Time bar (total: 4.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 99.8% | 0.2% | 4 |
| 0% | 99.8% | 0.2% | 5 |
| 0% | 99.8% | 0.2% | 6 |
| 0% | 99.8% | 0.2% | 7 |
| 0% | 99.8% | 0.2% | 8 |
| 0% | 99.8% | 0.2% | 9 |
| 0% | 99.8% | 0.2% | 10 |
| 9.4% | 90.4% | 0.2% | 11 |
| 15.2% | 84.6% | 0.2% | 12 |
| 21.6% | 77.8% | 0.5% | 13 |
| 25.2% | 74.2% | 0.6% | 14 |
Compiled 20 to 14 computations (30% saved)
| 1.3s | 8256× | body | 128 | valid |
| 489.0ms | 3079× | body | 128 | invalid |
| 2× | egg-herbie |
| 447× | distribute-neg-frac_binary64 |
| 318× | sub-neg_binary64 |
| 281× | div-sub_binary64 |
| 279× | fma-def_binary64 |
| 225× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 154 |
| 1 | 122 | 154 |
| 2 | 290 | 154 |
| 3 | 609 | 154 |
| 4 | 1387 | 133 |
| 5 | 3618 | 133 |
| 0 | 4 | 4 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
3 |
| Outputs |
|---|
0 |
1 |
2 |
3 |
| Inputs |
|---|
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y))) |
(+.f64 (-.f64 y (/.f64 x (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) x))) |
(+.f64 (-.f64 z (/.f64 y (*.f64 x 3))) (/.f64 t (*.f64 (*.f64 x 3) y))) |
(+.f64 (-.f64 t (/.f64 y (*.f64 z 3))) (/.f64 x (*.f64 (*.f64 z 3) y))) |
(+.f64 (-.f64 x (/.f64 z (*.f64 y 3))) (/.f64 t (*.f64 (*.f64 y 3) z))) |
(+.f64 (-.f64 x (/.f64 t (*.f64 z 3))) (/.f64 y (*.f64 (*.f64 z 3) t))) |
(+.f64 (-.f64 x (/.f64 y (*.f64 t 3))) (/.f64 z (*.f64 (*.f64 t 3) y))) |
| Outputs |
|---|
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y))) |
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 y (*.f64 z 3)))) |
(+.f64 (+.f64 x (*.f64 -1/3 (/.f64 y z))) (/.f64 t (*.f64 y (*.f64 z 3)))) |
(+.f64 x (*.f64 -1/3 (-.f64 (/.f64 y z) (/.f64 t (*.f64 y z))))) |
(+.f64 (-.f64 y (/.f64 x (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) x))) |
(+.f64 (-.f64 y (/.f64 x (*.f64 z 3))) (/.f64 t (*.f64 x (*.f64 z 3)))) |
(+.f64 y (-.f64 (/.f64 t (*.f64 z (*.f64 x 3))) (/.f64 x (*.f64 z 3)))) |
(+.f64 y (*.f64 -1/3 (-.f64 (/.f64 x z) (/.f64 (/.f64 t x) z)))) |
(+.f64 (-.f64 z (/.f64 y (*.f64 x 3))) (/.f64 t (*.f64 (*.f64 x 3) y))) |
(+.f64 (-.f64 z (/.f64 y (*.f64 x 3))) (/.f64 t (*.f64 x (*.f64 y 3)))) |
(+.f64 (-.f64 z (/.f64 y (*.f64 x 3))) (/.f64 (/.f64 t y) (*.f64 x 3))) |
(+.f64 (-.f64 z (/.f64 y (*.f64 x 3))) (/.f64 (/.f64 t 3) (*.f64 x y))) |
(+.f64 z (*.f64 -1/3 (-.f64 (/.f64 y x) (/.f64 t (*.f64 x y))))) |
(+.f64 (-.f64 t (/.f64 y (*.f64 z 3))) (/.f64 x (*.f64 (*.f64 z 3) y))) |
(+.f64 (-.f64 t (/.f64 y (*.f64 z 3))) (/.f64 x (*.f64 y (*.f64 z 3)))) |
(+.f64 t (+.f64 (/.f64 x (*.f64 y (*.f64 z 3))) (*.f64 -1/3 (/.f64 y z)))) |
(+.f64 t (*.f64 -1/3 (-.f64 (/.f64 y z) (/.f64 x (*.f64 y z))))) |
(+.f64 (-.f64 x (/.f64 z (*.f64 y 3))) (/.f64 t (*.f64 (*.f64 y 3) z))) |
(+.f64 (/.f64 t (*.f64 y (*.f64 z 3))) (-.f64 x (/.f64 z (*.f64 y 3)))) |
(+.f64 x (*.f64 -1/3 (-.f64 (/.f64 z y) (/.f64 t (*.f64 y z))))) |
(+.f64 (-.f64 x (/.f64 t (*.f64 z 3))) (/.f64 y (*.f64 (*.f64 z 3) t))) |
(+.f64 (-.f64 x (/.f64 t (*.f64 z 3))) (/.f64 y (*.f64 z (*.f64 3 t)))) |
(+.f64 (-.f64 x (/.f64 t (*.f64 z 3))) (/.f64 (/.f64 (/.f64 y 3) t) z)) |
(+.f64 (*.f64 -1/3 (/.f64 t z)) (-.f64 x (*.f64 -1/3 (/.f64 y (*.f64 z t))))) |
(+.f64 x (*.f64 -1/3 (-.f64 (/.f64 t z) (/.f64 y (*.f64 z t))))) |
(+.f64 (-.f64 x (/.f64 y (*.f64 t 3))) (/.f64 z (*.f64 (*.f64 t 3) y))) |
(+.f64 (-.f64 x (/.f64 y (*.f64 3 t))) (/.f64 z (*.f64 y (*.f64 3 t)))) |
(+.f64 (-.f64 x (/.f64 (/.f64 y 3) t)) (/.f64 z (*.f64 3 (*.f64 t y)))) |
(+.f64 (-.f64 x (/.f64 (/.f64 y 3) t)) (/.f64 z (*.f64 t (*.f64 y 3)))) |
(+.f64 (+.f64 x (*.f64 -1/3 (/.f64 y t))) (/.f64 z (*.f64 y (*.f64 3 t)))) |
(+.f64 x (*.f64 -1/3 (-.f64 (/.f64 y t) (/.f64 z (*.f64 y t))))) |
Compiled 19 to 13 computations (31.6% saved)
| 1× | egg-herbie |
| 587× | div-sub_binary64 |
| 387× | fma-def_binary64 |
| 326× | fma-neg_binary64 |
| 244× | distribute-neg-frac_binary64 |
| 227× | associate-/l*_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 22 |
| 1 | 25 | 22 |
| 2 | 59 | 22 |
| 3 | 116 | 22 |
| 4 | 255 | 20 |
| 5 | 552 | 16 |
| 6 | 1238 | 14 |
| 7 | 3482 | 14 |
| 8 | 4716 | 14 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y))) |
| Outputs |
|---|
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y))) |
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 y (*.f64 z 3)))) |
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 (/.f64 t y) z) 3)) |
(+.f64 (+.f64 x (*.f64 -1/3 (/.f64 y z))) (/.f64 t (*.f64 y (*.f64 z 3)))) |
(+.f64 x (fma.f64 -1/3 (/.f64 y z) (/.f64 t (*.f64 y (*.f64 z 3))))) |
(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) |
(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) |
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 |
|---|---|---|
| ▶ | 2.9b | (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) |
| 3.8b | (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y))) |
Compiled 95 to 62 computations (34.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 -1/3 z) |
| ✓ | 2.7b | (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) |
| 1.0ms | t | @ | inf | (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) |
| 1.0ms | z | @ | 0 | (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) |
| 1.0ms | y | @ | 0 | (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) |
| 1.0ms | t | @ | 0 | (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) |
| 1× | batch-egg-rewrite |
| 610× | prod-diff_binary64 |
| 210× | expm1-udef_binary64 |
| 210× | log1p-udef_binary64 |
| 118× | add-sqr-sqrt_binary64 |
| 114× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 18 |
| 1 | 223 | 18 |
| 2 | 3095 | 18 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) |
(/.f64 -1/3 z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) (cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 2)) (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) (*.f64 x x)) (-.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/3 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/3 z)) (pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 2) (cbrt.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/3 z)) (sqrt.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/3 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/3 z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/3 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/3 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/3 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/3 z))))))) |
| 1× | egg-herbie |
| 484× | fma-def_binary64 |
| 469× | fma-neg_binary64 |
| 357× | times-frac_binary64 |
| 321× | div-sub_binary64 |
| 263× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 571 |
| 1 | 45 | 571 |
| 2 | 96 | 571 |
| 3 | 175 | 571 |
| 4 | 326 | 571 |
| 5 | 602 | 571 |
| 6 | 1214 | 571 |
| 7 | 2277 | 571 |
| 8 | 4830 | 571 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(*.f64 -1/3 (/.f64 y z)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(*.f64 -1/3 (/.f64 y z)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
| Outputs |
|---|
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) |
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y)) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z)) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(/.f64 (*.f64 1/3 t) (*.f64 y z)) |
(*.f64 (/.f64 1/3 z) (/.f64 t y)) |
(*.f64 1/3 (/.f64 (/.f64 t y) z)) |
(/.f64 1/3 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x) |
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x) |
(fma.f64 1/3 (/.f64 (/.f64 t y) z) x) |
(fma.f64 (/.f64 t y) (/.f64 1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(*.f64 -1/3 (/.f64 y z)) |
(/.f64 (*.f64 -1/3 y) z) |
(*.f64 y (/.f64 -1/3 z)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 y (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(*.f64 -1/3 (/.f64 y z)) |
(/.f64 (*.f64 -1/3 y) z) |
(*.f64 y (/.f64 -1/3 z)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 y (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 y (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(/.f64 (*.f64 1/3 t) (*.f64 y z)) |
(*.f64 (/.f64 1/3 z) (/.f64 t y)) |
(*.f64 1/3 (/.f64 (/.f64 t y) z)) |
(/.f64 1/3 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(/.f64 (*.f64 1/3 t) (*.f64 y z)) |
(*.f64 (/.f64 1/3 z) (/.f64 t y)) |
(*.f64 1/3 (/.f64 (/.f64 t y) z)) |
(/.f64 1/3 (/.f64 (*.f64 y z) t)) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) |
(*.f64 (/.f64 1/3 z) (-.f64 (/.f64 t y) y)) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z)) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 55 | 4 | 59 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 55 | 6 | 61 |
| Status | Error | Program |
|---|---|---|
| 3.8b | (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y))) | |
| 3.8b | (+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) | |
| ✓ | 2.9b | (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) |
| 29.7b | (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) | |
| 4.0b | (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 3) | |
| ▶ | 3.0b | (fma.f64 (pow.f64 (*.f64 z -3) -1) (-.f64 y (/.f64 t y)) x) |
Compiled 974 to 477 computations (51% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (pow.f64 (*.f64 z -3) -1) |
| ✓ | 2.7b | (fma.f64 (pow.f64 (*.f64 z -3) -1) (-.f64 y (/.f64 t y)) x) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (fma.f64 (pow.f64 (*.f64 z -3) -1) (-.f64 y (/.f64 t y)) x) |
| 1.0ms | z | @ | -inf | (fma.f64 (pow.f64 (*.f64 z -3) -1) (-.f64 y (/.f64 t y)) x) |
| 1.0ms | t | @ | 0 | (fma.f64 (pow.f64 (*.f64 z -3) -1) (-.f64 y (/.f64 t y)) x) |
| 1.0ms | z | @ | inf | (fma.f64 (pow.f64 (*.f64 z -3) -1) (-.f64 y (/.f64 t y)) x) |
| 0.0ms | x | @ | 0 | (fma.f64 (pow.f64 (*.f64 z -3) -1) (-.f64 y (/.f64 t y)) x) |
| 1× | batch-egg-rewrite |
| 601× | prod-diff_binary64 |
| 235× | log1p-udef_binary64 |
| 135× | add-sqr-sqrt_binary64 |
| 129× | pow1_binary64 |
| 128× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 24 |
| 1 | 262 | 18 |
| 2 | 3430 | 18 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (pow.f64 (*.f64 z -3) -1) (-.f64 y (/.f64 t y)) x) |
(pow.f64 (*.f64 z -3) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 2) (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) (*.f64 x x)) (-.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/3 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/3 z)) (pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 2) (cbrt.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/3 z)) (sqrt.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z -3)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 z -3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 z -3)) -1) (pow.f64 (sqrt.f64 (*.f64 z -3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 z -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 z -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 z -3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 z) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 -1/3 z)) (sqrt.f64 (*.f64 z -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 z -3)) 2)) (cbrt.f64 (*.f64 z -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z -3) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/3 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/3 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/3 z))))))) |
| 1× | egg-herbie |
| 484× | fma-def_binary64 |
| 469× | fma-neg_binary64 |
| 358× | times-frac_binary64 |
| 318× | div-sub_binary64 |
| 269× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 619 |
| 1 | 46 | 619 |
| 2 | 97 | 619 |
| 3 | 175 | 619 |
| 4 | 326 | 619 |
| 5 | 602 | 619 |
| 6 | 1217 | 619 |
| 7 | 2280 | 619 |
| 8 | 4842 | 619 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(*.f64 -1/3 (/.f64 y z)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(*.f64 -1/3 (/.f64 y z)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
| Outputs |
|---|
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 (/.f64 t z) y)) |
(*.f64 1/3 (/.f64 (/.f64 t y) z)) |
(*.f64 t (/.f64 (/.f64 1/3 y) z)) |
(+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x) |
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x) |
(fma.f64 1/3 (/.f64 (/.f64 t z) y) x) |
(fma.f64 1/3 (/.f64 (/.f64 t y) z) x) |
(fma.f64 t (/.f64 (/.f64 1/3 y) z) x) |
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(*.f64 -1/3 (/.f64 y z)) |
(*.f64 y (/.f64 -1/3 z)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(*.f64 -1/3 (/.f64 y z)) |
(*.f64 y (/.f64 -1/3 z)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 (/.f64 t z) y)) |
(*.f64 1/3 (/.f64 (/.f64 t y) z)) |
(*.f64 t (/.f64 (/.f64 1/3 y) z)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 (/.f64 t z) y)) |
(*.f64 1/3 (/.f64 (/.f64 t y) z)) |
(*.f64 t (/.f64 (/.f64 1/3 y) z)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 59 | 2 | 61 |
| Fresh | 0 | 4 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 60 | 7 | 67 |
| Status | Error | Program |
|---|---|---|
| 49.3b | (*.f64 t (/.f64 (/.f64 1/3 y) z)) | |
| 29.7b | (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) | |
| 3.8b | (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y))) | |
| 3.8b | (+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) | |
| ✓ | 2.9b | (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) |
| 4.0b | (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 3) | |
| ▶ | 2.9b | (fma.f64 (/.f64 (/.f64 1 z) -3) (-.f64 y (/.f64 t y)) x) |
Compiled 1049 to 529 computations (49.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 (/.f64 1 z) -3) |
| ✓ | 2.7b | (fma.f64 (/.f64 (/.f64 1 z) -3) (-.f64 y (/.f64 t y)) x) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (fma.f64 (/.f64 (/.f64 1 z) -3) (-.f64 y (/.f64 t y)) x) |
| 0.0ms | z | @ | -inf | (fma.f64 (/.f64 (/.f64 1 z) -3) (-.f64 y (/.f64 t y)) x) |
| 0.0ms | y | @ | -inf | (fma.f64 (/.f64 (/.f64 1 z) -3) (-.f64 y (/.f64 t y)) x) |
| 0.0ms | t | @ | inf | (fma.f64 (/.f64 (/.f64 1 z) -3) (-.f64 y (/.f64 t y)) x) |
| 0.0ms | z | @ | inf | (fma.f64 (/.f64 (/.f64 1 z) -3) (-.f64 y (/.f64 t y)) x) |
| 1× | batch-egg-rewrite |
| 613× | prod-diff_binary64 |
| 234× | log1p-udef_binary64 |
| 135× | add-sqr-sqrt_binary64 |
| 129× | *-un-lft-identity_binary64 |
| 129× | pow1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 24 |
| 1 | 264 | 18 |
| 2 | 3552 | 18 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (/.f64 (/.f64 1 z) -3) (-.f64 y (/.f64 t y)) x) |
(/.f64 (/.f64 1 z) -3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 2) (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))) (*.f64 x x)) (-.f64 (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/3 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/3 z)) (pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 2) (cbrt.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 z -2)) (*.f64 (/.f64 1 (cbrt.f64 z)) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/3 z)) (sqrt.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z -1/2) (*.f64 (pow.f64 z -1/2) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/3 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/3 z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/3 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/3 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 z -2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/3 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/3 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/3 z))))))) |
| 1× | egg-herbie |
| 484× | fma-def_binary64 |
| 469× | fma-neg_binary64 |
| 358× | times-frac_binary64 |
| 318× | div-sub_binary64 |
| 269× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 619 |
| 1 | 46 | 619 |
| 2 | 97 | 619 |
| 3 | 175 | 619 |
| 4 | 326 | 619 |
| 5 | 602 | 619 |
| 6 | 1217 | 619 |
| 7 | 2280 | 619 |
| 8 | 4842 | 619 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(*.f64 -1/3 (/.f64 y z)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(*.f64 -1/3 (/.f64 y z)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
| Outputs |
|---|
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 (/.f64 t z) y)) |
(*.f64 1/3 (/.f64 (/.f64 t y) z)) |
(*.f64 t (/.f64 (/.f64 1/3 y) z)) |
(+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x) |
(fma.f64 1/3 (/.f64 t (*.f64 y z)) x) |
(fma.f64 1/3 (/.f64 (/.f64 t z) y) x) |
(fma.f64 1/3 (/.f64 (/.f64 t y) z) x) |
(fma.f64 t (/.f64 (/.f64 1/3 y) z) x) |
(fma.f64 (/.f64 1/3 y) (/.f64 t z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(*.f64 -1/3 (/.f64 y z)) |
(*.f64 y (/.f64 -1/3 z)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(*.f64 -1/3 (/.f64 y z)) |
(*.f64 y (/.f64 -1/3 z)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 (/.f64 t z) y)) |
(*.f64 1/3 (/.f64 (/.f64 t y) z)) |
(*.f64 t (/.f64 (/.f64 1/3 y) z)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 (/.f64 t z) y)) |
(*.f64 1/3 (/.f64 (/.f64 t y) z)) |
(*.f64 t (/.f64 (/.f64 1/3 y) z)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) x) |
(fma.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 -1/3 z) x) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
(/.f64 -1/3 z) |
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 62 | 0 | 62 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 62 | 7 | 69 |
| Status | Error | Program |
|---|---|---|
| 49.3b | (*.f64 t (/.f64 (/.f64 1/3 y) z)) | |
| 29.7b | (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) | |
| ▶ | 3.8b | (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y))) |
| 3.8b | (+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) | |
| ✓ | 2.9b | (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) |
| 4.0b | (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 3) | |
| ✓ | 2.9b | (fma.f64 (/.f64 (/.f64 1 z) -3) (-.f64 y (/.f64 t y)) x) |
Compiled 1027 to 507 computations (50.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 y (*.f64 z 3))) |
| ✓ | 0.4b | (*.f64 (*.f64 z 3) y) |
| ✓ | 0.5b | (/.f64 y (*.f64 z 3)) |
| ✓ | 7.1b | (/.f64 t (*.f64 (*.f64 z 3) y)) |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | t | @ | 0 | (/.f64 t (*.f64 (*.f64 z 3) y)) |
| 2.0ms | y | @ | 0 | (/.f64 t (*.f64 (*.f64 z 3) y)) |
| 2.0ms | x | @ | inf | (-.f64 x (/.f64 y (*.f64 z 3))) |
| 1.0ms | t | @ | inf | (/.f64 t (*.f64 (*.f64 z 3) y)) |
| 1.0ms | z | @ | 0 | (/.f64 t (*.f64 (*.f64 z 3) y)) |
| 1× | batch-egg-rewrite |
| 595× | prod-diff_binary64 |
| 232× | log1p-udef_binary64 |
| 132× | egg-rr |
| 129× | add-sqr-sqrt_binary64 |
| 127× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 34 |
| 1 | 246 | 34 |
| 2 | 3671 | 34 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 t (*.f64 (*.f64 z 3) y)) |
(/.f64 y (*.f64 z 3)) |
(*.f64 (*.f64 z 3) y) |
(-.f64 x (/.f64 y (*.f64 z 3))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/3 z) (/.f64 t y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (/.f64 (/.f64 1/3 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 z) (/.f64 t y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 1/3 z) (/.f64 t y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 1/3 z) (/.f64 t y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/3 z) (/.f64 t y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/3 z) (/.f64 t y))) 2) (cbrt.f64 (*.f64 (/.f64 1/3 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 (cbrt.f64 t) (/.f64 (/.f64 1/3 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 1/3 z) (/.f64 t y))) (sqrt.f64 (*.f64 (/.f64 1/3 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 1/3 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 t) (/.f64 1 (*.f64 y (*.f64 z -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 z) (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/3 z) y) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t (/.f64 1/3 z)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 t (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) z) (/.f64 (cbrt.f64 t) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) z) (/.f64 (sqrt.f64 t) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) 1) (/.f64 (cbrt.f64 t) (*.f64 z (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) 1) (/.f64 (sqrt.f64 t) (*.f64 z (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) (*.f64 z 3)) (/.f64 (sqrt.f64 t) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (*.f64 z 3)) (/.f64 (cbrt.f64 t) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (sqrt.f64 t) (*.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 t (/.f64 1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) y) (/.f64 (cbrt.f64 t) (*.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 3 y))) 2)) (/.f64 t (cbrt.f64 (*.f64 z (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 3 y))) 2)) (cbrt.f64 (*.f64 (/.f64 1/3 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 (*.f64 z (*.f64 3 y))) 2)) (/.f64 (sqrt.f64 t) (cbrt.f64 (*.f64 z (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 z (*.f64 3 y)))) (/.f64 t (sqrt.f64 (*.f64 z (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (sqrt.f64 (*.f64 z (*.f64 3 y)))) (/.f64 (cbrt.f64 t) (sqrt.f64 (*.f64 z (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/3 z) (/.f64 t y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1/3 z) (/.f64 t y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1/3 z) (/.f64 t y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 1/3 z) (/.f64 t y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (/.f64 t (*.f64 3 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 t (*.f64 y (*.f64 z -3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 1/3 z) (/.f64 t y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (/.f64 (/.f64 1/3 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/3 z) (/.f64 t y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 1/3 z) (/.f64 t y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 t 3) (pow.f64 (*.f64 z (*.f64 3 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1/3 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/3 z) (/.f64 t y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1/3 z) (/.f64 t y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1/3 z) (/.f64 t y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y z) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y z) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y z) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y z) 1/3)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y z) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y z) 1/3)) 2) (cbrt.f64 (*.f64 (/.f64 y z) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y z) 1/3)) (sqrt.f64 (*.f64 (/.f64 y z) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 z -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 z) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (*.f64 z z) 9))) (/.f64 y (cbrt.f64 (*.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 z 3))) (/.f64 y (sqrt.f64 (*.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) z) (/.f64 (cbrt.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 3) (/.f64 (sqrt.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 3) (/.f64 (cbrt.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 (*.f64 z z) 9))) (cbrt.f64 (*.f64 (/.f64 y z) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (*.f64 z z) 9))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 z 3))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y z) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y z) 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y z) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 y z) 3) 27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (/.f64 z y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 z -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y z) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y z) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 y z) 3) 27))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y z) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y z) 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y z) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y z) 1/3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (*.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (*.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (*.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (*.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (*.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 z 3) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 z 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 3 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (*.f64 3 y)))))))) |
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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 y z) 1/3))) (sqrt.f64 (-.f64 x (*.f64 (/.f64 y z) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (/.f64 (pow.f64 (/.f64 y z) 3) 27)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (/.f64 y z) 1/3) (+.f64 (*.f64 (/.f64 y z) 1/3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) 1/3) 2)) (/.f64 1 (+.f64 (*.f64 (/.f64 y z) 1/3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y z) 1/3))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 y z) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 y z) 1/3) (+.f64 (*.f64 (/.f64 y z) 1/3) x))) (-.f64 (pow.f64 x 3) (/.f64 (pow.f64 (/.f64 y z) 3) 27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (/.f64 y z) 1/3) x) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) 1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (/.f64 (pow.f64 (/.f64 y z) 3) 27)) (fma.f64 x x (*.f64 (*.f64 (/.f64 y z) 1/3) (+.f64 (*.f64 (/.f64 y z) 1/3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) 1/3) 2)) (+.f64 (*.f64 (/.f64 y z) 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (/.f64 (pow.f64 (/.f64 y z) 3) 27))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (/.f64 y z) 1/3) (+.f64 (*.f64 (/.f64 y z) 1/3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 y z) 1/3) 2))) (neg.f64 (+.f64 (*.f64 (/.f64 y z) 1/3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 (/.f64 y z)) 3) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 (/.f64 y z)) 3) (/.f64 (neg.f64 (/.f64 y z)) 3)) (*.f64 x (/.f64 (neg.f64 (/.f64 y z)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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(/.f64 y z) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 (/.f64 y z) 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 (/.f64 y z) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 (/.f64 y z) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (neg.f64 (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (/.f64 y z)) 3)))))) |
| 1× | egg-herbie |
| 19× | associate-/l*_binary64 |
| 16× | *-commutative_binary64 |
| 12× | associate-*r/_binary64 |
| 10× | associate-/r/_binary64 |
| 9× | associate-*l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 945 |
| 1 | 33 | 945 |
| 2 | 66 | 945 |
| 3 | 100 | 945 |
| 4 | 127 | 945 |
| 5 | 130 | 945 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 1/3 (/.f64 y z)) |
(*.f64 1/3 (/.f64 y z)) |
(*.f64 1/3 (/.f64 y z)) |
(*.f64 1/3 (/.f64 y z)) |
(*.f64 1/3 (/.f64 y z)) |
(*.f64 1/3 (/.f64 y z)) |
(*.f64 1/3 (/.f64 y z)) |
(*.f64 1/3 (/.f64 y z)) |
(*.f64 1/3 (/.f64 y z)) |
(*.f64 1/3 (/.f64 y z)) |
(*.f64 1/3 (/.f64 y z)) |
(*.f64 1/3 (/.f64 y z)) |
(*.f64 1/3 (/.f64 y z)) |
(*.f64 1/3 (/.f64 y z)) |
(*.f64 1/3 (/.f64 y z)) |
(*.f64 1/3 (/.f64 y z)) |
(*.f64 1/3 (/.f64 y z)) |
(*.f64 1/3 (/.f64 y z)) |
(*.f64 1/3 (/.f64 y z)) |
(*.f64 1/3 (/.f64 y z)) |
(*.f64 1/3 (/.f64 y z)) |
(*.f64 1/3 (/.f64 y z)) |
(*.f64 1/3 (/.f64 y z)) |
(*.f64 1/3 (/.f64 y z)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 -1/3 (/.f64 y z)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(*.f64 -1/3 (/.f64 y z)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(*.f64 -1/3 (/.f64 y z)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(*.f64 -1/3 (/.f64 y z)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
| Outputs |
|---|
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 1/3 z)) |
(/.f64 (/.f64 1/3 y) (/.f64 z t)) |
(*.f64 1/3 (/.f64 y z)) |
(/.f64 (*.f64 1/3 y) z) |
(*.f64 y (/.f64 1/3 z)) |
(*.f64 1/3 (/.f64 y z)) |
(/.f64 (*.f64 1/3 y) z) |
(*.f64 y (/.f64 1/3 z)) |
(*.f64 1/3 (/.f64 y z)) |
(/.f64 (*.f64 1/3 y) z) |
(*.f64 y (/.f64 1/3 z)) |
(*.f64 1/3 (/.f64 y z)) |
(/.f64 (*.f64 1/3 y) z) |
(*.f64 y (/.f64 1/3 z)) |
(*.f64 1/3 (/.f64 y z)) |
(/.f64 (*.f64 1/3 y) z) |
(*.f64 y (/.f64 1/3 z)) |
(*.f64 1/3 (/.f64 y z)) |
(/.f64 (*.f64 1/3 y) z) |
(*.f64 y (/.f64 1/3 z)) |
(*.f64 1/3 (/.f64 y z)) |
(/.f64 (*.f64 1/3 y) z) |
(*.f64 y (/.f64 1/3 z)) |
(*.f64 1/3 (/.f64 y z)) |
(/.f64 (*.f64 1/3 y) z) |
(*.f64 y (/.f64 1/3 z)) |
(*.f64 1/3 (/.f64 y z)) |
(/.f64 (*.f64 1/3 y) z) |
(*.f64 y (/.f64 1/3 z)) |
(*.f64 1/3 (/.f64 y z)) |
(/.f64 (*.f64 1/3 y) z) |
(*.f64 y (/.f64 1/3 z)) |
(*.f64 1/3 (/.f64 y z)) |
(/.f64 (*.f64 1/3 y) z) |
(*.f64 y (/.f64 1/3 z)) |
(*.f64 1/3 (/.f64 y z)) |
(/.f64 (*.f64 1/3 y) z) |
(*.f64 y (/.f64 1/3 z)) |
(*.f64 1/3 (/.f64 y z)) |
(/.f64 (*.f64 1/3 y) z) |
(*.f64 y (/.f64 1/3 z)) |
(*.f64 1/3 (/.f64 y z)) |
(/.f64 (*.f64 1/3 y) z) |
(*.f64 y (/.f64 1/3 z)) |
(*.f64 1/3 (/.f64 y z)) |
(/.f64 (*.f64 1/3 y) z) |
(*.f64 y (/.f64 1/3 z)) |
(*.f64 1/3 (/.f64 y z)) |
(/.f64 (*.f64 1/3 y) z) |
(*.f64 y (/.f64 1/3 z)) |
(*.f64 1/3 (/.f64 y z)) |
(/.f64 (*.f64 1/3 y) z) |
(*.f64 y (/.f64 1/3 z)) |
(*.f64 1/3 (/.f64 y z)) |
(/.f64 (*.f64 1/3 y) z) |
(*.f64 y (/.f64 1/3 z)) |
(*.f64 1/3 (/.f64 y z)) |
(/.f64 (*.f64 1/3 y) z) |
(*.f64 y (/.f64 1/3 z)) |
(*.f64 1/3 (/.f64 y z)) |
(/.f64 (*.f64 1/3 y) z) |
(*.f64 y (/.f64 1/3 z)) |
(*.f64 1/3 (/.f64 y z)) |
(/.f64 (*.f64 1/3 y) z) |
(*.f64 y (/.f64 1/3 z)) |
(*.f64 1/3 (/.f64 y z)) |
(/.f64 (*.f64 1/3 y) z) |
(*.f64 y (/.f64 1/3 z)) |
(*.f64 1/3 (/.f64 y z)) |
(/.f64 (*.f64 1/3 y) z) |
(*.f64 y (/.f64 1/3 z)) |
(*.f64 1/3 (/.f64 y z)) |
(/.f64 (*.f64 1/3 y) z) |
(*.f64 y (/.f64 1/3 z)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 (*.f64 y z) 3) |
(*.f64 y (*.f64 z 3)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 (*.f64 y z) 3) |
(*.f64 y (*.f64 z 3)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 (*.f64 y z) 3) |
(*.f64 y (*.f64 z 3)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 (*.f64 y z) 3) |
(*.f64 y (*.f64 z 3)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 (*.f64 y z) 3) |
(*.f64 y (*.f64 z 3)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 (*.f64 y z) 3) |
(*.f64 y (*.f64 z 3)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 (*.f64 y z) 3) |
(*.f64 y (*.f64 z 3)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 (*.f64 y z) 3) |
(*.f64 y (*.f64 z 3)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 (*.f64 y z) 3) |
(*.f64 y (*.f64 z 3)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 (*.f64 y z) 3) |
(*.f64 y (*.f64 z 3)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 (*.f64 y z) 3) |
(*.f64 y (*.f64 z 3)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 (*.f64 y z) 3) |
(*.f64 y (*.f64 z 3)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 (*.f64 y z) 3) |
(*.f64 y (*.f64 z 3)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 (*.f64 y z) 3) |
(*.f64 y (*.f64 z 3)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 (*.f64 y z) 3) |
(*.f64 y (*.f64 z 3)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 (*.f64 y z) 3) |
(*.f64 y (*.f64 z 3)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 (*.f64 y z) 3) |
(*.f64 y (*.f64 z 3)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 (*.f64 y z) 3) |
(*.f64 y (*.f64 z 3)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 (*.f64 y z) 3) |
(*.f64 y (*.f64 z 3)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 (*.f64 y z) 3) |
(*.f64 y (*.f64 z 3)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 (*.f64 y z) 3) |
(*.f64 y (*.f64 z 3)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 (*.f64 y z) 3) |
(*.f64 y (*.f64 z 3)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 (*.f64 y z) 3) |
(*.f64 y (*.f64 z 3)) |
(*.f64 3 (*.f64 y z)) |
(*.f64 (*.f64 y z) 3) |
(*.f64 y (*.f64 z 3)) |
(*.f64 -1/3 (/.f64 y z)) |
(*.f64 (/.f64 y z) -1/3) |
(/.f64 y (/.f64 z -1/3)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
(*.f64 -1/3 (/.f64 y z)) |
(*.f64 (/.f64 y z) -1/3) |
(/.f64 y (/.f64 z -1/3)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
(*.f64 -1/3 (/.f64 y z)) |
(*.f64 (/.f64 y z) -1/3) |
(/.f64 y (/.f64 z -1/3)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
(*.f64 -1/3 (/.f64 y z)) |
(*.f64 (/.f64 y z) -1/3) |
(/.f64 y (/.f64 z -1/3)) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
x |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
(+.f64 (*.f64 -1/3 (/.f64 y z)) x) |
(fma.f64 -1/3 (/.f64 y z) x) |
(fma.f64 (/.f64 y z) -1/3 x) |
(fma.f64 y (/.f64 -1/3 z) x) |
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 236 | 2 | 238 |
| Fresh | 0 | 4 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 237 | 8 | 245 |
| Status | Error | Program |
|---|---|---|
| 49.3b | (*.f64 t (/.f64 (/.f64 1/3 y) z)) | |
| 29.7b | (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)) | |
| 3.8b | (+.f64 (-.f64 x (*.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 t (*.f64 (*.f64 z 3) y))) | |
| 4.0b | (pow.f64 (cbrt.f64 (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)) 3) | |
| ✓ | 2.9b | (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) |
| 3.8b | (+.f64 (*.f64 -1/3 (/.f64 y z)) (+.f64 (*.f64 1/3 (/.f64 t (*.f64 y z))) x)) | |
| 3.8b | (+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 3 (*.f64 y z)))) | |
| ✓ | 2.9b | (fma.f64 (/.f64 (/.f64 1 z) -3) (-.f64 y (/.f64 t y)) x) |
Compiled 7503 to 4423 computations (41.1% saved)
Total -50.5b remaining (-5253.7%)
Threshold costs -50.5b (-5253.7%)
Compiled 478 to 250 computations (47.7% saved)
| 2× | left-value |
2 calls:
| 0.0ms | (*.f64 z 3) |
| 0.0ms | (*.f64 z 3) |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
5e-6 | ∈ [ | 4.921202112625175e-6 | , | 5.727744976769207e-5 | ] | |
-4e+148 | ∈ [ | -4.636253317134467e+148 | , | -6.046885218279122e+139 | ] | |
Compiled 23 to 16 computations (30.4% saved)
| 1× | egg-herbie |
| 13× | +-commutative_binary64 |
| 11× | *-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 81 |
| 1 | 54 | 79 |
| 2 | 78 | 79 |
| 3 | 94 | 79 |
| 4 | 103 | 79 |
| 5 | 105 | 79 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 z 3) -40000000000000001959069063006020823182889080141229755549801694983606730543735390246449261169891058551724522587260411070482137316746503408684091047936) (+.f64 (+.f64 x (/.f64 (neg.f64 (/.f64 y z)) 3)) (/.f64 t (*.f64 (*.f64 z 3) y))) (if (<=.f64 (*.f64 z 3) 5902958103587057/1180591620717411303424) (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) (+.f64 (-.f64 x (*.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 t (*.f64 (*.f64 z 3) y))))) |
| Outputs |
|---|
(if (<=.f64 (*.f64 z 3) -40000000000000001959069063006020823182889080141229755549801694983606730543735390246449261169891058551724522587260411070482137316746503408684091047936) (+.f64 (+.f64 x (/.f64 (neg.f64 (/.f64 y z)) 3)) (/.f64 t (*.f64 (*.f64 z 3) y))) (if (<=.f64 (*.f64 z 3) 5902958103587057/1180591620717411303424) (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) (+.f64 (-.f64 x (*.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 t (*.f64 (*.f64 z 3) y))))) |
(if (<=.f64 (*.f64 z 3) -40000000000000001959069063006020823182889080141229755549801694983606730543735390246449261169891058551724522587260411070482137316746503408684091047936) (+.f64 (+.f64 x (/.f64 (neg.f64 (/.f64 y z)) 3)) (/.f64 t (*.f64 (*.f64 z 3) y))) (if (<=.f64 (*.f64 z 3) 5902958103587057/1180591620717411303424) (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) (+.f64 (/.f64 t (*.f64 (*.f64 z 3) y)) (-.f64 x (*.f64 (/.f64 1 z) (/.f64 y 3)))))) |
(if (<=.f64 (*.f64 z 3) -40000000000000001959069063006020823182889080141229755549801694983606730543735390246449261169891058551724522587260411070482137316746503408684091047936) (+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (*.f64 (*.f64 z 3) y))) (if (<=.f64 (*.f64 z 3) 5902958103587057/1180591620717411303424) (fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x) (+.f64 (/.f64 t (*.f64 (*.f64 z 3) y)) (+.f64 x (*.f64 (/.f64 y 3) (/.f64 -1 z)))))) |
| 1× | fuel |
Compiled 214 to 126 computations (41.1% saved)
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