210 |
| 6 | 494 | 210 |
| 7 | 715 | 210 |
| 8 | 1113 | 210 |
| 9 | 1645 | 210 |
| 10 | 1659 | 210 |
| 11 | 1673 | 210 |
| 12 | 1678 | 210 |
| 1× | saturated |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(fma.f64 (neg.f64 z) (/.f64 x y) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(fma.f64 (neg.f64 z) (/.f64 x y) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(fma.f64 (neg.f64 z) (/.f64 x y) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(*.f64 (/.f64 x y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(fma.f64 (neg.f64 z) (/.f64 x y) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(fma.f64 (neg.f64 z) (/.f64 x y) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(fma.f64 (neg.f64 z) (/.f64 x y) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(*.f64 (/.f64 x y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(fma.f64 (neg.f64 z) (/.f64 x y) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(fma.f64 (neg.f64 z) (/.f64 x y) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(fma.f64 (neg.f64 z) (/.f64 x y) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(*.f64 (/.f64 x y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(fma.f64 (neg.f64 z) (/.f64 x y) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(fma.f64 (neg.f64 z) (/.f64 x y) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(fma.f64 (neg.f64 z) (/.f64 x y) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(fma.f64 (neg.f64 z) (/.f64 x y) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(fma.f64 (neg.f64 z) (/.f64 x y) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(fma.f64 (neg.f64 z) (/.f64 x y) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(fma.f64 (neg.f64 z) (/.f64 x y) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(fma.f64 (neg.f64 z) (/.f64 x y) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(fma.f64 -1 (/.f64 z (/.f64 y x)) x) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(fma.f64 (/.f64 x y) (neg.f64 z) x) |
(fma.f64 (neg.f64 z) (/.f64 x y) x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 1 (/.f64 y (*.f64 z x)))) |
| ✓ | 0.2b | (/.f64 1 (/.f64 y (*.f64 z x))) |
| ✓ | 7.2b | (/.f64 y (*.f64 z x)) |
Compiled 31 to 11 computations (64.5% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 y (*.f64 z x)) |
| 1.0ms | y | @ | -inf | (/.f64 y (*.f64 z x)) |
| 1.0ms | x | @ | 0 | (/.f64 y (*.f64 z x)) |
| 1.0ms | x | @ | -inf | (/.f64 y (*.f64 z x)) |
| 1.0ms | z | @ | 0 | (/.f64 y (*.f64 z x)) |
| 1× | batch-egg-rewrite |
| 608× | prod-diff_binary64 |
| 535× | log-prod_binary64 |
| 327× | pow-prod-down_binary64 |
| 262× | pow2_binary64 |
| 221× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 30 |
| 1 | 198 | 24 |
| 2 | 2889 | 24 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (*.f64 z x)) |
(/.f64 1 (/.f64 y (*.f64 z x))) |
(-.f64 x (/.f64 1 (/.f64 y (*.f64 z x)))) |
| Outputs |
|---|
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(-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 z (/.f64 y x)))) (+.f64 (neg.f64 (/.f64 z (/.f64 y x))) (/.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 z (/.f64 y x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 z (/.f64 y x)))) (fma.f64 (*.f64 x (neg.f64 z)) (/.f64 1 y) (/.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) 2)) (cbrt.f64 (/.f64 z (/.f64 y x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 1 y)) (*.f64 z x) x))))) |
| 1× | egg-herbie |
| 380× | fma-def_binary64 |
| 179× | fma-neg_binary64 |
| 58× | cancel-sign-sub-inv_binary64 |
| 49× | associate-*r*_binary64 |
| 46× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 582 |
| 1 | 35 | 582 |
| 2 | 66 | 582 |
| 3 | 116 | 582 |
| 4 | 224 | 582 |
| 5 | 410 | 582 |
| 6 | 803 | 582 |
| 7 | 1079 | 582 |
| 8 | 1271 | 582 |
| 9 | 1390 | 582 |
| 10 | 1404 | 582 |
| 11 | 1409 | 582 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
| Outputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
Compiled 9642 to 2958 computations (69.3% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 477 | 5 | 482 |
| Fresh | 4 | 1 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 3 | 4 |
| Total | 483 | 9 | 492 |
| Status | Error | Program |
|---|---|---|
| ▶ | 40.9b | (/.f64 (*.f64 z x) (neg.f64 y)) |
| 25.8b | x | |
| ▶ | 41.2b | (*.f64 x (/.f64 (neg.f64 z) y)) |
| ✓ | 40.2b | (*.f64 (neg.f64 z) (/.f64 x y)) |
| ▶ | 61.9b | (/.f64 z (/.f64 y x)) |
| ✓ | 3.9b | (*.f64 (-.f64 1 (/.f64 z y)) x) |
| ✓ | 36.4b | (/.f64 (*.f64 y x) y) |
| ▶ | 3.8b | (-.f64 x (/.f64 x (/.f64 y z))) |
| ▶ | 4.5b | (-.f64 x (/.f64 z (/.f64 y x))) |
Compiled 123 to 79 computations (35.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 x (/.f64 y z))) |
| ✓ | 6.3b | (/.f64 x (/.f64 y z)) |
Compiled 21 to 6 computations (71.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 x (/.f64 y z)) |
| 0.0ms | y | @ | -inf | (/.f64 x (/.f64 y z)) |
| 0.0ms | x | @ | -inf | (-.f64 x (/.f64 x (/.f64 y z))) |
| 0.0ms | z | @ | -inf | (/.f64 x (/.f64 y z)) |
| 0.0ms | y | @ | inf | (-.f64 x (/.f64 x (/.f64 y z))) |
| 1× | batch-egg-rewrite |
| 710× | prod-diff_binary64 |
| 490× | log-prod_binary64 |
| 271× | pow-prod-down_binary64 |
| 234× | pow2_binary64 |
| 223× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 163 | 17 |
| 2 | 2599 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (/.f64 y z)) |
(-.f64 x (/.f64 x (/.f64 y z))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (neg.f64 x) (/.f64 z y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 x) (/.f64 z y) x) (fma.f64 (neg.f64 (/.f64 z y)) x (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 x) (/.f64 z y) x) (fma.f64 (*.f64 (neg.f64 x) (/.f64 z y)) 1 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 x) (/.f64 z y) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (/.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 x) (/.f64 z y) x) (+.f64 (*.f64 (neg.f64 x) (/.f64 z y)) (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 x) (/.f64 z y) x) (fma.f64 (neg.f64 z) (/.f64 x y) (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> 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| 1× | egg-herbie |
| 380× | fma-def_binary64 |
| 179× | fma-neg_binary64 |
| 58× | cancel-sign-sub-inv_binary64 |
| 49× | associate-*r*_binary64 |
| 46× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 582 |
| 1 | 35 | 582 |
| 2 | 66 | 582 |
| 3 | 116 | 582 |
| 4 | 224 | 582 |
| 5 | 410 | 582 |
| 6 | 803 | 582 |
| 7 | 1079 | 582 |
| 8 | 1271 | 582 |
| 9 | 1390 | 582 |
| 10 | 1404 | 582 |
| 11 | 1409 | 582 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
| Outputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(fma.f64 x (/.f64 (neg.f64 z) y) x) |
(-.f64 x (/.f64 (*.f64 z x) y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 5.4b | (/.f64 z (/.f64 y x)) |
Compiled 14 to 5 computations (64.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (/.f64 z (/.f64 y x)) |
| 0.0ms | z | @ | inf | (/.f64 z (/.f64 y x)) |
| 0.0ms | y | @ | inf | (/.f64 z (/.f64 y x)) |
| 0.0ms | z | @ | -inf | (/.f64 z (/.f64 y x)) |
| 0.0ms | y | @ | -inf | (/.f64 z (/.f64 y x)) |
| 1× | batch-egg-rewrite |
| 780× | pow1_binary64 |
| 724× | add-log-exp_binary64 |
| 724× | log1p-expm1-u_binary64 |
| 724× | expm1-log1p-u_binary64 |
| 707× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 131 | 7 |
| 2 | 1915 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 z (/.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (cbrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (sqrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (/.f64 (cbrt.f64 z) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 z (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 z (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 z x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 z (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 x y)))))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 2× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 252 |
| 1 | 9 | 252 |
| 2 | 13 | 252 |
| 3 | 16 | 252 |
| 4 | 17 | 252 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
| Outputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 x (/.f64 z y)) |
(*.f64 z (/.f64 x y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 6.3b | (*.f64 x (/.f64 (neg.f64 z) y)) |
Compiled 18 to 6 computations (66.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 x (/.f64 (neg.f64 z) y)) |
| 0.0ms | y | @ | inf | (*.f64 x (/.f64 (neg.f64 z) y)) |
| 0.0ms | z | @ | inf | (*.f64 x (/.f64 (neg.f64 z) y)) |
| 0.0ms | y | @ | -inf | (*.f64 x (/.f64 (neg.f64 z) y)) |
| 0.0ms | x | @ | -inf | (*.f64 x (/.f64 (neg.f64 z) y)) |
| 1× | batch-egg-rewrite |
| 695× | pow1_binary64 |
| 641× | add-log-exp_binary64 |
| 640× | log1p-expm1-u_binary64 |
| 640× | expm1-log1p-u_binary64 |
| 626× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 150 | 7 |
| 2 | 2150 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (/.f64 (neg.f64 z) y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 z y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 z y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 z y)))))))) |
| 1× | egg-herbie |
| 145× | fma-def_binary64 |
| 46× | fma-neg_binary64 |
| 24× | sub-neg_binary64 |
| 18× | div-sub_binary64 |
| 14× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 324 |
| 1 | 15 | 324 |
| 2 | 35 | 324 |
| 3 | 69 | 324 |
| 4 | 114 | 324 |
| 5 | 162 | 324 |
| 6 | 202 | 324 |
| 7 | 238 | 324 |
| 8 | 275 | 324 |
| 9 | 394 | 324 |
| 10 | 445 | 324 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 7.2b | (/.f64 (*.f64 z x) (neg.f64 y)) |
Compiled 17 to 6 computations (64.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (*.f64 z x) (neg.f64 y)) |
| 1.0ms | z | @ | 0 | (/.f64 (*.f64 z x) (neg.f64 y)) |
| 0.0ms | z | @ | inf | (/.f64 (*.f64 z x) (neg.f64 y)) |
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 z x) (neg.f64 y)) |
| 0.0ms | z | @ | -inf | (/.f64 (*.f64 z x) (neg.f64 y)) |
| 1× | batch-egg-rewrite |
| 731× | pow1_binary64 |
| 677× | add-log-exp_binary64 |
| 676× | log1p-expm1-u_binary64 |
| 676× | expm1-log1p-u_binary64 |
| 662× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 148 | 7 |
| 2 | 2173 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 z x) (neg.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 z (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 z (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 z (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) 2) (cbrt.f64 (/.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (*.f64 (cbrt.f64 (*.f64 z x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 z (/.f64 y x))) (sqrt.f64 (/.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (neg.f64 x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 z (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) 1) (/.f64 (sqrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 z x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 z x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z -1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x -1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) -1) (/.f64 (cbrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) -1) (/.f64 (sqrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 z (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 z x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 z (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 z (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 z (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 z (/.f64 y x)))))))) |
| 1× | egg-herbie |
| 145× | fma-def_binary64 |
| 46× | fma-neg_binary64 |
| 24× | sub-neg_binary64 |
| 18× | div-sub_binary64 |
| 14× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 324 |
| 1 | 15 | 324 |
| 2 | 35 | 324 |
| 3 | 69 | 324 |
| 4 | 114 | 324 |
| 5 | 162 | 324 |
| 6 | 202 | 324 |
| 7 | 238 | 324 |
| 8 | 275 | 324 |
| 9 | 394 | 324 |
| 10 | 445 | 324 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(*.f64 (neg.f64 (/.f64 z y)) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (neg.f64 (/.f64 x y))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 z (/.f64 y x))) |
| 5.4b | (/.f64 z (/.f64 y x)) |
Compiled 21 to 6 computations (71.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 x (/.f64 z (/.f64 y x))) |
| 0.0ms | y | @ | 0 | (-.f64 x (/.f64 z (/.f64 y x))) |
| 0.0ms | x | @ | -inf | (-.f64 x (/.f64 z (/.f64 y x))) |
| 0.0ms | y | @ | -inf | (-.f64 x (/.f64 z (/.f64 y x))) |
| 0.0ms | z | @ | -inf | (-.f64 x (/.f64 z (/.f64 y x))) |
| 1× | batch-egg-rewrite |
| 697× | prod-diff_binary64 |
| 492× | log-prod_binary64 |
| 280× | pow-prod-down_binary64 |
| 239× | fma-def_binary64 |
| 234× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 163 | 10 |
| 2 | 2605 | 10 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (/.f64 z (/.f64 y x))) |
| Outputs |
|---|
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((x fma.f64 (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (fma.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (/.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (sqrt.f64 (*.f64 x (-.f64 1 (/.f64 z y)))) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 x 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egg-rr> (2) ((x fma.f64 -1 (*.f64 x (/.f64 z y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (fma.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (/.f64 z y)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 z y)))) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2)) (cbrt.f64 (*.f64 x (/.f64 z y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 z y)) x x))))) |
| 1× | egg-herbie |
| 380× | fma-def_binary64 |
| 179× | fma-neg_binary64 |
| 58× | cancel-sign-sub-inv_binary64 |
| 50× | associate-*r*_binary64 |
| 46× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 330 |
| 1 | 35 | 330 |
| 2 | 66 | 330 |
| 3 | 116 | 330 |
| 4 | 224 | 330 |
| 5 | 410 | 330 |
| 6 | 804 | 330 |
| 7 | 1078 | 330 |
| 8 | 1273 | 330 |
| 9 | 1392 | 330 |
| 10 | 1406 | 330 |
| 11 | 1411 | 330 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
| Outputs |
|---|
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(*.f64 (+.f64 1 (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
x |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) x) |
(*.f64 x (-.f64 1 (/.f64 z y))) |
(-.f64 x (*.f64 (/.f64 x y) z)) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(-.f64 x (*.f64 (/.f64 z y) x)) |
Compiled 14768 to 4577 computations (69% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 643 | 2 | 645 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 7 | 7 |
| Total | 645 | 9 | 654 |
| Status | Error | Program |
|---|---|---|
| ✓ | 41.2b | (*.f64 x (/.f64 (neg.f64 z) y)) |
| ✓ | 40.2b | (*.f64 (neg.f64 z) (/.f64 x y)) |
| ✓ | 40.9b | (/.f64 (*.f64 z x) (neg.f64 y)) |
| ✓ | 61.9b | (/.f64 z (/.f64 y x)) |
| ✓ | 3.9b | (*.f64 (-.f64 1 (/.f64 z y)) x) |
| ✓ | 36.4b | (/.f64 (*.f64 y x) y) |
| ▶ | 40.4b | (neg.f64 (/.f64 z (/.f64 y x))) |
| 25.8b | x | |
| ✓ | 3.8b | (-.f64 x (/.f64 x (/.f64 y z))) |
Compiled 76 to 50 computations (34.2% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 5.4b | (/.f64 z (/.f64 y x)) |
Compiled 20 to 6 computations (70% saved)
Compiled 443 to 194 computations (56.2% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 42 | 0 | 42 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 42 | 9 | 51 |
| Status | Error | Program |
|---|---|---|
| ✓ | 41.2b | (*.f64 x (/.f64 (neg.f64 z) y)) |
| ✓ | 40.2b | (*.f64 (neg.f64 z) (/.f64 x y)) |
| ✓ | 40.9b | (/.f64 (*.f64 z x) (neg.f64 y)) |
| ✓ | 61.9b | (/.f64 z (/.f64 y x)) |
| ✓ | 3.9b | (*.f64 (-.f64 1 (/.f64 z y)) x) |
| ✓ | 36.4b | (/.f64 (*.f64 y x) y) |
| ✓ | 40.4b | (neg.f64 (/.f64 z (/.f64 y x))) |
| 25.8b | x | |
| ✓ | 3.8b | (-.f64 x (/.f64 x (/.f64 y z))) |
Compiled 76 to 50 computations (34.2% saved)
| Inputs |
|---|
x |
x |
x |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y x) y) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (*.f64 z x) (neg.f64 y)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(/.f64 (*.f64 x (-.f64 y z)) y) |
(-.f64 x (/.f64 1 (/.f64 y (*.f64 z x)))) |
(pow.f64 (/.f64 (/.f64 y (-.f64 y z)) x) -1) |
| Outputs |
|---|
(-.f64 x (/.f64 x (/.f64 y z))) |
(/.f64 (*.f64 x (-.f64 y z)) y) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(-.f64 x (/.f64 1 (/.f64 y (*.f64 z x)))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
4 calls:
| 233.0ms | y |
| 206.0ms | (/.f64 (*.f64 x (-.f64 y z)) y) |
| 180.0ms | z |
| 29.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 2.5b | 2 | x |
| 0.6b | 6 | y |
| 1.6b | 2 | z |
| 0.1b | 5 | (/.f64 (*.f64 x (-.f64 y z)) y) |
Compiled 134 to 56 computations (58.2% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.914637594893039e+293 | 6.461653116919663e+303 |
| 0.0ms | 377617361939355.94 | 141672203250125540.0 |
| 0.0ms | -2.1599399534926015e+85 | -1.1700984221237303e+77 |
| 0.0ms | -inf | -1.265349326558557e+301 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
x |
x |
x |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y x) y) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (*.f64 z x) (neg.f64 y)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
(/.f64 (*.f64 x (-.f64 y z)) y) |
| Outputs |
|---|
(-.f64 x (/.f64 x (/.f64 y z))) |
(/.f64 (*.f64 x (-.f64 y z)) y) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(/.f64 (*.f64 x (-.f64 y z)) y) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
4 calls:
| 180.0ms | y |
| 38.0ms | (/.f64 (*.f64 x (-.f64 y z)) y) |
| 30.0ms | z |
| 18.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 2.5b | 2 | x |
| 2.0b | 3 | y |
| 1.6b | 2 | z |
| 0.1b | 5 | (/.f64 (*.f64 x (-.f64 y z)) y) |
Compiled 116 to 48 computations (58.6% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.914637594893039e+293 | 6.461653116919663e+303 |
| 0.0ms | 8.751828073059266e-59 | 9.32209086867386e-59 |
| 0.0ms | -2.1599399534926015e+85 | -1.1700984221237303e+77 |
| 0.0ms | -inf | -1.265349326558557e+301 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
x |
x |
x |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y x) y) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (*.f64 z x) (neg.f64 y)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (*.f64 x (/.f64 z y))) |
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (*.f64 z (/.f64 x y))) |
| Outputs |
|---|
(-.f64 x (/.f64 z (/.f64 y x))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
3 calls:
| 47.0ms | z |
| 44.0ms | x |
| 24.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 2.5b | 2 | x |
| 2.0b | 3 | y |
| 1.6b | 2 | z |
Compiled 99 to 39 computations (60.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | -1.0000879259973064e+33 | -3.763091750642646e+31 |
Compiled 38 to 25 computations (34.2% saved)
| Inputs |
|---|
x |
x |
x |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y x) y) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (*.f64 z x) (neg.f64 y)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(-.f64 x (/.f64 x (/.f64 y z))) |
(*.f64 (-.f64 1 (/.f64 z y)) x) |
(-.f64 x (*.f64 x (/.f64 z y))) |
| Outputs |
|---|
(neg.f64 (/.f64 z (/.f64 y x))) |
(-.f64 x (/.f64 x (/.f64 y z))) |
3 calls:
| 73.0ms | y |
| 16.0ms | z |
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 3.8b | 1 | x |
| 2.8b | 3 | y |
| 2.3b | 2 | z |
Compiled 85 to 36 computations (57.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 9.0ms | -1.2650702632328626e+156 | -7.7077078500534605e+146 |
Compiled 37 to 25 computations (32.4% saved)
| Inputs |
|---|
x |
x |
x |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y x) y) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (*.f64 z x) (neg.f64 y)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
| Outputs |
|---|
x |
(neg.f64 (/.f64 z (/.f64 y x))) |
x |
(neg.f64 (/.f64 z (/.f64 y x))) |
x |
3 calls:
| 66.0ms | x |
| 63.0ms | y |
| 19.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 20.6b | 7 | x |
| 16.0b | 5 | y |
| 17.4b | 3 | z |
Compiled 64 to 27 computations (57.8% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 77.0ms | 3.0132662249017747e-43 | 2.636793905788217e-41 |
| 289.0ms | 1.1997667613948301e-116 | 1.0279068982849944e-97 |
| 192.0ms | 1.0923386134619924e-170 | 1.0668333660358176e-163 |
| 18.0ms | -4.2823194274122806e+30 | -9.489806493608279e+29 |
Compiled 406 to 297 computations (26.8% saved)
Total -36.4b remaining (-141%)
Threshold costs -36.4b (-141%)
| Inputs |
|---|
x |
x |
x |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 y x) y) |
| Outputs |
|---|
x |
3 calls:
| 156.0ms | z |
| 4.0ms | y |
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 25.8b | 1 | x |
| 25.8b | 1 | y |
| 25.8b | 1 | z |
Compiled 28 to 16 computations (42.9% saved)
| 1× | egg-herbie |
| 11× | +-commutative_binary64 |
| 11× | sub-neg_binary64 |
| 9× | *-commutative_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 320 |
| 1 | 77 | 320 |
| 2 | 97 | 320 |
| 3 | 108 | 320 |
| 4 | 114 | 320 |
| 5 | 115 | 320 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -inf.0) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208) (/.f64 (*.f64 x (-.f64 y z)) y) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 500000000000000) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968) (-.f64 x (/.f64 1 (/.f64 y (*.f64 z x)))) (*.f64 (-.f64 1 (/.f64 z y)) x))))) |
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -inf.0) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208) (/.f64 (*.f64 x (-.f64 y z)) y) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 5088519546561747/56539106072908298546665520023773392506479484700019806659891398441363832832) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968) (/.f64 (*.f64 x (-.f64 y z)) y) (*.f64 (-.f64 1 (/.f64 z y)) x))))) |
(if (<=.f64 z -999999999999999945575230987042816) (-.f64 x (/.f64 z (/.f64 y x))) (-.f64 x (/.f64 x (/.f64 y z)))) |
(if (<=.f64 z -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776) (neg.f64 (/.f64 z (/.f64 y x))) (-.f64 x (/.f64 x (/.f64 y z)))) |
(if (<=.f64 y -4282319427412280567845647024128) x (if (<=.f64 y 5982738351088065/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (neg.f64 (/.f64 z (/.f64 y x))) (if (<=.f64 y 7695704335233297/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) x (if (<=.f64 y 1945901537969871/6277101735386680763835789423207666416102355444464034512896) (neg.f64 (/.f64 z (/.f64 y x))) x)))) |
x |
| Outputs |
|---|
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -inf.0) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208) (/.f64 (*.f64 x (-.f64 y z)) y) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 500000000000000) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968) (-.f64 x (/.f64 1 (/.f64 y (*.f64 z x)))) (*.f64 (-.f64 1 (/.f64 z y)) x))))) |
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -inf.0) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208) (/.f64 (*.f64 x (-.f64 y z)) y) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 500000000000000) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968) (-.f64 x (/.f64 1 (/.f64 y (*.f64 x z)))) (*.f64 x (-.f64 1 (/.f64 z y))))))) |
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -inf.0) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208) (/.f64 (*.f64 x (-.f64 y z)) y) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 5088519546561747/56539106072908298546665520023773392506479484700019806659891398441363832832) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968) (/.f64 (*.f64 x (-.f64 y z)) y) (*.f64 (-.f64 1 (/.f64 z y)) x))))) |
(if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -inf.0) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) -20000000000000000292613904613497460619400859757293101185572215743395927285022964318208) (/.f64 (*.f64 x (-.f64 y z)) y) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 5088519546561747/56539106072908298546665520023773392506479484700019806659891398441363832832) (-.f64 x (/.f64 x (/.f64 y z))) (if (<=.f64 (/.f64 (*.f64 x (-.f64 y z)) y) 199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968) (/.f64 (*.f64 x (-.f64 y z)) y) (*.f64 x (-.f64 1 (/.f64 z y))))))) |
(if (<=.f64 z -999999999999999945575230987042816) (-.f64 x (/.f64 z (/.f64 y x))) (-.f64 x (/.f64 x (/.f64 y z)))) |
(if (<=.f64 z -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776) (neg.f64 (/.f64 z (/.f64 y x))) (-.f64 x (/.f64 x (/.f64 y z)))) |
(if (<=.f64 z -999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776) (/.f64 (neg.f64 z) (/.f64 y x)) (-.f64 x (/.f64 x (/.f64 y z)))) |
(if (<=.f64 y -4282319427412280567845647024128) x (if (<=.f64 y 5982738351088065/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (neg.f64 (/.f64 z (/.f64 y x))) (if (<=.f64 y 7695704335233297/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) x (if (<=.f64 y 1945901537969871/6277101735386680763835789423207666416102355444464034512896) (neg.f64 (/.f64 z (/.f64 y x))) x)))) |
(if (<=.f64 y -4282319427412280567845647024128) x (if (<=.f64 y 5982738351088065/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072) (/.f64 (neg.f64 z) (/.f64 y x)) (if (<=.f64 y 7695704335233297/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) x (if (<=.f64 y 1945901537969871/6277101735386680763835789423207666416102355444464034512896) (/.f64 (neg.f64 z) (/.f64 y x)) x)))) |
x |
Compiled 237 to 100 computations (57.8% saved)
| 4× | egg-herbie |
| 816× | fma-def_binary64 |
| 816× | fma-def_binary64 |
| 816× | fma-def_binary64 |
| 681× | fma-neg_binary64 |
| 681× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 12 | 10 |
| 2 | 27 | 10 |
| 3 | 60 | 10 |
| 4 | 132 | 10 |
| 5 | 240 | 10 |
| 6 | 438 | 10 |
| 7 | 1254 | 10 |
| 8 | 6014 | 10 |
| 0 | 16 | 582 |
| 1 | 35 | 582 |
| 2 | 66 | 582 |
| 3 | 116 | 582 |
| 4 | 224 | 582 |
| 5 | 410 | 582 |
| 6 | 803 | 582 |
| 7 | 1079 | 582 |
| 8 | 1271 | 582 |
| 9 | 1390 | 582 |
| 10 | 1404 | 582 |
| 11 | 1409 | 582 |
| 0 | 7 | 10 |
| 1 | 12 | 10 |
| 2 | 27 | 10 |
| 3 | 60 | 10 |
| 4 | 132 | 10 |
| 5 | 240 | 10 |
| 6 | 438 | 10 |
| 7 | 1254 | 10 |
| 8 | 6014 | 10 |
| 0 | 7 | 10 |
| 1 | 12 | 10 |
| 2 | 27 | 10 |
| 3 | 60 | 10 |
| 4 | 132 | 10 |
| 5 | 240 | 10 |
| 6 | 438 | 10 |
| 7 | 1254 | 10 |
| 8 | 6014 | 10 |
| 1× | node limit |
| 1× | node limit |
| 1× | saturated |
| 1× | node limit |
Compiled 276 to 162 computations (41.3% saved)
Compiled 222 to 68 computations (69.4% saved)
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