Time bar (total: 10.4s)
| 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 |
| 25% | 74.9% | 0.1% | 5 |
| 37.5% | 62.4% | 0.1% | 6 |
| 50% | 46.8% | 3.2% | 7 |
| 56.2% | 37.5% | 6.3% | 8 |
| 62.4% | 25.8% | 11.8% | 9 |
| 65.6% | 20.3% | 14.1% | 10 |
| 68.7% | 13.5% | 17.9% | 11 |
| 70.2% | 10.5% | 19.2% | 12 |
Compiled 14 to 11 computations (21.4% saved)
| 905.0ms | 8256× | body | 256 | valid |
| 77.0ms | 605× | body | 256 | invalid |
| 2× | egg-herbie |
| 620× | fma-def_binary64 |
| 612× | fma-neg_binary64 |
| 500× | div-sub_binary64 |
| 478× | distribute-rgt-in_binary64 |
| 460× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 32 |
| 1 | 41 | 32 |
| 2 | 133 | 32 |
| 3 | 393 | 32 |
| 4 | 1405 | 32 |
| 5 | 6450 | 32 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
(/.f64 (*.f64 (-.f64 1 y) (-.f64 3 y)) (*.f64 x 3)) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3)) |
(/.f64 (-.f64 3 x) (/.f64 3 (/.f64 (-.f64 1 x) y))) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (*.f64 3 y))) |
(/.f64 (*.f64 (-.f64 1 y) (-.f64 3 y)) (*.f64 x 3)) |
(*.f64 (/.f64 (-.f64 1 y) x) (/.f64 (-.f64 3 y) 3)) |
(*.f64 (/.f64 (-.f64 3 y) x) (/.f64 (-.f64 1 y) 3)) |
(*.f64 (/.f64 (-.f64 3 y) x) (-.f64 1/3 (/.f64 y 3))) |
(*.f64 (-.f64 1 y) (*.f64 (-.f64 3 y) (/.f64 1/3 x))) |
(*.f64 (-.f64 1 y) (/.f64 (-.f64 3 y) (*.f64 x 3))) |
Compiled 15 to 12 computations (20% saved)
| 1× | egg-herbie |
| 420× | unsub-neg_binary64 |
| 339× | associate-/l*_binary64 |
| 308× | fma-def_binary64 |
| 306× | fma-neg_binary64 |
| 295× | associate-*l/_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 16 |
| 1 | 24 | 16 |
| 2 | 71 | 16 |
| 3 | 204 | 16 |
| 4 | 732 | 16 |
| 5 | 3323 | 14 |
| 6 | 7935 | 14 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3)) |
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3))) |
(*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y)) |
(*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))) |
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) |
Compiled 23 to 17 computations (26.1% 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 |
|---|---|---|
| ▶ | 6.0b | (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
| ▶ | 6.1b | (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) |
Compiled 25 to 19 computations (24% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 1/3 y) |
| ✓ | 5.7b | (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) |
Compiled 29 to 20 computations (31% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) |
| 1.0ms | y | @ | -inf | (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) |
| 1.0ms | x | @ | 0 | (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) |
| 1.0ms | x | @ | -inf | (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) |
| 1.0ms | y | @ | inf | (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) |
| 1× | batch-egg-rewrite |
| 554× | unpow-prod-down_binary64 |
| 459× | log-prod_binary64 |
| 355× | exp-prod_binary64 |
| 278× | pow2_binary64 |
| 256× | pow-prod-down_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 18 |
| 1 | 221 | 18 |
| 2 | 2708 | 18 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) |
(/.f64 1/3 y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (+.f64 x -4)) (/.f64 1/3 y)) (*.f64 3 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 y) (*.f64 x (+.f64 x -4))) (*.f64 (/.f64 1/3 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (+.f64 x -4) 3) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (fma.f64 x (+.f64 x -4) 3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) -1/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 2)) (cbrt.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))) (sqrt.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/3 y)) (fma.f64 x (+.f64 x -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 y) (*.f64 x (+.f64 x -4)) (*.f64 (/.f64 1/3 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (+.f64 x -4)) (/.f64 1/3 y) (*.f64 3 (/.f64 1/3 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 y)) (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 y)) 2) (cbrt.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 y)) (sqrt.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (pow.f64 (/.f64 1 (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/3 y) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/3 y) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 1/9 (pow.f64 y -2)) 1/3) 1/3) (cbrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 1/3 y) (cbrt.f64 (/.f64 1/3 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 1/3 y) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 1/3) 3) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/3 y))) 2) 3) (cbrt.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/3 y))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 1/3) 2) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2) -1) (cbrt.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (pow.f64 y -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/3 y))) 2)) (cbrt.f64 (log.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 1/3 y)))) (sqrt.f64 (log.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 1/3 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 1/3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/3 y)) 1) 1)))))) |
| 1× | egg-herbie |
| 1096× | fma-def_binary64 |
| 503× | distribute-neg-frac_binary64 |
| 359× | associate-/l*_binary64 |
| 350× | *-commutative_binary64 |
| 340× | associate-*l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 485 |
| 1 | 50 | 483 |
| 2 | 94 | 447 |
| 3 | 178 | 447 |
| 4 | 451 | 270 |
| 5 | 1511 | 270 |
| 6 | 3867 | 270 |
| 7 | 5694 | 270 |
| 8 | 5914 | 270 |
| 9 | 6202 | 270 |
| 10 | 6545 | 270 |
| 11 | 7347 | 270 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
| Outputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 5.6b | (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
Compiled 33 to 23 computations (30.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
| 1.0ms | y | @ | -inf | (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
| 1× | batch-egg-rewrite |
| 626× | log-prod_binary64 |
| 365× | pow-prod-down_binary64 |
| 302× | pow2_binary64 |
| 230× | prod-diff_binary64 |
| 211× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 16 |
| 1 | 224 | 16 |
| 2 | 3285 | 16 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))) 2) (cbrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 2) (*.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) (/.f64 1/3 y)))))) (#(struct:change #<rule 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y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 3 x) 1) (/.f64 (-.f64 1 x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) y) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) 3) (/.f64 (-.f64 3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 2) 3) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 3) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 2) y) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) -2) (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (cbrt.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) (/.f64 (-.f64 3 x) (cbrt.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 3 x) (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 2) (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) (cbrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) (cbrt.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 3 y) -1/2) (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (sqrt.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (*.f64 3 y))) (/.f64 (-.f64 3 x) (sqrt.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 3 x) (sqrt.f64 (*.f64 3 y))) (/.f64 (-.f64 1 x) (sqrt.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 2) (sqrt.f64 (*.f64 3 y))) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) (sqrt.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 3 (-.f64 1 x)) (/.f64 y (-.f64 3 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3) (pow.f64 (*.f64 3 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 3 (-.f64 1 x)) (/.f64 y (-.f64 3 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3) (pow.f64 (*.f64 3 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y)))) 1)))))) |
| 1× | egg-herbie |
| 753× | unsub-neg_binary64 |
| 712× | fma-def_binary64 |
| 334× | distribute-neg-out_binary64 |
| 331× | distribute-rgt-neg-out_binary64 |
| 309× | distribute-rgt-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 401 |
| 1 | 49 | 399 |
| 2 | 110 | 387 |
| 3 | 320 | 387 |
| 4 | 1147 | 343 |
| 5 | 4526 | 343 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
| Outputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 1/3 y) (*.f64 x x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 1/3 y) (*.f64 x x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
Compiled 2499 to 1905 computations (23.8% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 156 | 10 | 166 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 157 | 11 | 168 |
| Status | Error | Program |
|---|---|---|
| 0.4b | (*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x)) | |
| ✓ | 6.0b | (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
| 45.1b | (*.f64 (*.f64 x x) (/.f64 1/3 y)) | |
| 1.4b | (*.f64 (/.f64 (-.f64 3 x) (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (*.f64 3 y)))) | |
| ▶ | 0.4b | (*.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 1/3) |
| ▶ | 0.2b | (-.f64 (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x))))) |
| 39.0b | (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) | |
| ▶ | 39.3b | (*.f64 (/.f64 x y) (*.f64 x 1/3)) |
| 0.4b | (*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3)) | |
| ▶ | 23.2b | (+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
| ▶ | 23.5b | (/.f64 1 y) |
Compiled 265 to 200 computations (24.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x))))) |
| ✓ | 0.1b | (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x)))) |
| ✓ | 0.1b | (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) |
| ✓ | 0.2b | (*.f64 3 (/.f64 y (-.f64 3 x))) |
Compiled 58 to 41 computations (29.3% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (*.f64 3 (/.f64 y (-.f64 3 x))) |
| 2.0ms | x | @ | -inf | (-.f64 (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x))))) |
| 1.0ms | y | @ | 0 | (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x)))) |
| 1.0ms | y | @ | 0 | (*.f64 3 (/.f64 y (-.f64 3 x))) |
| 1.0ms | y | @ | inf | (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x)))) |
| 1× | batch-egg-rewrite |
| 686× | log-prod_binary64 |
| 428× | fma-def_binary64 |
| 335× | log-div_binary64 |
| 247× | fma-neg_binary64 |
| 237× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 49 |
| 1 | 261 | 49 |
| 2 | 4098 | 49 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (/.f64 y (-.f64 3 x))) |
(/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) |
(/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x)))) |
(-.f64 (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 3 y) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (exp.f64 (/.f64 y (-.f64 3 x))) (exp.f64 (/.f64 y (-.f64 3 x))))) (/.f64 y (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (/.f64 y (-.f64 3 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (/.f64 y (-.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 3 y) (-.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (/.f64 (-.f64 3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (-.f64 3 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 3 y) (-.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 1/3 y) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 3 x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 3 y) (-.f64 3 x))) 2) (cbrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (*.f64 3 y) (-.f64 3 x))) (sqrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y (-.f64 3 x)) -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 y) (-.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 3 y)) (neg.f64 (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 3 y) 1) (-.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 (-.f64 3 x)) 2)) (cbrt.f64 (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 3 y) (sqrt.f64 (-.f64 3 x))) (sqrt.f64 (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) 3) (neg.f64 (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (neg.f64 y)) (neg.f64 (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 3 y) (-.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 3 y) (-.f64 3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 3 y) (-.f64 3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 3 y) (-.f64 3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 3 x) (*.f64 3 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 3 y) (-.f64 3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 3 y) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 3 y) (-.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 3 y) (-.f64 3 x))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1/3 y) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 1/3 y) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 3 y) (-.f64 3 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 3 y) (-.f64 3 x)) -2)) (cbrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) (sqrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (/.f64 y (-.f64 3 x)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 3 x) y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 (-.f64 3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (*.f64 3 y) (-.f64 3 x))) 2)) (cbrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 3 y)) (-.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) (-.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (neg.f64 y)) (neg.f64 (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 3 y) (-.f64 3 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 3 y) (-.f64 3 x)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 (/.f64 y (-.f64 3 x)) -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 3 y) (-.f64 3 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 3 y) (-.f64 3 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 3 y) (-.f64 3 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x (*.f64 3 y)) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (*.f64 3 y)) (-.f64 3 x)))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (*.f64 3 y)) (-.f64 3 x)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (*.f64 3 y)) (-.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (*.f64 3 y)) (-.f64 3 x))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (*.f64 3 y)) (-.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (*.f64 3 y)) (-.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1/3 y) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x (*.f64 3 y)) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 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| 1× | egg-herbie |
| 506× | associate-*l*_binary64 |
| 380× | associate-*r*_binary64 |
| 330× | div-sub_binary64 |
| 312× | associate-/l*_binary64 |
| 242× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 1220 |
| 1 | 200 | 1180 |
| 2 | 526 | 1140 |
| 3 | 1706 | 1127 |
| 4 | 6207 | 1106 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 y (*.f64 1/3 (*.f64 y x))) |
(+.f64 y (+.f64 (*.f64 1/9 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 (*.f64 y x)))) |
(+.f64 y (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 1/9 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 (*.f64 y x))))) |
(*.f64 -3 (/.f64 y x)) |
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -9 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3))))) |
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 3))) (*.f64 -81 (/.f64 y (pow.f64 x 4)))))) |
(*.f64 -3 (/.f64 y x)) |
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -9 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3))))) |
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 3))) (*.f64 -81 (/.f64 y (pow.f64 x 4)))))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(/.f64 1 y) |
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y)) |
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y)) |
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y)) |
(*.f64 -1/3 (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(*.f64 -1/3 (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(/.f64 x y) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3 (-.f64 3 x)) (*.f64 -1/3 (*.f64 x (-.f64 3 x)))) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3 (-.f64 3 x)) (*.f64 -1/3 (*.f64 x (-.f64 3 x)))) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3 (-.f64 3 x)) (*.f64 -1/3 (*.f64 x (-.f64 3 x)))) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3 (-.f64 3 x)) (*.f64 -1/3 (*.f64 x (-.f64 3 x)))) y)) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 1/3 (*.f64 y x))) |
(+.f64 y (*.f64 (*.f64 1/3 y) x)) |
(fma.f64 1/3 (*.f64 y x) y) |
(fma.f64 y (*.f64 1/3 x) y) |
(+.f64 y (+.f64 (*.f64 1/9 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 (*.f64 y x)))) |
(+.f64 y (fma.f64 1/9 (*.f64 y (*.f64 x x)) (*.f64 (*.f64 1/3 y) x))) |
(+.f64 y (fma.f64 1/9 (*.f64 y (*.f64 x x)) (*.f64 x (*.f64 y 1/3)))) |
(fma.f64 y (*.f64 1/3 x) (fma.f64 (*.f64 x (*.f64 y 1/9)) x y)) |
(+.f64 y (*.f64 (*.f64 y x) (+.f64 (*.f64 x 1/9) 1/3))) |
(+.f64 y (*.f64 y (*.f64 x (+.f64 (*.f64 x 1/9) 1/3)))) |
(+.f64 y (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 1/9 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 (*.f64 y x))))) |
(+.f64 y (fma.f64 1/27 (*.f64 y (pow.f64 x 3)) (fma.f64 1/9 (*.f64 y (*.f64 x x)) (*.f64 (*.f64 1/3 y) x)))) |
(+.f64 y (fma.f64 1/27 (*.f64 y (pow.f64 x 3)) (fma.f64 1/9 (*.f64 y (*.f64 x x)) (*.f64 x (*.f64 y 1/3))))) |
(fma.f64 y (*.f64 1/27 (pow.f64 x 3)) (fma.f64 y (*.f64 1/3 x) (fma.f64 (*.f64 x (*.f64 y 1/9)) x y))) |
(+.f64 y (*.f64 y (+.f64 (*.f64 (*.f64 x x) (+.f64 1/9 (*.f64 x 1/27))) (*.f64 1/3 x)))) |
(+.f64 y (*.f64 y (+.f64 (*.f64 x (+.f64 (*.f64 x 1/9) 1/3)) (*.f64 1/27 (pow.f64 x 3))))) |
(*.f64 -3 (/.f64 y x)) |
(/.f64 y (/.f64 x -3)) |
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -9 (/.f64 y (pow.f64 x 2)))) |
(fma.f64 -3 (/.f64 y x) (*.f64 -9 (/.f64 y (*.f64 x x)))) |
(fma.f64 -9 (/.f64 y (*.f64 x x)) (*.f64 -3 (/.f64 y x))) |
(*.f64 (/.f64 y x) (+.f64 (/.f64 -9 x) -3)) |
(*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x))) |
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3))))) |
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 -27 y) (pow.f64 x 3)))) |
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 y -27) (pow.f64 x 3)))) |
(fma.f64 -27 (/.f64 y (pow.f64 x 3)) (*.f64 (/.f64 y x) (+.f64 (/.f64 -9 x) -3))) |
(*.f64 (/.f64 y x) (+.f64 -3 (+.f64 (/.f64 -9 x) (/.f64 -27 (*.f64 x x))))) |
(*.f64 (/.f64 y x) (+.f64 (+.f64 -3 (/.f64 -9 x)) (/.f64 -27 (*.f64 x x)))) |
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 3))) (*.f64 -81 (/.f64 y (pow.f64 x 4)))))) |
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (fma.f64 -27 (/.f64 y (pow.f64 x 3)) (/.f64 (*.f64 -81 y) (pow.f64 x 4))))) |
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (fma.f64 -27 (/.f64 y (pow.f64 x 3)) (/.f64 (*.f64 y -81) (pow.f64 x 4))))) |
(fma.f64 -3 (/.f64 y x) (fma.f64 -81 (/.f64 y (pow.f64 x 4)) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -9 (/.f64 -27 x))))) |
(+.f64 (*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x))) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -27 (/.f64 -81 x)))) |
(*.f64 -3 (/.f64 y x)) |
(/.f64 y (/.f64 x -3)) |
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -9 (/.f64 y (pow.f64 x 2)))) |
(fma.f64 -3 (/.f64 y x) (*.f64 -9 (/.f64 y (*.f64 x x)))) |
(fma.f64 -9 (/.f64 y (*.f64 x x)) (*.f64 -3 (/.f64 y x))) |
(*.f64 (/.f64 y x) (+.f64 (/.f64 -9 x) -3)) |
(*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x))) |
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3))))) |
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 -27 y) (pow.f64 x 3)))) |
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 y -27) (pow.f64 x 3)))) |
(fma.f64 -27 (/.f64 y (pow.f64 x 3)) (*.f64 (/.f64 y x) (+.f64 (/.f64 -9 x) -3))) |
(*.f64 (/.f64 y x) (+.f64 -3 (+.f64 (/.f64 -9 x) (/.f64 -27 (*.f64 x x))))) |
(*.f64 (/.f64 y x) (+.f64 (+.f64 -3 (/.f64 -9 x)) (/.f64 -27 (*.f64 x x)))) |
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 3))) (*.f64 -81 (/.f64 y (pow.f64 x 4)))))) |
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (fma.f64 -27 (/.f64 y (pow.f64 x 3)) (/.f64 (*.f64 -81 y) (pow.f64 x 4))))) |
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (fma.f64 -27 (/.f64 y (pow.f64 x 3)) (/.f64 (*.f64 y -81) (pow.f64 x 4))))) |
(fma.f64 -3 (/.f64 y x) (fma.f64 -81 (/.f64 y (pow.f64 x 4)) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -9 (/.f64 -27 x))))) |
(+.f64 (*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x))) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -27 (/.f64 -81 x)))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(/.f64 1 y) |
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(*.f64 -1/3 (/.f64 x y)) |
(/.f64 -1/3 (/.f64 y x)) |
(*.f64 (/.f64 -1/3 y) x) |
(*.f64 x (/.f64 -1/3 y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(*.f64 -1/3 (/.f64 x y)) |
(/.f64 -1/3 (/.f64 y x)) |
(*.f64 (/.f64 -1/3 y) x) |
(*.f64 x (/.f64 -1/3 y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(/.f64 x y) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 (*.f64 x x) y) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 x (/.f64 y x)) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 (/.f64 x y) x) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 x (/.f64 x y)) (/.f64 x y)) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 x y))) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 (*.f64 x x) y) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 x (/.f64 y x)) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 (/.f64 x y) x) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 x (/.f64 x y)) (/.f64 x y)) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 x y))) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 (*.f64 x x) y) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 x (/.f64 y x)) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 (/.f64 x y) x) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 x (/.f64 x y)) (/.f64 x y)) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 x y))) |
(*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 -1/3 (/.f64 x (/.f64 y x))) |
(*.f64 (*.f64 (/.f64 -1/3 y) x) x) |
(*.f64 x (*.f64 x (/.f64 -1/3 y))) |
(/.f64 x (/.f64 (/.f64 y -1/3) x)) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 (*.f64 x x) y) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 x (/.f64 y x)) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 (/.f64 x y) x) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 x (/.f64 x y)) (/.f64 x y)) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 x y))) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 (*.f64 x x) y) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 x (/.f64 y x)) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 (/.f64 x y) x) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 x (/.f64 x y)) (/.f64 x y)) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 x y))) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 (*.f64 x x) y) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 x (/.f64 y x)) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 (/.f64 x y) x) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 x (/.f64 x y)) (/.f64 x y)) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 x y))) |
(*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 -1/3 (/.f64 x (/.f64 y x))) |
(*.f64 (*.f64 (/.f64 -1/3 y) x) x) |
(*.f64 x (*.f64 x (/.f64 -1/3 y))) |
(/.f64 x (/.f64 (/.f64 y -1/3) x)) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 (*.f64 x x) y) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 x (/.f64 y x)) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 (/.f64 x y) x) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 x (/.f64 x y)) (/.f64 x y)) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 x y))) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 (*.f64 x x) y) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 x (/.f64 y x)) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 (/.f64 x y) x) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 x (/.f64 x y)) (/.f64 x y)) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 x y))) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 (*.f64 x x) y) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 x (/.f64 y x)) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 (/.f64 x y) x) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 x (/.f64 x y)) (/.f64 x y)) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 x y))) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(fma.f64 -1/3 (/.f64 (*.f64 x x) y) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 x (/.f64 y x)) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 (/.f64 x y) x) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 x (/.f64 x y)) (/.f64 x y)) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 x y))) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(fma.f64 -1/3 (/.f64 (*.f64 x x) y) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 x (/.f64 y x)) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 (/.f64 x y) x) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 x (/.f64 x y)) (/.f64 x y)) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 x y))) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(fma.f64 -1/3 (/.f64 (*.f64 x x) y) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 x (/.f64 y x)) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 (/.f64 x y) x) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 x (/.f64 x y)) (/.f64 x y)) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 x y))) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(fma.f64 -1/3 (/.f64 (*.f64 x x) y) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 x (/.f64 y x)) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 (/.f64 x y) x) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 x (/.f64 x y)) (/.f64 x y)) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 x y))) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(fma.f64 -1/3 (/.f64 (*.f64 x x) y) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 x (/.f64 y x)) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 (/.f64 x y) x) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 x (/.f64 x y)) (/.f64 x y)) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 x y))) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(fma.f64 -1/3 (/.f64 (*.f64 x x) y) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 x (/.f64 y x)) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 (/.f64 x y) x) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 x (/.f64 x y)) (/.f64 x y)) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 x y))) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(fma.f64 -1/3 (/.f64 (*.f64 x x) y) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 x (/.f64 y x)) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 (/.f64 x y) x) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 x (/.f64 x y)) (/.f64 x y)) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 x y))) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(fma.f64 -1/3 (/.f64 (*.f64 x x) y) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 x (/.f64 y x)) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 (/.f64 x y) x) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 x (/.f64 x y)) (/.f64 x y)) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 x y))) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(fma.f64 -1/3 (/.f64 (*.f64 x x) y) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 x (/.f64 y x)) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 (/.f64 x y) x) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 x (/.f64 x y)) (/.f64 x y)) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 x y))) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(fma.f64 -1/3 (/.f64 (*.f64 x x) y) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 x (/.f64 y x)) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 (/.f64 x y) x) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 x (/.f64 x y)) (/.f64 x y)) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 x y))) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(fma.f64 -1/3 (/.f64 (*.f64 x x) y) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 x (/.f64 y x)) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 (/.f64 x y) x) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 x (/.f64 x y)) (/.f64 x y)) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 x y))) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(fma.f64 -1/3 (/.f64 (*.f64 x x) y) (/.f64 x y)) |
(fma.f64 -1/3 (/.f64 x (/.f64 y x)) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 (/.f64 x y) x) (/.f64 x y)) |
(fma.f64 -1/3 (*.f64 x (/.f64 x y)) (/.f64 x y)) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 x y))) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y) |
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y) |
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3))) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y) |
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y) |
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3))) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y) |
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y) |
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3))) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y) |
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y) |
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3))) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y) |
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y) |
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3))) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y) |
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y) |
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3))) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y) |
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y) |
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3))) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y) |
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y) |
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3 (-.f64 3 x)) (*.f64 -1/3 (*.f64 x (-.f64 3 x)))) y)) |
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y) |
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y) |
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3 (-.f64 3 x)) (*.f64 -1/3 (*.f64 x (-.f64 3 x)))) y)) |
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y) |
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y) |
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3 (-.f64 3 x)) (*.f64 -1/3 (*.f64 x (-.f64 3 x)))) y)) |
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y) |
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y) |
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3 (-.f64 3 x)) (*.f64 -1/3 (*.f64 x (-.f64 3 x)))) y)) |
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y) |
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y) |
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3)) |
(fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3)) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 x y) -4/3)) |
(*.f64 x (+.f64 (/.f64 -4/3 y) (*.f64 1/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3)) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 x y) -4/3)) |
(*.f64 x (+.f64 (/.f64 -4/3 y) (*.f64 1/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
Compiled 7 to 5 computations (28.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 x y) (*.f64 x 1/3)) |
| ✓ | 0.3b | (*.f64 x 1/3) |
Compiled 18 to 9 computations (50% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (*.f64 (/.f64 x y) (*.f64 x 1/3)) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 x y) (*.f64 x 1/3)) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 x y) (*.f64 x 1/3)) |
| 1.0ms | y | @ | inf | (*.f64 (/.f64 x y) (*.f64 x 1/3)) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 x y) (*.f64 x 1/3)) |
| 1× | batch-egg-rewrite |
| 781× | pow1_binary64 |
| 724× | add-log-exp_binary64 |
| 724× | log1p-expm1-u_binary64 |
| 724× | expm1-log1p-u_binary64 |
| 708× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 14 |
| 1 | 149 | 14 |
| 2 | 1937 | 14 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x 1/3) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 1/3 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 1/3)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (*.f64 x 1/3))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x 1/3)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x 1/3)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x 1/3)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (*.f64 x 1/3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 1/3) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 1/3 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 1/3 (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/3 (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 (/.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 1/3 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 1/3 (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 1/3) 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 (*.f64 x 1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 1/3 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 1/3 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 1/3 (/.f64 x y))))))))) |
| 1× | egg-herbie |
| 771× | sqr-pow_binary64 |
| 562× | associate-*l*_binary64 |
| 474× | *-commutative_binary64 |
| 416× | unswap-sqr_binary64 |
| 366× | associate-*l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 288 |
| 1 | 18 | 288 |
| 2 | 32 | 288 |
| 3 | 62 | 288 |
| 4 | 178 | 288 |
| 5 | 664 | 288 |
| 6 | 2471 | 288 |
| 7 | 3898 | 288 |
| 8 | 4054 | 288 |
| 9 | 4264 | 288 |
| 10 | 4482 | 288 |
| 11 | 4808 | 288 |
| 12 | 5204 | 288 |
| 13 | 5814 | 288 |
| 14 | 6530 | 288 |
| 15 | 7338 | 288 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
| Outputs |
|---|
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/3 x) x) y) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (*.f64 1/3 x)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/3 x) x) y) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (*.f64 1/3 x)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/3 x) x) y) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (*.f64 1/3 x)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/3 x) x) y) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (*.f64 1/3 x)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/3 x) x) y) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (*.f64 1/3 x)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/3 x) x) y) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (*.f64 1/3 x)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/3 x) x) y) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (*.f64 1/3 x)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/3 x) x) y) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (*.f64 1/3 x)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/3 x) x) y) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (*.f64 1/3 x)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/3 x) x) y) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (*.f64 1/3 x)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/3 x) x) y) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (*.f64 1/3 x)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/3 x) x) y) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (*.f64 1/3 x)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/3 x) x) y) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (*.f64 1/3 x)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/3 x) x) y) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (*.f64 1/3 x)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/3 x) x) y) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (*.f64 1/3 x)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/3 x) x) y) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (*.f64 1/3 x)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/3 x) x) y) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (*.f64 1/3 x)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/3 x) x) y) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (*.f64 1/3 x)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/3 x) x) y) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (*.f64 1/3 x)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/3 x) x) y) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (*.f64 1/3 x)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/3 x) x) y) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (*.f64 1/3 x)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/3 x) x) y) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (*.f64 1/3 x)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/3 x) x) y) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (*.f64 1/3 x)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/3 x) x) y) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (*.f64 1/3 x)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
| ✓ | 0.3b | (*.f64 -4/3 (/.f64 x y)) |
Compiled 26 to 14 computations (46.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 -4/3 (/.f64 x y)) |
| 1.0ms | y | @ | 0 | (*.f64 -4/3 (/.f64 x y)) |
| 1.0ms | y | @ | inf | (*.f64 -4/3 (/.f64 x y)) |
| 1.0ms | x | @ | inf | (*.f64 -4/3 (/.f64 x y)) |
| 0.0ms | x | @ | -inf | (*.f64 -4/3 (/.f64 x y)) |
| 1× | batch-egg-rewrite |
| 912× | prod-diff_binary64 |
| 454× | log-prod_binary64 |
| 279× | pow-prod-down_binary64 |
| 253× | fma-def_binary64 |
| 246× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 195 | 18 |
| 2 | 2671 | 18 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -4/3 (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 -4/3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 -4/3 x) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 -4/3 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 -4/3 x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 -4/3 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 -4/3 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4/3 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 -4/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4/3 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -4/3 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4/3 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4/3 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4/3 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) -4/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4/3 (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -4/3 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 -4/3 x) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 -4/3 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 -4/3 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 -4/3 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 -4/3 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 -4/3 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 -4/3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 -4/3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 -4/3 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 -4/3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 -4/3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 -4/3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 -4/3 x) y)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 y -2) (/.f64 (-.f64 1 (*.f64 -4/3 x)) y)) (/.f64 (pow.f64 (/.f64 (*.f64 -4/3 x) y) 2) (/.f64 (-.f64 1 (*.f64 -4/3 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) 2) (cbrt.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) (sqrt.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -64/27 (pow.f64 y -3)) (/.f64 1 (fma.f64 (/.f64 (*.f64 -4/3 x) y) (-.f64 (/.f64 (*.f64 -4/3 x) y) (/.f64 1 y)) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 y -2) (pow.f64 (/.f64 (*.f64 -4/3 x) y) 2)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 -4/3 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 (*.f64 -4/3 x) y) (-.f64 (/.f64 (*.f64 -4/3 x) y) (/.f64 1 y)) (pow.f64 y -2)) (fma.f64 (pow.f64 (/.f64 x y) 3) -64/27 (pow.f64 y -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 1 (*.f64 -4/3 x)) y) (-.f64 (pow.f64 y -2) (pow.f64 (/.f64 (*.f64 -4/3 x) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -64/27 (pow.f64 y -3)) (fma.f64 (/.f64 (*.f64 -4/3 x) y) (-.f64 (/.f64 (*.f64 -4/3 x) y) (/.f64 1 y)) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -64/27 (pow.f64 y -3)) (fma.f64 (pow.f64 (/.f64 x y) 2) 16/9 (-.f64 (pow.f64 y -2) (/.f64 (/.f64 (*.f64 -4/3 x) y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y -2) (pow.f64 (/.f64 (*.f64 -4/3 x) y) 2)) (/.f64 (-.f64 1 (*.f64 -4/3 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -64/27 (pow.f64 y -3))) (neg.f64 (fma.f64 (/.f64 (*.f64 -4/3 x) y) (-.f64 (/.f64 (*.f64 -4/3 x) y) (/.f64 1 y)) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 y -2) (pow.f64 (/.f64 (*.f64 -4/3 x) y) 2))) (neg.f64 (/.f64 (-.f64 1 (*.f64 -4/3 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 -4/3 x) y y) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 -4/3 x) (neg.f64 y) (*.f64 y -1)) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y (*.f64 y (*.f64 -4/3 x))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 y (*.f64 (neg.f64 y) (*.f64 -4/3 x))) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (*.f64 -4/3 x) y) 2) (pow.f64 y -2)) (-.f64 (/.f64 (*.f64 -4/3 x) y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 (*.f64 -4/3 x) y) (-.f64 (/.f64 (*.f64 -4/3 x) y) (/.f64 1 y)) (pow.f64 y -2)) (fma.f64 (pow.f64 (/.f64 x y) 3) -64/27 (pow.f64 y -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 -4/3 x)) y) (-.f64 (pow.f64 y -2) (pow.f64 (/.f64 (*.f64 -4/3 x) y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 -4/3 x) y))) (exp.f64 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 -4/3 x) y)) (+.f64 1 (expm1.f64 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 -4/3 x) y))) (+.f64 1 (expm1.f64 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 y))) (exp.f64 (/.f64 (*.f64 -4/3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1 y)) (+.f64 1 (expm1.f64 (/.f64 (*.f64 -4/3 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 y))) (+.f64 1 (expm1.f64 (/.f64 (*.f64 -4/3 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (/.f64 1 y) -4/3) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 -4/3 x) y) 1 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 -4/3 x) y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 y) (/.f64 (*.f64 -4/3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) 1 (/.f64 (*.f64 -4/3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 y)) (cbrt.f64 (pow.f64 y -2)) (/.f64 (*.f64 -4/3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (/.f64 1 y)) (/.f64 (*.f64 -4/3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) -4/3) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (*.f64 -4/3 x) y)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 -4/3 x) y)) 2) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 -4/3 x) y)) 2) (cbrt.f64 (/.f64 (*.f64 -4/3 x) y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (/.f64 (*.f64 -4/3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) -4/3) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 -4/3 x) y)) (sqrt.f64 (/.f64 (*.f64 -4/3 x) y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 y)) (/.f64 (*.f64 -4/3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4/3 x) (/.f64 1 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (cbrt.f64 (/.f64 1 y)) (/.f64 (*.f64 -4/3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4/3 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4/3 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4/3 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4/3 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (/.f64 1 y)))))) |
| 1× | egg-herbie |
| 262× | fma-def_binary64 |
| 237× | fma-neg_binary64 |
| 69× | cancel-sign-sub-inv_binary64 |
| 53× | associate-/l*_binary64 |
| 49× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 138 |
| 1 | 33 | 114 |
| 2 | 57 | 114 |
| 3 | 95 | 114 |
| 4 | 176 | 114 |
| 5 | 350 | 114 |
| 6 | 724 | 114 |
| 7 | 1145 | 114 |
| 8 | 1318 | 114 |
| 9 | 1351 | 114 |
| 10 | 1407 | 114 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y)) |
(/.f64 1 y) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
| Outputs |
|---|
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y)) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y)) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y)) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y)) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(/.f64 1 y) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 x (/.f64 -4/3 y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 x (/.f64 -4/3 y)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 y (-.f64 3 x)) |
| ✓ | 0.3b | (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) |
| ✓ | 0.4b | (*.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 1/3) |
Compiled 38 to 26 computations (31.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) |
| 1.0ms | y | @ | -inf | (/.f64 y (-.f64 3 x)) |
| 1.0ms | y | @ | inf | (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) |
| 1.0ms | y | @ | -inf | (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) |
| 0.0ms | y | @ | inf | (/.f64 y (-.f64 3 x)) |
| 1× | batch-egg-rewrite |
| 641× | log-prod_binary64 |
| 511× | prod-diff_binary64 |
| 327× | pow2_binary64 |
| 294× | egg-rr |
| 228× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 36 |
| 1 | 250 | 36 |
| 2 | 3545 | 36 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 1/3) |
(/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) |
(/.f64 y (-.f64 3 x)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 3 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 3 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (-.f64 3 x))) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 3 x))) 2) (cbrt.f64 (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (-.f64 3 x))) (sqrt.f64 (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 3 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2)) (/.f64 y (cbrt.f64 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 3 x)) 2)) (cbrt.f64 (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 3 x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 3 x))) (/.f64 y (sqrt.f64 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 3 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 27 (pow.f64 x 3))) (fma.f64 x (+.f64 x 3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 9 (*.f64 x x))) (+.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (-.f64 3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (-.f64 3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (-.f64 3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 3 x) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 3 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 3 x) y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (-.f64 3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (-.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 3 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 3 x))) 1)))))) |
| 1× | egg-herbie |
| 778× | fma-def_binary64 |
| 545× | distribute-lft-out_binary64 |
| 363× | distribute-rgt-out_binary64 |
| 331× | associate-*l*_binary64 |
| 313× | cancel-sign-sub-inv_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 971 |
| 1 | 173 | 967 |
| 2 | 411 | 930 |
| 3 | 1209 | 877 |
| 4 | 4681 | 858 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(/.f64 3 y) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -4 (/.f64 x y))) |
(+.f64 (*.f64 3 (/.f64 1 y)) (+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 3 (/.f64 1 y)) (+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y))) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y))) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(*.f64 1/3 y) |
(+.f64 (*.f64 1/9 (*.f64 y x)) (*.f64 1/3 y)) |
(+.f64 (*.f64 1/9 (*.f64 y x)) (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 y))) |
(+.f64 (*.f64 1/9 (*.f64 y x)) (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 1/3 y) (*.f64 1/81 (*.f64 y (pow.f64 x 3)))))) |
(*.f64 -1 (/.f64 y x)) |
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))) |
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) |
(+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 4))) (+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
(*.f64 -1 (/.f64 y x)) |
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))) |
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) |
(+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 4))) (+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
| Outputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y)))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y)))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 x (/.f64 1/3 (/.f64 y x))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(*.f64 x (+.f64 (/.f64 -4/3 y) (/.f64 1/3 (/.f64 y x)))) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y)))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y)))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 x (/.f64 1/3 (/.f64 y x))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(*.f64 x (+.f64 (/.f64 -4/3 y) (/.f64 1/3 (/.f64 y x)))) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y)))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y)))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(/.f64 (*.f64 (*.f64 1/3 (-.f64 1 x)) (-.f64 3 x)) y) |
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x))) |
(/.f64 (*.f64 (-.f64 1 x) (fma.f64 1/3 (neg.f64 x) 1)) y) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(/.f64 (*.f64 (*.f64 1/3 (-.f64 1 x)) (-.f64 3 x)) y) |
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x))) |
(/.f64 (*.f64 (-.f64 1 x) (fma.f64 1/3 (neg.f64 x) 1)) y) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(/.f64 (*.f64 (*.f64 1/3 (-.f64 1 x)) (-.f64 3 x)) y) |
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x))) |
(/.f64 (*.f64 (-.f64 1 x) (fma.f64 1/3 (neg.f64 x) 1)) y) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(/.f64 (*.f64 (*.f64 1/3 (-.f64 1 x)) (-.f64 3 x)) y) |
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x))) |
(/.f64 (*.f64 (-.f64 1 x) (fma.f64 1/3 (neg.f64 x) 1)) y) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(/.f64 (*.f64 (*.f64 1/3 (-.f64 1 x)) (-.f64 3 x)) y) |
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x))) |
(/.f64 (*.f64 (-.f64 1 x) (fma.f64 1/3 (neg.f64 x) 1)) y) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(/.f64 (*.f64 (*.f64 1/3 (-.f64 1 x)) (-.f64 3 x)) y) |
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x))) |
(/.f64 (*.f64 (-.f64 1 x) (fma.f64 1/3 (neg.f64 x) 1)) y) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(/.f64 (*.f64 (*.f64 1/3 (-.f64 1 x)) (-.f64 3 x)) y) |
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x))) |
(/.f64 (*.f64 (-.f64 1 x) (fma.f64 1/3 (neg.f64 x) 1)) y) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(/.f64 (*.f64 (*.f64 1/3 (-.f64 1 x)) (-.f64 3 x)) y) |
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x))) |
(/.f64 (*.f64 (-.f64 1 x) (fma.f64 1/3 (neg.f64 x) 1)) y) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(/.f64 (*.f64 (*.f64 1/3 (-.f64 1 x)) (-.f64 3 x)) y) |
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x))) |
(/.f64 (*.f64 (-.f64 1 x) (fma.f64 1/3 (neg.f64 x) 1)) y) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(/.f64 (*.f64 (*.f64 1/3 (-.f64 1 x)) (-.f64 3 x)) y) |
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x))) |
(/.f64 (*.f64 (-.f64 1 x) (fma.f64 1/3 (neg.f64 x) 1)) y) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(/.f64 (*.f64 (*.f64 1/3 (-.f64 1 x)) (-.f64 3 x)) y) |
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x))) |
(/.f64 (*.f64 (-.f64 1 x) (fma.f64 1/3 (neg.f64 x) 1)) y) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(/.f64 (*.f64 (*.f64 1/3 (-.f64 1 x)) (-.f64 3 x)) y) |
(*.f64 1/3 (*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y))) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x))) |
(/.f64 (*.f64 (-.f64 1 x) (fma.f64 1/3 (neg.f64 x) 1)) y) |
(/.f64 3 y) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -4 (/.f64 x y))) |
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) -4)) |
(fma.f64 (/.f64 x y) -4 (/.f64 3 y)) |
(+.f64 (*.f64 3 (/.f64 1 y)) (+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))) |
(+.f64 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 x y) -4 (/.f64 3 y))) |
(+.f64 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4 (/.f64 3 y))) |
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 x -4))) |
(+.f64 (*.f64 3 (/.f64 1 y)) (+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))) |
(+.f64 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 x y) -4 (/.f64 3 y))) |
(+.f64 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4 (/.f64 3 y))) |
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 x -4))) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 (/.f64 x y) x) |
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)) |
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x))) |
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (+.f64 x -4)) |
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))) |
(+.f64 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 x y) -4 (/.f64 3 y))) |
(+.f64 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4 (/.f64 3 y))) |
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 x -4))) |
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))) |
(+.f64 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 x y) -4 (/.f64 3 y))) |
(+.f64 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4 (/.f64 3 y))) |
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 x -4))) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 (/.f64 x y) x) |
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)) |
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x))) |
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (+.f64 x -4)) |
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))) |
(+.f64 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 x y) -4 (/.f64 3 y))) |
(+.f64 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4 (/.f64 3 y))) |
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 x -4))) |
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))) |
(+.f64 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 x y) -4 (/.f64 3 y))) |
(+.f64 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4 (/.f64 3 y))) |
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 x -4))) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))) |
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))) |
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))) |
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))) |
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))) |
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))) |
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))) |
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))) |
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))) |
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))) |
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))) |
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x))) |
(*.f64 (-.f64 1 x) (/.f64 (-.f64 3 x) y)) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y)) |
(*.f64 1/3 y) |
(*.f64 y 1/3) |
(+.f64 (*.f64 1/9 (*.f64 y x)) (*.f64 1/3 y)) |
(fma.f64 1/9 (*.f64 y x) (*.f64 y 1/3)) |
(*.f64 y (+.f64 1/3 (*.f64 x 1/9))) |
(*.f64 y (fma.f64 x 1/9 1/3)) |
(+.f64 (*.f64 1/9 (*.f64 y x)) (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 y))) |
(fma.f64 1/9 (*.f64 y x) (fma.f64 1/27 (*.f64 y (*.f64 x x)) (*.f64 y 1/3))) |
(fma.f64 y 1/3 (*.f64 y (+.f64 (*.f64 x (*.f64 x 1/27)) (*.f64 x 1/9)))) |
(*.f64 y (+.f64 1/3 (*.f64 x (+.f64 1/9 (*.f64 x 1/27))))) |
(+.f64 (*.f64 1/9 (*.f64 y x)) (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 1/3 y) (*.f64 1/81 (*.f64 y (pow.f64 x 3)))))) |
(fma.f64 1/9 (*.f64 y x) (fma.f64 1/27 (*.f64 y (*.f64 x x)) (fma.f64 1/3 y (*.f64 1/81 (*.f64 y (pow.f64 x 3)))))) |
(fma.f64 1/9 (*.f64 y x) (fma.f64 1/27 (*.f64 y (*.f64 x x)) (fma.f64 y 1/3 (*.f64 (pow.f64 x 3) (*.f64 y 1/81))))) |
(fma.f64 y (*.f64 x 1/9) (fma.f64 y 1/3 (*.f64 (*.f64 x x) (+.f64 (*.f64 1/81 (*.f64 y x)) (*.f64 y 1/27))))) |
(*.f64 y (+.f64 (fma.f64 x 1/9 1/3) (*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/81) 1/27)))) |
(*.f64 y (+.f64 1/3 (*.f64 x (+.f64 1/9 (*.f64 x (+.f64 (*.f64 x 1/81) 1/27)))))) |
(*.f64 -1 (/.f64 y x)) |
(neg.f64 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))) |
(fma.f64 -3 (/.f64 y (*.f64 x x)) (neg.f64 (/.f64 y x))) |
(-.f64 (/.f64 (*.f64 y -3) (*.f64 x x)) (/.f64 y x)) |
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 -3 x))) |
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) |
(fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 y x)))) |
(fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (/.f64 (neg.f64 y) x))) |
(-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -3 (/.f64 -9 x))) (/.f64 y x)) |
(-.f64 (/.f64 (*.f64 y (+.f64 -3 (/.f64 -9 x))) (*.f64 x x)) (/.f64 y x)) |
(fma.f64 (/.f64 y (*.f64 x x)) (+.f64 -3 (/.f64 -9 x)) (/.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 4))) (+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
(fma.f64 -27 (/.f64 y (pow.f64 x 4)) (fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 y x))))) |
(fma.f64 -27 (/.f64 y (pow.f64 x 4)) (fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (/.f64 (neg.f64 y) x)))) |
(-.f64 (fma.f64 -27 (/.f64 y (pow.f64 x 4)) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -3 (/.f64 -9 x)))) (/.f64 y x)) |
(fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 -3 x)) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 (/.f64 -27 x) -9))) |
(*.f64 -1 (/.f64 y x)) |
(neg.f64 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))) |
(fma.f64 -3 (/.f64 y (*.f64 x x)) (neg.f64 (/.f64 y x))) |
(-.f64 (/.f64 (*.f64 y -3) (*.f64 x x)) (/.f64 y x)) |
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 -3 x))) |
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) |
(fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 y x)))) |
(fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (/.f64 (neg.f64 y) x))) |
(-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -3 (/.f64 -9 x))) (/.f64 y x)) |
(-.f64 (/.f64 (*.f64 y (+.f64 -3 (/.f64 -9 x))) (*.f64 x x)) (/.f64 y x)) |
(fma.f64 (/.f64 y (*.f64 x x)) (+.f64 -3 (/.f64 -9 x)) (/.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 4))) (+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
(fma.f64 -27 (/.f64 y (pow.f64 x 4)) (fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 y x))))) |
(fma.f64 -27 (/.f64 y (pow.f64 x 4)) (fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (/.f64 (neg.f64 y) x)))) |
(-.f64 (fma.f64 -27 (/.f64 y (pow.f64 x 4)) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -3 (/.f64 -9 x)))) (/.f64 y x)) |
(fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 -3 x)) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 (/.f64 -27 x) -9))) |
Compiled 27839 to 19416 computations (30.3% saved)
20 alts after pruning (16 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 882 | 14 | 896 |
| Fresh | 3 | 2 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 3 | 5 |
| Total | 887 | 20 | 907 |
| Status | Error | Program |
|---|---|---|
| 39.0b | (*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3) | |
| ▶ | 0.2b | (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x))) |
| 45.1b | (/.f64 (*.f64 x (*.f64 x 1/3)) y) | |
| 39.4b | (/.f64 1/3 (/.f64 (/.f64 y x) x)) | |
| ▶ | 45.1b | (*.f64 (*.f64 x x) (/.f64 1/3 y)) |
| ✓ | 39.3b | (*.f64 (/.f64 x y) (*.f64 x 1/3)) |
| 39.4b | (*.f64 (*.f64 (/.f64 x y) x) 1/3) | |
| ▶ | 39.4b | (/.f64 (*.f64 x 1/3) (/.f64 y x)) |
| 39.6b | (*.f64 (/.f64 (-.f64 1 x) (/.f64 (neg.f64 y) x)) 1/3) | |
| ✓ | 23.5b | (/.f64 1 y) |
| 23.7b | (*.f64 (/.f64 3 y) 1/3) | |
| 61.3b | (*.f64 x (/.f64 -4/3 y)) | |
| ✓ | 0.4b | (*.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 1/3) |
| 39.4b | (/.f64 x (/.f64 y (*.f64 x 1/3))) | |
| 0.4b | (*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3)) | |
| ✓ | 23.2b | (+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
| ▶ | 61.3b | (*.f64 -4/3 (/.f64 x y)) |
| ▶ | 39.0b | (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
| 39.4b | (*.f64 x (/.f64 1/3 (/.f64 y x))) | |
| 23.2b | (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
Compiled 344 to 248 computations (27.9% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x))) |
| ✓ | 0.2b | (/.f64 (*.f64 3 y) (-.f64 3 x)) |
Compiled 33 to 23 computations (30.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x))) |
| 1.0ms | y | @ | -inf | (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x))) |
| 0.0ms | y | @ | 0 | (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x))) |
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 3 y) (-.f64 3 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x))) |
| 1× | batch-egg-rewrite |
| 658× | prod-diff_binary64 |
| 644× | log-prod_binary64 |
| 417× | egg-rr |
| 234× | log-div_binary64 |
| 214× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 229 | 26 |
| 2 | 3442 | 26 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 3 y) (-.f64 3 x)) |
(/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x))) |
| Outputs |
|---|
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2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 3 (-.f64 3 x)) y) (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (*.f64 (/.f64 3 (-.f64 3 x)) y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 (/.f64 3 (-.f64 3 x)) y) (-.f64 1 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (/.f64 (*.f64 y -3) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (*.f64 3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 1 x) (*.f64 3 y))) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (*.f64 3 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (*.f64 3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (*.f64 (/.f64 3 (-.f64 3 x)) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (*.f64 3 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (/.f64 (-.f64 1 x) (*.f64 3 y)) (*.f64 (neg.f64 x) (/.f64 (-.f64 1 x) (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 3 x) (/.f64 1 (*.f64 3 y)) (neg.f64 (*.f64 x (/.f64 (-.f64 3 x) (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (-.f64 3 x) (*.f64 3 y)) (neg.f64 (*.f64 x (/.f64 (-.f64 3 x) (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(sqrt.f64 (*.f64 3 y))) (neg.f64 (*.f64 x (/.f64 (-.f64 3 x) (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 3 x)) (sqrt.f64 (*.f64 3 y))) (/.f64 (sqrt.f64 (-.f64 3 x)) (sqrt.f64 (*.f64 3 y))) (neg.f64 (*.f64 x (/.f64 (-.f64 3 x) (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (*.f64 y -3)) (neg.f64 (-.f64 3 x)) (neg.f64 (*.f64 x (/.f64 (-.f64 3 x) (*.f64 3 y))))))))) |
| 1× | egg-herbie |
| 784× | fma-def_binary64 |
| 557× | associate-/l/_binary64 |
| 479× | distribute-lft-out_binary64 |
| 388× | distribute-rgt-in_binary64 |
| 356× | distribute-rgt-out_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 758 |
| 1 | 148 | 754 |
| 2 | 370 | 714 |
| 3 | 1142 | 694 |
| 4 | 4332 | 674 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (/.f64 y (-.f64 3 x))) |
(*.f64 3 (/.f64 y (-.f64 3 x))) |
(*.f64 3 (/.f64 y (-.f64 3 x))) |
(*.f64 3 (/.f64 y (-.f64 3 x))) |
(*.f64 3 (/.f64 y (-.f64 3 x))) |
(*.f64 3 (/.f64 y (-.f64 3 x))) |
(*.f64 3 (/.f64 y (-.f64 3 x))) |
(*.f64 3 (/.f64 y (-.f64 3 x))) |
(*.f64 3 (/.f64 y (-.f64 3 x))) |
(*.f64 3 (/.f64 y (-.f64 3 x))) |
(*.f64 3 (/.f64 y (-.f64 3 x))) |
(*.f64 3 (/.f64 y (-.f64 3 x))) |
y |
(+.f64 y (*.f64 1/3 (*.f64 y x))) |
(+.f64 y (+.f64 (*.f64 1/9 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 (*.f64 y x)))) |
(+.f64 y (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 1/9 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 (*.f64 y x))))) |
(*.f64 -3 (/.f64 y x)) |
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -9 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3))))) |
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 3))) (*.f64 -81 (/.f64 y (pow.f64 x 4)))))) |
(*.f64 -3 (/.f64 y x)) |
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -9 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3))))) |
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 3))) (*.f64 -81 (/.f64 y (pow.f64 x 4)))))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
| Outputs |
|---|
(*.f64 3 (/.f64 y (-.f64 3 x))) |
(/.f64 (*.f64 3 y) (-.f64 3 x)) |
(*.f64 3 (/.f64 y (-.f64 3 x))) |
(/.f64 (*.f64 3 y) (-.f64 3 x)) |
(*.f64 3 (/.f64 y (-.f64 3 x))) |
(/.f64 (*.f64 3 y) (-.f64 3 x)) |
(*.f64 3 (/.f64 y (-.f64 3 x))) |
(/.f64 (*.f64 3 y) (-.f64 3 x)) |
(*.f64 3 (/.f64 y (-.f64 3 x))) |
(/.f64 (*.f64 3 y) (-.f64 3 x)) |
(*.f64 3 (/.f64 y (-.f64 3 x))) |
(/.f64 (*.f64 3 y) (-.f64 3 x)) |
(*.f64 3 (/.f64 y (-.f64 3 x))) |
(/.f64 (*.f64 3 y) (-.f64 3 x)) |
(*.f64 3 (/.f64 y (-.f64 3 x))) |
(/.f64 (*.f64 3 y) (-.f64 3 x)) |
(*.f64 3 (/.f64 y (-.f64 3 x))) |
(/.f64 (*.f64 3 y) (-.f64 3 x)) |
(*.f64 3 (/.f64 y (-.f64 3 x))) |
(/.f64 (*.f64 3 y) (-.f64 3 x)) |
(*.f64 3 (/.f64 y (-.f64 3 x))) |
(/.f64 (*.f64 3 y) (-.f64 3 x)) |
(*.f64 3 (/.f64 y (-.f64 3 x))) |
(/.f64 (*.f64 3 y) (-.f64 3 x)) |
y |
(+.f64 y (*.f64 1/3 (*.f64 y x))) |
(fma.f64 (*.f64 y 1/3) x y) |
(fma.f64 x (*.f64 y 1/3) y) |
(fma.f64 y (*.f64 x 1/3) y) |
(*.f64 y (fma.f64 x 1/3 1)) |
(+.f64 y (+.f64 (*.f64 1/9 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 (*.f64 y x)))) |
(+.f64 y (fma.f64 1/9 (*.f64 y (*.f64 x x)) (*.f64 1/3 (*.f64 y x)))) |
(+.f64 (fma.f64 (*.f64 y 1/3) x y) (*.f64 (*.f64 x x) (*.f64 y 1/9))) |
(fma.f64 y (*.f64 x 1/3) (fma.f64 y (*.f64 x (*.f64 x 1/9)) y)) |
(fma.f64 y (*.f64 x (+.f64 1/3 (*.f64 x 1/9))) y) |
(+.f64 y (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 1/9 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 (*.f64 y x))))) |
(+.f64 y (fma.f64 1/27 (*.f64 y (pow.f64 x 3)) (fma.f64 1/9 (*.f64 y (*.f64 x x)) (*.f64 1/3 (*.f64 y x))))) |
(+.f64 y (fma.f64 1/27 (*.f64 y (pow.f64 x 3)) (fma.f64 1/3 (*.f64 y x) (*.f64 (*.f64 x x) (*.f64 y 1/9))))) |
(fma.f64 y (*.f64 1/27 (pow.f64 x 3)) (fma.f64 y (*.f64 x 1/3) (fma.f64 y (*.f64 x (*.f64 x 1/9)) y))) |
(fma.f64 y (*.f64 x (+.f64 1/3 (*.f64 x 1/9))) (*.f64 y (fma.f64 1/27 (pow.f64 x 3) 1))) |
(+.f64 y (*.f64 y (*.f64 x (+.f64 1/3 (*.f64 x (+.f64 1/9 (*.f64 x 1/27))))))) |
(*.f64 -3 (/.f64 y x)) |
(/.f64 -3 (/.f64 x y)) |
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -9 (/.f64 y (pow.f64 x 2)))) |
(fma.f64 -3 (/.f64 y x) (*.f64 -9 (/.f64 y (*.f64 x x)))) |
(fma.f64 -3 (/.f64 y x) (*.f64 (/.f64 -9 x) (/.f64 y x))) |
(*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x))) |
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3))))) |
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (*.f64 -27 (/.f64 y (pow.f64 x 3))))) |
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (/.f64 -27 (/.f64 (pow.f64 x 3) y)))) |
(fma.f64 -3 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -9 (/.f64 -27 x)))) |
(*.f64 (/.f64 y x) (+.f64 -3 (+.f64 (/.f64 -9 x) (/.f64 -27 (*.f64 x x))))) |
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 3))) (*.f64 -81 (/.f64 y (pow.f64 x 4)))))) |
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (fma.f64 -27 (/.f64 y (pow.f64 x 3)) (*.f64 -81 (/.f64 y (pow.f64 x 4)))))) |
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (fma.f64 -81 (/.f64 y (pow.f64 x 4)) (/.f64 -27 (/.f64 (pow.f64 x 3) y))))) |
(fma.f64 -3 (/.f64 y x) (fma.f64 -81 (/.f64 y (pow.f64 x 4)) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -9 (/.f64 -27 x))))) |
(fma.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x)) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -27 (/.f64 -81 x)))) |
(*.f64 -3 (/.f64 y x)) |
(/.f64 -3 (/.f64 x y)) |
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -9 (/.f64 y (pow.f64 x 2)))) |
(fma.f64 -3 (/.f64 y x) (*.f64 -9 (/.f64 y (*.f64 x x)))) |
(fma.f64 -3 (/.f64 y x) (*.f64 (/.f64 -9 x) (/.f64 y x))) |
(*.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x))) |
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3))))) |
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (*.f64 -27 (/.f64 y (pow.f64 x 3))))) |
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (/.f64 -27 (/.f64 (pow.f64 x 3) y)))) |
(fma.f64 -3 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -9 (/.f64 -27 x)))) |
(*.f64 (/.f64 y x) (+.f64 -3 (+.f64 (/.f64 -9 x) (/.f64 -27 (*.f64 x x))))) |
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 3))) (*.f64 -81 (/.f64 y (pow.f64 x 4)))))) |
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (fma.f64 -27 (/.f64 y (pow.f64 x 3)) (*.f64 -81 (/.f64 y (pow.f64 x 4)))))) |
(fma.f64 -3 (/.f64 y x) (fma.f64 -9 (/.f64 y (*.f64 x x)) (fma.f64 -81 (/.f64 y (pow.f64 x 4)) (/.f64 -27 (/.f64 (pow.f64 x 3) y))))) |
(fma.f64 -3 (/.f64 y x) (fma.f64 -81 (/.f64 y (pow.f64 x 4)) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -9 (/.f64 -27 x))))) |
(fma.f64 (/.f64 y x) (+.f64 -3 (/.f64 -9 x)) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -27 (/.f64 -81 x)))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 (*.f64 x -4/3) y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 (*.f64 x -4/3) y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 x (*.f64 (/.f64 1/3 y) x)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 (*.f64 x -4/3) y)) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 x (/.f64 y -4/3))) |
(*.f64 x (+.f64 (/.f64 -4/3 y) (*.f64 (/.f64 1/3 y) x))) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 (*.f64 x -4/3) y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 (*.f64 x -4/3) y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 x (*.f64 (/.f64 1/3 y) x)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 (*.f64 x -4/3) y)) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 x (/.f64 y -4/3))) |
(*.f64 x (+.f64 (/.f64 -4/3 y) (*.f64 (/.f64 1/3 y) x))) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 (*.f64 x -4/3) y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (/.f64 (*.f64 x -4/3) y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))) |
(/.f64 (*.f64 (-.f64 1 x) 1/3) (/.f64 y (-.f64 3 x))) |
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (/.f64 y 1/3))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))) |
(/.f64 (*.f64 (-.f64 1 x) 1/3) (/.f64 y (-.f64 3 x))) |
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (/.f64 y 1/3))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))) |
(/.f64 (*.f64 (-.f64 1 x) 1/3) (/.f64 y (-.f64 3 x))) |
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (/.f64 y 1/3))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))) |
(/.f64 (*.f64 (-.f64 1 x) 1/3) (/.f64 y (-.f64 3 x))) |
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (/.f64 y 1/3))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))) |
(/.f64 (*.f64 (-.f64 1 x) 1/3) (/.f64 y (-.f64 3 x))) |
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (/.f64 y 1/3))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))) |
(/.f64 (*.f64 (-.f64 1 x) 1/3) (/.f64 y (-.f64 3 x))) |
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (/.f64 y 1/3))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))) |
(/.f64 (*.f64 (-.f64 1 x) 1/3) (/.f64 y (-.f64 3 x))) |
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (/.f64 y 1/3))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))) |
(/.f64 (*.f64 (-.f64 1 x) 1/3) (/.f64 y (-.f64 3 x))) |
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (/.f64 y 1/3))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))) |
(/.f64 (*.f64 (-.f64 1 x) 1/3) (/.f64 y (-.f64 3 x))) |
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (/.f64 y 1/3))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))) |
(/.f64 (*.f64 (-.f64 1 x) 1/3) (/.f64 y (-.f64 3 x))) |
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (/.f64 y 1/3))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))) |
(/.f64 (*.f64 (-.f64 1 x) 1/3) (/.f64 y (-.f64 3 x))) |
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (/.f64 y 1/3))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x)))) |
(/.f64 (*.f64 (-.f64 1 x) 1/3) (/.f64 y (-.f64 3 x))) |
(*.f64 1/3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) |
(*.f64 1/3 (*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) y))) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (/.f64 y 1/3))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 -4/3 (/.f64 x y)) |
Compiled 13 to 6 computations (53.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (/.f64 1/3 y) | |
| ✓ | 9.1b | (*.f64 (*.f64 x x) (/.f64 1/3 y)) |
Compiled 18 to 9 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x x) (/.f64 1/3 y)) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x x) (/.f64 1/3 y)) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 x x) (/.f64 1/3 y)) |
| 0.0ms | y | @ | -inf | (*.f64 (*.f64 x x) (/.f64 1/3 y)) |
| 0.0ms | y | @ | inf | (*.f64 (*.f64 x x) (/.f64 1/3 y)) |
| 1× | batch-egg-rewrite |
| 707× | pow1_binary64 |
| 657× | add-log-exp_binary64 |
| 657× | log1p-expm1-u_binary64 |
| 657× | expm1-log1p-u_binary64 |
| 642× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 150 | 10 |
| 2 | 1846 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 x x) (*.f64 y 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (*.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) 1/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 x x) 1/3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) 1/3) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) 1/3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 x x) 1/3) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (*.f64 x x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) -1/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x x) (*.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 y 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (/.f64 1/3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 y 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 x x) (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 y 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (/.f64 1/3 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/3 y) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 y 3)))))))) |
| 1× | egg-herbie |
| 682× | associate-/l/_binary64 |
| 528× | associate-*l*_binary64 |
| 493× | *-commutative_binary64 |
| 470× | sqr-pow_binary64 |
| 437× | associate-*l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 240 |
| 1 | 16 | 240 |
| 2 | 31 | 240 |
| 3 | 62 | 240 |
| 4 | 169 | 240 |
| 5 | 615 | 240 |
| 6 | 2654 | 240 |
| 7 | 3723 | 240 |
| 8 | 3933 | 240 |
| 9 | 4152 | 240 |
| 10 | 4380 | 240 |
| 11 | 4718 | 240 |
| 12 | 6225 | 240 |
| 13 | 6892 | 240 |
| 14 | 7688 | 240 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
| Outputs |
|---|
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (*.f64 x 1/3) (/.f64 y x)) |
| 0.3b | (*.f64 x 1/3) |
Compiled 18 to 9 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 x 1/3) (/.f64 y x)) |
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 x 1/3) (/.f64 y x)) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 x 1/3) (/.f64 y x)) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 x 1/3) (/.f64 y x)) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 x 1/3) (/.f64 y x)) |
| 1× | batch-egg-rewrite |
| 905× | pow1_binary64 |
| 846× | add-log-exp_binary64 |
| 846× | log1p-expm1-u_binary64 |
| 846× | expm1-log1p-u_binary64 |
| 829× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 155 | 10 |
| 2 | 2245 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x 1/3) (/.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 1/3 (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1/3 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 x (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/3 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 1/3 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))) 2) (cbrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (*.f64 (cbrt.f64 (*.f64 x 1/3)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))) (sqrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/3)) (*.f64 (sqrt.f64 (*.f64 x 1/3)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1/3) (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 1/3 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (/.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 1/3 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 1/3)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x 1/3)) 1) (/.f64 (sqrt.f64 (*.f64 x 1/3)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x 1/3)) y) (/.f64 (sqrt.f64 (*.f64 x 1/3)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (*.f64 x 1/3) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) y) (/.f64 (cbrt.f64 (*.f64 x 1/3)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 y x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 1/3 (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 x (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (*.f64 x 1/3) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x 1/3)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 (*.f64 x 1/3)) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (/.f64 y x))) (/.f64 1/3 (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 (/.f64 y x))) (/.f64 x (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 (*.f64 x 1/3) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 (*.f64 x 1/3)) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 1/3) 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 1/3) (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 (/.f64 y x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 (/.f64 y x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 (/.f64 y x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 1/3 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 1/3 (/.f64 y x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (/.f64 (/.f64 y x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x 1/3) (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x 1/3)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 (/.f64 y x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x 1/3) 3) (pow.f64 (/.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/3 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 1/3 (/.f64 y x))))))))) |
| 1× | egg-herbie |
| 682× | associate-/l/_binary64 |
| 528× | associate-*l*_binary64 |
| 493× | *-commutative_binary64 |
| 470× | sqr-pow_binary64 |
| 437× | associate-*l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 240 |
| 1 | 16 | 240 |
| 2 | 31 | 240 |
| 3 | 62 | 240 |
| 4 | 169 | 240 |
| 5 | 615 | 240 |
| 6 | 2654 | 240 |
| 7 | 3723 | 240 |
| 8 | 3933 | 240 |
| 9 | 4152 | 240 |
| 10 | 4380 | 240 |
| 11 | 4718 | 240 |
| 12 | 6225 | 240 |
| 13 | 6892 | 240 |
| 14 | 7688 | 240 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
| Outputs |
|---|
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 -4/3 (*.f64 x 1/3)) |
| ✓ | 0.3b | (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
| 0.3b | (*.f64 x 1/3) |
Compiled 26 to 16 computations (38.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
| 1.0ms | y | @ | inf | (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
| 1.0ms | y | @ | -inf | (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
| 1× | batch-egg-rewrite |
| 511× | log-prod_binary64 |
| 371× | prod-diff_binary64 |
| 345× | pow-prod-down_binary64 |
| 266× | pow2_binary64 |
| 188× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 205 | 16 |
| 2 | 2880 | 16 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(+.f64 -4/3 (*.f64 x 1/3)) |
| Outputs |
|---|
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-4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4/3 (cbrt.f64 (pow.f64 (/.f64 x y) 2))) (cbrt.f64 (/.f64 x y)) (*.f64 (/.f64 x y) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4/3 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (*.f64 (/.f64 x y) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) 1/3) x (*.f64 (/.f64 x y) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (cbrt.f64 (pow.f64 (*.f64 x 1/3) 2))) (cbrt.f64 (*.f64 x 1/3)) (*.f64 (/.f64 x y) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (sqrt.f64 (*.f64 x 1/3))) (sqrt.f64 (*.f64 x 1/3)) (*.f64 (/.f64 x y) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 1/3) (cbrt.f64 (pow.f64 (/.f64 x y) 2))) (cbrt.f64 (/.f64 x y)) (*.f64 (/.f64 x y) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 1/3) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (*.f64 (/.f64 x y) -4/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/3 -4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16/9 (+.f64 -4/3 (*.f64 -1/3 x))) (/.f64 (pow.f64 (*.f64 x 1/3) 2) (+.f64 -4/3 (*.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/3 -4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/3 -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1/3 -4/3)) (pow.f64 (cbrt.f64 (fma.f64 x 1/3 -4/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/3 -4/3)) 2) (cbrt.f64 (fma.f64 x 1/3 -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/3 -4/3)) (sqrt.f64 (fma.f64 x 1/3 -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) 1/27 -64/27) (/.f64 1 (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 4/3) 16/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 16/9 (pow.f64 (*.f64 x 1/3) 2)) (/.f64 1 (+.f64 -4/3 (*.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 4/3) 16/9) (fma.f64 (pow.f64 x 3) 1/27 -64/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -4/3 (*.f64 -1/3 x)) (-.f64 16/9 (pow.f64 (*.f64 x 1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 1/27 -64/27) (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 4/3) 16/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 1/27 -64/27) (fma.f64 (*.f64 x x) 1/9 (-.f64 16/9 (*.f64 -4/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/9 (pow.f64 (*.f64 x 1/3) 2)) (+.f64 -4/3 (*.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/27 -64/27)) (neg.f64 (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 4/3) 16/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16/9 (pow.f64 (*.f64 x 1/3) 2))) (neg.f64 (+.f64 -4/3 (*.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 x x) 1/9 -16/9) (fma.f64 x 1/3 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/3 -4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/3 -4/3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/3 -4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/3 -4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/3 -4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x 1/3) (fma.f64 x 1/3 4/3) 16/9) (fma.f64 (pow.f64 x 3) 1/27 -64/27)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -4/3 (*.f64 -1/3 x)) (-.f64 16/9 (pow.f64 (*.f64 x 1/3) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/3 -4/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/3 -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/3 -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/3 -4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/3 -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/3 -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/3 -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 1/3 -4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 1/3 -4/3) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/3 -4/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/3 -4/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 1/3 -4/3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/3 -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 x -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/3) 1 -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/3) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/3) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (pow.f64 (*.f64 x 1/3) 2)) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x 1/3) 2)) (cbrt.f64 (*.f64 x 1/3)) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/3) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/3)) (sqrt.f64 (*.f64 x 1/3)) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 x)) (sqrt.f64 x) -4/3))))) |
| 1× | egg-herbie |
| 1020× | fma-def_binary64 |
| 418× | associate-*l/_binary64 |
| 343× | associate-/l*_binary64 |
| 334× | associate-*r/_binary64 |
| 308× | associate-/r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 438 |
| 1 | 37 | 438 |
| 2 | 70 | 438 |
| 3 | 136 | 312 |
| 4 | 372 | 312 |
| 5 | 1321 | 312 |
| 6 | 3698 | 312 |
| 7 | 7073 | 312 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -4/3 (/.f64 x y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
-4/3 |
(-.f64 (*.f64 1/3 x) 4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(*.f64 1/3 x) |
(-.f64 (*.f64 1/3 x) 4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(*.f64 1/3 x) |
(-.f64 (*.f64 1/3 x) 4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
| Outputs |
|---|
(*.f64 -4/3 (/.f64 x y)) |
(/.f64 (*.f64 -4/3 x) y) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(/.f64 (*.f64 x x) (/.f64 y 1/3)) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(/.f64 (*.f64 x x) (/.f64 y 1/3)) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
-4/3 |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(fma.f64 x 1/3 -4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(fma.f64 x 1/3 -4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(fma.f64 x 1/3 -4/3) |
(*.f64 1/3 x) |
(*.f64 x 1/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(fma.f64 x 1/3 -4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(fma.f64 x 1/3 -4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(fma.f64 x 1/3 -4/3) |
(*.f64 1/3 x) |
(*.f64 x 1/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(fma.f64 x 1/3 -4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(fma.f64 x 1/3 -4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(fma.f64 x 1/3 -4/3) |
Compiled 30193 to 21624 computations (28.4% saved)
21 alts after pruning (16 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 801 | 8 | 809 |
| Fresh | 3 | 8 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 5 | 8 |
| Total | 808 | 21 | 829 |
| Status | Error | Program |
|---|---|---|
| ▶ | 39.0b | (*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3) |
| ✓ | 0.2b | (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x))) |
| 45.1b | (/.f64 (*.f64 x (*.f64 x 1/3)) y) | |
| 39.4b | (/.f64 1/3 (/.f64 (/.f64 y x) x)) | |
| 39.4b | (*.f64 x (*.f64 (/.f64 1/3 y) x)) | |
| ▶ | 0.4b | (*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3)) |
| ▶ | 23.7b | (/.f64 (-.f64 1 x) y) |
| 39.4b | (*.f64 (/.f64 x (/.f64 y x)) 1/3) | |
| ✓ | 23.2b | (+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
| ✓ | 23.5b | (/.f64 1 y) |
| 23.7b | (*.f64 (/.f64 3 y) 1/3) | |
| ▶ | 61.3b | (*.f64 x (/.f64 -4/3 y)) |
| 44.7b | (/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) | |
| ✓ | 0.4b | (*.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 1/3) |
| 23.2b | (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) | |
| 61.3b | (/.f64 (*.f64 -4/3 x) y) | |
| 39.6b | (/.f64 (-.f64 1 x) (/.f64 -3 (/.f64 x y))) | |
| ✓ | 39.3b | (*.f64 (/.f64 x y) (*.f64 x 1/3)) |
| 45.1b | (/.f64 (*.f64 x x) (*.f64 y 3)) | |
| ▶ | 39.4b | (/.f64 x (/.f64 y (*.f64 x 1/3))) |
| 61.3b | (/.f64 -4/3 (/.f64 y x)) |
Compiled 339 to 244 computations (28% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 3 x) y) |
| ✓ | 0.0b | (/.f64 (-.f64 1 x) 3) |
| ✓ | 0.4b | (*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3)) |
Compiled 33 to 23 computations (30.3% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (/.f64 (-.f64 3 x) y) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 x) 3) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 x) 3) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 x) 3) |
| 1× | batch-egg-rewrite |
| 594× | log-prod_binary64 |
| 319× | pow2_binary64 |
| 277× | prod-diff_binary64 |
| 275× | log-div_binary64 |
| 223× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 30 |
| 1 | 237 | 30 |
| 2 | 3498 | 30 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3)) |
(/.f64 (-.f64 1 x) 3) |
(/.f64 (-.f64 3 x) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1/3 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 x))) (/.f64 (-.f64 3 x) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 x))) (/.f64 (-.f64 3 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 x))) (/.f64 (-.f64 3 x) y)))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 x))) (/.f64 (-.f64 3 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1/3 (*.f64 x 1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 3 x) (*.f64 y (/.f64 3 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 3 x) (*.f64 (/.f64 3 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 3 x) (/.f64 (*.f64 3 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 3 x) (/.f64 y (-.f64 1/3 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 3 x) y) (/.f64 3 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y (-.f64 3 x)) (/.f64 3 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 3 (-.f64 1 x)) (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (*.f64 (/.f64 y (-.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (*.f64 3 (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/3 (*.f64 x 1/3)) (/.f64 y (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 x)) (*.f64 (/.f64 y (-.f64 3 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 3 x)) (*.f64 (/.f64 3 (-.f64 1 x)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) (*.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 x 1/3))) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 3 x) (-.f64 1 x))) (neg.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 x 1/3)))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 3 x)) 1) (*.f64 (neg.f64 y) (/.f64 3 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 x)) 1) (*.f64 -3 (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 3 x)) (-.f64 1 x)) (*.f64 (neg.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 3 x) (neg.f64 (-.f64 1 x))) (*.f64 y -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 3 x)) (neg.f64 (-.f64 1 x))) (*.f64 (neg.f64 y) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 x)) (-.f64 3 x)) (*.f64 -3 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (neg.f64 (-.f64 3 x))) (*.f64 3 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (-.f64 3 x))) (*.f64 -3 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 x 1/3))) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 x 1/3))) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 x 1/3))) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 3 x)) (-.f64 1/3 (*.f64 x 1/3))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 x)) (/.f64 (-.f64 3 x) y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 3 x) y) (neg.f64 (-.f64 1 x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/3 (*.f64 x 1/3)) (neg.f64 (-.f64 3 x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1/3 (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1/3 (*.f64 x 1/3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1/3 (*.f64 x 1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1/3 (*.f64 x 1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1/3 (*.f64 x 1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 3 x) y) 3) (pow.f64 (-.f64 1/3 (*.f64 x 1/3)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 1/3 (*.f64 x 1/3)) 3) (pow.f64 (/.f64 (-.f64 3 x) y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y (-.f64 3 x)) (/.f64 3 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 3 (-.f64 1 x)) (/.f64 y (-.f64 3 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 x 1/3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) -1)))) 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egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 3 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 3 x) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 3 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 3 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 3 x) y)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 3 x) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 3 x) y) 2)) (cbrt.f64 (/.f64 (-.f64 3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (*.f64 (cbrt.f64 (-.f64 3 x)) (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 3 x) y)) (sqrt.f64 (/.f64 (-.f64 3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 3 x)) (*.f64 (sqrt.f64 (-.f64 3 x)) (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 3 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1) (-.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (-.f64 3 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 3 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 3 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 3 x)) 1) (/.f64 (sqrt.f64 (-.f64 3 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 (-.f64 3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 3 x)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (-.f64 3 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 3 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 3 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 3 x) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 3 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 3 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 3 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 3 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 3 x) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (-.f64 3 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 3 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 3 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 3 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 3 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 3 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (pow.f64 y -1) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 3 y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 3 y)) 2) (cbrt.f64 (/.f64 3 y)) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 3 y)) (sqrt.f64 (/.f64 3 y)) (neg.f64 (/.f64 x y))))))) |
| 1× | egg-herbie |
| 782× | fma-def_binary64 |
| 424× | distribute-neg-out_binary64 |
| 376× | distribute-rgt-in_binary64 |
| 367× | distribute-rgt-neg-out_binary64 |
| 352× | fma-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 597 |
| 1 | 67 | 559 |
| 2 | 138 | 520 |
| 3 | 367 | 496 |
| 4 | 1318 | 476 |
| 5 | 5097 | 476 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
1/3 |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(*.f64 -1/3 x) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(*.f64 -1/3 x) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(/.f64 3 y) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
| Outputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 1/3 y) (*.f64 x x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 1/3 y) (*.f64 x x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3)) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3)) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3)) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3)) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3)) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3)) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3)) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3)) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3)) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3)) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3)) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3)) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
1/3 |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(*.f64 -1/3 x) |
(*.f64 x -1/3) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(*.f64 -1/3 x) |
(*.f64 x -1/3) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(/.f64 3 y) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 3 y) (/.f64 x y)) |
(/.f64 (-.f64 3 x) y) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 3 y) (/.f64 x y)) |
(/.f64 (-.f64 3 x) y) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 3 y) (/.f64 x y)) |
(/.f64 (-.f64 3 x) y) |
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(/.f64 (neg.f64 x) y) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 3 y) (/.f64 x y)) |
(/.f64 (-.f64 3 x) y) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 3 y) (/.f64 x y)) |
(/.f64 (-.f64 3 x) y) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 3 y) (/.f64 x y)) |
(/.f64 (-.f64 3 x) y) |
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(/.f64 (neg.f64 x) y) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 3 y) (/.f64 x y)) |
(/.f64 (-.f64 3 x) y) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 3 y) (/.f64 x y)) |
(/.f64 (-.f64 3 x) y) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 3 y) (/.f64 x y)) |
(/.f64 (-.f64 3 x) y) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 x (/.f64 -4/3 y)) |
| ✓ | 0.4b | (/.f64 -4/3 y) |
Compiled 13 to 8 computations (38.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 -4/3 y) |
| 0.0ms | y | @ | inf | (/.f64 -4/3 y) |
| 0.0ms | y | @ | -inf | (/.f64 -4/3 y) |
| 0.0ms | x | @ | 0 | (*.f64 x (/.f64 -4/3 y)) |
| 0.0ms | y | @ | inf | (*.f64 x (/.f64 -4/3 y)) |
| 1× | batch-egg-rewrite |
| 616× | pow1_binary64 |
| 574× | add-log-exp_binary64 |
| 574× | log1p-expm1-u_binary64 |
| 574× | expm1-log1p-u_binary64 |
| 563× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 11 |
| 1 | 128 | 11 |
| 2 | 1559 | 11 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -4/3 y) |
(*.f64 x (/.f64 -4/3 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -4/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -4/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -4/3 y)) (pow.f64 (cbrt.f64 (/.f64 -4/3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -4/3 y)) 2) (cbrt.f64 (/.f64 -4/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -4/3 y)) (sqrt.f64 (/.f64 -4/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -4/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -4/3 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -4/3 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -4/3 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -3/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -4/3 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -4/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -4/3 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -4/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -4/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -4/3 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 -4/3 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 -4/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4/3 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -4/3 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4/3 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4/3 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4/3 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4/3 x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 -4/3 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 -4/3 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 -4/3 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 -4/3 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 -4/3 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 -4/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 -4/3 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 -4/3 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 -4/3 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 -4/3 y) x))))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 1× | associate-*r/_binary64 |
| 1× | associate-*l/_binary64 |
| 1× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 168 |
| 1 | 9 | 168 |
| 2 | 13 | 168 |
| 3 | 17 | 168 |
| 4 | 18 | 168 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
| Outputs |
|---|
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 1 x) y) |
Compiled 13 to 8 computations (38.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 1 x) y) |
| 1.0ms | y | @ | inf | (/.f64 (-.f64 1 x) y) |
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 1 x) y) |
| 1.0ms | y | @ | -inf | (/.f64 (-.f64 1 x) y) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 1 x) y) |
| 1× | batch-egg-rewrite |
| 756× | pow1_binary64 |
| 706× | add-log-exp_binary64 |
| 706× | log1p-expm1-u_binary64 |
| 706× | expm1-log1p-u_binary64 |
| 692× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 130 | 7 |
| 2 | 1797 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 x) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (sqrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 1 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 x) y))))))) |
| 1× | egg-herbie |
| 202× | fma-def_binary64 |
| 125× | fma-neg_binary64 |
| 44× | cancel-sign-sub-inv_binary64 |
| 31× | distribute-rgt-in_binary64 |
| 26× | unsub-neg_binary64 |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 124 |
| 1 | 16 | 106 |
| 2 | 25 | 106 |
| 3 | 35 | 106 |
| 4 | 48 | 106 |
| 5 | 74 | 106 |
| 6 | 130 | 106 |
| 7 | 253 | 106 |
| 8 | 494 | 79 |
| 9 | 732 | 79 |
| 10 | 829 | 79 |
| 11 | 895 | 79 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
| Outputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 1 y) (/.f64 x y)) |
(/.f64 (-.f64 1 x) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 1 y) (/.f64 x y)) |
(/.f64 (-.f64 1 x) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 1 y) (/.f64 x y)) |
(/.f64 (-.f64 1 x) y) |
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(/.f64 (neg.f64 x) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 1 y) (/.f64 x y)) |
(/.f64 (-.f64 1 x) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 1 y) (/.f64 x y)) |
(/.f64 (-.f64 1 x) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 1 y) (/.f64 x y)) |
(/.f64 (-.f64 1 x) y) |
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(/.f64 (neg.f64 x) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 1 y) (/.f64 x y)) |
(/.f64 (-.f64 1 x) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 1 y) (/.f64 x y)) |
(/.f64 (-.f64 1 x) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 1 y) (/.f64 x y)) |
(/.f64 (-.f64 1 x) y) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 x (/.f64 y (*.f64 x 1/3))) |
| ✓ | 0.2b | (/.f64 y (*.f64 x 1/3)) |
| 0.3b | (*.f64 x 1/3) |
Compiled 20 to 12 computations (40% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 y (*.f64 x 1/3)) |
| 1.0ms | x | @ | 0 | (/.f64 y (*.f64 x 1/3)) |
| 1.0ms | x | @ | inf | (/.f64 y (*.f64 x 1/3)) |
| 1.0ms | y | @ | -inf | (/.f64 y (*.f64 x 1/3)) |
| 1.0ms | y | @ | inf | (/.f64 y (*.f64 x 1/3)) |
| 1× | batch-egg-rewrite |
| 904× | pow1_binary64 |
| 845× | add-log-exp_binary64 |
| 845× | log1p-expm1-u_binary64 |
| 845× | expm1-log1p-u_binary64 |
| 827× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 155 | 17 |
| 2 | 2241 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (*.f64 x 1/3)) |
(/.f64 x (/.f64 y (*.f64 x 1/3))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (/.f64 3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 3 x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 3 x))) 2) (cbrt.f64 (*.f64 y (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 3 x))) (sqrt.f64 (*.f64 y (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 y 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1/3) (/.f64 (sqrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/3) (/.f64 (cbrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) (/.f64 y (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) (cbrt.f64 (*.f64 y (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 x 1/3))) (/.f64 y (sqrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 x 1/3))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 x 1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 3 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 1/3 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 1/3 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 1/3 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 1/3 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 1/3 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 1/3 (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/3 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/3 (/.f64 x y)))) 2) (cbrt.f64 (*.f64 x (*.f64 1/3 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 1/3 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 (/.f64 x y)))) (sqrt.f64 (*.f64 x (*.f64 1/3 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 (neg.f64 y) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (*.f64 y (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 y (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (*.f64 1/3 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 3 x))) 2)) (/.f64 x (cbrt.f64 (*.f64 y (/.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 3 x))) 2)) (cbrt.f64 (*.f64 x (*.f64 1/3 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 3 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y (/.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 y (/.f64 3 x)))) (/.f64 x (sqrt.f64 (*.f64 y (/.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 y (/.f64 3 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y (/.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 y)) (*.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 y x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (*.f64 x 1/3)) 2)) (cbrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (sqrt.f64 (*.f64 x 1/3))) (sqrt.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 1/3 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 1/3 (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/3 (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 1/3 (/.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 x (/.f64 3 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 (neg.f64 y) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 1/3 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 1/3 (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 3 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 1/3 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 1/3 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 1/3 (/.f64 x y))))))))) |
| 1× | egg-herbie |
| 1158× | associate-/r/_binary64 |
| 1079× | associate-*l/_binary64 |
| 624× | times-frac_binary64 |
| 525× | associate-*l*_binary64 |
| 434× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 408 |
| 1 | 22 | 408 |
| 2 | 40 | 408 |
| 3 | 80 | 408 |
| 4 | 206 | 408 |
| 5 | 743 | 408 |
| 6 | 3173 | 408 |
| 7 | 4720 | 408 |
| 8 | 5002 | 408 |
| 9 | 5222 | 408 |
| 10 | 5450 | 408 |
| 11 | 5775 | 408 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
| Outputs |
|---|
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 3 (/.f64 y x)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 x y) (+.f64 x -4)) |
| ✓ | 0.3b | (*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3) |
Compiled 28 to 15 computations (46.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | x | @ | inf | (*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3) |
| 1.0ms | y | @ | 0 | (*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3) |
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3) |
| 1.0ms | y | @ | inf | (*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3) |
| 1.0ms | x | @ | -inf | (*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3) |
| 1× | batch-egg-rewrite |
| 521× | log-prod_binary64 |
| 340× | pow-prod-down_binary64 |
| 269× | pow2_binary64 |
| 268× | prod-diff_binary64 |
| 190× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 207 | 23 |
| 2 | 2916 | 23 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3) |
(*.f64 (/.f64 x y) (+.f64 x -4)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (/.f64 x y)) 1/3) (*.f64 (*.f64 (/.f64 x y) -4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 x (/.f64 x y))) (*.f64 1/3 (*.f64 (/.f64 x y) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (+.f64 x -4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (+.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (+.f64 x -4)))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (+.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -4) 1/3) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (+.f64 x -4) 1/3)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (*.f64 (+.f64 x -4) 1/3)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 x -4)) 1/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 x (+.f64 x -4))) y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (pow.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x y))) (+.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) (*.f64 (+.f64 x -4) 1/3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (*.f64 x (/.f64 x y)) (*.f64 1/3 (*.f64 (/.f64 x y) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (/.f64 x y)) 1/3 (*.f64 (*.f64 (/.f64 x y) -4) 1/3)))))) |
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x y) (+.f64 x -4))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 x y) (*.f64 (/.f64 x y) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (/.f64 1 y) -4) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) x (*.f64 (/.f64 x y) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) -4 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (/.f64 x y) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (/.f64 x y)) (*.f64 (/.f64 x y) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 x y) -4) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (/.f64 1 y) (*.f64 (/.f64 x y) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 x y)) (*.f64 (/.f64 x y) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) 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x y) 2))) (cbrt.f64 (/.f64 x y)) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (*.f64 x (/.f64 x y))))))) |
| 1× | egg-herbie |
| 514× | associate-/l*_binary64 |
| 507× | distribute-rgt-out_binary64 |
| 428× | fma-def_binary64 |
| 422× | associate-/r/_binary64 |
| 386× | fma-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 699 |
| 1 | 46 | 699 |
| 2 | 90 | 699 |
| 3 | 196 | 615 |
| 4 | 538 | 489 |
| 5 | 1981 | 489 |
| 6 | 5467 | 489 |
| 7 | 7434 | 489 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -4/3 (/.f64 x y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(*.f64 -4 (/.f64 x y)) |
(+.f64 (/.f64 (pow.f64 x 2) y) (*.f64 -4 (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) y) (*.f64 -4 (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) y) (*.f64 -4 (/.f64 x y))) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 (-.f64 x 4) x) y) |
(/.f64 (*.f64 (-.f64 x 4) x) y) |
(/.f64 (*.f64 (-.f64 x 4) x) y) |
(/.f64 (*.f64 (-.f64 x 4) x) y) |
(/.f64 (*.f64 (-.f64 x 4) x) y) |
(/.f64 (*.f64 (-.f64 x 4) x) y) |
(/.f64 (*.f64 (-.f64 x 4) x) y) |
(/.f64 (*.f64 (-.f64 x 4) x) y) |
(/.f64 (*.f64 (-.f64 x 4) x) y) |
(/.f64 (*.f64 (-.f64 x 4) x) y) |
(/.f64 (*.f64 (-.f64 x 4) x) y) |
(/.f64 (*.f64 (-.f64 x 4) x) y) |
| Outputs |
|---|
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 x (/.f64 -4/3 y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 x x) (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 x x) (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 x x) (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(/.f64 (*.f64 1/3 (*.f64 x x)) y) |
(*.f64 x (*.f64 (/.f64 x y) 1/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 x x) (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 x x) (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 x x) (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(/.f64 (*.f64 1/3 (*.f64 x x)) y) |
(*.f64 x (*.f64 (/.f64 x y) 1/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 x x) (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 x x) (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 x x) (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 x x) (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 x x) (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 x x) (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 x x) (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 x x) (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 x x) (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 x x) (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 x x) (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 x x) (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 x x) (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 x x) (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 x x) (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 -4 (/.f64 x y)) |
(*.f64 (/.f64 x y) -4) |
(*.f64 x (/.f64 -4 y)) |
(+.f64 (/.f64 (pow.f64 x 2) y) (*.f64 -4 (/.f64 x y))) |
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)) |
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x))) |
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (+.f64 x -4)) |
(*.f64 x (/.f64 (+.f64 x -4) y)) |
(+.f64 (/.f64 (pow.f64 x 2) y) (*.f64 -4 (/.f64 x y))) |
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)) |
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x))) |
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (+.f64 x -4)) |
(*.f64 x (/.f64 (+.f64 x -4) y)) |
(+.f64 (/.f64 (pow.f64 x 2) y) (*.f64 -4 (/.f64 x y))) |
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)) |
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x))) |
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (+.f64 x -4)) |
(*.f64 x (/.f64 (+.f64 x -4) y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)) |
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x))) |
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (+.f64 x -4)) |
(*.f64 x (/.f64 (+.f64 x -4) y)) |
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)) |
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x))) |
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (+.f64 x -4)) |
(*.f64 x (/.f64 (+.f64 x -4) y)) |
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)) |
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x))) |
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (+.f64 x -4)) |
(*.f64 x (/.f64 (+.f64 x -4) y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)) |
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x))) |
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (+.f64 x -4)) |
(*.f64 x (/.f64 (+.f64 x -4) y)) |
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)) |
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x))) |
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (+.f64 x -4)) |
(*.f64 x (/.f64 (+.f64 x -4) y)) |
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)) |
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x))) |
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (+.f64 x -4)) |
(*.f64 x (/.f64 (+.f64 x -4) y)) |
(/.f64 (*.f64 (-.f64 x 4) x) y) |
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)) |
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x))) |
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (+.f64 x -4)) |
(*.f64 x (/.f64 (+.f64 x -4) y)) |
(/.f64 (*.f64 (-.f64 x 4) x) y) |
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)) |
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x))) |
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (+.f64 x -4)) |
(*.f64 x (/.f64 (+.f64 x -4) y)) |
(/.f64 (*.f64 (-.f64 x 4) x) y) |
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)) |
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x))) |
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (+.f64 x -4)) |
(*.f64 x (/.f64 (+.f64 x -4) y)) |
(/.f64 (*.f64 (-.f64 x 4) x) y) |
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)) |
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x))) |
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (+.f64 x -4)) |
(*.f64 x (/.f64 (+.f64 x -4) y)) |
(/.f64 (*.f64 (-.f64 x 4) x) y) |
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)) |
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x))) |
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (+.f64 x -4)) |
(*.f64 x (/.f64 (+.f64 x -4) y)) |
(/.f64 (*.f64 (-.f64 x 4) x) y) |
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)) |
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x))) |
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (+.f64 x -4)) |
(*.f64 x (/.f64 (+.f64 x -4) y)) |
(/.f64 (*.f64 (-.f64 x 4) x) y) |
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)) |
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x))) |
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (+.f64 x -4)) |
(*.f64 x (/.f64 (+.f64 x -4) y)) |
(/.f64 (*.f64 (-.f64 x 4) x) y) |
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)) |
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x))) |
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (+.f64 x -4)) |
(*.f64 x (/.f64 (+.f64 x -4) y)) |
(/.f64 (*.f64 (-.f64 x 4) x) y) |
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)) |
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x))) |
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (+.f64 x -4)) |
(*.f64 x (/.f64 (+.f64 x -4) y)) |
(/.f64 (*.f64 (-.f64 x 4) x) y) |
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)) |
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x))) |
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (+.f64 x -4)) |
(*.f64 x (/.f64 (+.f64 x -4) y)) |
(/.f64 (*.f64 (-.f64 x 4) x) y) |
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)) |
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x))) |
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (+.f64 x -4)) |
(*.f64 x (/.f64 (+.f64 x -4) y)) |
(/.f64 (*.f64 (-.f64 x 4) x) y) |
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)) |
(fma.f64 (/.f64 x y) -4 (/.f64 x (/.f64 y x))) |
(fma.f64 (/.f64 x y) -4 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (+.f64 x -4)) |
(*.f64 x (/.f64 (+.f64 x -4) y)) |
Compiled 7718 to 4625 computations (40.1% saved)
24 alts after pruning (16 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 490 | 10 | 500 |
| Fresh | 5 | 6 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 8 | 9 |
| Total | 497 | 24 | 521 |
| Status | Error | Program |
|---|---|---|
| 45.1b | (/.f64 (*.f64 x (*.f64 x 1/3)) y) | |
| 39.4b | (*.f64 x (*.f64 (/.f64 1/3 y) x)) | |
| 45.1b | (/.f64 (*.f64 x x) (*.f64 y 3)) | |
| 44.7b | (/.f64 (*.f64 (*.f64 x (+.f64 x -4)) 1/3) y) | |
| 39.4b | (*.f64 x (/.f64 (*.f64 x 1/3) y)) | |
| 39.0b | (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) | |
| 39.0b | (*.f64 (/.f64 x (/.f64 y (+.f64 x -4))) 1/3) | |
| 39.0b | (*.f64 (*.f64 x (/.f64 (+.f64 x -4) y)) 1/3) | |
| ✓ | 0.4b | (*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3)) |
| ✓ | 23.7b | (/.f64 (-.f64 1 x) y) |
| 39.4b | (/.f64 x (*.f64 (/.f64 y x) 3)) | |
| 61.3b | (/.f64 (neg.f64 x) y) | |
| ✓ | 23.5b | (/.f64 1 y) |
| 23.7b | (*.f64 (/.f64 3 y) 1/3) | |
| ✓ | 61.3b | (*.f64 x (/.f64 -4/3 y)) |
| 39.3b | (/.f64 x (*.f64 (/.f64 3 x) y)) | |
| ✓ | 0.4b | (*.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 1/3) |
| 61.3b | (/.f64 x (*.f64 y -3/4)) | |
| ✓ | 0.2b | (/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x))) |
| ✓ | 39.3b | (*.f64 (/.f64 x y) (*.f64 x 1/3)) |
| ✓ | 23.2b | (+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
| 61.3b | (/.f64 -4/3 (/.f64 y x)) | |
| 61.3b | (/.f64 (*.f64 -4/3 x) y) | |
| 23.2b | (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
Compiled 219 to 158 computations (27.9% saved)
| Inputs |
|---|
(/.f64 1 y) |
(/.f64 (neg.f64 x) y) |
(/.f64 x (*.f64 y -3/4)) |
(/.f64 (*.f64 -4/3 x) y) |
(/.f64 (-.f64 1 x) y) |
(/.f64 (*.f64 -4/3 x) y) |
(/.f64 -4/3 (/.f64 y x)) |
(*.f64 (/.f64 3 y) 1/3) |
(*.f64 x (/.f64 -4/3 y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(/.f64 x (*.f64 (/.f64 y x) 3)) |
(/.f64 x (*.f64 (/.f64 3 x) y)) |
(*.f64 x (*.f64 (/.f64 1/3 y) x)) |
(*.f64 (/.f64 x (/.f64 y x)) 1/3) |
(/.f64 (*.f64 x x) (*.f64 y 3)) |
(/.f64 (*.f64 x (*.f64 x 1/3)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 (*.f64 (/.f64 x y) x) 1/3) |
(/.f64 (*.f64 x 1/3) (/.f64 y x)) |
(/.f64 x (/.f64 y (*.f64 x 1/3))) |
(*.f64 x (/.f64 1/3 (/.f64 y x))) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(/.f64 (*.f64 (*.f64 x (+.f64 x -4)) 1/3) y) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(*.f64 (/.f64 x (/.f64 y (+.f64 x -4))) 1/3) |
(*.f64 (*.f64 x (/.f64 (+.f64 x -4) y)) 1/3) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (-.f64 1 x) (/.f64 -3 (/.f64 x y))) |
(*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 x) (/.f64 (neg.f64 y) x)) 1/3) |
(/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x))) |
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x)) |
(*.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 1/3) |
(*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3)) |
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
(-.f64 (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x))))) |
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) |
(*.f64 (/.f64 (-.f64 3 x) (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (*.f64 3 y)))) |
| Outputs |
|---|
(-.f64 (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x))))) |
7 calls:
| 50.0ms | (*.f64 y 3) |
| 41.0ms | (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
| 40.0ms | x |
| 39.0ms | y |
| 28.0ms | (*.f64 y 3) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | x |
| 0.2b | 1 | y |
| 0.2b | 1 | (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
| 0.2b | 1 | (*.f64 (-.f64 1 x) (-.f64 3 x)) |
| 0.2b | 1 | (*.f64 (-.f64 1 x) (-.f64 3 x)) |
| 0.2b | 1 | (*.f64 y 3) |
| 0.2b | 1 | (*.f64 y 3) |
Compiled 404 to 257 computations (36.4% saved)
| Inputs |
|---|
(/.f64 1 y) |
(/.f64 (neg.f64 x) y) |
(/.f64 x (*.f64 y -3/4)) |
(/.f64 (*.f64 -4/3 x) y) |
(/.f64 (-.f64 1 x) y) |
(/.f64 (*.f64 -4/3 x) y) |
(/.f64 -4/3 (/.f64 y x)) |
(*.f64 (/.f64 3 y) 1/3) |
(*.f64 x (/.f64 -4/3 y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(/.f64 x (*.f64 (/.f64 y x) 3)) |
(/.f64 x (*.f64 (/.f64 3 x) y)) |
(*.f64 x (*.f64 (/.f64 1/3 y) x)) |
(*.f64 (/.f64 x (/.f64 y x)) 1/3) |
(/.f64 (*.f64 x x) (*.f64 y 3)) |
(/.f64 (*.f64 x (*.f64 x 1/3)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 (*.f64 (/.f64 x y) x) 1/3) |
(/.f64 (*.f64 x 1/3) (/.f64 y x)) |
(/.f64 x (/.f64 y (*.f64 x 1/3))) |
(*.f64 x (/.f64 1/3 (/.f64 y x))) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(/.f64 (*.f64 (*.f64 x (+.f64 x -4)) 1/3) y) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(*.f64 (/.f64 x (/.f64 y (+.f64 x -4))) 1/3) |
(*.f64 (*.f64 x (/.f64 (+.f64 x -4) y)) 1/3) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (-.f64 1 x) (/.f64 -3 (/.f64 x y))) |
(*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 x) (/.f64 (neg.f64 y) x)) 1/3) |
(/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x))) |
(*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x)) |
(*.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 1/3) |
(*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3)) |
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
| Outputs |
|---|
(/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x))) |
7 calls:
| 111.0ms | x |
| 66.0ms | (*.f64 y 3) |
| 47.0ms | y |
| 32.0ms | (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
| 23.0ms | (*.f64 y 3) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | x |
| 0.2b | 1 | y |
| 0.2b | 1 | (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
| 0.2b | 1 | (*.f64 (-.f64 1 x) (-.f64 3 x)) |
| 0.2b | 1 | (*.f64 (-.f64 1 x) (-.f64 3 x)) |
| 0.2b | 1 | (*.f64 y 3) |
| 0.2b | 1 | (*.f64 y 3) |
Compiled 356 to 221 computations (37.9% saved)
| Inputs |
|---|
(/.f64 1 y) |
(/.f64 (neg.f64 x) y) |
(/.f64 x (*.f64 y -3/4)) |
(/.f64 (*.f64 -4/3 x) y) |
(/.f64 (-.f64 1 x) y) |
(/.f64 (*.f64 -4/3 x) y) |
(/.f64 -4/3 (/.f64 y x)) |
(*.f64 (/.f64 3 y) 1/3) |
(*.f64 x (/.f64 -4/3 y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(/.f64 x (*.f64 (/.f64 y x) 3)) |
(/.f64 x (*.f64 (/.f64 3 x) y)) |
(*.f64 x (*.f64 (/.f64 1/3 y) x)) |
(*.f64 (/.f64 x (/.f64 y x)) 1/3) |
(/.f64 (*.f64 x x) (*.f64 y 3)) |
(/.f64 (*.f64 x (*.f64 x 1/3)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 (*.f64 (/.f64 x y) x) 1/3) |
(/.f64 (*.f64 x 1/3) (/.f64 y x)) |
(/.f64 x (/.f64 y (*.f64 x 1/3))) |
(*.f64 x (/.f64 1/3 (/.f64 y x))) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(/.f64 (*.f64 (*.f64 x (+.f64 x -4)) 1/3) y) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(*.f64 (/.f64 x (/.f64 y (+.f64 x -4))) 1/3) |
(*.f64 (*.f64 x (/.f64 (+.f64 x -4) y)) 1/3) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (-.f64 1 x) (/.f64 -3 (/.f64 x y))) |
(*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(*.f64 (/.f64 (-.f64 1 x) (/.f64 (neg.f64 y) x)) 1/3) |
| Outputs |
|---|
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
3 calls:
| 201.0ms | y |
| 197.0ms | (*.f64 y 3) |
| 127.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.9b | 3 | x |
| 19.3b | 5 | y |
| 19.3b | 5 | (*.f64 y 3) |
Compiled 265 to 153 computations (42.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 0.00037417033188379345 | 158.4796679554106 |
| 120.0ms | -1111.22929852832 | -0.00019667878161859403 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
(/.f64 1 y) |
(/.f64 (neg.f64 x) y) |
(/.f64 x (*.f64 y -3/4)) |
(/.f64 (*.f64 -4/3 x) y) |
(/.f64 (-.f64 1 x) y) |
(/.f64 (*.f64 -4/3 x) y) |
(/.f64 -4/3 (/.f64 y x)) |
(*.f64 (/.f64 3 y) 1/3) |
(*.f64 x (/.f64 -4/3 y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(/.f64 x (*.f64 (/.f64 y x) 3)) |
(/.f64 x (*.f64 (/.f64 3 x) y)) |
(*.f64 x (*.f64 (/.f64 1/3 y) x)) |
(*.f64 (/.f64 x (/.f64 y x)) 1/3) |
(/.f64 (*.f64 x x) (*.f64 y 3)) |
(/.f64 (*.f64 x (*.f64 x 1/3)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 (*.f64 (/.f64 x y) x) 1/3) |
(/.f64 (*.f64 x 1/3) (/.f64 y x)) |
(/.f64 x (/.f64 y (*.f64 x 1/3))) |
(*.f64 x (/.f64 1/3 (/.f64 y x))) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(/.f64 (*.f64 (*.f64 x (+.f64 x -4)) 1/3) y) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(*.f64 (/.f64 x (/.f64 y (+.f64 x -4))) 1/3) |
(*.f64 (*.f64 x (/.f64 (+.f64 x -4) y)) 1/3) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (-.f64 1 x) (/.f64 -3 (/.f64 x y))) |
(*.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 1/3) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
| Outputs |
|---|
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
3 calls:
| 200.0ms | y |
| 178.0ms | (*.f64 y 3) |
| 47.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.9b | 3 | x |
| 19.3b | 5 | y |
| 19.3b | 5 | (*.f64 y 3) |
Compiled 246 to 141 computations (42.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 0.00037417033188379345 | 158.4796679554106 |
| 57.0ms | -1111.22929852832 | -0.00019667878161859403 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
(/.f64 1 y) |
(/.f64 (neg.f64 x) y) |
(/.f64 x (*.f64 y -3/4)) |
(/.f64 (*.f64 -4/3 x) y) |
(/.f64 (-.f64 1 x) y) |
(/.f64 (*.f64 -4/3 x) y) |
(/.f64 -4/3 (/.f64 y x)) |
(*.f64 (/.f64 3 y) 1/3) |
(*.f64 x (/.f64 -4/3 y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(/.f64 x (*.f64 (/.f64 y x) 3)) |
(/.f64 x (*.f64 (/.f64 3 x) y)) |
(*.f64 x (*.f64 (/.f64 1/3 y) x)) |
(*.f64 (/.f64 x (/.f64 y x)) 1/3) |
(/.f64 (*.f64 x x) (*.f64 y 3)) |
(/.f64 (*.f64 x (*.f64 x 1/3)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 (*.f64 (/.f64 x y) x) 1/3) |
(/.f64 (*.f64 x 1/3) (/.f64 y x)) |
(/.f64 x (/.f64 y (*.f64 x 1/3))) |
(*.f64 x (/.f64 1/3 (/.f64 y x))) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(/.f64 (*.f64 (*.f64 x (+.f64 x -4)) 1/3) y) |
| Outputs |
|---|
(/.f64 x (*.f64 (/.f64 3 x) y)) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(*.f64 (*.f64 (/.f64 x y) x) 1/3) |
3 calls:
| 247.0ms | (*.f64 y 3) |
| 127.0ms | x |
| 121.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 1.5b | 3 | x |
| 19.5b | 5 | y |
| 19.5b | 5 | (*.f64 y 3) |
Compiled 174 to 98 computations (43.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 0.00037417033188379345 | 158.4796679554106 |
| 67.0ms | -1111.22929852832 | -0.00019667878161859403 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
(/.f64 1 y) |
(/.f64 (neg.f64 x) y) |
(/.f64 x (*.f64 y -3/4)) |
(/.f64 (*.f64 -4/3 x) y) |
(/.f64 (-.f64 1 x) y) |
(/.f64 (*.f64 -4/3 x) y) |
(/.f64 -4/3 (/.f64 y x)) |
(*.f64 (/.f64 3 y) 1/3) |
(*.f64 x (/.f64 -4/3 y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(/.f64 x (*.f64 (/.f64 y x) 3)) |
(/.f64 x (*.f64 (/.f64 3 x) y)) |
(*.f64 x (*.f64 (/.f64 1/3 y) x)) |
(*.f64 (/.f64 x (/.f64 y x)) 1/3) |
(/.f64 (*.f64 x x) (*.f64 y 3)) |
(/.f64 (*.f64 x (*.f64 x 1/3)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
(*.f64 (*.f64 (/.f64 x y) x) 1/3) |
(/.f64 (*.f64 x 1/3) (/.f64 y x)) |
(/.f64 x (/.f64 y (*.f64 x 1/3))) |
(*.f64 x (/.f64 1/3 (/.f64 y x))) |
| Outputs |
|---|
(/.f64 x (*.f64 (/.f64 3 x) y)) |
(/.f64 (-.f64 1 x) y) |
(*.f64 (*.f64 (/.f64 x y) x) 1/3) |
3 calls:
| 184.0ms | (*.f64 y 3) |
| 131.0ms | y |
| 72.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 2.0b | 3 | x |
| 19.8b | 5 | y |
| 19.8b | 5 | (*.f64 y 3) |
Compiled 144 to 81 computations (43.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 0.00037417033188379345 | 158.4796679554106 |
| 18.0ms | -1111.22929852832 | -0.00019667878161859403 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
(/.f64 1 y) |
(/.f64 (neg.f64 x) y) |
(/.f64 x (*.f64 y -3/4)) |
(/.f64 (*.f64 -4/3 x) y) |
(/.f64 (-.f64 1 x) y) |
(/.f64 (*.f64 -4/3 x) y) |
(/.f64 -4/3 (/.f64 y x)) |
(*.f64 (/.f64 3 y) 1/3) |
(*.f64 x (/.f64 -4/3 y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(/.f64 x (*.f64 (/.f64 y x) 3)) |
(/.f64 x (*.f64 (/.f64 3 x) y)) |
(*.f64 x (*.f64 (/.f64 1/3 y) x)) |
(*.f64 (/.f64 x (/.f64 y x)) 1/3) |
(/.f64 (*.f64 x x) (*.f64 y 3)) |
(/.f64 (*.f64 x (*.f64 x 1/3)) y) |
(/.f64 1/3 (/.f64 (/.f64 y x) x)) |
| Outputs |
|---|
(/.f64 x (*.f64 (/.f64 3 x) y)) |
(/.f64 (-.f64 1 x) y) |
(*.f64 x (*.f64 (/.f64 1/3 y) x)) |
3 calls:
| 151.0ms | (*.f64 y 3) |
| 56.0ms | x |
| 46.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 2.0b | 3 | x |
| 19.8b | 5 | y |
| 19.8b | 5 | (*.f64 y 3) |
Compiled 116 to 68 computations (41.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 45.0ms | 0.00037417033188379345 | 158.4796679554106 |
| 25.0ms | -1111.22929852832 | -0.00019667878161859403 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
(/.f64 1 y) |
(/.f64 (neg.f64 x) y) |
(/.f64 x (*.f64 y -3/4)) |
(/.f64 (*.f64 -4/3 x) y) |
(/.f64 (-.f64 1 x) y) |
(/.f64 (*.f64 -4/3 x) y) |
(/.f64 -4/3 (/.f64 y x)) |
(*.f64 (/.f64 3 y) 1/3) |
(*.f64 x (/.f64 -4/3 y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(/.f64 x (*.f64 (/.f64 y x) 3)) |
(/.f64 x (*.f64 (/.f64 3 x) y)) |
| Outputs |
|---|
(/.f64 x (*.f64 (/.f64 3 x) y)) |
(/.f64 (-.f64 1 x) y) |
(/.f64 x (*.f64 (/.f64 3 x) y)) |
2 calls:
| 76.0ms | y |
| 27.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 2.0b | 3 | x |
| 19.8b | 5 | y |
Compiled 76 to 46 computations (39.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 55.0ms | 0.00037417033188379345 | 158.4796679554106 |
| 18.0ms | -1111.22929852832 | -0.00019667878161859403 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
(/.f64 1 y) |
(/.f64 (neg.f64 x) y) |
(/.f64 x (*.f64 y -3/4)) |
(/.f64 (*.f64 -4/3 x) y) |
(/.f64 (-.f64 1 x) y) |
(/.f64 (*.f64 -4/3 x) y) |
(/.f64 -4/3 (/.f64 y x)) |
(*.f64 (/.f64 3 y) 1/3) |
(*.f64 x (/.f64 -4/3 y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(/.f64 x (*.f64 (/.f64 y x) 3)) |
| Outputs |
|---|
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(/.f64 (-.f64 1 x) y) |
(/.f64 x (*.f64 (/.f64 y x) 3)) |
2 calls:
| 38.0ms | y |
| 21.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 2.1b | 3 | x |
| 19.8b | 5 | y |
Compiled 69 to 42 computations (39.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 0.00037417033188379345 | 158.4796679554106 |
| 20.0ms | -1111.22929852832 | -0.00019667878161859403 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
(/.f64 1 y) |
(/.f64 (neg.f64 x) y) |
(/.f64 x (*.f64 y -3/4)) |
(/.f64 (*.f64 -4/3 x) y) |
(/.f64 (-.f64 1 x) y) |
(/.f64 (*.f64 -4/3 x) y) |
(/.f64 -4/3 (/.f64 y x)) |
(*.f64 (/.f64 3 y) 1/3) |
(*.f64 x (/.f64 -4/3 y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
| Outputs |
|---|
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
(/.f64 (-.f64 1 x) y) |
(*.f64 x (/.f64 (*.f64 x 1/3) y)) |
2 calls:
| 35.0ms | y |
| 22.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 2.1b | 3 | x |
| 19.9b | 5 | y |
Compiled 62 to 39 computations (37.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 141.0ms | 0.00037417033188379345 | 158.4796679554106 |
| 47.0ms | -1111.22929852832 | -0.00019667878161859403 |
Compiled 18 to 14 computations (22.2% saved)
Total -37.9b remaining (-161.4%)
Threshold costs -37.9b (-161.4%)
| Inputs |
|---|
(/.f64 1 y) |
(/.f64 (neg.f64 x) y) |
(/.f64 x (*.f64 y -3/4)) |
(/.f64 (*.f64 -4/3 x) y) |
(/.f64 (-.f64 1 x) y) |
(/.f64 (*.f64 -4/3 x) y) |
(/.f64 -4/3 (/.f64 y x)) |
(*.f64 (/.f64 3 y) 1/3) |
(*.f64 x (/.f64 -4/3 y)) |
(*.f64 -4/3 (/.f64 x y)) |
| Outputs |
|---|
(/.f64 1 y) |
2 calls:
| 13.0ms | y |
| 13.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 23.5b | 1 | x |
| 23.5b | 1 | y |
Compiled 55 to 35 computations (36.4% saved)
| 1× | egg-herbie |
| 15× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 384 |
| 1 | 85 | 384 |
| 2 | 94 | 384 |
| 3 | 98 | 384 |
| 4 | 100 | 384 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x))))) |
(/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x))) |
(if (<=.f64 x -4887238139429023/4398046511104) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) (if (<=.f64 x 6902224352235303/18446744073709551616) (+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))) |
(if (<=.f64 x -4887238139429023/4398046511104) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) (if (<=.f64 x 6902224352235303/18446744073709551616) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))) |
(if (<=.f64 x -4887238139429023/4398046511104) (/.f64 x (*.f64 (/.f64 3 x) y)) (if (<=.f64 x 6902224352235303/18446744073709551616) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (*.f64 (*.f64 (/.f64 x y) x) 1/3))) |
(if (<=.f64 x -4887238139429023/4398046511104) (/.f64 x (*.f64 (/.f64 3 x) y)) (if (<=.f64 x 6902224352235303/18446744073709551616) (/.f64 (-.f64 1 x) y) (*.f64 (*.f64 (/.f64 x y) x) 1/3))) |
(if (<=.f64 x -4887238139429023/4398046511104) (/.f64 x (*.f64 (/.f64 3 x) y)) (if (<=.f64 x 6902224352235303/18446744073709551616) (/.f64 (-.f64 1 x) y) (*.f64 x (*.f64 (/.f64 1/3 y) x)))) |
(if (<=.f64 x -4887238139429023/4398046511104) (/.f64 x (*.f64 (/.f64 3 x) y)) (if (<=.f64 x 6902224352235303/18446744073709551616) (/.f64 (-.f64 1 x) y) (/.f64 x (*.f64 (/.f64 3 x) y)))) |
(if (<=.f64 x -4887238139429023/4398046511104) (*.f64 x (/.f64 (*.f64 x 1/3) y)) (if (<=.f64 x 6902224352235303/18446744073709551616) (/.f64 (-.f64 1 x) y) (/.f64 x (*.f64 (/.f64 y x) 3)))) |
(if (<=.f64 x -4887238139429023/4398046511104) (*.f64 x (/.f64 (*.f64 x 1/3) y)) (if (<=.f64 x 6902224352235303/18446744073709551616) (/.f64 (-.f64 1 x) y) (*.f64 x (/.f64 (*.f64 x 1/3) y)))) |
(/.f64 1 y) |
| Outputs |
|---|
(-.f64 (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x))))) |
(/.f64 (-.f64 1 x) (/.f64 (*.f64 3 y) (-.f64 3 x))) |
(if (<=.f64 x -4887238139429023/4398046511104) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) (if (<=.f64 x 6902224352235303/18446744073709551616) (+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))) |
(if (<=.f64 x -4887238139429023/4398046511104) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) (if (<=.f64 x 6902224352235303/18446744073709551616) (+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3)) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))) |
(if (<=.f64 x -4887238139429023/4398046511104) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) (if (<=.f64 x 6902224352235303/18446744073709551616) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))) |
(if (<=.f64 x -4887238139429023/4398046511104) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) (if (<=.f64 x 6902224352235303/18446744073709551616) (/.f64 (+.f64 1 (*.f64 x -4/3)) y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))))) |
(if (<=.f64 x -4887238139429023/4398046511104) (/.f64 x (*.f64 (/.f64 3 x) y)) (if (<=.f64 x 6902224352235303/18446744073709551616) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (*.f64 (*.f64 (/.f64 x y) x) 1/3))) |
(if (<=.f64 x -4887238139429023/4398046511104) (/.f64 x (*.f64 y (/.f64 3 x))) (if (<=.f64 x 6902224352235303/18446744073709551616) (/.f64 (+.f64 1 (*.f64 x -4/3)) y) (*.f64 1/3 (*.f64 x (/.f64 x y))))) |
(if (<=.f64 x -4887238139429023/4398046511104) (/.f64 x (*.f64 (/.f64 3 x) y)) (if (<=.f64 x 6902224352235303/18446744073709551616) (/.f64 (-.f64 1 x) y) (*.f64 (*.f64 (/.f64 x y) x) 1/3))) |
(if (<=.f64 x -4887238139429023/4398046511104) (/.f64 x (*.f64 y (/.f64 3 x))) (if (<=.f64 x 6902224352235303/18446744073709551616) (/.f64 (-.f64 1 x) y) (*.f64 1/3 (*.f64 x (/.f64 x y))))) |
(if (<=.f64 x -4887238139429023/4398046511104) (/.f64 x (*.f64 (/.f64 3 x) y)) (if (<=.f64 x 6902224352235303/18446744073709551616) (/.f64 (-.f64 1 x) y) (*.f64 x (*.f64 (/.f64 1/3 y) x)))) |
(if (<=.f64 x -4887238139429023/4398046511104) (/.f64 x (*.f64 y (/.f64 3 x))) (if (<=.f64 x 6902224352235303/18446744073709551616) (/.f64 (-.f64 1 x) y) (*.f64 x (*.f64 x (/.f64 1/3 y))))) |
(if (<=.f64 x -4887238139429023/4398046511104) (/.f64 x (*.f64 (/.f64 3 x) y)) (if (<=.f64 x 6902224352235303/18446744073709551616) (/.f64 (-.f64 1 x) y) (/.f64 x (*.f64 (/.f64 3 x) y)))) |
(if (<=.f64 x -4887238139429023/4398046511104) (/.f64 x (*.f64 y (/.f64 3 x))) (if (<=.f64 x 6902224352235303/18446744073709551616) (/.f64 (-.f64 1 x) y) (/.f64 x (*.f64 y (/.f64 3 x))))) |
(if (<=.f64 x -4887238139429023/4398046511104) (*.f64 x (/.f64 (*.f64 x 1/3) y)) (if (<=.f64 x 6902224352235303/18446744073709551616) (/.f64 (-.f64 1 x) y) (/.f64 x (*.f64 (/.f64 y x) 3)))) |
(if (<=.f64 x -4887238139429023/4398046511104) (*.f64 x (/.f64 (*.f64 x 1/3) y)) (if (<=.f64 x 6902224352235303/18446744073709551616) (/.f64 (-.f64 1 x) y) (/.f64 x (*.f64 3 (/.f64 y x))))) |
(if (<=.f64 x -4887238139429023/4398046511104) (*.f64 x (/.f64 (*.f64 x 1/3) y)) (if (<=.f64 x 6902224352235303/18446744073709551616) (/.f64 (-.f64 1 x) y) (*.f64 x (/.f64 (*.f64 x 1/3) y)))) |
(/.f64 1 y) |
Compiled 287 to 194 computations (32.4% saved)
Compiled 267 to 170 computations (36.3% saved)
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