Time bar (total: 6.2s)
| 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 |
| 12.5% | 87.4% | 0.1% | 5 |
| 31.2% | 68.7% | 0.1% | 6 |
| 40.6% | 59.3% | 0.1% | 7 |
| 57.8% | 42.1% | 0.1% | 8 |
| 63.2% | 36.7% | 0.1% | 9 |
| 72.2% | 25.8% | 2% | 10 |
| 75.1% | 21.7% | 3.2% | 11 |
| 79.7% | 14.2% | 6% | 12 |
Compiled 14 to 10 computations (28.6% saved)
| 1.1s | 8256× | body | 256 | valid |
| 68.0ms | 619× | body | 256 | invalid |
| 2× | egg-herbie |
| 1036× | fma-def_binary64 |
| 830× | cube-prod_binary64 |
| 485× | distribute-rgt-in_binary64 |
| 438× | distribute-lft-in_binary64 |
| 422× | swap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 32 |
| 1 | 38 | 28 |
| 2 | 66 | 28 |
| 3 | 170 | 28 |
| 4 | 365 | 28 |
| 5 | 820 | 28 |
| 6 | 1235 | 28 |
| 7 | 1544 | 28 |
| 8 | 2721 | 28 |
| 9 | 3468 | 28 |
| 10 | 4344 | 28 |
| 11 | 4895 | 28 |
| 12 | 5711 | 28 |
| 13 | 6270 | 28 |
| 14 | 7127 | 28 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1)) |
(/.f64 (*.f64 y (+.f64 (/.f64 y x) 1)) (+.f64 y 1)) |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1)) |
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)) |
(/.f64 (*.f64 y (+.f64 (/.f64 y x) 1)) (+.f64 y 1)) |
(/.f64 y (/.f64 (+.f64 y 1) (+.f64 1 (/.f64 y x)))) |
(/.f64 (fma.f64 y (/.f64 y x) y) (+.f64 y 1)) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 971× | fma-def_binary64 |
| 687× | distribute-rgt-in_binary64 |
| 632× | distribute-lft-in_binary64 |
| 546× | associate-/l*_binary64 |
| 494× | associate-/l/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 1 | 22 | 14 |
| 2 | 36 | 14 |
| 3 | 81 | 14 |
| 4 | 143 | 14 |
| 5 | 287 | 14 |
| 6 | 742 | 14 |
| 7 | 1081 | 14 |
| 8 | 1605 | 14 |
| 9 | 1832 | 14 |
| 10 | 2262 | 14 |
| 11 | 2926 | 14 |
| 12 | 3255 | 14 |
| 13 | 3794 | 14 |
| 14 | 7563 | 14 |
| 15 | 7880 | 14 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1)) |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1)) |
(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))) |
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)) |
Compiled 23 to 13 computations (43.5% 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 |
|---|---|---|
| ▶ | 9.3b | (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)) |
| ▶ | 9.3b | (/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1)) |
Compiled 25 to 16 computations (36% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 8.7b | (/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1)) | |
| 0.1b | (*.f64 x (+.f64 (/.f64 x y) 1)) | |
| ✓ | 0.1b | (*.f64 x (+.f64 (/.f64 x y) 1)) |
| ✓ | 8.7b | (/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1)) |
Compiled 34 to 17 computations (50% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 x (+.f64 (/.f64 x y) 1)) |
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1)) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1)) |
| 1.0ms | y | @ | -inf | (/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1)) |
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 574× | log-prod_binary64 |
| 475× | prod-diff_binary64 |
| 279× | pow2_binary64 |
| 271× | fma-def_binary64 |
| 207× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 26 |
| 1 | 209 | 22 |
| 2 | 3216 | 22 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1)) |
(*.f64 x (+.f64 (/.f64 x y) 1)) |
| Outputs |
|---|
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#<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (/.f64 x y)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (/.f64 x y) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (/.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (/.f64 x y) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (/.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 x y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 x y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (/.f64 x y)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (/.f64 x y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 x y) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 x y) 1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (/.f64 1 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (*.f64 x (/.f64 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)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (/.f64 x y)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 2) (cbrt.f64 (*.f64 x (/.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (/.f64 x y))) (sqrt.f64 (*.f64 x (/.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (sqrt.f64 x)) (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (/.f64 x y) x))))))) |
| 1× | egg-herbie |
| 659× | associate--l+_binary64 |
| 650× | associate-+l-_binary64 |
| 504× | unsub-neg_binary64 |
| 416× | +-commutative_binary64 |
| 361× | associate--r+_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 699 |
| 1 | 153 | 699 |
| 2 | 446 | 625 |
| 3 | 2041 | 596 |
| 4 | 7415 | 590 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x) |
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)) |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))) |
(/.f64 x y) |
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x)))) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1))))) (/.f64 1 x)) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(/.f64 x (+.f64 1 x)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(/.f64 x (+.f64 1 x)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
x |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
x |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
x |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
| Outputs |
|---|
x |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x) |
(fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) x) |
(fma.f64 x (+.f64 (/.f64 x y) (neg.f64 x)) x) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)) |
(fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)) |
(fma.f64 (pow.f64 x 3) (-.f64 1 (/.f64 1 y)) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)) |
(fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) (fma.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)) x)) |
(+.f64 x (*.f64 x (*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 (+.f64 (neg.f64 x) 1) x)))) |
(+.f64 x (*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 (*.f64 x x) (pow.f64 x 3)))) |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (pow.f64 x 3) (-.f64 1 (/.f64 1 y)) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) (fma.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)) x))) |
(+.f64 x (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 1 y) -1) (*.f64 (+.f64 (/.f64 x y) (neg.f64 x)) (+.f64 x -1))))) |
(+.f64 x (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 1 y) -1) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1))))) |
(/.f64 x y) |
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) |
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y))) |
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) |
(+.f64 (/.f64 x y) (-.f64 1 (/.f64 1 y))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))) |
(+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (-.f64 1 (/.f64 1 y)) (-.f64 (/.f64 x y) (/.f64 1 x)))) |
(+.f64 1 (+.f64 (/.f64 x y) (-.f64 (/.f64 (+.f64 (/.f64 1 y) -1) x) (/.f64 1 y)))) |
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 -1 y) (/.f64 (+.f64 (/.f64 1 y) -1) x)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y))))))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)) (+.f64 (/.f64 1 y) (/.f64 1 x))) 1)) |
(+.f64 (/.f64 x y) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (+.f64 (/.f64 1 y) -1) x)) (+.f64 (/.f64 1 y) -1))) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1))) |
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y))) |
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) |
(+.f64 (/.f64 x y) (-.f64 1 (/.f64 1 y))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x)))) |
(+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (-.f64 1 (/.f64 1 y)) (-.f64 (/.f64 x y) (/.f64 1 x)))) |
(+.f64 1 (+.f64 (/.f64 x y) (-.f64 (/.f64 (+.f64 (/.f64 1 y) -1) x) (/.f64 1 y)))) |
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 -1 y) (/.f64 (+.f64 (/.f64 1 y) -1) x)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1))))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y))))))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)) (+.f64 (/.f64 1 y) (/.f64 1 x))) 1)) |
(+.f64 (/.f64 x y) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (+.f64 (/.f64 1 y) -1) x)) (+.f64 (/.f64 1 y) -1))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))) |
(*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(/.f64 x (+.f64 1 x)) |
(/.f64 x (+.f64 x 1)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(/.f64 x (+.f64 1 x)) |
(/.f64 x (+.f64 x 1)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
x |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(+.f64 x (*.f64 x (/.f64 x 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 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(+.f64 x (*.f64 x (/.f64 x 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 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(+.f64 x (*.f64 x (/.f64 x 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 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(+.f64 x (*.f64 x (/.f64 x y))) |
x |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(+.f64 x (*.f64 x (/.f64 x y))) |
x |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(+.f64 x (*.f64 x (/.f64 x y))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 8.7b | (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)) | |
| 0.1b | (fma.f64 x (/.f64 x y) x) | |
| ✓ | 0.1b | (fma.f64 x (/.f64 x y) x) |
| ✓ | 8.7b | (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)) |
Compiled 27 to 10 computations (63% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)) |
| 1.0ms | x | @ | -inf | (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)) |
| 1.0ms | x | @ | -inf | (fma.f64 x (/.f64 x y) x) |
| 1.0ms | y | @ | -inf | (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)) |
| 1.0ms | y | @ | inf | (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 642× | unpow-prod-down_binary64 |
| 447× | log-prod_binary64 |
| 263× | pow-prod-down_binary64 |
| 235× | pow2_binary64 |
| 199× | prod-diff_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 22 |
| 1 | 175 | 22 |
| 2 | 2459 | 22 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)) |
(fma.f64 x (/.f64 x y) x) |
| Outputs |
|---|
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x y) x) 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (fma.f64 x (/.f64 x y) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) (log1p.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (/.f64 x y)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (/.f64 x y) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (/.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (/.f64 x y) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (/.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (/.f64 x y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (/.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x)) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x)) 2) (cbrt.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (/.f64 x y) x)) (sqrt.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 x (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x (/.f64 x y) x) (cbrt.f64 (fma.f64 x (/.f64 x y) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x (/.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x))) 2) 3) (cbrt.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 x y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (/.f64 x y)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (/.f64 x y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x y)) 2) (*.f64 x x)) (-.f64 (*.f64 x (/.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (/.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (/.f64 x y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (/.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 x) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) (/.f64 x y)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (/.f64 x y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (/.f64 x y) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (/.f64 x y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (/.f64 x y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (/.f64 x y) x))))))) |
| 1× | egg-herbie |
| 630× | associate--l+_binary64 |
| 569× | associate-+l-_binary64 |
| 403× | +-commutative_binary64 |
| 378× | unsub-neg_binary64 |
| 319× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 699 |
| 1 | 158 | 699 |
| 2 | 446 | 643 |
| 3 | 1907 | 607 |
| 4 | 6504 | 603 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x) |
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)) |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))) |
(/.f64 x y) |
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x)))) |
(/.f64 x y) |
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x))))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2))))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(/.f64 x (+.f64 1 x)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(/.f64 x (+.f64 1 x)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
x |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
x |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
x |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
| Outputs |
|---|
x |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x) |
(fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) x) |
(fma.f64 x (+.f64 (/.f64 x y) (neg.f64 x)) x) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)) |
(fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)) |
(fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)) |
(fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x)) |
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 -1 x)))) |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x))) |
(+.f64 (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x) (*.f64 (+.f64 (/.f64 x y) (neg.f64 x)) (+.f64 x (pow.f64 x 3)))) |
(+.f64 (fma.f64 (*.f64 x x) (-.f64 x (/.f64 x y)) x) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x (pow.f64 x 3)))) |
(/.f64 x y) |
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) |
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y))) |
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y)))) (+.f64 (/.f64 1 y) (/.f64 1 x))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 x)))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 x)))) |
(+.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y))))))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 x (*.f64 x y)))) (/.f64 -1 x)))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 1 (*.f64 x (*.f64 x y))))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (+.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 -1 (*.f64 x (*.f64 x y))))) |
(/.f64 x y) |
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) |
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y))) |
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y)))) (+.f64 (/.f64 1 y) (/.f64 1 x))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 x)))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 x)))) |
(+.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x))))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2))))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y))))))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 x (*.f64 x y)))) (/.f64 -1 x)))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 1 (*.f64 x (*.f64 x y))))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (+.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 -1 (*.f64 x (*.f64 x y))))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))) |
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(/.f64 x (+.f64 1 x)) |
(/.f64 x (+.f64 x 1)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(/.f64 x (+.f64 1 x)) |
(/.f64 x (+.f64 x 1)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
x |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
x |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
x |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
Compiled 4627 to 2165 computations (53.2% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 259 | 15 | 274 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 261 | 15 | 276 |
| Status | Error | Program |
|---|---|---|
| ▶ | 41.5b | (/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1)) |
| ▶ | 9.4b | (pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -1) |
| 20.9b | (/.f64 (/.f64 (*.f64 x (+.f64 1 (pow.f64 (/.f64 x y) 3))) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))) (+.f64 x 1)) | |
| 36.0b | (-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) | |
| 37.5b | x | |
| ▶ | 30.1b | (+.f64 x (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 1 y) -1) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1))))) |
| 45.1b | (/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 x y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x (/.f64 x y)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (/.f64 x y)) x)))) (+.f64 x 1)) | |
| 9.3b | (/.f64 (+.f64 (*.f64 x (/.f64 x y)) x) (+.f64 x 1)) | |
| 30.6b | (/.f64 x (+.f64 x 1)) | |
| ▶ | 42.3b | (/.f64 x y) |
| ▶ | 0.1b | (*.f64 (+.f64 (/.f64 x y) 1) (*.f64 x (/.f64 1 (+.f64 x 1)))) |
| 38.2b | (/.f64 x (/.f64 (fma.f64 x y y) x)) | |
| 33.8b | (/.f64 (fma.f64 (*.f64 x (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) x) (+.f64 x 1)) | |
| 30.2b | (+.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 -1 x)))) | |
| 18.1b | (/.f64 (/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (+.f64 (/.f64 x y) -1)) (+.f64 x 1)) |
Compiled 461 to 286 computations (38% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 x (/.f64 1 (+.f64 x 1))) | |
| 0.1b | (*.f64 (+.f64 (/.f64 x y) 1) (*.f64 x (/.f64 1 (+.f64 x 1)))) | |
| 0.0b | (/.f64 1 (+.f64 x 1)) | |
| ✓ | 0.0b | (/.f64 1 (+.f64 x 1)) |
| ✓ | 0.1b | (*.f64 (+.f64 (/.f64 x y) 1) (*.f64 x (/.f64 1 (+.f64 x 1)))) |
| ✓ | 0.1b | (*.f64 x (/.f64 1 (+.f64 x 1))) |
Compiled 41 to 25 computations (39% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 x (/.f64 1 (+.f64 x 1))) |
| 0.0ms | x | @ | 0 | (*.f64 x (/.f64 1 (+.f64 x 1))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (+.f64 x 1)) |
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 x 1)) |
| 0.0ms | x | @ | -inf | (*.f64 x (/.f64 1 (+.f64 x 1))) |
| 1× | batch-egg-rewrite |
| 587× | log-prod_binary64 |
| 331× | prod-diff_binary64 |
| 300× | fma-def_binary64 |
| 290× | pow2_binary64 |
| 231× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 30 |
| 1 | 227 | 30 |
| 2 | 3244 | 30 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (/.f64 1 (+.f64 x 1))) |
(*.f64 (+.f64 (/.f64 x y) 1) (*.f64 x (/.f64 1 (+.f64 x 1)))) |
(/.f64 1 (+.f64 x 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 x 1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (+.f64 x 1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (fma.f64 -1 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (fma.f64 -1 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x (+.f64 x 1)) (+.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (+.f64 1 (/.f64 x y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (+.f64 1 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (+.f64 1 (/.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (+.f64 1 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x 1)) (+.f64 1 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (/.f64 x y))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 (/.f64 y x) -3))) (*.f64 (+.f64 x 1) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (*.f64 (+.f64 x 1) (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 y x) -3)) x) (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) x) (*.f64 (+.f64 (/.f64 x y) -1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 y x) -3)) (/.f64 x (+.f64 x 1))) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) (/.f64 x (+.f64 x 1))) (+.f64 (/.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (+.f64 x 1)) (+.f64 1 (pow.f64 (/.f64 y x) -3))) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (+.f64 x 1)) (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (+.f64 (/.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 1 (/.f64 x y))) 1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 1 (/.f64 x y))) -1) (fma.f64 -1 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) (+.f64 1 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) (+.f64 1 (/.f64 x y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) (+.f64 1 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x 1)) (+.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (/.f64 x y)) (-.f64 (log.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 x y)) (-.f64 (log.f64 x) (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x 1)) (+.f64 1 (/.f64 x y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (pow.f64 (+.f64 x 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 (+.f64 x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) (/.f64 1 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (fma.f64 -1 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x 1)))))))) |
| 1× | egg-herbie |
| 434× | associate--r+_binary64 |
| 416× | associate-*l*_binary64 |
| 400× | sub-neg_binary64 |
| 317× | associate-*r*_binary64 |
| 313× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 810 |
| 1 | 232 | 798 |
| 2 | 683 | 719 |
| 3 | 2739 | 693 |
| 4 | 7724 | 693 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
x |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x) |
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)) |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))) |
(/.f64 x y) |
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x)))) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1))))) (/.f64 1 x)) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(/.f64 x (+.f64 1 x)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(/.f64 x (+.f64 1 x)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(fma.f64 -1 (*.f64 x x) x) |
(-.f64 x (*.f64 x x)) |
(*.f64 (-.f64 1 x) x) |
(*.f64 x (-.f64 1 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) |
(fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3))) |
(-.f64 (+.f64 x (pow.f64 x 3)) (*.f64 x x)) |
(*.f64 x (fma.f64 x x (-.f64 1 x))) |
(*.f64 x (-.f64 (fma.f64 x x 1) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x))) |
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (+.f64 x (pow.f64 x 3)))) |
(-.f64 (-.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)) (*.f64 x x)) |
(-.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4))) |
(*.f64 (fma.f64 x x 1) (*.f64 x (-.f64 1 x))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))) |
(-.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 1 x) 1)) |
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x))) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))) |
(-.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 1 x) 1)) |
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x))) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
x |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x) |
(fma.f64 (*.f64 x x) (+.f64 -1 (/.f64 1 y)) x) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)) |
(fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)) |
(fma.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)) (fma.f64 (*.f64 x x) (+.f64 -1 (/.f64 1 y)) x)) |
(fma.f64 x (*.f64 x (+.f64 -1 (/.f64 1 y))) (fma.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)) x)) |
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (-.f64 1 x) (+.f64 -1 (/.f64 1 y))))) |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))) |
(fma.f64 (pow.f64 x 4) (+.f64 -1 (/.f64 1 y)) (fma.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)) (fma.f64 (*.f64 x x) (+.f64 -1 (/.f64 1 y)) x))) |
(fma.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)) (fma.f64 (pow.f64 x 4) (+.f64 -1 (/.f64 1 y)) (fma.f64 (*.f64 x x) (+.f64 -1 (/.f64 1 y)) x))) |
(+.f64 x (*.f64 (*.f64 x x) (+.f64 (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1)) (+.f64 -1 (/.f64 1 y))))) |
(/.f64 x y) |
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) |
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 x y) (+.f64 1 (/.f64 -1 y))) |
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 1 (*.f64 x y))) (/.f64 x y)) (+.f64 (/.f64 1 x) (/.f64 1 y))) |
(+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (+.f64 (/.f64 x y) (+.f64 1 (/.f64 -1 y))) (/.f64 -1 x))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 -1 y)) (/.f64 (+.f64 -1 (/.f64 1 y)) x))) |
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) x) (/.f64 -1 y)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x)))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 (*.f64 x x) y)))))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y)))) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 y) (/.f64 (/.f64 1 (*.f64 x y)) x))))) |
(+.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 (/.f64 1 x) y))) (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 y)))) |
(+.f64 (/.f64 (/.f64 1 x) y) (+.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 x x)) (-.f64 (/.f64 -1 x) (/.f64 1 y)))) 1)) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1))) |
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 x y) (+.f64 1 (/.f64 -1 y))) |
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))) (/.f64 1 x)) |
(-.f64 (+.f64 (+.f64 1 (/.f64 1 (*.f64 x y))) (/.f64 x y)) (+.f64 (/.f64 1 x) (/.f64 1 y))) |
(+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (+.f64 (/.f64 x y) (+.f64 1 (/.f64 -1 y))) (/.f64 -1 x))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 -1 y)) (/.f64 (+.f64 -1 (/.f64 1 y)) x))) |
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) x) (/.f64 -1 y)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1))))) (/.f64 1 x)) |
(-.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (neg.f64 (+.f64 (/.f64 1 y) -1)))) (/.f64 1 x)) |
(+.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (+.f64 1 (/.f64 -1 y)))) (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)) (/.f64 1 x))) |
(+.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) x) (+.f64 (+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)) (/.f64 x y)) (+.f64 1 (/.f64 -1 y)))) |
(+.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) (*.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (+.f64 -1 (/.f64 1 y)) x))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))) |
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(/.f64 x (+.f64 1 x)) |
(/.f64 x (+.f64 x 1)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(/.f64 x (+.f64 1 x)) |
(/.f64 x (+.f64 x 1)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (neg.f64 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 1 (fma.f64 -1 x (*.f64 x x))) |
(+.f64 (*.f64 x x) (-.f64 1 x)) |
(fma.f64 x x (-.f64 1 x)) |
(-.f64 (fma.f64 x x 1) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 x x) (-.f64 1 x)) (pow.f64 x 3)) |
(-.f64 1 (*.f64 x (fma.f64 x x (-.f64 1 x)))) |
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3)) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 (/.f64 1 x) x)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 (/.f64 1 x) x)))) |
Compiled 7 to 3 computations (57.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 8.8b | (/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1)) | |
| 0.2b | (*.f64 x (/.f64 x y)) | |
| ✓ | 0.2b | (*.f64 x (/.f64 x y)) |
| ✓ | 8.8b | (/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1)) |
Compiled 25 to 10 computations (60% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1)) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1)) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1)) |
| 1.0ms | x | @ | 0 | (*.f64 x (/.f64 x y)) |
| 1.0ms | x | @ | inf | (*.f64 x (/.f64 x y)) |
| 1× | batch-egg-rewrite |
| 501× | log-prod_binary64 |
| 383× | exp-prod_binary64 |
| 307× | pow-prod-down_binary64 |
| 235× | pow2_binary64 |
| 179× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 1 | 177 | 20 |
| 2 | 2610 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 x y)) (+.f64 x 1)) |
(*.f64 x (/.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 (+.f64 x 1) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 x y) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (*.f64 x (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x y)) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))) 2) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) (*.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 (/.f64 x y))) (/.f64 1 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (/.f64 x y) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) 1) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) 1) (/.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 y)) 1) (/.f64 (/.f64 x (sqrt.f64 y)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (/.f64 x y) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) (/.f64 (*.f64 x (/.f64 x y)) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (/.f64 x (sqrt.f64 y)) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 x y) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4)) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (/.f64 x y)) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (/.f64 x y)) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y x) (/.f64 (+.f64 x 1) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 (+.f64 x 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 y x) (/.f64 (+.f64 x 1) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x))) 2)) (cbrt.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (/.f64 x y)) (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (/.f64 x (sqrt.f64 y))) (*.f64 1/2 (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (*.f64 x (/.f64 x y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (log1p.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (-.f64 (log1p.f64 x) (log.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x y))) 1) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 x (/.f64 x y))) (*.f64 (log1p.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x y))) 1) (*.f64 (log1p.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (/.f64 x y)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (/.f64 x y))))) (sqrt.f64 (log.f64 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 2 (log.f64 x)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 x y)))))))) |
| 1× | egg-herbie |
| 638× | difference-of-squares_binary64 |
| 435× | sub-neg_binary64 |
| 296× | div-sub_binary64 |
| 273× | times-frac_binary64 |
| 270× | distribute-rgt-neg-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 538 |
| 1 | 101 | 534 |
| 2 | 237 | 510 |
| 3 | 726 | 497 |
| 4 | 3476 | 489 |
| 5 | 6712 | 489 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 x 2) y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 2) y)))) |
(/.f64 x y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2))))) |
(/.f64 x y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2))))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
| Outputs |
|---|
(/.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 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y)) |
(-.f64 (/.f64 x (/.f64 y x)) (/.f64 (pow.f64 x 3) y)) |
(-.f64 (*.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 3) y)) |
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 (-.f64 1 x) (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))) |
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y)) (/.f64 (pow.f64 x 4) y)) |
(+.f64 (/.f64 x (/.f64 y x)) (-.f64 (/.f64 (pow.f64 x 4) y) (/.f64 (pow.f64 x 3) y))) |
(+.f64 (*.f64 (/.f64 x y) x) (-.f64 (/.f64 (pow.f64 x 4) y) (/.f64 (pow.f64 x 3) y))) |
(fma.f64 x (/.f64 x y) (*.f64 (/.f64 (pow.f64 x 3) y) (+.f64 -1 x))) |
(*.f64 (*.f64 x (/.f64 x y)) (-.f64 (+.f64 1 (*.f64 x x)) x)) |
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (/.f64 (pow.f64 x 4) y) (fma.f64 -1 (/.f64 (pow.f64 x 3) y) (fma.f64 -1 (/.f64 (pow.f64 x 5) y) (/.f64 (*.f64 x x) y)))) |
(+.f64 (-.f64 (/.f64 x (/.f64 y x)) (/.f64 (pow.f64 x 5) y)) (-.f64 (/.f64 (pow.f64 x 4) y) (/.f64 (pow.f64 x 3) y))) |
(+.f64 (*.f64 (/.f64 x y) x) (-.f64 (-.f64 (/.f64 (pow.f64 x 4) y) (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 5) y))) |
(fma.f64 x (/.f64 x y) (-.f64 (*.f64 (/.f64 (pow.f64 x 3) y) (+.f64 -1 x)) (/.f64 (pow.f64 x 5) y))) |
(-.f64 (*.f64 (*.f64 x (/.f64 x y)) (-.f64 (+.f64 1 (*.f64 x x)) x)) (/.f64 (pow.f64 x 5) y)) |
(/.f64 x y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(+.f64 (/.f64 x y) (/.f64 -1 y)) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y)) |
(+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 -1 y))) |
(+.f64 (/.f64 (/.f64 1 x) y) (-.f64 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 -1 y))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 (*.f64 x x) y))))) |
(+.f64 (/.f64 x y) (-.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 (*.f64 x x) y))))) |
(-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 x (*.f64 x y))))) |
(+.f64 (+.f64 (/.f64 (/.f64 1 x) y) (-.f64 (/.f64 x y) (/.f64 1 y))) (/.f64 (/.f64 -1 y) (*.f64 x x))) |
(+.f64 (-.f64 (/.f64 x y) (/.f64 1 y)) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 1 (*.f64 x y)))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 -1 y)) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 1 (*.f64 x y)))) |
(/.f64 x y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(+.f64 (/.f64 x y) (/.f64 -1 y)) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y)) |
(+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 -1 y))) |
(+.f64 (/.f64 (/.f64 1 x) y) (-.f64 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 -1 y))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 x y) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 (*.f64 x x) y))))) |
(+.f64 (/.f64 x y) (-.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 (*.f64 x x) y))))) |
(-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 x (*.f64 x y))))) |
(+.f64 (+.f64 (/.f64 (/.f64 1 x) y) (-.f64 (/.f64 x y) (/.f64 1 y))) (/.f64 (/.f64 -1 y) (*.f64 x x))) |
(+.f64 (-.f64 (/.f64 x y) (/.f64 1 y)) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 1 (*.f64 x y)))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 -1 y)) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 1 (*.f64 x y)))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1)) |
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(/.f64 (*.f64 x x) (fma.f64 x y y)) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1)) |
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(/.f64 (*.f64 x x) (fma.f64 x y y)) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1)) |
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(/.f64 (*.f64 x x) (fma.f64 x y y)) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1)) |
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(/.f64 (*.f64 x x) (fma.f64 x y y)) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1)) |
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(/.f64 (*.f64 x x) (fma.f64 x y y)) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1)) |
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(/.f64 (*.f64 x x) (fma.f64 x y y)) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1)) |
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(/.f64 (*.f64 x x) (fma.f64 x y y)) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1)) |
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(/.f64 (*.f64 x x) (fma.f64 x y y)) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1)) |
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(/.f64 (*.f64 x x) (fma.f64 x y y)) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1)) |
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(/.f64 (*.f64 x x) (fma.f64 x y y)) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1)) |
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(/.f64 (*.f64 x x) (fma.f64 x y y)) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (/.f64 (*.f64 x x) y) (+.f64 x 1)) |
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(/.f64 (*.f64 x x) (fma.f64 x y y)) |
(*.f64 x (/.f64 x (fma.f64 x y 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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (-.f64 (/.f64 x y) x) | |
| 0.0b | (+.f64 (+.f64 (/.f64 1 y) -1) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1))) | |
| 0.0b | (+.f64 x (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 1 y) -1) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1))))) | |
| 0.0b | (+.f64 (/.f64 1 y) -1) | |
| ✓ | 0.0b | (+.f64 (+.f64 (/.f64 1 y) -1) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1))) |
| ✓ | 0.0b | (-.f64 (/.f64 x y) x) |
| ✓ | 0.0b | (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1)) |
| ✓ | 4.7b | (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 1 y) -1) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1)))) |
Compiled 92 to 45 computations (51.1% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 1 y) -1) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1)))) |
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 1 y) -1) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1)))) |
| 1.0ms | x | @ | -inf | (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 1 y) -1) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1)))) |
| 1.0ms | y | @ | -inf | (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 1 y) -1) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1)))) |
| 1.0ms | x | @ | inf | (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 1 y) -1) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1)))) |
| 1× | batch-egg-rewrite |
| 833× | log-prod_binary64 |
| 468× | fma-neg_binary64 |
| 290× | log1p-udef_binary64 |
| 289× | expm1-udef_binary64 |
| 248× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 70 |
| 1 | 330 | 66 |
| 2 | 5243 | 66 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 1 y) -1) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1)))) |
(*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1)) |
(-.f64 (/.f64 x y) x) |
(+.f64 (+.f64 (/.f64 1 y) -1) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x (fma.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1) (+.f64 (/.f64 1 y) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1))) (*.f64 (*.f64 (*.f64 x x) (+.f64 x -1)) (-.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 x -1)) (-.f64 (/.f64 x y) x)) (*.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 y) (*.f64 x x)) (*.f64 (+.f64 -1 (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1))) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 x -1)) (-.f64 (/.f64 x y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (/.f64 1 y)) (*.f64 (*.f64 x x) (+.f64 -1 (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 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#<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1) (+.f64 (/.f64 1 y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1) (+.f64 (/.f64 1 y) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1) (+.f64 (/.f64 1 y) -1)))))))) |
| 1× | egg-herbie |
| 324× | fma-def_binary64 |
| 316× | distribute-rgt-in_binary64 |
| 313× | div-sub_binary64 |
| 284× | associate-+l+_binary64 |
| 268× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 2049 |
| 1 | 196 | 1891 |
| 2 | 601 | 1384 |
| 3 | 2356 | 1225 |
| 4 | 7095 | 1225 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)))) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)))) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 4))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 4))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 4))) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 4))) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 (-.f64 x 1) x)) (pow.f64 x 2)) y) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (-.f64 x 1) x)) (pow.f64 x 2)) y) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (-.f64 x 1) x)) (pow.f64 x 2)) y) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (-.f64 x 1) x)) (pow.f64 x 2)) y) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1))) |
(*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1)) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (-.f64 x 1) x)) (pow.f64 x 2)) y) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (-.f64 x 1) x)) (pow.f64 x 2)) y) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (-.f64 x 1) x)) (pow.f64 x 2)) y) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1))) |
(*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1)) y)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1)) y)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1)) y)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1))) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(/.f64 (*.f64 (-.f64 x 1) x) y) |
(+.f64 (/.f64 (*.f64 (-.f64 x 1) x) y) (*.f64 -1 (*.f64 (-.f64 x 1) x))) |
(+.f64 (/.f64 (*.f64 (-.f64 x 1) x) y) (*.f64 -1 (*.f64 (-.f64 x 1) x))) |
(+.f64 (/.f64 (*.f64 (-.f64 x 1) x) y) (*.f64 -1 (*.f64 (-.f64 x 1) x))) |
(*.f64 -1 (*.f64 (-.f64 x 1) x)) |
(+.f64 (/.f64 (*.f64 (-.f64 x 1) x) y) (*.f64 -1 (*.f64 (-.f64 x 1) x))) |
(+.f64 (/.f64 (*.f64 (-.f64 x 1) x) y) (*.f64 -1 (*.f64 (-.f64 x 1) x))) |
(+.f64 (/.f64 (*.f64 (-.f64 x 1) x) y) (*.f64 -1 (*.f64 (-.f64 x 1) x))) |
(*.f64 -1 (*.f64 (-.f64 x 1) x)) |
(+.f64 (/.f64 (*.f64 (-.f64 x 1) x) y) (*.f64 -1 (*.f64 (-.f64 x 1) x))) |
(+.f64 (/.f64 (*.f64 (-.f64 x 1) x) y) (*.f64 -1 (*.f64 (-.f64 x 1) x))) |
(+.f64 (/.f64 (*.f64 (-.f64 x 1) x) y) (*.f64 -1 (*.f64 (-.f64 x 1) x))) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 -1 x) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 -1 x) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(/.f64 (+.f64 1 (*.f64 (-.f64 x 1) x)) y) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x 1) x) y) (+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 x 1) x)))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x 1) x) y) (+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 x 1) x)))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x 1) x) y) (+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 x 1) x)))) 1) |
(-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x 1) x) y) (+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 x 1) x)))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x 1) x) y) (+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 x 1) x)))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x 1) x) y) (+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 x 1) x)))) 1) |
(-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1) y))) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1) y))) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1) y))) 1) |
(-.f64 (/.f64 1 y) 1) |
(-.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))) 1) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)))) 1) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)))) 1) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)))) 1) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)))) 1) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) x))) 1) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) x))) 1) |
| Outputs |
|---|
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) |
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 3)) (*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) (*.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)))) |
(*.f64 (-.f64 (/.f64 x y) x) (-.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 (+.f64 x -1) (-.f64 x (/.f64 x y)))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)))) |
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 3)) (*.f64 (+.f64 (/.f64 1 y) -1) (+.f64 (pow.f64 x 4) (*.f64 x x)))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (+.f64 (*.f64 x x) (pow.f64 x 4)) (*.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))) |
(*.f64 (*.f64 x (-.f64 (/.f64 x y) x)) (-.f64 (fma.f64 x x 1) x)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)))) |
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 3)) (*.f64 (+.f64 (/.f64 1 y) -1) (+.f64 (pow.f64 x 4) (*.f64 x x)))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (+.f64 (*.f64 x x) (pow.f64 x 4)) (*.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))) |
(*.f64 (*.f64 x (-.f64 (/.f64 x y) x)) (-.f64 (fma.f64 x x 1) x)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) |
(*.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4))) |
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 3)) (*.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (*.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)))) |
(*.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1))) |
(*.f64 (*.f64 x x) (*.f64 (-.f64 x (/.f64 x y)) (-.f64 1 x))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)))) |
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 3)) (*.f64 (+.f64 (/.f64 1 y) -1) (+.f64 (pow.f64 x 4) (*.f64 x x)))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (+.f64 (*.f64 x x) (pow.f64 x 4)) (*.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))) |
(*.f64 (*.f64 x (-.f64 (/.f64 x y) x)) (-.f64 (fma.f64 x x 1) x)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)))) |
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 3)) (*.f64 (+.f64 (/.f64 1 y) -1) (+.f64 (pow.f64 x 4) (*.f64 x x)))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (+.f64 (*.f64 x x) (pow.f64 x 4)) (*.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))) |
(*.f64 (*.f64 x (-.f64 (/.f64 x y) x)) (-.f64 (fma.f64 x x 1) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 4))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 4))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3))) |
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(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 y) -1) x) (*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) (*.f64 x (+.f64 1 (/.f64 -1 y)))) |
(*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1)) |
(*.f64 (-.f64 x (/.f64 x y)) (-.f64 1 x)) |
(+.f64 (/.f64 (*.f64 (-.f64 x 1) x) y) (*.f64 -1 (*.f64 (-.f64 x 1) x))) |
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 y) -1) x) (*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) (*.f64 x (+.f64 1 (/.f64 -1 y)))) |
(*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1)) |
(*.f64 (-.f64 x (/.f64 x y)) (-.f64 1 x)) |
(+.f64 (/.f64 (*.f64 (-.f64 x 1) x) y) (*.f64 -1 (*.f64 (-.f64 x 1) x))) |
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 y) -1) x) (*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) (*.f64 x (+.f64 1 (/.f64 -1 y)))) |
(*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1)) |
(*.f64 (-.f64 x (/.f64 x y)) (-.f64 1 x)) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(/.f64 (+.f64 1 (*.f64 (-.f64 x 1) x)) y) |
(/.f64 (+.f64 1 (*.f64 x (+.f64 x -1))) y) |
(/.f64 (fma.f64 x (+.f64 x -1) 1) y) |
(/.f64 (-.f64 (fma.f64 x x 1) x) y) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x 1) x) y) (+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 x 1) x)))) 1) |
(+.f64 (/.f64 (+.f64 x -1) (/.f64 y x)) (-.f64 (+.f64 (/.f64 1 y) (neg.f64 (*.f64 x (+.f64 x -1)))) 1)) |
(+.f64 (*.f64 (/.f64 (+.f64 x -1) y) x) (+.f64 (-.f64 (/.f64 1 y) (*.f64 x (+.f64 x -1))) -1)) |
(fma.f64 (/.f64 (+.f64 x -1) y) x (-.f64 (/.f64 1 y) (fma.f64 x (+.f64 x -1) 1))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 (fma.f64 x x 1) x)) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x 1) x) y) (+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 x 1) x)))) 1) |
(+.f64 (/.f64 (+.f64 x -1) (/.f64 y x)) (-.f64 (+.f64 (/.f64 1 y) (neg.f64 (*.f64 x (+.f64 x -1)))) 1)) |
(+.f64 (*.f64 (/.f64 (+.f64 x -1) y) x) (+.f64 (-.f64 (/.f64 1 y) (*.f64 x (+.f64 x -1))) -1)) |
(fma.f64 (/.f64 (+.f64 x -1) y) x (-.f64 (/.f64 1 y) (fma.f64 x (+.f64 x -1) 1))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 (fma.f64 x x 1) x)) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x 1) x) y) (+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 x 1) x)))) 1) |
(+.f64 (/.f64 (+.f64 x -1) (/.f64 y x)) (-.f64 (+.f64 (/.f64 1 y) (neg.f64 (*.f64 x (+.f64 x -1)))) 1)) |
(+.f64 (*.f64 (/.f64 (+.f64 x -1) y) x) (+.f64 (-.f64 (/.f64 1 y) (*.f64 x (+.f64 x -1))) -1)) |
(fma.f64 (/.f64 (+.f64 x -1) y) x (-.f64 (/.f64 1 y) (fma.f64 x (+.f64 x -1) 1))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 (fma.f64 x x 1) x)) |
(-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1) |
(fma.f64 -1 (*.f64 x (+.f64 x -1)) -1) |
(fma.f64 (+.f64 (neg.f64 x) 1) x -1) |
(fma.f64 x (fma.f64 x -1 1) -1) |
(fma.f64 x (-.f64 1 x) -1) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x 1) x) y) (+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 x 1) x)))) 1) |
(+.f64 (/.f64 (+.f64 x -1) (/.f64 y x)) (-.f64 (+.f64 (/.f64 1 y) (neg.f64 (*.f64 x (+.f64 x -1)))) 1)) |
(+.f64 (*.f64 (/.f64 (+.f64 x -1) y) x) (+.f64 (-.f64 (/.f64 1 y) (*.f64 x (+.f64 x -1))) -1)) |
(fma.f64 (/.f64 (+.f64 x -1) y) x (-.f64 (/.f64 1 y) (fma.f64 x (+.f64 x -1) 1))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 (fma.f64 x x 1) x)) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x 1) x) y) (+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 x 1) x)))) 1) |
(+.f64 (/.f64 (+.f64 x -1) (/.f64 y x)) (-.f64 (+.f64 (/.f64 1 y) (neg.f64 (*.f64 x (+.f64 x -1)))) 1)) |
(+.f64 (*.f64 (/.f64 (+.f64 x -1) y) x) (+.f64 (-.f64 (/.f64 1 y) (*.f64 x (+.f64 x -1))) -1)) |
(fma.f64 (/.f64 (+.f64 x -1) y) x (-.f64 (/.f64 1 y) (fma.f64 x (+.f64 x -1) 1))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 (fma.f64 x x 1) x)) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x 1) x) y) (+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 x 1) x)))) 1) |
(+.f64 (/.f64 (+.f64 x -1) (/.f64 y x)) (-.f64 (+.f64 (/.f64 1 y) (neg.f64 (*.f64 x (+.f64 x -1)))) 1)) |
(+.f64 (*.f64 (/.f64 (+.f64 x -1) y) x) (+.f64 (-.f64 (/.f64 1 y) (*.f64 x (+.f64 x -1))) -1)) |
(fma.f64 (/.f64 (+.f64 x -1) y) x (-.f64 (/.f64 1 y) (fma.f64 x (+.f64 x -1) 1))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 (fma.f64 x x 1) x)) |
(-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1) |
(fma.f64 -1 (*.f64 x (+.f64 x -1)) -1) |
(fma.f64 (+.f64 (neg.f64 x) 1) x -1) |
(fma.f64 x (fma.f64 x -1 1) -1) |
(fma.f64 x (-.f64 1 x) -1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1) y))) 1) |
(+.f64 (/.f64 (+.f64 x -1) (/.f64 y x)) (-.f64 (+.f64 (/.f64 1 y) (neg.f64 (*.f64 x (+.f64 x -1)))) 1)) |
(+.f64 (*.f64 (/.f64 (+.f64 x -1) y) x) (+.f64 (-.f64 (/.f64 1 y) (*.f64 x (+.f64 x -1))) -1)) |
(fma.f64 (/.f64 (+.f64 x -1) y) x (-.f64 (/.f64 1 y) (fma.f64 x (+.f64 x -1) 1))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 (fma.f64 x x 1) x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1) y))) 1) |
(+.f64 (/.f64 (+.f64 x -1) (/.f64 y x)) (-.f64 (+.f64 (/.f64 1 y) (neg.f64 (*.f64 x (+.f64 x -1)))) 1)) |
(+.f64 (*.f64 (/.f64 (+.f64 x -1) y) x) (+.f64 (-.f64 (/.f64 1 y) (*.f64 x (+.f64 x -1))) -1)) |
(fma.f64 (/.f64 (+.f64 x -1) y) x (-.f64 (/.f64 1 y) (fma.f64 x (+.f64 x -1) 1))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 (fma.f64 x x 1) x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1) y))) 1) |
(+.f64 (/.f64 (+.f64 x -1) (/.f64 y x)) (-.f64 (+.f64 (/.f64 1 y) (neg.f64 (*.f64 x (+.f64 x -1)))) 1)) |
(+.f64 (*.f64 (/.f64 (+.f64 x -1) y) x) (+.f64 (-.f64 (/.f64 1 y) (*.f64 x (+.f64 x -1))) -1)) |
(fma.f64 (/.f64 (+.f64 x -1) y) x (-.f64 (/.f64 1 y) (fma.f64 x (+.f64 x -1) 1))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 (fma.f64 x x 1) x)) |
(-.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) -1) |
(-.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))) 1) |
(+.f64 (/.f64 1 y) (-.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x)) 1)) |
(+.f64 (/.f64 1 y) (fma.f64 (+.f64 1 (/.f64 -1 y)) x -1)) |
(*.f64 (fma.f64 x -1 1) (+.f64 (/.f64 1 y) -1)) |
(*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 1 x)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)))) 1) |
(+.f64 (/.f64 (+.f64 x -1) (/.f64 y x)) (-.f64 (+.f64 (/.f64 1 y) (neg.f64 (*.f64 x (+.f64 x -1)))) 1)) |
(+.f64 (*.f64 (/.f64 (+.f64 x -1) y) x) (+.f64 (-.f64 (/.f64 1 y) (*.f64 x (+.f64 x -1))) -1)) |
(fma.f64 (/.f64 (+.f64 x -1) y) x (-.f64 (/.f64 1 y) (fma.f64 x (+.f64 x -1) 1))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 (fma.f64 x x 1) x)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)))) 1) |
(+.f64 (/.f64 (+.f64 x -1) (/.f64 y x)) (-.f64 (+.f64 (/.f64 1 y) (neg.f64 (*.f64 x (+.f64 x -1)))) 1)) |
(+.f64 (*.f64 (/.f64 (+.f64 x -1) y) x) (+.f64 (-.f64 (/.f64 1 y) (*.f64 x (+.f64 x -1))) -1)) |
(fma.f64 (/.f64 (+.f64 x -1) y) x (-.f64 (/.f64 1 y) (fma.f64 x (+.f64 x -1) 1))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 (fma.f64 x x 1) x)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) |
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 y) -1) x) (*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) (*.f64 x (+.f64 1 (/.f64 -1 y)))) |
(*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1)) |
(*.f64 (-.f64 x (/.f64 x y)) (-.f64 1 x)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)))) 1) |
(+.f64 (/.f64 (+.f64 x -1) (/.f64 y x)) (-.f64 (+.f64 (/.f64 1 y) (neg.f64 (*.f64 x (+.f64 x -1)))) 1)) |
(+.f64 (*.f64 (/.f64 (+.f64 x -1) y) x) (+.f64 (-.f64 (/.f64 1 y) (*.f64 x (+.f64 x -1))) -1)) |
(fma.f64 (/.f64 (+.f64 x -1) y) x (-.f64 (/.f64 1 y) (fma.f64 x (+.f64 x -1) 1))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 (fma.f64 x x 1) x)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)))) 1) |
(+.f64 (/.f64 (+.f64 x -1) (/.f64 y x)) (-.f64 (+.f64 (/.f64 1 y) (neg.f64 (*.f64 x (+.f64 x -1)))) 1)) |
(+.f64 (*.f64 (/.f64 (+.f64 x -1) y) x) (+.f64 (-.f64 (/.f64 1 y) (*.f64 x (+.f64 x -1))) -1)) |
(fma.f64 (/.f64 (+.f64 x -1) y) x (-.f64 (/.f64 1 y) (fma.f64 x (+.f64 x -1) 1))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 (fma.f64 x x 1) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 y) -1) x) (*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) (*.f64 x (+.f64 1 (/.f64 -1 y)))) |
(*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1)) |
(*.f64 (-.f64 x (/.f64 x y)) (-.f64 1 x)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) x))) 1) |
(+.f64 (/.f64 (+.f64 x -1) (/.f64 y x)) (-.f64 (+.f64 (/.f64 1 y) (neg.f64 (*.f64 x (+.f64 x -1)))) 1)) |
(+.f64 (*.f64 (/.f64 (+.f64 x -1) y) x) (+.f64 (-.f64 (/.f64 1 y) (*.f64 x (+.f64 x -1))) -1)) |
(fma.f64 (/.f64 (+.f64 x -1) y) x (-.f64 (/.f64 1 y) (fma.f64 x (+.f64 x -1) 1))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 (fma.f64 x x 1) x)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) (*.f64 (-.f64 1 (/.f64 1 y)) x))) 1) |
(+.f64 (/.f64 (+.f64 x -1) (/.f64 y x)) (-.f64 (+.f64 (/.f64 1 y) (neg.f64 (*.f64 x (+.f64 x -1)))) 1)) |
(+.f64 (*.f64 (/.f64 (+.f64 x -1) y) x) (+.f64 (-.f64 (/.f64 1 y) (*.f64 x (+.f64 x -1))) -1)) |
(fma.f64 (/.f64 (+.f64 x -1) y) x (-.f64 (/.f64 1 y) (fma.f64 x (+.f64 x -1) 1))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 (fma.f64 x x 1) x)) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 8.8b | (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) | |
| 0.2b | (pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -1) | |
| 0.1b | (fma.f64 x (/.f64 x y) x) | |
| 0.1b | (fma.f64 x (/.f64 x y) x) | |
| ✓ | 0.2b | (pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -1) |
| ✓ | 8.8b | (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) |
Compiled 40 to 16 computations (60% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | inf | (pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -1) |
| 4.0ms | x | @ | inf | (pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -1) |
| 2.0ms | y | @ | 0 | (pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -1) |
| 1.0ms | y | @ | -inf | (pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -1) |
| 1.0ms | x | @ | inf | (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) |
| 1× | batch-egg-rewrite |
| 511× | log-prod_binary64 |
| 393× | exp-prod_binary64 |
| 308× | pow-prod-down_binary64 |
| 277× | pow2_binary64 |
| 199× | prod-diff_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 31 |
| 1 | 217 | 28 |
| 2 | 2917 | 28 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) |
(pow.f64 (/.f64 (+.f64 x 1) (fma.f64 x (/.f64 x y) x)) -1) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 667× | associate-/l*_binary64 |
| 592× | associate-/r*_binary64 |
| 486× | distribute-rgt-in_binary64 |
| 450× | distribute-lft-in_binary64 |
| 389× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 205 | 2201 |
| 1 | 681 | 2029 |
| 2 | 2796 | 1804 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 x) |
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 y)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (/.f64 1 x))) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (/.f64 1 x)))) (/.f64 1 y)) |
(/.f64 y x) |
(-.f64 (+.f64 (/.f64 y x) (/.f64 y (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 y (pow.f64 y 2))) (pow.f64 x 3))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (pow.f64 y 2))) (pow.f64 x 4)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 y (pow.f64 y 2))) (pow.f64 x 3)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(/.f64 y x) |
(-.f64 (+.f64 (/.f64 y x) (/.f64 y (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 y (pow.f64 y 2))) (pow.f64 x 3))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (pow.f64 y 2))) (pow.f64 x 4)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 y (pow.f64 y 2))) (pow.f64 x 3)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(/.f64 (*.f64 y (+.f64 1 x)) (pow.f64 x 2)) |
(+.f64 (/.f64 (*.f64 (+.f64 1 x) y) (pow.f64 x 2)) (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 x) y) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) x) (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 (/.f64 (*.f64 (+.f64 1 x) y) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) x) (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))))) |
(/.f64 (+.f64 1 x) x) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 x) y)) (/.f64 1 x))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 x) x) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 x) y)) (/.f64 1 x)))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 x) x) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 1 x))))) |
(/.f64 (+.f64 1 x) x) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 x) y)) (/.f64 1 x))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 x) x) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 x) y)) (/.f64 1 x)))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 x) x) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 x) (pow.f64 x 2)) (pow.f64 y 3))) (/.f64 1 x))))) |
x |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x) |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 (-.f64 (/.f64 1 y) 1) (-.f64 1 (/.f64 1 y))))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)) |
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 (-.f64 (/.f64 1 y) 1) (-.f64 1 (/.f64 1 y)))))) (*.f64 (-.f64 (/.f64 1 y) 1) (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)))))) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (*.f64 (-.f64 (/.f64 1 y) 1) (-.f64 1 (/.f64 1 y))))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))) |
(/.f64 x y) |
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 y (pow.f64 y 2)) y)) (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (-.f64 y (pow.f64 y 2))) y)) x)) (+.f64 1 (/.f64 x y))) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 y (pow.f64 y 2)) y)) (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (-.f64 y (pow.f64 y 2))) y)) x)) (+.f64 1 (+.f64 (/.f64 x y) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 y (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 y (pow.f64 y 2)) y)) (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (-.f64 y (pow.f64 y 2))) y))) (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (-.f64 y (pow.f64 y 2))) (pow.f64 x 2))))))) |
(/.f64 x y) |
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 y (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (-.f64 y (pow.f64 y 2))) y)))) x)))) (/.f64 1 y)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 y (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (-.f64 y (pow.f64 y 2))) y)))) x))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 y (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (-.f64 y (pow.f64 y 2))) y)))) (-.f64 y (pow.f64 y 2))) (*.f64 y (pow.f64 x 2)))) (*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (-.f64 y (pow.f64 y 2))) (pow.f64 x 2))))))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (pow.f64 x 4)) (pow.f64 (+.f64 1 x) 2)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) 2) (pow.f64 x 6)) (pow.f64 (+.f64 1 x) 3))) (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (pow.f64 x 3)) (pow.f64 (+.f64 1 x) 2))))) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (pow.f64 x 4)) (pow.f64 (+.f64 1 x) 2)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) 2) (pow.f64 x 5)) (pow.f64 (+.f64 1 x) 3)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) 2) (pow.f64 x 6)) (pow.f64 (+.f64 1 x) 3))) (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (pow.f64 x 3)) (pow.f64 (+.f64 1 x) 2))) (pow.f64 x 2))) (+.f64 1 x)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 4))) (pow.f64 x 4)) (pow.f64 (+.f64 1 x) 2))))))) (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) 2) (pow.f64 x 6)) (pow.f64 (+.f64 1 x) 3))) (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (pow.f64 x 3)) (pow.f64 (+.f64 1 x) 2))))) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (pow.f64 x 4)) (pow.f64 (+.f64 1 x) 2)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))))) |
(/.f64 x (+.f64 1 x)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (/.f64 (pow.f64 x 3) (+.f64 1 x))) (pow.f64 y 2))) (/.f64 x (+.f64 1 x)))) |
(+.f64 (/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (/.f64 (pow.f64 x 3) (+.f64 1 x))) (pow.f64 y 2))) (+.f64 (/.f64 x (+.f64 1 x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (/.f64 (pow.f64 x 3) (+.f64 1 x))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (+.f64 1 x))) (/.f64 (pow.f64 x 4) (+.f64 1 x)))) (pow.f64 y 3)))))) |
(/.f64 x (+.f64 1 x)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (/.f64 (pow.f64 x 3) (+.f64 1 x))) (pow.f64 y 2))) (/.f64 x (+.f64 1 x)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 3) (+.f64 1 x)))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (/.f64 (pow.f64 x 3) (+.f64 1 x))) (pow.f64 y 2))) (+.f64 (/.f64 x (+.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (/.f64 (pow.f64 x 3) (+.f64 1 x))) x) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 3) (+.f64 1 x)))))))) |
| Outputs |
|---|
(/.f64 1 x) |
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 y)) |
(+.f64 1 (-.f64 (/.f64 1 x) (/.f64 1 y))) |
(+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 -1 y)) |
(+.f64 1 (+.f64 (/.f64 1 x) (/.f64 -1 y))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (/.f64 1 x))) (/.f64 1 y)) |
(+.f64 1 (-.f64 (fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (/.f64 1 x)) (/.f64 1 y))) |
(+.f64 (fma.f64 x (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)) (/.f64 1 x)) (+.f64 1 (/.f64 -1 y))) |
(-.f64 (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (/.f64 1 x)))) (/.f64 1 y)) |
(-.f64 (fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) (*.f64 x x) (+.f64 1 (fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (/.f64 1 x)))) (/.f64 1 y)) |
(fma.f64 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 3))) (*.f64 x x) (+.f64 (fma.f64 x (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)) (/.f64 1 x)) (+.f64 1 (/.f64 -1 y)))) |
(+.f64 (+.f64 1 (fma.f64 x (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)) (/.f64 1 x))) (fma.f64 x (+.f64 (/.f64 x (*.f64 y y)) (*.f64 (/.f64 -1 (pow.f64 y 3)) x)) (/.f64 -1 y))) |
(/.f64 y x) |
(-.f64 (+.f64 (/.f64 y x) (/.f64 y (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (/.f64 y x) (-.f64 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 y y) (*.f64 x x)))) |
(+.f64 (/.f64 y x) (/.f64 (-.f64 y (*.f64 y y)) (*.f64 x x))) |
(+.f64 (/.f64 y x) (/.f64 (*.f64 y (-.f64 1 y)) (*.f64 x x))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 y (pow.f64 y 2))) (pow.f64 x 3))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (/.f64 y x) (-.f64 (+.f64 (/.f64 y (*.f64 x x)) (neg.f64 (/.f64 (*.f64 y (-.f64 y (*.f64 y y))) (pow.f64 x 3)))) (/.f64 (*.f64 y y) (*.f64 x x)))) |
(+.f64 (/.f64 y x) (+.f64 (/.f64 (neg.f64 y) (/.f64 (pow.f64 x 3) (-.f64 y (*.f64 y y)))) (/.f64 (-.f64 y (*.f64 y y)) (*.f64 x x)))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 (/.f64 y (pow.f64 x 3)) (*.f64 y (neg.f64 (-.f64 1 y)))) (/.f64 (*.f64 y (-.f64 1 y)) (*.f64 x x)))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (pow.f64 y 2))) (pow.f64 x 4)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 y (pow.f64 y 2))) (pow.f64 x 3)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (/.f64 y x) (-.f64 (+.f64 (/.f64 y (*.f64 x x)) (+.f64 (neg.f64 (/.f64 (*.f64 y (-.f64 y (*.f64 y y))) (pow.f64 x 3))) (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 4) (-.f64 y (*.f64 y y)))))) (/.f64 (*.f64 y y) (*.f64 x x)))) |
(+.f64 (/.f64 y x) (+.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 4)) (-.f64 y (*.f64 y y))) (*.f64 (/.f64 y (pow.f64 x 3)) (-.f64 y (*.f64 y y)))) (/.f64 (-.f64 y (*.f64 y y)) (*.f64 x x)))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 (*.f64 y (-.f64 1 y)) (-.f64 (/.f64 y (/.f64 (pow.f64 x 4) y)) (/.f64 y (pow.f64 x 3)))) (/.f64 (*.f64 y (-.f64 1 y)) (*.f64 x x)))) |
(/.f64 y x) |
(-.f64 (+.f64 (/.f64 y x) (/.f64 y (pow.f64 x 2))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (/.f64 y x) (-.f64 (/.f64 y (*.f64 x x)) (/.f64 (*.f64 y y) (*.f64 x x)))) |
(+.f64 (/.f64 y x) (/.f64 (-.f64 y (*.f64 y y)) (*.f64 x x))) |
(+.f64 (/.f64 y x) (/.f64 (*.f64 y (-.f64 1 y)) (*.f64 x x))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 y (pow.f64 x 2)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 y (pow.f64 y 2))) (pow.f64 x 3))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (/.f64 y x) (-.f64 (+.f64 (/.f64 y (*.f64 x x)) (neg.f64 (/.f64 (*.f64 y (-.f64 y (*.f64 y y))) (pow.f64 x 3)))) (/.f64 (*.f64 y y) (*.f64 x x)))) |
(+.f64 (/.f64 y x) (+.f64 (/.f64 (neg.f64 y) (/.f64 (pow.f64 x 3) (-.f64 y (*.f64 y y)))) (/.f64 (-.f64 y (*.f64 y y)) (*.f64 x x)))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 (/.f64 y (pow.f64 x 3)) (*.f64 y (neg.f64 (-.f64 1 y)))) (/.f64 (*.f64 y (-.f64 1 y)) (*.f64 x x)))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 y (pow.f64 y 2))) (pow.f64 x 4)) (*.f64 -1 (/.f64 (*.f64 y (-.f64 y (pow.f64 y 2))) (pow.f64 x 3)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (/.f64 y x) (-.f64 (+.f64 (/.f64 y (*.f64 x x)) (+.f64 (neg.f64 (/.f64 (*.f64 y (-.f64 y (*.f64 y y))) (pow.f64 x 3))) (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 4) (-.f64 y (*.f64 y y)))))) (/.f64 (*.f64 y y) (*.f64 x x)))) |
(+.f64 (/.f64 y x) (+.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 4)) (-.f64 y (*.f64 y y))) (*.f64 (/.f64 y (pow.f64 x 3)) (-.f64 y (*.f64 y y)))) (/.f64 (-.f64 y (*.f64 y y)) (*.f64 x x)))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 (*.f64 y (-.f64 1 y)) (-.f64 (/.f64 y (/.f64 (pow.f64 x 4) y)) (/.f64 y (pow.f64 x 3)))) (/.f64 (*.f64 y (-.f64 1 y)) (*.f64 x x)))) |
(/.f64 (*.f64 y (+.f64 1 x)) (pow.f64 x 2)) |
(/.f64 (+.f64 1 x) (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 (/.f64 y x) x) (+.f64 1 x)) |
(*.f64 (/.f64 y (*.f64 x x)) (+.f64 1 x)) |
(+.f64 (/.f64 (*.f64 (+.f64 1 x) y) (pow.f64 x 2)) (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (/.f64 (+.f64 1 x) (/.f64 (*.f64 x x) y)) (neg.f64 (*.f64 (*.f64 y y) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))) |
(-.f64 (*.f64 (/.f64 (/.f64 y x) x) (+.f64 1 x)) (*.f64 y (*.f64 y (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))) |
(-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 1 x)) (*.f64 y (+.f64 (/.f64 y (*.f64 x x)) (/.f64 y (pow.f64 x 3))))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 x) y) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) x) (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))))) |
(+.f64 (/.f64 (+.f64 1 x) (/.f64 (*.f64 x x) y)) (+.f64 (neg.f64 (*.f64 (*.f64 y y) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))) (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) x))) |
(+.f64 (*.f64 (/.f64 (/.f64 y x) x) (+.f64 1 x)) (-.f64 (*.f64 (/.f64 (pow.f64 y 3) x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) (*.f64 y (*.f64 y (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))))) |
(+.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 1 x)) (*.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (-.f64 (/.f64 (pow.f64 y 3) x) (*.f64 y y)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 (/.f64 (*.f64 (+.f64 1 x) y) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) x) (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))))) |
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 4))) (pow.f64 y 4)) (+.f64 (/.f64 (+.f64 1 x) (/.f64 (*.f64 x x) y)) (+.f64 (neg.f64 (*.f64 (*.f64 y y) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))) (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) x)))) |
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(+.f64 (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) (fma.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (pow.f64 (+.f64 1 x) 2)) (pow.f64 x 3)) (/.f64 (pow.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) 2) (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 6)))) (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (pow.f64 (+.f64 1 x) 2)) (pow.f64 x 4)))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) (fma.f64 (neg.f64 y) (-.f64 (/.f64 (+.f64 1 (*.f64 (/.f64 1 (*.f64 x x)) (pow.f64 x 3))) (pow.f64 (+.f64 1 x) 2)) (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 (+.f64 1 x) 3)) (pow.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) 2))) (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (pow.f64 (+.f64 1 x) 2)) (pow.f64 x 4)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) 2) (pow.f64 x 5)) (pow.f64 (+.f64 1 x) 3)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) 2) (pow.f64 x 6)) (pow.f64 (+.f64 1 x) 3))) (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (pow.f64 x 3)) (pow.f64 (+.f64 1 x) 2))) (pow.f64 x 2))) (+.f64 1 x)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 4))) (pow.f64 x 4)) (pow.f64 (+.f64 1 x) 2))))))) (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) 2) (pow.f64 x 6)) (pow.f64 (+.f64 1 x) 3))) (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (pow.f64 x 3)) (pow.f64 (+.f64 1 x) 2))))) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (pow.f64 x 4)) (pow.f64 (+.f64 1 x) 2)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))))) |
(fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) 2) (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 5))) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (*.f64 (*.f64 x x) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) 2) (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 6))) (/.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 x 3)))))) (+.f64 1 x)) (neg.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 4))) (/.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 x 4))))))) (fma.f64 -1 (*.f64 y (fma.f64 -1 (/.f64 (pow.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) 2) (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 6))) (/.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 x 3))))) (+.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))) (/.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 (pow.f64 (+.f64 1 x) 2) (pow.f64 x 4)))))) |
(-.f64 (+.f64 (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) (fma.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (pow.f64 (+.f64 1 x) 2)) (pow.f64 x 3)) (/.f64 (pow.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) 2) (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 6)))) (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (pow.f64 (+.f64 1 x) 2)) (pow.f64 x 4)))) (*.f64 (*.f64 y y) (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) 2) (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 5))) (-.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 (/.f64 (+.f64 1 x) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (pow.f64 (+.f64 1 x) 2)) (pow.f64 x 3)) (/.f64 (pow.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) 2) (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 6)))))) (*.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 4))) (pow.f64 (+.f64 1 x) 2)) (pow.f64 x 4)))))) |
(-.f64 (+.f64 (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (pow.f64 (+.f64 1 x) 2)) (pow.f64 x 4))) (*.f64 y (+.f64 (*.f64 (+.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 (+.f64 1 x) 3)) (pow.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) 2)) (/.f64 (+.f64 1 (*.f64 (/.f64 1 (pow.f64 x 5)) (pow.f64 x 4))) (pow.f64 (+.f64 1 x) 2))) (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 (+.f64 1 x) (*.f64 x x))) (-.f64 (/.f64 (+.f64 1 (*.f64 (/.f64 1 (*.f64 x x)) (pow.f64 x 3))) (pow.f64 (+.f64 1 x) 2)) (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 (+.f64 1 x) 3)) (pow.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) 2))))) y) (-.f64 (/.f64 (+.f64 1 (*.f64 (/.f64 1 (*.f64 x x)) (pow.f64 x 3))) (pow.f64 (+.f64 1 x) 2)) (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 (+.f64 1 x) 3)) (pow.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) 2)))))) |
(/.f64 x (+.f64 1 x)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))) (/.f64 x (+.f64 1 x))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) (/.f64 x (+.f64 1 x))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x))) |
(+.f64 (/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (/.f64 (pow.f64 x 3) (+.f64 1 x))) (pow.f64 y 2))) (/.f64 x (+.f64 1 x)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))) (fma.f64 -1 (/.f64 (*.f64 0 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (*.f64 y y)) (/.f64 x (+.f64 1 x)))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) (+.f64 (/.f64 x (+.f64 1 x)) (/.f64 0 (*.f64 y y)))) |
(+.f64 0 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))) |
(+.f64 (/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (/.f64 (pow.f64 x 3) (+.f64 1 x))) (pow.f64 y 2))) (+.f64 (/.f64 x (+.f64 1 x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (/.f64 (pow.f64 x 3) (+.f64 1 x))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (+.f64 1 x))) (/.f64 (pow.f64 x 4) (+.f64 1 x)))) (pow.f64 y 3)))))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))) (fma.f64 -1 (/.f64 (*.f64 0 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (*.f64 y y)) (/.f64 x (+.f64 1 x)))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) (+.f64 (/.f64 x (+.f64 1 x)) (/.f64 0 (*.f64 y y)))) |
(+.f64 0 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))) |
(/.f64 x (+.f64 1 x)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))) (/.f64 x (+.f64 1 x))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) (/.f64 x (+.f64 1 x))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x))) |
(+.f64 (/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (/.f64 (pow.f64 x 3) (+.f64 1 x))) (pow.f64 y 2))) (/.f64 x (+.f64 1 x)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))) (fma.f64 -1 (/.f64 (*.f64 0 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (*.f64 y y)) (/.f64 x (+.f64 1 x)))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) (+.f64 (/.f64 x (+.f64 1 x)) (/.f64 0 (*.f64 y y)))) |
(+.f64 0 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 3) (+.f64 1 x)))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (/.f64 (pow.f64 x 3) (+.f64 1 x))) (pow.f64 y 2))) (+.f64 (/.f64 x (+.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (/.f64 (pow.f64 x 3) (+.f64 1 x))) x) (pow.f64 y 3))) (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 3) (+.f64 1 x)))))))) |
(fma.f64 -1 (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 3) (+.f64 1 x))) (+.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 1 x))) (+.f64 (fma.f64 -1 (/.f64 (*.f64 0 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (*.f64 y y)) (/.f64 x (+.f64 1 x))) (fma.f64 -1 (/.f64 (*.f64 0 (/.f64 (pow.f64 x 3) (+.f64 1 x))) (/.f64 (pow.f64 y 3) x)) (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 3) (+.f64 1 x))))))) |
(-.f64 (+.f64 (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) (+.f64 (/.f64 x (+.f64 1 x)) (+.f64 (/.f64 0 (*.f64 y y)) (+.f64 (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 3) (+.f64 1 x))) (/.f64 x (/.f64 (pow.f64 y 3) 0)))))) (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 3) (+.f64 1 x)))) |
(-.f64 (+.f64 (+.f64 0 (*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))) (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 3) (+.f64 1 x)))) (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 3) (+.f64 1 x)))) |
Compiled 17238 to 9637 computations (44.1% saved)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 760 | 13 | 773 |
| Fresh | 9 | 1 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 1 | 4 |
| Total | 773 | 15 | 788 |
| Status | Error | Program |
|---|---|---|
| 27.9b | (*.f64 (+.f64 (/.f64 x y) 1) x) | |
| ✓ | 42.3b | (/.f64 x y) |
| 52.5b | (*.f64 x (/.f64 x y)) | |
| 32.4b | (pow.f64 (*.f64 (/.f64 y x) (/.f64 (+.f64 x 1) x)) -1) | |
| ▶ | 35.7b | (*.f64 (+.f64 (/.f64 x y) 1) 1) |
| ▶ | 27.6b | (+.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 x -1)) (-.f64 (/.f64 x y) x)) (*.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1))))) |
| ▶ | 0.1b | (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 1 (/.f64 (+.f64 x 1) x))) |
| 41.6b | (/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1)) | |
| 37.5b | x | |
| 27.8b | (+.f64 x (*.f64 x (/.f64 (-.f64 (fma.f64 x x 1) x) (/.f64 y x)))) | |
| 37.9b | (+.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1))) | |
| 42.9b | (+.f64 (/.f64 x y) (/.f64 -1 y)) | |
| ▶ | 30.6b | (/.f64 x (+.f64 x 1)) |
| ▶ | 43.0b | (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
| 28.1b | (+.f64 x (*.f64 x (-.f64 (/.f64 x y) x))) |
Compiled 332 to 215 computations (35.2% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 1 (/.f64 (+.f64 x 1) x)) | |
| 0.1b | (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 1 (/.f64 (+.f64 x 1) x))) | |
| 0.0b | (/.f64 (+.f64 x 1) x) | |
| ✓ | 0.0b | (/.f64 (+.f64 x 1) x) |
| ✓ | 0.1b | (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 1 (/.f64 (+.f64 x 1) x))) |
| ✓ | 0.1b | (/.f64 1 (/.f64 (+.f64 x 1) x)) |
Compiled 41 to 24 computations (41.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 x 1) x) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 x 1) x) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 x 1) x) |
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 (+.f64 x 1) x)) |
| 0.0ms | x | @ | inf | (/.f64 1 (/.f64 (+.f64 x 1) x)) |
| 1× | batch-egg-rewrite |
| 610× | log-prod_binary64 |
| 349× | prod-diff_binary64 |
| 296× | pow2_binary64 |
| 294× | fma-def_binary64 |
| 236× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 33 |
| 1 | 233 | 30 |
| 2 | 3480 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 (+.f64 x 1) x)) |
(*.f64 (+.f64 (/.f64 x y) 1) (/.f64 1 (/.f64 (+.f64 x 1) x))) |
(/.f64 (+.f64 x 1) x) |
| Outputs |
|---|
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x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 -1 x -1)) (neg.f64 x) (*.f64 (/.f64 x (+.f64 1 x)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (+.f64 1 x)) 1) x (*.f64 (/.f64 x y) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (+.f64 1 x)) 1) x (*.f64 (/.f64 x (+.f64 1 x)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (/.f64 x y) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (/.f64 x (+.f64 1 x)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (/.f64 x y) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (/.f64 x (+.f64 1 x)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x (+.f64 1 x)) (+.f64 1 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (/.f64 x y)) (-.f64 (log.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 x y)) (-.f64 (log.f64 x) (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 1 x)) (+.f64 1 (/.f64 x y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) (sqrt.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 x -1) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (+.f64 1 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) x))))))) |
| 1× | egg-herbie |
| 627× | unsub-neg_binary64 |
| 486× | +-commutative_binary64 |
| 387× | associate--r+_binary64 |
| 376× | associate-*l*_binary64 |
| 337× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 706 |
| 1 | 196 | 702 |
| 2 | 574 | 624 |
| 3 | 2440 | 586 |
| 4 | 7220 | 586 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
x |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x) |
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)) |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))) |
(/.f64 x y) |
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x)))) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1))))) (/.f64 1 x)) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(/.f64 x (+.f64 1 x)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(/.f64 x (+.f64 1 x)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(/.f64 1 x) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(fma.f64 -1 (*.f64 x x) x) |
(-.f64 x (*.f64 x x)) |
(fma.f64 x (neg.f64 x) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) |
(fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3))) |
(+.f64 x (*.f64 (*.f64 x x) (+.f64 -1 x))) |
(fma.f64 (*.f64 x x) (+.f64 x -1) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x))) |
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (+.f64 x (pow.f64 x 3)))) |
(-.f64 (-.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)) (*.f64 x x)) |
(-.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4))) |
(*.f64 (fma.f64 x x 1) (-.f64 x (*.f64 x x))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x))) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x))) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
x |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x) |
(fma.f64 (*.f64 x x) (+.f64 -1 (/.f64 1 y)) x) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)) |
(fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)) |
(fma.f64 (pow.f64 x 3) (-.f64 1 (/.f64 1 y)) (fma.f64 (*.f64 x x) (+.f64 -1 (/.f64 1 y)) x)) |
(fma.f64 x (*.f64 x (+.f64 -1 (/.f64 1 y))) (fma.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)) x)) |
(+.f64 x (*.f64 x (*.f64 (+.f64 -1 (/.f64 1 y)) (-.f64 x (*.f64 x x))))) |
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (-.f64 1 x) (+.f64 -1 (/.f64 1 y))))) |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))) |
(fma.f64 (pow.f64 x 4) (+.f64 -1 (/.f64 1 y)) (fma.f64 (pow.f64 x 3) (-.f64 1 (/.f64 1 y)) (fma.f64 (*.f64 x x) (+.f64 -1 (/.f64 1 y)) x))) |
(fma.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)) (fma.f64 (pow.f64 x 4) (+.f64 -1 (/.f64 1 y)) (fma.f64 (*.f64 x x) (+.f64 -1 (/.f64 1 y)) x))) |
(+.f64 x (*.f64 (*.f64 x x) (+.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x -1))))) |
(/.f64 x y) |
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) |
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 x y) (-.f64 1 (/.f64 1 y))) |
(+.f64 (/.f64 x y) (+.f64 1 (/.f64 -1 y))) |
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 x) (/.f64 1 y)))) |
(+.f64 (+.f64 (/.f64 x y) (-.f64 1 (/.f64 1 y))) (-.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 x))) |
(+.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 x y) (/.f64 (+.f64 -1 (/.f64 1 y)) x))) |
(+.f64 1 (+.f64 (/.f64 x y) (-.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) x) (/.f64 1 y)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x)))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 (*.f64 x x) y)))))) |
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x y))) (-.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 x y)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 y) (/.f64 (/.f64 (/.f64 1 x) x) y))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 1 x) y)) (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 y))))) |
(+.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) (*.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (+.f64 -1 (/.f64 1 y)) x))) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1))) |
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 x y) (-.f64 1 (/.f64 1 y))) |
(+.f64 (/.f64 x y) (+.f64 1 (/.f64 -1 y))) |
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 x) (/.f64 1 y)))) |
(+.f64 (+.f64 (/.f64 x y) (-.f64 1 (/.f64 1 y))) (-.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 x))) |
(+.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 x y) (/.f64 (+.f64 -1 (/.f64 1 y)) x))) |
(+.f64 1 (+.f64 (/.f64 x y) (-.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) x) (/.f64 1 y)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1))))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 (*.f64 x x) y)))))) |
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x y))) (-.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 x y)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 y) (/.f64 (/.f64 (/.f64 1 x) x) y))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 (/.f64 1 x) y)) (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 y))))) |
(+.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) (*.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (+.f64 -1 (/.f64 1 y)) x))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))) |
(*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1)) |
(/.f64 x (+.f64 1 x)) |
(/.f64 x (+.f64 x 1)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1)) |
(/.f64 x (+.f64 1 x)) |
(/.f64 x (+.f64 x 1)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1)) |
(/.f64 1 x) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 x (+.f64 x 1)) | |
| ✓ | 0.0b | (/.f64 x (+.f64 x 1)) |
Compiled 12 to 8 computations (33.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 x (+.f64 x 1)) |
| 0.0ms | x | @ | inf | (/.f64 x (+.f64 x 1)) |
| 0.0ms | x | @ | -inf | (/.f64 x (+.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 599× | pow1_binary64 |
| 561× | log1p-expm1-u_binary64 |
| 561× | expm1-log1p-u_binary64 |
| 560× | add-log-exp_binary64 |
| 549× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 109 | 7 |
| 2 | 1505 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 x 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 (neg.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))))))) |
| 1× | egg-herbie |
| 476× | distribute-rgt-out--_binary64 |
| 437× | sub-neg_binary64 |
| 377× | fma-def_binary64 |
| 263× | distribute-neg-frac_binary64 |
| 238× | unsub-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 142 |
| 1 | 71 | 138 |
| 2 | 180 | 134 |
| 3 | 550 | 131 |
| 4 | 2314 | 130 |
| 5 | 6187 | 130 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(fma.f64 -1 (*.f64 x x) x) |
(-.f64 x (*.f64 x x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) |
(fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3))) |
(+.f64 (pow.f64 x 3) (-.f64 x (*.f64 x x))) |
(*.f64 x (-.f64 (fma.f64 x x 1) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x))) |
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (+.f64 x (pow.f64 x 3)))) |
(-.f64 (-.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)) (*.f64 x x)) |
(-.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4))) |
(*.f64 (fma.f64 x x 1) (-.f64 x (*.f64 x x))) |
(*.f64 (-.f64 1 x) (+.f64 x (pow.f64 x 3))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x))) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (/.f64 -1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 1 x) x)))) |
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (-.f64 1 (/.f64 1 x)) (/.f64 -1 (pow.f64 x 3)))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x))) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (/.f64 -1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 1 x) x)))) |
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (-.f64 1 (/.f64 1 x)) (/.f64 -1 (pow.f64 x 3)))) |
Compiled 20 to 10 computations (50% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 16.6b | (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) | |
| 0.0b | (+.f64 y (*.f64 x y)) | |
| ✓ | 0.0b | (+.f64 y (*.f64 x y)) |
| ✓ | 16.6b | (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
Compiled 24 to 6 computations (75% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
| 1× | batch-egg-rewrite |
| 966× | pow1_binary64 |
| 904× | add-log-exp_binary64 |
| 903× | log1p-expm1-u_binary64 |
| 903× | expm1-log1p-u_binary64 |
| 85× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 159 | 16 |
| 2 | 2441 | 16 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
(+.f64 y (*.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 (fma.f64 x y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (/.f64 1 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x (fma.f64 x y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x)) 2) (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) (/.f64 x (sqrt.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x y y)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x y y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x y y)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x y y)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (fma.f64 x y y)) 2)) (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x y y))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (fma.f64 x y y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x 1)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (*.f64 x x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 x 1)) (/.f64 (pow.f64 (cbrt.f64 x) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x y) 3))) (fma.f64 y y (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y y) (pow.f64 (*.f64 x y) 2))) (-.f64 y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (fma.f64 x y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x y y) (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x y y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (fma.f64 x y y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x (fma.f64 x y y)) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 x y))) (/.f64 (pow.f64 (*.f64 x y) 2) (-.f64 y (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x y y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x y y)) (pow.f64 (cbrt.f64 (fma.f64 x y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x y y)) 2) (cbrt.f64 (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x y y)) (sqrt.f64 (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (-.f64 y (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) y))) (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 y (*.f64 x y)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 y y (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (*.f64 y y) (*.f64 y (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 x y) 2)) (-.f64 y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 x y) 2))) (neg.f64 (-.f64 y (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 y y)) (-.f64 (*.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x y y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x y y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x y y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x y y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x y y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x y y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x y y))))))) |
| 1× | egg-herbie |
| 592× | times-frac_binary64 |
| 554× | div-sub_binary64 |
| 445× | distribute-rgt-neg-in_binary64 |
| 394× | associate-/l*_binary64 |
| 318× | distribute-neg-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 526 |
| 1 | 126 | 456 |
| 2 | 312 | 456 |
| 3 | 999 | 443 |
| 4 | 5056 | 443 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 x 2) y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 2) y)))) |
(/.f64 x y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2))))) |
(/.f64 x y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2))))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 (-.f64 (*.f64 -1 x) 1) y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 (-.f64 (*.f64 -1 x) 1) y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 (-.f64 (*.f64 -1 x) 1) y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 (-.f64 (*.f64 -1 x) 1) y))) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)) |
y |
(+.f64 (*.f64 y x) y) |
(+.f64 (*.f64 y x) y) |
(+.f64 (*.f64 y x) y) |
(*.f64 y x) |
(+.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 y x)) |
(*.f64 y x) |
(+.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 y x)) |
| Outputs |
|---|
(/.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 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y)) |
(-.f64 (/.f64 x (/.f64 y x)) (/.f64 (pow.f64 x 3) y)) |
(-.f64 (*.f64 (/.f64 x y) x) (/.f64 (pow.f64 x 3) y)) |
(*.f64 (/.f64 x y) (-.f64 x (*.f64 x x))) |
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (pow.f64 x 2) y))) |
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 x 3) y) (/.f64 (*.f64 x x) y)) (/.f64 (pow.f64 x 4) y)) |
(+.f64 (/.f64 x (/.f64 y x)) (-.f64 (/.f64 (pow.f64 x 4) y) (/.f64 (pow.f64 x 3) y))) |
(+.f64 (*.f64 (/.f64 x y) x) (-.f64 (/.f64 (pow.f64 x 4) y) (/.f64 (pow.f64 x 3) y))) |
(fma.f64 x (/.f64 x y) (*.f64 (/.f64 (pow.f64 x 3) y) (+.f64 -1 x))) |
(+.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (/.f64 (pow.f64 x 4) y) (fma.f64 -1 (/.f64 (pow.f64 x 3) y) (fma.f64 -1 (/.f64 (pow.f64 x 5) y) (/.f64 (*.f64 x x) y)))) |
(+.f64 (/.f64 (pow.f64 x 4) y) (-.f64 (-.f64 (/.f64 x (/.f64 y x)) (/.f64 (pow.f64 x 5) y)) (/.f64 (pow.f64 x 3) y))) |
(+.f64 (*.f64 (/.f64 x y) x) (-.f64 (/.f64 (pow.f64 x 4) y) (+.f64 (/.f64 (pow.f64 x 3) y) (/.f64 (pow.f64 x 5) y)))) |
(fma.f64 x (/.f64 x y) (-.f64 (*.f64 (/.f64 (pow.f64 x 3) y) (+.f64 -1 x)) (/.f64 (pow.f64 x 5) y))) |
(/.f64 x y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(+.f64 (/.f64 x y) (/.f64 -1 y)) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y)) |
(+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 x y) (-.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 y))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 -1 y))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 (*.f64 x x) y)))) |
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (/.f64 1 (*.f64 x (*.f64 x y)))) (/.f64 1 y)) |
(+.f64 (/.f64 x y) (+.f64 (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 -1 y)) (/.f64 -1 (*.f64 x (*.f64 x y))))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 x (*.f64 x y)))))) |
(/.f64 x y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(+.f64 (/.f64 x y) (/.f64 -1 y)) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (/.f64 1 y)) |
(+.f64 (/.f64 1 (*.f64 x y)) (-.f64 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 x y) (-.f64 (/.f64 1 (*.f64 x y)) (/.f64 1 y))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 -1 y))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 (*.f64 x x) y)))) |
(-.f64 (-.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (/.f64 1 (*.f64 x (*.f64 x y)))) (/.f64 1 y)) |
(+.f64 (/.f64 x y) (+.f64 (+.f64 (/.f64 1 (*.f64 x y)) (/.f64 -1 y)) (/.f64 -1 (*.f64 x (*.f64 x y))))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 x (*.f64 x y)))))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 (-.f64 (*.f64 -1 x) 1) y))) |
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 (-.f64 (*.f64 -1 x) 1) y))) |
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 (-.f64 (*.f64 -1 x) 1) y))) |
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 (-.f64 (*.f64 -1 x) 1) y))) |
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(*.f64 (+.f64 1 x) y) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 x y y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 x y y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 x y y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 x y y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 x y y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 x y y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 x y y) |
(*.f64 (+.f64 1 x) y) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 x y y) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 x y y) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 x y y) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 x y y) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 x) 1) y)) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 x y y) |
y |
(+.f64 (*.f64 y x) y) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 x y y) |
(+.f64 (*.f64 y x) y) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 x y y) |
(+.f64 (*.f64 y x) y) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 x y y) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 y (*.f64 y x)) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 x y y) |
(+.f64 y (*.f64 y x)) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 x y y) |
(+.f64 y (*.f64 y x)) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 x y y) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 y (*.f64 y x)) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 x y y) |
(+.f64 y (*.f64 y x)) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 x y y) |
(+.f64 y (*.f64 y x)) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 x y y) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 x -1)) (-.f64 (/.f64 x y) x)) (*.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)))) | |
| 0.0b | (-.f64 (/.f64 x y) x) | |
| 0.0b | (+.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 x -1)) (-.f64 (/.f64 x y) x)) (*.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1))))) | |
| 0.0b | (+.f64 (/.f64 1 y) -1) | |
| ✓ | 0.1b | (*.f64 (*.f64 x x) (+.f64 x -1)) |
| ✓ | 0.1b | (*.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1))) |
| ✓ | 0.1b | (*.f64 x (+.f64 (/.f64 1 y) -1)) |
| ✓ | 0.4b | (*.f64 (*.f64 (*.f64 x x) (+.f64 x -1)) (-.f64 (/.f64 x y) x)) |
Compiled 112 to 56 computations (50% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 x (+.f64 (/.f64 1 y) -1)) |
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 (*.f64 x x) (+.f64 x -1)) (-.f64 (/.f64 x y) x)) |
| 1.0ms | y | @ | 0 | (*.f64 (*.f64 (*.f64 x x) (+.f64 x -1)) (-.f64 (/.f64 x y) x)) |
| 1.0ms | x | @ | -inf | (*.f64 (*.f64 (*.f64 x x) (+.f64 x -1)) (-.f64 (/.f64 x y) x)) |
| 1.0ms | y | @ | inf | (*.f64 (*.f64 (*.f64 x x) (+.f64 x -1)) (-.f64 (/.f64 x y) x)) |
| 1× | batch-egg-rewrite |
| 836× | log-prod_binary64 |
| 631× | fma-def_binary64 |
| 330× | fma-neg_binary64 |
| 274× | log1p-udef_binary64 |
| 273× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 52 |
| 1 | 338 | 46 |
| 2 | 5025 | 46 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 x x) (+.f64 x -1)) (-.f64 (/.f64 x y) x)) |
(*.f64 x (+.f64 (/.f64 1 y) -1)) |
(*.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1))) |
(*.f64 (*.f64 x x) (+.f64 x -1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (-.f64 (/.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) (*.f64 x (fma.f64 x x (neg.f64 x)))) (*.f64 (neg.f64 x) (*.f64 x (fma.f64 x x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) (-.f64 (/.f64 x y) x)) (*.f64 (*.f64 x (neg.f64 x)) (-.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 x x (neg.f64 x))) (/.f64 x y)) (*.f64 (*.f64 x (fma.f64 x x (neg.f64 x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (/.f64 x y) x) (pow.f64 x 3)) (*.f64 (-.f64 (/.f64 x y) x) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (+.f64 x -1)) (-.f64 (/.f64 x y) x))) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (+.f64 x -1)) (-.f64 (/.f64 x y) x))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (+.f64 x -1)) (-.f64 (/.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (+.f64 x -1)) (-.f64 (/.f64 x y) x)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (+.f64 x -1)) (-.f64 (/.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (-.f64 (/.f64 x y) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 x 3)) (*.f64 x (fma.f64 x x (neg.f64 x)))) (fma.f64 x (+.f64 x (/.f64 x y)) (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (*.f64 x x)) (*.f64 x (fma.f64 x x (neg.f64 x)))) (+.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (fma.f64 x x (neg.f64 x))) (-.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (/.f64 x y)) (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (fma.f64 x x (neg.f64 x))) (-.f64 (pow.f64 (/.f64 x y) 2) (*.f64 x x))) (+.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (-.f64 (/.f64 x y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (-.f64 (/.f64 x y) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (-.f64 (/.f64 x y) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (*.f64 (+.f64 x -1) (-.f64 (/.f64 x y) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (-.f64 (/.f64 x y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (+.f64 x -1)) (-.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (-.f64 (/.f64 x y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (-.f64 (/.f64 x y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (fma.f64 x x (neg.f64 x))) 3) (pow.f64 (-.f64 (/.f64 x y) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 x y) x) 3) (pow.f64 (*.f64 x (fma.f64 x x (neg.f64 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (fma.f64 x x (neg.f64 x))) (/.f64 x y) (*.f64 (*.f64 x (fma.f64 x x (neg.f64 x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) (*.f64 x (fma.f64 x x (neg.f64 x))) (*.f64 (neg.f64 x) (*.f64 x (fma.f64 x x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 x y) x) (pow.f64 x 3) (*.f64 (-.f64 (/.f64 x y) x) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) (-.f64 (/.f64 x y) x) (*.f64 (*.f64 x (neg.f64 x)) (-.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (-.f64 (/.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (-.f64 (/.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (-.f64 (/.f64 x y) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (-.f64 (/.f64 x y) x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x y) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x y) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x y) x) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 x y) x))) (cbrt.f64 (exp.f64 (-.f64 (/.f64 x y) x))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 x y) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 x y) x)))))))) 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x x) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (neg.f64 x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) x (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -1 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x 3) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (neg.f64 x)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) x) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) x (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 1 (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x)))) (cbrt.f64 (*.f64 x (neg.f64 x))) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x))) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 (pow.f64 x 3)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) x) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x x (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x x (neg.f64 x))))))))) |
| 1× | egg-herbie |
| 532× | fma-def_binary64 |
| 514× | distribute-rgt-out--_binary64 |
| 426× | distribute-rgt-out_binary64 |
| 358× | associate-/l*_binary64 |
| 313× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 1207 |
| 1 | 93 | 1160 |
| 2 | 286 | 1032 |
| 3 | 1106 | 904 |
| 4 | 4102 | 904 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3))) |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3)))) |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3)))) |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3)))) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4))) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 4))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 4))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 4))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 4))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3))) |
(/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 3)) y) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 x 1) (pow.f64 x 3))) (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 3)) y)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 x 1) (pow.f64 x 3))) (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 3)) y)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 x 1) (pow.f64 x 3))) (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 3)) y)) |
(*.f64 -1 (*.f64 (-.f64 x 1) (pow.f64 x 3))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 x 1) (pow.f64 x 3))) (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 3)) y)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 x 1) (pow.f64 x 3))) (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 3)) y)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 x 1) (pow.f64 x 3))) (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 3)) y)) |
(*.f64 -1 (*.f64 (-.f64 x 1) (pow.f64 x 3))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 x 1) (pow.f64 x 3))) (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 3)) y)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 x 1) (pow.f64 x 3))) (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 3)) y)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 x 1) (pow.f64 x 3))) (/.f64 (*.f64 (-.f64 x 1) (pow.f64 x 3)) y)) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 -1 x) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 -1 x) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)) |
(pow.f64 x 3) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)) |
| Outputs |
|---|
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3))) |
(neg.f64 (*.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 3))) |
(*.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y))) |
(-.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 3) y)) |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3)))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (neg.f64 (*.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 3)))) |
(fma.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 x 4) (*.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)))) |
(*.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 (pow.f64 x 3) (+.f64 -1 x))) |
(*.f64 (-.f64 (/.f64 (pow.f64 x 3) y) (pow.f64 x 3)) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 (/.f64 1 y)) (-.f64 (pow.f64 x 4) (pow.f64 x 3))) |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3)))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (neg.f64 (*.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 3)))) |
(fma.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 x 4) (*.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)))) |
(*.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 (pow.f64 x 3) (+.f64 -1 x))) |
(*.f64 (-.f64 (/.f64 (pow.f64 x 3) y) (pow.f64 x 3)) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 (/.f64 1 y)) (-.f64 (pow.f64 x 4) (pow.f64 x 3))) |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3)))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (neg.f64 (*.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 3)))) |
(fma.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 x 4) (*.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)))) |
(*.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 (pow.f64 x 3) (+.f64 -1 x))) |
(*.f64 (-.f64 (/.f64 (pow.f64 x 3) y) (pow.f64 x 3)) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 (/.f64 1 y)) (-.f64 (pow.f64 x 4) (pow.f64 x 3))) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) |
(*.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4)) |
(*.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 x 4)) |
(-.f64 (/.f64 (pow.f64 x 4) y) (pow.f64 x 4)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (neg.f64 (*.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 3)))) |
(fma.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 x 4) (*.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)))) |
(*.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 (pow.f64 x 3) (+.f64 -1 x))) |
(*.f64 (-.f64 (/.f64 (pow.f64 x 3) y) (pow.f64 x 3)) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 (/.f64 1 y)) (-.f64 (pow.f64 x 4) (pow.f64 x 3))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (neg.f64 (*.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 3)))) |
(fma.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 x 4) (*.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)))) |
(*.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 (pow.f64 x 3) (+.f64 -1 x))) |
(*.f64 (-.f64 (/.f64 (pow.f64 x 3) y) (pow.f64 x 3)) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 (/.f64 1 y)) (-.f64 (pow.f64 x 4) (pow.f64 x 3))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 3))) (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (neg.f64 (*.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 3)))) |
(fma.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 x 4) (*.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)))) |
(*.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 (pow.f64 x 3) (+.f64 -1 x))) |
(*.f64 (-.f64 (/.f64 (pow.f64 x 3) y) (pow.f64 x 3)) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 (/.f64 1 y)) (-.f64 (pow.f64 x 4) (pow.f64 x 3))) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 4))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4)) |
(*.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 x 4)) |
(-.f64 (/.f64 (pow.f64 x 4) y) (pow.f64 x 4)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 4))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (neg.f64 (*.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 3)))) |
(fma.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 x 4) (*.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)))) |
(*.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 (pow.f64 x 3) (+.f64 -1 x))) |
(*.f64 (-.f64 (/.f64 (pow.f64 x 3) y) (pow.f64 x 3)) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 (/.f64 1 y)) (-.f64 (pow.f64 x 4) (pow.f64 x 3))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 4))) (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (neg.f64 (*.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 3)))) |
(fma.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 x 4) (*.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)))) |
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(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(*.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)) |
(fma.f64 -1 (*.f64 x x) (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) (*.f64 x x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)) |
(fma.f64 -1 (*.f64 x x) (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) (*.f64 x x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)) |
(fma.f64 -1 (*.f64 x x) (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) (*.f64 x x)) |
(pow.f64 x 3) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)) |
(fma.f64 -1 (*.f64 x x) (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) (*.f64 x x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)) |
(fma.f64 -1 (*.f64 x x) (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) (*.f64 x x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)) |
(fma.f64 -1 (*.f64 x x) (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) (*.f64 x x)) |
(pow.f64 x 3) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)) |
(fma.f64 -1 (*.f64 x x) (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) (*.f64 x x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)) |
(fma.f64 -1 (*.f64 x x) (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) (*.f64 x x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)) |
(fma.f64 -1 (*.f64 x x) (pow.f64 x 3)) |
(-.f64 (pow.f64 x 3) (*.f64 x x)) |
Compiled 16176 to 7627 computations (52.8% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 702 | 6 | 708 |
| Fresh | 4 | 5 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 707 | 16 | 723 |
| Status | Error | Program |
|---|---|---|
| ✓ | 42.3b | (/.f64 x y) |
| 55.3b | 1 | |
| 54.9b | (/.f64 (*.f64 x x) y) | |
| 37.9b | (+.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1))) | |
| ▶ | 9.4b | (/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1)) |
| 42.9b | (+.f64 (/.f64 x y) (/.f64 -1 y)) | |
| ▶ | 52.5b | (*.f64 x (/.f64 x y)) |
| ▶ | 27.9b | (*.f64 (+.f64 (/.f64 x y) 1) x) |
| ✓ | 35.7b | (*.f64 (+.f64 (/.f64 x y) 1) 1) |
| ✓ | 27.6b | (+.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 x -1)) (-.f64 (/.f64 x y) x)) (*.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1))))) |
| ✓ | 30.6b | (/.f64 x (+.f64 x 1)) |
| ▶ | 0.1b | (/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 1 x) x)) |
| 41.6b | (/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1)) | |
| 37.5b | x | |
| ✓ | 43.0b | (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
| ▶ | 28.1b | (+.f64 x (*.f64 x (-.f64 (/.f64 x y) x))) |
Compiled 259 to 167 computations (35.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 1 x) x)) | |
| 0.0b | (/.f64 (+.f64 1 x) x) | |
| ✓ | 0.0b | (/.f64 (+.f64 1 x) x) |
| ✓ | 0.1b | (/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 1 x) x)) |
Compiled 32 to 17 computations (46.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 1 x) x)) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 1 x) x)) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 1 x) x)) |
| 0.0ms | y | @ | inf | (/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 1 x) x)) |
| 0.0ms | y | @ | -inf | (/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 1 x) x)) |
| 1× | batch-egg-rewrite |
| 576× | log-prod_binary64 |
| 424× | prod-diff_binary64 |
| 301× | fma-def_binary64 |
| 281× | pow2_binary64 |
| 243× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 208 | 23 |
| 2 | 3245 | 23 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 1 x) x)) |
(/.f64 (+.f64 1 x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 x y))) (/.f64 x (+.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 x y))) (/.f64 x (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 x y))) (/.f64 x (+.f64 1 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 x y))) (/.f64 x (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)))) 2) (cbrt.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)))) (sqrt.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (/.f64 x y))) (*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (/.f64 x y)) -1) (/.f64 1 (/.f64 (fma.f64 -1 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 x)) (+.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 x y))) 1) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) (+.f64 1 x)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 x y))) (+.f64 1 x)) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2)) (/.f64 (+.f64 1 (/.f64 x y)) (cbrt.f64 (/.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2)) (cbrt.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 x y))) (cbrt.f64 (/.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) x))) (/.f64 (+.f64 1 (/.f64 x y)) (sqrt.f64 (/.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) 2) (sqrt.f64 (/.f64 (+.f64 1 x) x))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) (sqrt.f64 (/.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (/.f64 x y)) 1) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (/.f64 x y)) (fma.f64 -1 x -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 1 x) x) (+.f64 1 (/.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 x) x) (+.f64 1 (/.f64 x y))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (fma.f64 -1 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 x y))) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 x y)) 3) (pow.f64 (/.f64 (+.f64 1 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (/.f64 x y)) (-.f64 (log.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 x y)) (-.f64 (log.f64 x) (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 x y)) (+.f64 1 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) (sqrt.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 x -1) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (+.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 x) (sqrt.f64 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)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (cbrt.f64 (*.f64 x x))) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (+.f64 1 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) x))))))) |
| 1× | egg-herbie |
| 655× | associate--l+_binary64 |
| 651× | associate-+l-_binary64 |
| 506× | unsub-neg_binary64 |
| 418× | +-commutative_binary64 |
| 359× | associate--r+_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 564 |
| 1 | 153 | 564 |
| 2 | 446 | 490 |
| 3 | 2038 | 461 |
| 4 | 7405 | 455 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x) |
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)) |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))) |
(/.f64 x y) |
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x)))) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1))))) (/.f64 1 x)) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(/.f64 x (+.f64 1 x)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(/.f64 x (+.f64 1 x)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(/.f64 1 x) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
| Outputs |
|---|
x |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x) |
(fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) x) |
(fma.f64 x (+.f64 (/.f64 x y) (neg.f64 x)) x) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)) |
(fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)) |
(fma.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)) |
(fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) (fma.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)) x)) |
(+.f64 x (*.f64 x (*.f64 x (*.f64 (+.f64 (neg.f64 x) 1) (+.f64 (/.f64 1 y) -1))))) |
(+.f64 x (*.f64 x (*.f64 (+.f64 (/.f64 1 y) -1) (-.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) (fma.f64 (pow.f64 x 3) (+.f64 1 (/.f64 -1 y)) x))) |
(+.f64 x (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 1 y) -1) (*.f64 (+.f64 (/.f64 x y) (neg.f64 x)) (+.f64 -1 x))))) |
(+.f64 x (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 1 y) -1) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 -1 x))))) |
(/.f64 x y) |
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) |
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y))) |
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) |
(-.f64 (-.f64 (/.f64 x y) -1) (/.f64 1 y)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y)))) (+.f64 (/.f64 1 y) (/.f64 1 x))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 x))) |
(-.f64 (-.f64 (-.f64 (/.f64 x y) -1) (/.f64 1 y)) (/.f64 (+.f64 1 (/.f64 -1 y)) x)) |
(+.f64 1 (+.f64 (-.f64 (/.f64 x y) (/.f64 1 y)) (/.f64 (+.f64 (/.f64 1 y) -1) x))) |
(+.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 -1 y) (/.f64 (+.f64 (/.f64 1 y) -1) x))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x)))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x))))))) |
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x (*.f64 x y))))))) |
(+.f64 (+.f64 (/.f64 x y) (+.f64 1 (/.f64 1 (*.f64 x y)))) (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)) (+.f64 (/.f64 1 y) (/.f64 1 x)))) |
(+.f64 (/.f64 x y) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (+.f64 (/.f64 1 y) -1) x)) (+.f64 (/.f64 1 y) -1))) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1))) |
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y))) |
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) |
(-.f64 (-.f64 (/.f64 x y) -1) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1)))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y)))) (+.f64 (/.f64 1 y) (/.f64 1 x))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 x))) |
(-.f64 (-.f64 (-.f64 (/.f64 x y) -1) (/.f64 1 y)) (/.f64 (+.f64 1 (/.f64 -1 y)) x)) |
(+.f64 1 (+.f64 (-.f64 (/.f64 x y) (/.f64 1 y)) (/.f64 (+.f64 (/.f64 1 y) -1) x))) |
(+.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 -1 y) (/.f64 (+.f64 (/.f64 1 y) -1) x))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (*.f64 -1 (-.f64 (/.f64 1 y) 1))))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x))))))) |
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x (*.f64 x y))))))) |
(+.f64 (+.f64 (/.f64 x y) (+.f64 1 (/.f64 1 (*.f64 x y)))) (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 x x)) (+.f64 (/.f64 1 y) (/.f64 1 x)))) |
(+.f64 (/.f64 x y) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (+.f64 (/.f64 1 y) -1) x)) (+.f64 (/.f64 1 y) -1))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))) |
(*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1))) |
(*.f64 (/.f64 x (fma.f64 x y y)) x) |
(*.f64 x (/.f64 x (fma.f64 x y y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(/.f64 x (+.f64 1 x)) |
(/.f64 x (+.f64 x 1)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(/.f64 x (+.f64 1 x)) |
(/.f64 x (+.f64 x 1)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 x 1)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(/.f64 1 x) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 x (/.f64 x y)) | |
| 0.2b | (*.f64 x (/.f64 x y)) |
Compiled 12 to 4 computations (66.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 (+.f64 (/.f64 x y) 1) x) | |
| ✓ | 0.1b | (*.f64 (+.f64 (/.f64 x y) 1) x) |
Compiled 20 to 9 computations (55% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 (/.f64 x y) 1) x) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 (/.f64 x y) 1) x) |
| 0.0ms | x | @ | inf | (*.f64 (+.f64 (/.f64 x y) 1) x) |
| 0.0ms | y | @ | -inf | (*.f64 (+.f64 (/.f64 x y) 1) x) |
| 0.0ms | y | @ | inf | (*.f64 (+.f64 (/.f64 x y) 1) x) |
| 1× | batch-egg-rewrite |
| 793× | pow1_binary64 |
| 737× | log1p-expm1-u_binary64 |
| 737× | expm1-log1p-u_binary64 |
| 736× | add-log-exp_binary64 |
| 721× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 148 | 10 |
| 2 | 1990 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 (/.f64 x y) 1) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (*.f64 (/.f64 x y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 x y) 3)) x) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) 2) -1) x) (+.f64 (/.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 (/.f64 x y) 3))) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 1 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 x y) 2) -1)) (+.f64 (/.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 (/.f64 x y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 (/.f64 x y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 (/.f64 x y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 (/.f64 x y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 (/.f64 x y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 (/.f64 x y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 x y) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 x y) 1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 (/.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (/.f64 x y)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 (/.f64 x y) x)))))))) |
| 1× | egg-herbie |
| 1365× | fma-def_binary64 |
| 434× | unswap-sqr_binary64 |
| 423× | associate-*r/_binary64 |
| 392× | associate-/r*_binary64 |
| 390× | associate-/r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 204 |
| 1 | 13 | 204 |
| 2 | 22 | 204 |
| 3 | 40 | 168 |
| 4 | 89 | 168 |
| 5 | 294 | 168 |
| 6 | 1195 | 168 |
| 7 | 4053 | 168 |
| 8 | 5599 | 168 |
| 9 | 6222 | 168 |
| 10 | 6469 | 168 |
| 11 | 6856 | 168 |
| 12 | 7341 | 168 |
| 13 | 7919 | 168 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
x |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
x |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
| Outputs |
|---|
x |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(fma.f64 (/.f64 x y) x x) |
(fma.f64 x (/.f64 x y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(fma.f64 (/.f64 x y) x x) |
(fma.f64 x (/.f64 x y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(fma.f64 (/.f64 x y) x x) |
(fma.f64 x (/.f64 x y) x) |
(/.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 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(fma.f64 (/.f64 x y) x x) |
(fma.f64 x (/.f64 x y) x) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(fma.f64 (/.f64 x y) x x) |
(fma.f64 x (/.f64 x y) x) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(fma.f64 (/.f64 x y) x x) |
(fma.f64 x (/.f64 x y) x) |
(/.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 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(fma.f64 (/.f64 x y) x x) |
(fma.f64 x (/.f64 x y) x) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(fma.f64 (/.f64 x y) x x) |
(fma.f64 x (/.f64 x y) x) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(fma.f64 (/.f64 x y) x x) |
(fma.f64 x (/.f64 x y) x) |
(/.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 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(fma.f64 (/.f64 x y) x x) |
(fma.f64 x (/.f64 x y) x) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(fma.f64 (/.f64 x y) x x) |
(fma.f64 x (/.f64 x y) x) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(fma.f64 (/.f64 x y) x x) |
(fma.f64 x (/.f64 x y) x) |
x |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(fma.f64 (/.f64 x y) x x) |
(fma.f64 x (/.f64 x y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(fma.f64 (/.f64 x y) x x) |
(fma.f64 x (/.f64 x y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(fma.f64 (/.f64 x y) x x) |
(fma.f64 x (/.f64 x y) x) |
x |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(fma.f64 (/.f64 x y) x x) |
(fma.f64 x (/.f64 x y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(fma.f64 (/.f64 x y) x x) |
(fma.f64 x (/.f64 x y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 (/.f64 x y) x)) |
(fma.f64 (/.f64 x y) x x) |
(fma.f64 x (/.f64 x y) x) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 x (-.f64 (/.f64 x y) x)) | |
| 0.0b | (-.f64 (/.f64 x y) x) | |
| 0.0b | (+.f64 x (*.f64 x (-.f64 (/.f64 x y) x))) | |
| ✓ | 0.0b | (+.f64 x (*.f64 x (-.f64 (/.f64 x y) x))) |
| 0.0b | (-.f64 (/.f64 x y) x) | |
| ✓ | 0.1b | (*.f64 x (-.f64 (/.f64 x y) x)) |
Compiled 28 to 6 computations (78.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 x (-.f64 (/.f64 x y) x)) |
| 1.0ms | x | @ | 0 | (*.f64 x (-.f64 (/.f64 x y) x)) |
| 1.0ms | x | @ | inf | (*.f64 x (-.f64 (/.f64 x y) x)) |
| 0.0ms | x | @ | inf | (+.f64 x (*.f64 x (-.f64 (/.f64 x y) x))) |
| 0.0ms | y | @ | 0 | (*.f64 x (-.f64 (/.f64 x y) x)) |
| 1× | batch-egg-rewrite |
| 456× | log-prod_binary64 |
| 444× | fma-def_binary64 |
| 383× | prod-exp_binary64 |
| 330× | exp-prod_binary64 |
| 314× | pow-prod-down_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 1 | 164 | 21 |
| 2 | 2589 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (-.f64 (/.f64 x y) x)) |
(+.f64 x (*.f64 x (-.f64 (/.f64 x y) x))) |
| Outputs |
|---|
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(*.f64 (log.f64 x) 1) (*.f64 (log.f64 (-.f64 (/.f64 x y) x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 (/.f64 x y) x)) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (-.f64 (/.f64 x y) x)) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 (/.f64 x y) x)) 1) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 (/.f64 x y) x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))) (/.f64 (pow.f64 (*.f64 x (-.f64 (/.f64 x y) x)) 2) (-.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 (-.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (-.f64 (/.f64 x y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (-.f64 (/.f64 x y) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x)) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x)) 2) (cbrt.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x)))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (-.f64 (/.f64 x y) x)) 3)) (fma.f64 (*.f64 x (-.f64 (/.f64 x y) x)) (fma.f64 x (-.f64 (/.f64 x y) x) (neg.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (-.f64 (/.f64 x y) x)) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 (/.f64 x y) x)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (-.f64 (/.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (-.f64 (/.f64 x y) x)) 2)) (-.f64 x (*.f64 x (-.f64 (/.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (-.f64 (/.f64 x y) x)) 3))) (neg.f64 (fma.f64 (*.f64 x (-.f64 (/.f64 x y) x)) (fma.f64 x (-.f64 (/.f64 x y) x) (neg.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (-.f64 (/.f64 x y) x)) 2))) (neg.f64 (-.f64 x (*.f64 x (-.f64 (/.f64 x y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 (/.f64 x y) x)) 2) (*.f64 x x)) (fma.f64 x (-.f64 (/.f64 x y) x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x (-.f64 (/.f64 x y) x)) (fma.f64 x (-.f64 (/.f64 x y) x) (neg.f64 x)) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (-.f64 (/.f64 x y) x)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (*.f64 x (-.f64 (/.f64 x y) x))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (-.f64 (/.f64 x y) x)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x)))) (sqrt.f64 (log.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 x) (-.f64 (/.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 x (-.f64 (/.f64 x y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 x (-.f64 (/.f64 x y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 (/.f64 x y) x)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 (/.f64 x y) x)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 (/.f64 x y) x)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 (/.f64 x y) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x (-.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 x y) x) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (-.f64 (/.f64 x y) x)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (-.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (-.f64 (/.f64 x y) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (-.f64 (/.f64 x y) x))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 (/.f64 x y) x))) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 (/.f64 x y) x))) 2) (cbrt.f64 (*.f64 x (-.f64 (/.f64 x y) x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 x y) x)) 2) (*.f64 (cbrt.f64 (-.f64 (/.f64 x y) x)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (-.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (-.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 (/.f64 x y) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (-.f64 (/.f64 x y) x))) (sqrt.f64 (*.f64 x (-.f64 (/.f64 x y) x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 x y) x)) (*.f64 (sqrt.f64 (-.f64 (/.f64 x y) x)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (-.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 (/.f64 x y) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 (/.f64 x y) x)) 2)) (cbrt.f64 (-.f64 (/.f64 x y) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (-.f64 (/.f64 x y) x))) (sqrt.f64 (-.f64 (/.f64 x y) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 (/.f64 x y) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 (/.f64 x y) x) (sqrt.f64 x)) (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (-.f64 (/.f64 x y) x) x))))))) |
| 1× | egg-herbie |
| 815× | fma-neg_binary64 |
| 473× | fma-def_binary64 |
| 338× | distribute-rgt-neg-in_binary64 |
| 241× | distribute-lft-neg-in_binary64 |
| 237× | distribute-rgt-out--_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 594 |
| 1 | 55 | 592 |
| 2 | 120 | 592 |
| 3 | 339 | 469 |
| 4 | 1115 | 469 |
| 5 | 3214 | 469 |
| 6 | 5942 | 469 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
x |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x) |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x) |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(+.f64 x (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) |
(+.f64 x (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) |
(+.f64 x (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) x) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) x) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) x) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 x (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 x (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 x (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 x 2) y) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 x 2) y) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 x 2) y) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 x 2) y) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 x 2) y) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 x 2) y) x)) |
| Outputs |
|---|
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(-.f64 (/.f64 x (/.f64 y x)) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(-.f64 (/.f64 x (/.f64 y x)) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(-.f64 (/.f64 x (/.f64 y x)) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(-.f64 (/.f64 x (/.f64 y x)) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(-.f64 (/.f64 x (/.f64 y x)) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(-.f64 (/.f64 x (/.f64 y x)) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(-.f64 (/.f64 x (/.f64 y x)) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(-.f64 (/.f64 x (/.f64 y x)) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(-.f64 (/.f64 x (/.f64 y x)) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(-.f64 (/.f64 x (/.f64 y x)) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(-.f64 (/.f64 x (/.f64 y x)) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(-.f64 (/.f64 x (/.f64 y x)) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(-.f64 (/.f64 x (/.f64 y x)) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(-.f64 (/.f64 x (/.f64 y x)) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(-.f64 (/.f64 x (/.f64 y x)) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(-.f64 (/.f64 x (/.f64 y x)) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(-.f64 (/.f64 x (/.f64 y x)) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(-.f64 (/.f64 x (/.f64 y x)) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(-.f64 (/.f64 x (/.f64 y x)) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(-.f64 (/.f64 x (/.f64 y x)) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) y)) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(-.f64 (/.f64 x (/.f64 y x)) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
x |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(-.f64 (/.f64 x (/.f64 y x)) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(+.f64 x (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(+.f64 x (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(+.f64 x (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) |
(*.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x)) |
(-.f64 (/.f64 x (/.f64 y x)) (*.f64 x x)) |
(*.f64 x (-.f64 (/.f64 x y) x)) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) x) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) x) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(+.f64 (*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 2))) x) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 x (/.f64 (pow.f64 x 2) y))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 x (/.f64 (pow.f64 x 2) y))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 x (/.f64 (pow.f64 x 2) y))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(fma.f64 -1 (*.f64 x x) x) |
(-.f64 x (*.f64 x x)) |
(fma.f64 x (neg.f64 x) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 x 2) y) x)) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 x 2) y) x)) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 x 2) y) x)) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(fma.f64 -1 (*.f64 x x) x) |
(-.f64 x (*.f64 x x)) |
(fma.f64 x (neg.f64 x) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 x 2) y) x)) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 x 2) y) x)) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 x 2) y) x)) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 8.7b | (/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1)) | |
| 0.1b | (/.f64 x (/.f64 y x)) | |
| 0.0b | (+.f64 x (/.f64 x (/.f64 y x))) | |
| ✓ | 0.0b | (+.f64 x (/.f64 x (/.f64 y x))) |
| ✓ | 0.1b | (/.f64 x (/.f64 y x)) |
| ✓ | 8.7b | (/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1)) |
Compiled 34 to 11 computations (67.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1)) |
| 0.0ms | y | @ | inf | (/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1)) |
| 0.0ms | y | @ | -inf | (/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1)) |
| 0.0ms | y | @ | 0 | (/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1)) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 583× | log-prod_binary64 |
| 363× | fma-def_binary64 |
| 352× | pow-prod-down_binary64 |
| 284× | pow2_binary64 |
| 229× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 33 |
| 1 | 209 | 29 |
| 2 | 3284 | 29 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1)) |
(/.f64 x (/.f64 y x)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
| Outputs |
|---|
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x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 x (/.f64 x y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 y x) -1/2) (/.f64 x (sqrt.f64 (/.f64 y x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x 1) (/.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (neg.f64 y)) (neg.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) 1) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x y) (sqrt.f64 x)) (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 x y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (/.f64 x y) x))))))) |
| 1× | egg-herbie |
| 630× | associate--l+_binary64 |
| 569× | associate-+l-_binary64 |
| 403× | +-commutative_binary64 |
| 378× | unsub-neg_binary64 |
| 319× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 867 |
| 1 | 158 | 867 |
| 2 | 446 | 811 |
| 3 | 1907 | 775 |
| 4 | 6504 | 771 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x) |
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)) |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))) |
(/.f64 x y) |
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x)))) |
(/.f64 x y) |
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x))))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2))))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(/.f64 x (+.f64 1 x)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(/.f64 x (+.f64 1 x)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
x |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
x |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
x |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
| Outputs |
|---|
x |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x) |
(fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) x) |
(fma.f64 x (+.f64 (/.f64 x y) (neg.f64 x)) x) |
(fma.f64 x (-.f64 (/.f64 x y) x) x) |
(+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x)) |
(fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)) |
(fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x)) |
(fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x)) |
(+.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 -1 x)))) |
(+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 y) 1) (pow.f64 x 2)) x))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1 y) -1) (*.f64 x x) x))) |
(fma.f64 (+.f64 (/.f64 1 y) -1) (pow.f64 x 4) (fma.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)) (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x))) |
(+.f64 (fma.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 x 3) x) (*.f64 (+.f64 (/.f64 x y) (neg.f64 x)) (+.f64 x (pow.f64 x 3)))) |
(+.f64 (fma.f64 (*.f64 x x) (-.f64 x (/.f64 x y)) x) (*.f64 (-.f64 (/.f64 x y) x) (+.f64 x (pow.f64 x 3)))) |
(/.f64 x y) |
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) |
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y))) |
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 1 x))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y)))) (+.f64 (/.f64 1 y) (/.f64 1 x))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 x)))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 x)))) |
(+.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 y x)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 x 2))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y (pow.f64 x 2))) (/.f64 1 x)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y))))))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 x (*.f64 x y)))) (/.f64 -1 x)))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 1 (*.f64 x (*.f64 x y))))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (+.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 -1 (*.f64 x (*.f64 x y))))) |
(/.f64 x y) |
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) |
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y))) |
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x)))) (/.f64 1 y)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y)))) (+.f64 (/.f64 1 y) (/.f64 1 x))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 x)))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 x)))) |
(+.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) x))))) (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y (pow.f64 x 2))))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 x y)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 y (*.f64 x x)))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 x)) (/.f64 1 (*.f64 x (*.f64 x y))))))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x y))) (+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (+.f64 (/.f64 -1 y) (/.f64 -1 (*.f64 x (*.f64 x y)))) (/.f64 -1 x)))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (-.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 1 (*.f64 x (*.f64 x y))))) |
(+.f64 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 x x))) (+.f64 (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 1 (/.f64 -1 y))) (/.f64 -1 (*.f64 x (*.f64 x y))))) |
(/.f64 (pow.f64 x 2) (*.f64 y (+.f64 1 x))) |
(/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1))) |
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
(/.f64 x (/.f64 (fma.f64 x y y) x)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(/.f64 x (+.f64 1 x)) |
(/.f64 x (+.f64 x 1)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(/.f64 x (+.f64 1 x)) |
(/.f64 x (+.f64 x 1)) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 x (+.f64 1 x)) (/.f64 (pow.f64 x 2) (*.f64 (+.f64 1 x) y))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (*.f64 y (+.f64 x 1)))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1))) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
x |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 x (/.f64 (pow.f64 x 2) y)) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
x |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
x |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
(+.f64 (/.f64 (pow.f64 x 2) y) x) |
(+.f64 x (/.f64 (*.f64 x x) y)) |
(+.f64 x (/.f64 x (/.f64 y x))) |
(+.f64 x (*.f64 x (/.f64 x y))) |
Compiled 8753 to 3695 computations (57.8% saved)
17 alts after pruning (10 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 569 | 5 | 574 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 6 | 9 |
| Total | 573 | 17 | 590 |
| Status | Error | Program |
|---|---|---|
| ✓ | 42.3b | (/.f64 x y) |
| 55.3b | 1 | |
| 54.9b | (/.f64 (*.f64 x x) y) | |
| 37.9b | (+.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1))) | |
| ✓ | 9.4b | (/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1)) |
| 42.9b | (+.f64 (/.f64 x y) (/.f64 -1 y)) | |
| ✓ | 52.5b | (*.f64 x (/.f64 x y)) |
| 27.9b | (+.f64 (*.f64 (/.f64 x y) x) x) | |
| ✓ | 30.6b | (/.f64 x (+.f64 x 1)) |
| ✓ | 0.1b | (/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 1 x) x)) |
| 41.6b | (/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1)) | |
| 27.9b | (/.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 x)) | |
| 28.1b | (+.f64 x (*.f64 x (*.f64 (-.f64 (/.f64 1 y) 1) x))) | |
| 52.5b | (/.f64 x (/.f64 y x)) | |
| ✓ | 35.7b | (*.f64 (+.f64 (/.f64 x y) 1) 1) |
| ✓ | 43.0b | (/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
| 37.5b | x |
Compiled 155 to 102 computations (34.2% saved)
| Inputs |
|---|
x |
1 |
(/.f64 x y) |
(/.f64 x (/.f64 y x)) |
(/.f64 x (+.f64 x 1)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (*.f64 x x) y) |
(*.f64 (+.f64 (/.f64 x y) 1) 1) |
(+.f64 (*.f64 (/.f64 x y) x) x) |
(+.f64 (/.f64 x y) (/.f64 -1 y)) |
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 x)) |
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1)) |
(+.f64 x (*.f64 x (*.f64 (-.f64 (/.f64 1 y) 1) x))) |
(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 1 x) x)) |
(/.f64 (+.f64 x (/.f64 x (/.f64 y x))) (+.f64 x 1)) |
(+.f64 x (*.f64 (*.f64 x x) (-.f64 (*.f64 -1 (*.f64 (-.f64 x 1) x)) 1))) |
| Outputs |
|---|
(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 1 x) x)) |
2 calls:
| 12.0ms | x |
| 10.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
Compiled 129 to 62 computations (51.9% saved)
| Inputs |
|---|
x |
1 |
(/.f64 x y) |
(/.f64 x (/.f64 y x)) |
(/.f64 x (+.f64 x 1)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (*.f64 x x) y) |
(*.f64 (+.f64 (/.f64 x y) 1) 1) |
(+.f64 (*.f64 (/.f64 x y) x) x) |
(+.f64 (/.f64 x y) (/.f64 -1 y)) |
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 x)) |
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1)) |
(+.f64 x (*.f64 x (*.f64 (-.f64 (/.f64 1 y) 1) x))) |
| Outputs |
|---|
(*.f64 (+.f64 (/.f64 x y) 1) 1) |
(+.f64 x (*.f64 x (*.f64 (-.f64 (/.f64 1 y) 1) x))) |
(*.f64 (+.f64 (/.f64 x y) 1) 1) |
2 calls:
| 91.0ms | y |
| 23.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.5b | 3 | x |
| 14.4b | 9 | y |
Compiled 92 to 43 computations (53.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 0.022082053038973322 | 44587738.865049265 |
| 23.0ms | -29.197655605942373 | -0.1224237778638028 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
1 |
(/.f64 x y) |
(/.f64 x (/.f64 y x)) |
(/.f64 x (+.f64 x 1)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (*.f64 x x) y) |
(*.f64 (+.f64 (/.f64 x y) 1) 1) |
(+.f64 (*.f64 (/.f64 x y) x) x) |
(+.f64 (/.f64 x y) (/.f64 -1 y)) |
(/.f64 (*.f64 x x) (+.f64 y (*.f64 x y))) |
(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 x)) |
(/.f64 (/.f64 x (/.f64 y x)) (+.f64 x 1)) |
| Outputs |
|---|
(*.f64 (+.f64 (/.f64 x y) 1) 1) |
(+.f64 (*.f64 (/.f64 x y) x) x) |
(*.f64 (+.f64 (/.f64 x y) 1) 1) |
2 calls:
| 66.0ms | y |
| 22.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.7b | 3 | x |
| 14.4b | 9 | y |
Compiled 81 to 36 computations (55.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 0.022082053038973322 | 44587738.865049265 |
| 23.0ms | -29.197655605942373 | -0.1224237778638028 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
1 |
(/.f64 x y) |
(/.f64 x (/.f64 y x)) |
(/.f64 x (+.f64 x 1)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (*.f64 x x) y) |
(*.f64 (+.f64 (/.f64 x y) 1) 1) |
| Outputs |
|---|
(*.f64 (+.f64 (/.f64 x y) 1) 1) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (+.f64 (/.f64 x y) 1) 1) |
2 calls:
| 40.0ms | y |
| 16.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 11.1b | 3 | x |
| 19.0b | 8 | y |
Compiled 40 to 20 computations (50% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 44587738.865049265 | 53488234585.07184 |
| 21.0ms | -29.197655605942373 | -0.1224237778638028 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
1 |
(/.f64 x y) |
(/.f64 x (/.f64 y x)) |
(/.f64 x (+.f64 x 1)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (*.f64 x x) y) |
| Outputs |
|---|
(/.f64 x y) |
(/.f64 x (+.f64 x 1)) |
(/.f64 x y) |
1 |
(/.f64 x y) |
2 calls:
| 25.0ms | x |
| 20.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 15.8b | 5 | x |
| 21.3b | 4 | y |
Compiled 33 to 16 computations (51.5% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 68.0ms | 5.618359253118895e+114 | 1.4121273993610411e+119 |
| 142.0ms | 1.4698546419223453e+85 | 4.732922476343065e+88 |
| 21.0ms | 44587738.865049265 | 53488234585.07184 |
| 233.0ms | -1.7058228879425838e+51 | -3.9008682302394406e+49 |
Compiled 276 to 211 computations (23.6% saved)
| Inputs |
|---|
x |
1 |
(/.f64 x y) |
(/.f64 x (/.f64 y x)) |
| Outputs |
|---|
(/.f64 x y) |
x |
(/.f64 x y) |
1 |
(/.f64 x y) |
2 calls:
| 35.0ms | x |
| 22.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 17.3b | 5 | x |
| 27.0b | 6 | y |
Compiled 18 to 10 computations (44.4% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 84.0ms | 5.618359253118895e+114 | 1.4121273993610411e+119 |
| 136.0ms | 1.4698546419223453e+85 | 4.732922476343065e+88 |
| 30.0ms | 44587738.865049265 | 53488234585.07184 |
| 20.0ms | -29.197655605942373 | -0.1224237778638028 |
Compiled 178 to 141 computations (20.8% saved)
Total -30.9b remaining (-99.2%)
Threshold costs -30.9b (-99.2%)
| Inputs |
|---|
x |
1 |
| Outputs |
|---|
1 |
x |
1 |
2 calls:
| 10.0ms | x |
| 3.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 31.2b | 3 | x |
| 37.5b | 1 | y |
Compiled 10 to 7 computations (30% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 0.022082053038973322 | 44587738.865049265 |
| 23.0ms | -21573125341413687000.0 | -876309853.054992 |
Compiled 18 to 13 computations (27.8% saved)
| 1× | egg-herbie |
| 5× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 1× | *-rgt-identity_binary64 |
| 1× | sub-neg_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 225 |
| 1 | 63 | 225 |
| 2 | 64 | 225 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 1 x) x)) |
(if (<=.f64 x -128412647370131/4398046511104) (*.f64 (+.f64 (/.f64 x y) 1) 1) (if (<=.f64 x 407341981032021120/18446744073709551616) (+.f64 x (*.f64 x (*.f64 (-.f64 (/.f64 1 y) 1) x))) (*.f64 (+.f64 (/.f64 x y) 1) 1))) |
(if (<=.f64 x -128412647370131/4398046511104) (*.f64 (+.f64 (/.f64 x y) 1) 1) (if (<=.f64 x 407341981032021120/18446744073709551616) (+.f64 (*.f64 (/.f64 x y) x) x) (*.f64 (+.f64 (/.f64 x y) 1) 1))) |
(if (<=.f64 x -128412647370131/4398046511104) (*.f64 (+.f64 (/.f64 x y) 1) 1) (if (<=.f64 x 191502880227974752/4294967296) (/.f64 x (+.f64 x 1)) (*.f64 (+.f64 (/.f64 x y) 1) 1))) |
(if (<=.f64 x -1699999999999999922014212957168973914794551337287680) (/.f64 x y) (if (<=.f64 x 191502880227974752/4294967296) (/.f64 x (+.f64 x 1)) (if (<=.f64 x 15000000000000000219460428460123095464550644817969825889179161807546945463767223238656) (/.f64 x y) (if (<=.f64 x 140000000000000006517823696094853681352592614170309389532456032152450203231794681574444704999668474350119022535236386816) 1 (/.f64 x y))))) |
(if (<=.f64 x -128412647370131/4398046511104) (/.f64 x y) (if (<=.f64 x 191502880227974752/4294967296) x (if (<=.f64 x 15000000000000000219460428460123095464550644817969825889179161807546945463767223238656) (/.f64 x y) (if (<=.f64 x 140000000000000006517823696094853681352592614170309389532456032152450203231794681574444704999668474350119022535236386816) 1 (/.f64 x y))))) |
(if (<=.f64 x -5655265369499549642522624/262144) 1 (if (<=.f64 x 407341981032021120/18446744073709551616) x 1)) |
x |
| Outputs |
|---|
(/.f64 (+.f64 1 (/.f64 x y)) (/.f64 (+.f64 1 x) x)) |
(if (<=.f64 x -128412647370131/4398046511104) (*.f64 (+.f64 (/.f64 x y) 1) 1) (if (<=.f64 x 407341981032021120/18446744073709551616) (+.f64 x (*.f64 x (*.f64 (-.f64 (/.f64 1 y) 1) x))) (*.f64 (+.f64 (/.f64 x y) 1) 1))) |
(if (<=.f64 x -128412647370131/4398046511104) (+.f64 1 (/.f64 x y)) (if (<=.f64 x 3182359226812665/144115188075855872) (+.f64 x (*.f64 x (*.f64 x (+.f64 (/.f64 1 y) -1)))) (+.f64 1 (/.f64 x y)))) |
(if (<=.f64 x -128412647370131/4398046511104) (*.f64 (+.f64 (/.f64 x y) 1) 1) (if (<=.f64 x 407341981032021120/18446744073709551616) (+.f64 (*.f64 (/.f64 x y) x) x) (*.f64 (+.f64 (/.f64 x y) 1) 1))) |
(if (<=.f64 x -128412647370131/4398046511104) (+.f64 1 (/.f64 x y)) (if (<=.f64 x 3182359226812665/144115188075855872) (+.f64 x (*.f64 x (/.f64 x y))) (+.f64 1 (/.f64 x y)))) |
(if (<=.f64 x -128412647370131/4398046511104) (*.f64 (+.f64 (/.f64 x y) 1) 1) (if (<=.f64 x 191502880227974752/4294967296) (/.f64 x (+.f64 x 1)) (*.f64 (+.f64 (/.f64 x y) 1) 1))) |
(if (<=.f64 x -128412647370131/4398046511104) (+.f64 1 (/.f64 x y)) (if (<=.f64 x 5984465007124211/134217728) (/.f64 x (+.f64 1 x)) (+.f64 1 (/.f64 x y)))) |
(if (<=.f64 x -1699999999999999922014212957168973914794551337287680) (/.f64 x y) (if (<=.f64 x 191502880227974752/4294967296) (/.f64 x (+.f64 x 1)) (if (<=.f64 x 15000000000000000219460428460123095464550644817969825889179161807546945463767223238656) (/.f64 x y) (if (<=.f64 x 140000000000000006517823696094853681352592614170309389532456032152450203231794681574444704999668474350119022535236386816) 1 (/.f64 x y))))) |
(if (<=.f64 x -1699999999999999922014212957168973914794551337287680) (/.f64 x y) (if (<=.f64 x 5984465007124211/134217728) (/.f64 x (+.f64 1 x)) (if (<=.f64 x 15000000000000000219460428460123095464550644817969825889179161807546945463767223238656) (/.f64 x y) (if (<=.f64 x 140000000000000006517823696094853681352592614170309389532456032152450203231794681574444704999668474350119022535236386816) 1 (/.f64 x y))))) |
(if (<=.f64 x -128412647370131/4398046511104) (/.f64 x y) (if (<=.f64 x 191502880227974752/4294967296) x (if (<=.f64 x 15000000000000000219460428460123095464550644817969825889179161807546945463767223238656) (/.f64 x y) (if (<=.f64 x 140000000000000006517823696094853681352592614170309389532456032152450203231794681574444704999668474350119022535236386816) 1 (/.f64 x y))))) |
(if (<=.f64 x -128412647370131/4398046511104) (/.f64 x y) (if (<=.f64 x 5984465007124211/134217728) x (if (<=.f64 x 15000000000000000219460428460123095464550644817969825889179161807546945463767223238656) (/.f64 x y) (if (<=.f64 x 140000000000000006517823696094853681352592614170309389532456032152450203231794681574444704999668474350119022535236386816) 1 (/.f64 x y))))) |
(if (<=.f64 x -5655265369499549642522624/262144) 1 (if (<=.f64 x 407341981032021120/18446744073709551616) x 1)) |
(if (<=.f64 x -21573125341413687296) 1 (if (<=.f64 x 3182359226812665/144115188075855872) x 1)) |
x |
| 1× | fuel |
Compiled 334 to 195 computations (41.6% saved)
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