Time bar (total: 1.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 5 |
| 18.8% | 18.7% | 81.2% | 0.1% | 0% | 0% | 0% | 6 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 7 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 8 |
| 67.2% | 67.1% | 32.8% | 0.1% | 0% | 0% | 0% | 9 |
| 71.9% | 71.8% | 28.1% | 0.1% | 0% | 0% | 0% | 10 |
| 82.4% | 82.3% | 17.6% | 0.1% | 0% | 0% | 0% | 11 |
| 85.2% | 85.1% | 14.8% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 10 to 7 computations (30% saved)
| 717.0ms | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 5× | *-commutative_binary64 |
| 4× | associate-/l*_binary64 |
| 4× | associate-/r/_binary64 |
| 2× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 19 | 20 |
| 2 | 27 | 20 |
| 3 | 33 | 20 |
| 4 | 35 | 20 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (*.f64 x y) (+.f64 y 1)) |
(/.f64 (*.f64 y x) (+.f64 x 1)) |
| Outputs |
|---|
(/.f64 (*.f64 x y) (+.f64 y 1)) |
(*.f64 (/.f64 y (+.f64 y 1)) x) |
(*.f64 x (/.f64 y (+.f64 y 1))) |
(/.f64 (*.f64 y x) (+.f64 x 1)) |
(/.f64 y (/.f64 (+.f64 x 1) x)) |
(*.f64 (/.f64 y (+.f64 x 1)) x) |
(*.f64 x (/.f64 y (+.f64 x 1))) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 2× | associate-/r/_binary64 |
| 1× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 13 | 10 |
| 2 | 17 | 10 |
| 3 | 20 | 10 |
| 4 | 21 | 10 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 x y) (+.f64 y 1)) |
| Outputs |
|---|
(/.f64 (*.f64 x y) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(*.f64 (/.f64 y (+.f64 y 1)) x) |
(*.f64 x (/.f64 y (+.f64 y 1))) |
Compiled 30 to 18 computations (40% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 | 2 | 4 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 3 | 5 |
| Status | Error | Program |
|---|---|---|
| ▶ | 9.8b | (/.f64 (*.f64 x y) (+.f64 y 1)) |
| ▶ | 0.0b | (*.f64 (/.f64 y (+.f64 y 1)) x) |
Compiled 18 to 12 computations (33.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (/.f64 y (+.f64 y 1)) x) |
Compiled 20 to 12 computations (40% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 y (+.f64 y 1)) x) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 y (+.f64 y 1)) x) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 y (+.f64 y 1)) x) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 y (+.f64 y 1)) x) |
| 1.0ms | y | @ | -inf | (*.f64 (/.f64 y (+.f64 y 1)) x) |
| 1× | batch-egg-rewrite |
| 823× | pow1_binary64 |
| 766× | log1p-expm1-u_binary64 |
| 766× | expm1-log1p-u_binary64 |
| 765× | add-log-exp_binary64 |
| 749× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 150 | 10 |
| 2 | 2067 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 y (+.f64 y 1)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (+.f64 y 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y 1) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (+.f64 y 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y x)) (+.f64 (neg.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) 1) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (sqrt.f64 (+.f64 y 1))) (sqrt.f64 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) x) (+.f64 (neg.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y 1)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (+.f64 y 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 y x)) (log1p.f64 y))))))) |
| 1× | egg-herbie |
| 523× | distribute-rgt-in_binary64 |
| 454× | fma-neg_binary64 |
| 443× | associate-*l*_binary64 |
| 392× | associate-*r*_binary64 |
| 223× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 539 |
| 1 | 237 | 518 |
| 2 | 750 | 507 |
| 3 | 4482 | 504 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 (pow.f64 y 3) x))) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 3) x) (*.f64 -1 (*.f64 (pow.f64 y 4) x))))) |
x |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))) |
x |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(-.f64 (+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) x)) 1) |
(/.f64 y (/.f64 (+.f64 y 1) x)) |
(/.f64 1 (/.f64 (+.f64 y 1) (*.f64 y x))) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 (neg.f64 (*.f64 y x)) (+.f64 (neg.f64 y) -1)) |
(/.f64 (/.f64 (*.f64 y x) 1) (+.f64 y 1)) |
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (+.f64 y 1))) |
(/.f64 (/.f64 (*.f64 y x) (sqrt.f64 (+.f64 y 1))) (sqrt.f64 (+.f64 y 1))) |
(/.f64 (*.f64 (neg.f64 y) x) (+.f64 (neg.f64 y) -1)) |
(/.f64 (*.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) -1)) |
(pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 1) |
(pow.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)) 3) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)) 2) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 y (+.f64 y 1)))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y 1)) 3) (pow.f64 x 3))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (+.f64 y 1)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y (+.f64 y 1)) x))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y (+.f64 y 1)) x))) |
(exp.f64 (-.f64 (log.f64 (*.f64 y x)) (log1p.f64 y))) |
| Outputs |
|---|
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 y x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (+.f64 (*.f64 (neg.f64 y) y) y)) |
(*.f64 y (-.f64 x (*.f64 y x))) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 (pow.f64 y 3) x))) |
(fma.f64 y x (fma.f64 -1 (*.f64 x (*.f64 y y)) (*.f64 x (pow.f64 y 3)))) |
(fma.f64 y x (*.f64 x (+.f64 (*.f64 (neg.f64 y) y) (pow.f64 y 3)))) |
(*.f64 x (+.f64 y (-.f64 (pow.f64 y 3) (*.f64 y y)))) |
(*.f64 x (+.f64 (-.f64 y (*.f64 y y)) (pow.f64 y 3))) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 3) x) (*.f64 -1 (*.f64 (pow.f64 y 4) x))))) |
(fma.f64 y x (fma.f64 -1 (*.f64 x (*.f64 y y)) (fma.f64 (pow.f64 y 3) x (neg.f64 (*.f64 x (pow.f64 y 4)))))) |
(fma.f64 y x (-.f64 (*.f64 x (+.f64 (*.f64 (neg.f64 y) y) (pow.f64 y 3))) (*.f64 x (pow.f64 y 4)))) |
(*.f64 x (+.f64 (-.f64 y (*.f64 y y)) (-.f64 (pow.f64 y 3) (pow.f64 y 4)))) |
(*.f64 x (*.f64 (+.f64 (*.f64 y y) 1) (-.f64 y (*.f64 y y)))) |
x |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(fma.f64 -1 (/.f64 x y) x) |
(-.f64 x (/.f64 x y)) |
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)) |
(+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y))) |
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))) |
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))) |
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y)))) |
(-.f64 (+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))) (/.f64 x (pow.f64 y 3))) |
(+.f64 x (-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))) (/.f64 x y))) |
(+.f64 (-.f64 x (/.f64 x y)) (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3)))) |
x |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(fma.f64 -1 (/.f64 x y) x) |
(-.f64 x (/.f64 x y)) |
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)) |
(+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y))) |
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))) |
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))) |
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y)))) |
(-.f64 (+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))) (/.f64 x (pow.f64 y 3))) |
(+.f64 x (-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))) (/.f64 x y))) |
(+.f64 (-.f64 x (/.f64 x y)) (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3)))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(-.f64 (+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) x)) 1) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(/.f64 y (/.f64 (+.f64 y 1) x)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(/.f64 1 (/.f64 (+.f64 y 1) (*.f64 y x))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(/.f64 (neg.f64 (*.f64 y x)) (+.f64 (neg.f64 y) -1)) |
(/.f64 x (/.f64 (+.f64 -1 (neg.f64 y)) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 y) (-.f64 -1 y)) x) |
(*.f64 x (/.f64 (neg.f64 y) (-.f64 -1 y))) |
(/.f64 (/.f64 (*.f64 y x) 1) (+.f64 y 1)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (+.f64 y 1))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(/.f64 (/.f64 (*.f64 y x) (sqrt.f64 (+.f64 y 1))) (sqrt.f64 (+.f64 y 1))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(/.f64 (*.f64 (neg.f64 y) x) (+.f64 (neg.f64 y) -1)) |
(/.f64 x (/.f64 (+.f64 -1 (neg.f64 y)) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 y) (-.f64 -1 y)) x) |
(*.f64 x (/.f64 (neg.f64 y) (-.f64 -1 y))) |
(/.f64 (*.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) -1)) |
(/.f64 x (/.f64 (+.f64 -1 (neg.f64 y)) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 y) (-.f64 -1 y)) x) |
(*.f64 x (/.f64 (neg.f64 y) (-.f64 -1 y))) |
(pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 1) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(pow.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 3) 1/3) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)) 3) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)) 2) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 2)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 y (+.f64 y 1)))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 3)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y 1)) 3) (pow.f64 x 3))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (+.f64 y 1)) 3))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y (+.f64 y 1)) x))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y (+.f64 y 1)) x))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(*.f64 y (/.f64 x (-.f64 y -1))) |
(exp.f64 (-.f64 (log.f64 (*.f64 y x)) (log1p.f64 y))) |
(/.f64 (*.f64 y x) (exp.f64 (log1p.f64 y))) |
(/.f64 y (/.f64 (exp.f64 (log1p.f64 y)) x)) |
(*.f64 y (/.f64 x (exp.f64 (log1p.f64 y)))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 9.1b | (/.f64 (*.f64 x y) (+.f64 y 1)) |
Compiled 18 to 9 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 x y) (+.f64 y 1)) |
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 x y) (+.f64 y 1)) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 x y) (+.f64 y 1)) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 x y) (+.f64 y 1)) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 x y) (+.f64 y 1)) |
| 1× | batch-egg-rewrite |
| 854× | pow1_binary64 |
| 797× | log1p-expm1-u_binary64 |
| 797× | expm1-log1p-u_binary64 |
| 796× | add-log-exp_binary64 |
| 780× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 150 | 10 |
| 2 | 2126 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (+.f64 y 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (/.f64 (+.f64 y 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 (+.f64 y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 y (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x y) (/.f64 1 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (/.f64 (+.f64 y 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 (+.f64 y 1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x))) (pow.f64 (cbrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x))) 2) (cbrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (cbrt.f64 (*.f64 x y)) (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x))) (sqrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 y)) (/.f64 1 (+.f64 -1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y 1)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 x (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 y 1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x y)) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x y)) 1) (/.f64 (sqrt.f64 (*.f64 x y)) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 y (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (*.f64 x y) (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 y))) (/.f64 y (hypot.f64 1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (hypot.f64 1 (sqrt.f64 y))) (/.f64 x (hypot.f64 1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 y))) (/.f64 (*.f64 x y) (hypot.f64 1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (hypot.f64 1 (sqrt.f64 y))) (/.f64 (cbrt.f64 (*.f64 x y)) (hypot.f64 1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x y) (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x y) (fma.f64 y y -1)) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 (+.f64 y 1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (/.f64 (+.f64 y 1) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y 1) (*.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x y) (+.f64 -1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (/.f64 (+.f64 y 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (/.f64 (+.f64 y 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (/.f64 (+.f64 y 1) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (+.f64 y 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (/.f64 (+.f64 y 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (/.f64 (+.f64 y 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 x y)) (log1p.f64 y))))))) |
| 1× | egg-herbie |
| 657× | associate-/l*_binary64 |
| 541× | fma-neg_binary64 |
| 423× | times-frac_binary64 |
| 417× | associate-*l/_binary64 |
| 352× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 821 |
| 1 | 402 | 800 |
| 2 | 1321 | 787 |
| 3 | 6351 | 787 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 (pow.f64 y 3) x))) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 3) x) (*.f64 -1 (*.f64 (pow.f64 y 4) x))))) |
x |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))) |
x |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))) |
(-.f64 (+.f64 1 (/.f64 y (/.f64 (+.f64 y 1) x))) 1) |
(*.f64 x (/.f64 1 (/.f64 (+.f64 y 1) y))) |
(*.f64 x (*.f64 y (/.f64 1 (+.f64 y 1)))) |
(*.f64 y (*.f64 x (/.f64 1 (+.f64 y 1)))) |
(*.f64 (*.f64 x y) (/.f64 1 (+.f64 y 1))) |
(*.f64 1 (/.f64 y (/.f64 (+.f64 y 1) x))) |
(*.f64 (/.f64 y (/.f64 (+.f64 y 1) x)) 1) |
(*.f64 (cbrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x))) (pow.f64 (cbrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x))) 2) (cbrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (cbrt.f64 (*.f64 x y)) (/.f64 1 (+.f64 y 1)))) |
(*.f64 (sqrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x))) (sqrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x)))) |
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 1 (+.f64 y 1)))) |
(*.f64 (*.f64 x (neg.f64 y)) (/.f64 1 (+.f64 -1 (neg.f64 y)))) |
(*.f64 (/.f64 1 (+.f64 y 1)) (*.f64 x y)) |
(*.f64 (/.f64 x 1) (/.f64 y (+.f64 y 1))) |
(*.f64 (/.f64 y 1) (/.f64 x (+.f64 y 1))) |
(*.f64 (/.f64 x (+.f64 y 1)) y) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x y)) (+.f64 y 1))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) 1) (/.f64 (sqrt.f64 (*.f64 x y)) (+.f64 y 1))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 y (cbrt.f64 (+.f64 y 1)))) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 y 1)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (*.f64 x y) (cbrt.f64 (+.f64 y 1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 (+.f64 y 1)))) |
(*.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 y))) (/.f64 y (hypot.f64 1 (sqrt.f64 y)))) |
(*.f64 (/.f64 y (hypot.f64 1 (sqrt.f64 y))) (/.f64 x (hypot.f64 1 (sqrt.f64 y)))) |
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 y))) (/.f64 (*.f64 x y) (hypot.f64 1 (sqrt.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (hypot.f64 1 (sqrt.f64 y))) (/.f64 (cbrt.f64 (*.f64 x y)) (hypot.f64 1 (sqrt.f64 y)))) |
(*.f64 (/.f64 (*.f64 x y) (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y))) |
(*.f64 (/.f64 (*.f64 x y) (fma.f64 y y -1)) (+.f64 y -1)) |
(pow.f64 (/.f64 y (/.f64 (+.f64 y 1) x)) 1) |
(pow.f64 (pow.f64 (/.f64 y (/.f64 (+.f64 y 1) x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x))) 3) |
(pow.f64 (sqrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x))) 2) |
(pow.f64 (/.f64 (+.f64 y 1) (*.f64 x y)) -1) |
(neg.f64 (/.f64 (*.f64 x y) (+.f64 -1 (neg.f64 y)))) |
(sqrt.f64 (pow.f64 (/.f64 y (/.f64 (+.f64 y 1) x)) 2)) |
(log.f64 (exp.f64 (/.f64 y (/.f64 (+.f64 y 1) x)))) |
(cbrt.f64 (pow.f64 (/.f64 y (/.f64 (+.f64 y 1) x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (+.f64 y 1) 3))) |
(expm1.f64 (log1p.f64 (/.f64 y (/.f64 (+.f64 y 1) x)))) |
(log1p.f64 (expm1.f64 (/.f64 y (/.f64 (+.f64 y 1) x)))) |
(exp.f64 (-.f64 (log.f64 (*.f64 x y)) (log1p.f64 y))) |
| Outputs |
|---|
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 y x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (+.f64 (*.f64 (neg.f64 y) y) y)) |
(*.f64 x (fma.f64 (neg.f64 y) y y)) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 (pow.f64 y 3) x))) |
(fma.f64 y x (fma.f64 -1 (*.f64 x (*.f64 y y)) (*.f64 x (pow.f64 y 3)))) |
(fma.f64 y x (*.f64 x (+.f64 (*.f64 (neg.f64 y) y) (pow.f64 y 3)))) |
(*.f64 (*.f64 y x) (-.f64 (fma.f64 y y 1) y)) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 3) x) (*.f64 -1 (*.f64 (pow.f64 y 4) x))))) |
(fma.f64 y x (fma.f64 -1 (*.f64 x (*.f64 y y)) (fma.f64 (pow.f64 y 3) x (neg.f64 (*.f64 x (pow.f64 y 4)))))) |
(fma.f64 y x (-.f64 (*.f64 x (+.f64 (*.f64 (neg.f64 y) y) (pow.f64 y 3))) (*.f64 x (pow.f64 y 4)))) |
(*.f64 x (+.f64 (fma.f64 (neg.f64 y) y y) (-.f64 (pow.f64 y 3) (pow.f64 y 4)))) |
x |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(fma.f64 -1 (/.f64 x y) x) |
(-.f64 x (/.f64 x y)) |
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)) |
(+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y))) |
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))) |
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y)))) |
(-.f64 (+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) |
(+.f64 (-.f64 x (/.f64 x y)) (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3)))) |
(+.f64 x (fma.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 x (*.f64 y y)) (/.f64 x (neg.f64 y)))) |
x |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(fma.f64 -1 (/.f64 x y) x) |
(-.f64 x (/.f64 x y)) |
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)) |
(+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y))) |
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))) |
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y)))) |
(-.f64 (+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) |
(+.f64 (-.f64 x (/.f64 x y)) (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3)))) |
(+.f64 x (fma.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 x (*.f64 y y)) (/.f64 x (neg.f64 y)))) |
(-.f64 (+.f64 1 (/.f64 y (/.f64 (+.f64 y 1) x))) 1) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(*.f64 x (/.f64 1 (/.f64 (+.f64 y 1) y))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(*.f64 x (*.f64 y (/.f64 1 (+.f64 y 1)))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(*.f64 y (*.f64 x (/.f64 1 (+.f64 y 1)))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(*.f64 (*.f64 x y) (/.f64 1 (+.f64 y 1))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(*.f64 1 (/.f64 y (/.f64 (+.f64 y 1) x))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(*.f64 (/.f64 y (/.f64 (+.f64 y 1) x)) 1) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(*.f64 (cbrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x))) (pow.f64 (cbrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x))) 2)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x))) 2) (cbrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x)))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (cbrt.f64 (*.f64 x y)) (/.f64 1 (+.f64 y 1)))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(*.f64 (sqrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x))) (sqrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x)))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (/.f64 1 (+.f64 y 1)))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(*.f64 (*.f64 x (neg.f64 y)) (/.f64 1 (+.f64 -1 (neg.f64 y)))) |
(*.f64 (*.f64 x (neg.f64 y)) (/.f64 1 (-.f64 -1 y))) |
(/.f64 x (/.f64 (-.f64 -1 y) (neg.f64 y))) |
(*.f64 x (/.f64 (neg.f64 y) (-.f64 -1 y))) |
(*.f64 (/.f64 1 (+.f64 y 1)) (*.f64 x y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(*.f64 (/.f64 x 1) (/.f64 y (+.f64 y 1))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(*.f64 (/.f64 y 1) (/.f64 x (+.f64 y 1))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(*.f64 (/.f64 x (+.f64 y 1)) y) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x y)) (+.f64 y 1))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) 1) (/.f64 (sqrt.f64 (*.f64 x y)) (+.f64 y 1))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 y (cbrt.f64 (+.f64 y 1)))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 y 1)))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (*.f64 x y) (cbrt.f64 (+.f64 y 1)))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (/.f64 (*.f64 y x) (+.f64 y 1)))) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 y 1) y))) (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) |
(*.f64 (cbrt.f64 (/.f64 x (/.f64 (+.f64 y 1) y))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2))) |
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (/.f64 -1 y)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (sqrt.f64 (*.f64 x y)) (cbrt.f64 (+.f64 y 1)))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(*.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 y))) (/.f64 y (hypot.f64 1 (sqrt.f64 y)))) |
(/.f64 (/.f64 y (hypot.f64 1 (sqrt.f64 y))) (/.f64 (hypot.f64 1 (sqrt.f64 y)) x)) |
(/.f64 y (*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 y)) x) (hypot.f64 1 (sqrt.f64 y)))) |
(*.f64 (/.f64 y (hypot.f64 1 (sqrt.f64 y))) (/.f64 x (hypot.f64 1 (sqrt.f64 y)))) |
(*.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 y))) (/.f64 y (hypot.f64 1 (sqrt.f64 y)))) |
(/.f64 (/.f64 y (hypot.f64 1 (sqrt.f64 y))) (/.f64 (hypot.f64 1 (sqrt.f64 y)) x)) |
(/.f64 y (*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 y)) x) (hypot.f64 1 (sqrt.f64 y)))) |
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 y))) (/.f64 (*.f64 x y) (hypot.f64 1 (sqrt.f64 y)))) |
(*.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 y))) (/.f64 y (hypot.f64 1 (sqrt.f64 y)))) |
(/.f64 (/.f64 y (hypot.f64 1 (sqrt.f64 y))) (/.f64 (hypot.f64 1 (sqrt.f64 y)) x)) |
(/.f64 y (*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 y)) x) (hypot.f64 1 (sqrt.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (hypot.f64 1 (sqrt.f64 y))) (/.f64 (cbrt.f64 (*.f64 x y)) (hypot.f64 1 (sqrt.f64 y)))) |
(*.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 y))) (/.f64 y (hypot.f64 1 (sqrt.f64 y)))) |
(/.f64 (/.f64 y (hypot.f64 1 (sqrt.f64 y))) (/.f64 (hypot.f64 1 (sqrt.f64 y)) x)) |
(/.f64 y (*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 y)) x) (hypot.f64 1 (sqrt.f64 y)))) |
(*.f64 (/.f64 (*.f64 x y) (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y))) |
(*.f64 (/.f64 (*.f64 y x) (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y))) |
(/.f64 (*.f64 (*.f64 y x) (fma.f64 y y (-.f64 1 y))) (+.f64 1 (pow.f64 y 3))) |
(/.f64 (-.f64 (fma.f64 y y 1) y) (/.f64 (/.f64 (+.f64 1 (pow.f64 y 3)) y) x)) |
(*.f64 (/.f64 (*.f64 x y) (fma.f64 y y -1)) (+.f64 y -1)) |
(*.f64 (/.f64 (*.f64 y x) (fma.f64 y y -1)) (+.f64 y -1)) |
(*.f64 (/.f64 y (/.f64 (fma.f64 y y -1) x)) (+.f64 y -1)) |
(*.f64 (*.f64 (/.f64 y (fma.f64 y y -1)) x) (+.f64 y -1)) |
(pow.f64 (/.f64 y (/.f64 (+.f64 y 1) x)) 1) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(pow.f64 (pow.f64 (/.f64 y (/.f64 (+.f64 y 1) x)) 3) 1/3) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(pow.f64 (cbrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x))) 3) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(pow.f64 (sqrt.f64 (/.f64 y (/.f64 (+.f64 y 1) x))) 2) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(pow.f64 (/.f64 (+.f64 y 1) (*.f64 x y)) -1) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(neg.f64 (/.f64 (*.f64 x y) (+.f64 -1 (neg.f64 y)))) |
(*.f64 (*.f64 x (neg.f64 y)) (/.f64 1 (-.f64 -1 y))) |
(/.f64 x (/.f64 (-.f64 -1 y) (neg.f64 y))) |
(*.f64 x (/.f64 (neg.f64 y) (-.f64 -1 y))) |
(sqrt.f64 (pow.f64 (/.f64 y (/.f64 (+.f64 y 1) x)) 2)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(log.f64 (exp.f64 (/.f64 y (/.f64 (+.f64 y 1) x)))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(cbrt.f64 (pow.f64 (/.f64 y (/.f64 (+.f64 y 1) x)) 3)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (+.f64 y 1) 3))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(expm1.f64 (log1p.f64 (/.f64 y (/.f64 (+.f64 y 1) x)))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(log1p.f64 (expm1.f64 (/.f64 y (/.f64 (+.f64 y 1) x)))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 x (/.f64 (+.f64 y 1) y)) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(exp.f64 (-.f64 (log.f64 (*.f64 x y)) (log1p.f64 y))) |
(exp.f64 (-.f64 (log.f64 (*.f64 y x)) (log1p.f64 y))) |
(/.f64 (*.f64 y x) (exp.f64 (log1p.f64 y))) |
Compiled 1768 to 920 computations (48% saved)
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 145 | 4 | 149 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 145 | 6 | 151 |
| Status | Error | Program |
|---|---|---|
| ✓ | 9.8b | (/.f64 (*.f64 x y) (+.f64 y 1)) |
| ▶ | 0.1b | (/.f64 x (-.f64 1 (/.f64 -1 y))) |
| ▶ | 31.6b | (-.f64 x (/.f64 x y)) |
| ✓ | 0.0b | (*.f64 (/.f64 y (+.f64 y 1)) x) |
| ▶ | 31.9b | (*.f64 y x) |
| 31.1b | x |
Compiled 42 to 28 computations (33.3% saved)
Compiled 7 to 3 computations (57.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 x y)) |
Compiled 12 to 4 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 x (/.f64 x y)) |
| 1.0ms | x | @ | 0 | (-.f64 x (/.f64 x y)) |
| 0.0ms | y | @ | -inf | (-.f64 x (/.f64 x y)) |
| 0.0ms | y | @ | inf | (-.f64 x (/.f64 x y)) |
| 0.0ms | y | @ | 0 | (-.f64 x (/.f64 x y)) |
| 1× | batch-egg-rewrite |
| 726× | pow1_binary64 |
| 678× | add-log-exp_binary64 |
| 678× | log1p-expm1-u_binary64 |
| 678× | expm1-log1p-u_binary64 |
| 663× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 116 | 7 |
| 2 | 1789 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (/.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (neg.f64 x) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x y)) (fma.f64 (neg.f64 (/.f64 1 y)) x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x y)) (fma.f64 (/.f64 (neg.f64 x) y) 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 2) (cbrt.f64 (-.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (/.f64 x y))) (sqrt.f64 (-.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y)))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 x y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)) (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2)) (+.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2))) (neg.f64 (+.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 x) y) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) (*.f64 x (/.f64 (neg.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 x (/.f64 (neg.f64 x) 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 (pow.f64 (-.f64 x (/.f64 x y)) 3) 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 (sqrt.f64 (-.f64 x (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 x y))))))) (#(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 fma.f64 1 x (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 x) y)))))) |
| 1× | egg-herbie |
| 922× | div-sub_binary64 |
| 461× | fma-neg_binary64 |
| 403× | fma-def_binary64 |
| 204× | associate-/l*_binary64 |
| 185× | log-prod_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 778 |
| 1 | 287 | 607 |
| 2 | 1031 | 547 |
| 3 | 4609 | 547 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 x (*.f64 -1 (/.f64 x y))) |
(+.f64 x (*.f64 -1 (/.f64 x y))) |
(+.f64 x (*.f64 -1 (/.f64 x y))) |
x |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(+.f64 x (/.f64 (neg.f64 x) y)) |
(+.f64 x (*.f64 (/.f64 (neg.f64 x) y) 1)) |
(+.f64 (-.f64 x (/.f64 x y)) (fma.f64 (neg.f64 (/.f64 1 y)) x (/.f64 x y))) |
(+.f64 (-.f64 x (/.f64 x y)) (fma.f64 (/.f64 (neg.f64 x) y) 1 (/.f64 x y))) |
(+.f64 (-.f64 x (/.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 x y))) |
(+.f64 (-.f64 x (/.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (/.f64 x y))) |
(+.f64 (/.f64 (neg.f64 x) y) x) |
(*.f64 (-.f64 x (/.f64 x y)) 1) |
(*.f64 1 (-.f64 x (/.f64 x y))) |
(*.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 2) (cbrt.f64 (-.f64 x (/.f64 x y)))) |
(*.f64 (sqrt.f64 (-.f64 x (/.f64 x y))) (sqrt.f64 (-.f64 x (/.f64 x y)))) |
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y)))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 x (/.f64 x y)))) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y)))) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y)))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)))) |
(/.f64 1 (/.f64 (+.f64 x (/.f64 x y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2)))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)) (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2)) (+.f64 x (/.f64 x y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2))) (neg.f64 (+.f64 x (/.f64 x y)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 x) y) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) (*.f64 x (/.f64 (neg.f64 x) y))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 x (/.f64 (neg.f64 x) y))) |
(pow.f64 (-.f64 x (/.f64 x y)) 1) |
(pow.f64 (pow.f64 (-.f64 x (/.f64 x y)) 3) 1/3) |
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 3) |
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 x y))) 2) |
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 x y)) 2)) |
(log.f64 (exp.f64 (-.f64 x (/.f64 x y)))) |
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 x y)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 x y)))) |
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 x y)))) |
(exp.f64 (log.f64 (-.f64 x (/.f64 x y)))) |
(fma.f64 1 x (/.f64 (neg.f64 x) y)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 x) y)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 x) y)) |
| Outputs |
|---|
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(*.f64 -1 (/.f64 x y)) |
(/.f64 (neg.f64 x) y) |
(+.f64 x (*.f64 -1 (/.f64 x y))) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(+.f64 x (*.f64 -1 (/.f64 x y))) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(+.f64 x (*.f64 -1 (/.f64 x y))) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
x |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
x |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(+.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(+.f64 x (*.f64 (/.f64 (neg.f64 x) y) 1)) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(+.f64 (-.f64 x (/.f64 x y)) (fma.f64 (neg.f64 (/.f64 1 y)) x (/.f64 x y))) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(+.f64 (-.f64 x (/.f64 x y)) (fma.f64 (/.f64 (neg.f64 x) y) 1 (/.f64 x y))) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(+.f64 (-.f64 x (/.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 x y))) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(+.f64 (-.f64 x (/.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (/.f64 x y))) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(+.f64 (/.f64 (neg.f64 x) y) x) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(*.f64 (-.f64 x (/.f64 x y)) 1) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(*.f64 1 (-.f64 x (/.f64 x y))) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(*.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 2)) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 2) (cbrt.f64 (-.f64 x (/.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(*.f64 (sqrt.f64 (-.f64 x (/.f64 x y))) (sqrt.f64 (-.f64 x (/.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y)))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)) (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (*.f64 x x))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 x (/.f64 x y)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2)) (+.f64 x (/.f64 x y))) |
(/.f64 (-.f64 (/.f64 x y) x) -1) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y)))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)))) |
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y)))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)) (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (*.f64 x x))) |
(/.f64 1 (/.f64 (+.f64 x (/.f64 x y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2)))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 x (/.f64 x y)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2)) (+.f64 x (/.f64 x y))) |
(/.f64 (-.f64 (/.f64 x y) x) -1) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)) (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y))))) |
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y)))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2)) (+.f64 x (/.f64 x y))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 x (/.f64 x y)))) |
(/.f64 (-.f64 (/.f64 x y) x) -1) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y)))))) |
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y)))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)) (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2))) (neg.f64 (+.f64 x (/.f64 x y)))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 x (/.f64 x y)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2)) (+.f64 x (/.f64 x y))) |
(/.f64 (-.f64 (/.f64 x y) x) -1) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 x) y) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) (*.f64 x (/.f64 (neg.f64 x) y))))) |
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y)))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)) (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 x (/.f64 (neg.f64 x) y))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 x (/.f64 x y)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2)) (+.f64 x (/.f64 x y))) |
(/.f64 (-.f64 (/.f64 x y) x) -1) |
(pow.f64 (-.f64 x (/.f64 x y)) 1) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(pow.f64 (pow.f64 (-.f64 x (/.f64 x y)) 3) 1/3) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 3) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(pow.f64 (sqrt.f64 (-.f64 x (/.f64 x y))) 2) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(sqrt.f64 (pow.f64 (-.f64 x (/.f64 x y)) 2)) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(log.f64 (exp.f64 (-.f64 x (/.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(cbrt.f64 (pow.f64 (-.f64 x (/.f64 x y)) 3)) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(expm1.f64 (log1p.f64 (-.f64 x (/.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(log1p.f64 (expm1.f64 (-.f64 x (/.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(exp.f64 (log.f64 (-.f64 x (/.f64 x y)))) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(fma.f64 1 x (/.f64 (neg.f64 x) y)) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 x) y)) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 x) y)) |
(*.f64 (+.f64 1 (/.f64 -1 y)) x) |
(-.f64 x (/.f64 x y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 x (-.f64 1 (/.f64 -1 y))) |
Compiled 21 to 15 computations (28.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 x (-.f64 1 (/.f64 -1 y))) |
| 1.0ms | x | @ | inf | (/.f64 x (-.f64 1 (/.f64 -1 y))) |
| 1.0ms | x | @ | -inf | (/.f64 x (-.f64 1 (/.f64 -1 y))) |
| 0.0ms | y | @ | -inf | (/.f64 x (-.f64 1 (/.f64 -1 y))) |
| 0.0ms | y | @ | inf | (/.f64 x (-.f64 1 (/.f64 -1 y))) |
| 1× | batch-egg-rewrite |
| 885× | pow1_binary64 |
| 821× | add-log-exp_binary64 |
| 820× | log1p-expm1-u_binary64 |
| 820× | expm1-log1p-u_binary64 |
| 805× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 169 | 10 |
| 2 | 2204 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 1 (/.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))) (sqrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (/.f64 1 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 y))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 y))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 y))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 1 y)))) (/.f64 x (sqrt.f64 (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 (/.f64 1 y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (/.f64 -1 (pow.f64 y 3)))) (+.f64 1 (+.f64 (/.f64 -1 y) (/.f64 1 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (/.f64 1 (*.f64 y y)))) (+.f64 1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (/.f64 1 y)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 -1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (/.f64 1 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 (/.f64 1 y)))))))) |
| 1× | egg-herbie |
| 534× | fma-neg_binary64 |
| 311× | fma-def_binary64 |
| 292× | cancel-sign-sub-inv_binary64 |
| 272× | associate-/l*_binary64 |
| 260× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 123 | 694 |
| 1 | 319 | 673 |
| 2 | 974 | 656 |
| 3 | 3963 | 641 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 (/.f64 1 y) 1)) |
(/.f64 x (+.f64 (/.f64 1 y) 1)) |
(/.f64 x (+.f64 (/.f64 1 y) 1)) |
(/.f64 x (+.f64 (/.f64 1 y) 1)) |
(/.f64 x (+.f64 (/.f64 1 y) 1)) |
(/.f64 x (+.f64 (/.f64 1 y) 1)) |
(/.f64 x (+.f64 (/.f64 1 y) 1)) |
(/.f64 x (+.f64 (/.f64 1 y) 1)) |
(/.f64 x (+.f64 (/.f64 1 y) 1)) |
(/.f64 x (+.f64 (/.f64 1 y) 1)) |
(/.f64 x (+.f64 (/.f64 1 y) 1)) |
(/.f64 x (+.f64 (/.f64 1 y) 1)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 (pow.f64 y 3) x))) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 3) x) (*.f64 -1 (*.f64 (pow.f64 y 4) x))))) |
x |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))) |
x |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))) |
(-.f64 (+.f64 1 (/.f64 x (+.f64 1 (/.f64 1 y)))) 1) |
(*.f64 x (/.f64 1 (+.f64 1 (/.f64 1 y)))) |
(*.f64 1 (/.f64 x (+.f64 1 (/.f64 1 y)))) |
(*.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) 1) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y))))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (/.f64 1 y))))) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))) (sqrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y))))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (/.f64 1 y))))) |
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (/.f64 -1 y)))) |
(*.f64 (/.f64 1 (+.f64 1 (/.f64 1 y))) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (/.f64 1 y)))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (/.f64 1 y)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 y))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (/.f64 1 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 y))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y))))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 y))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (/.f64 1 y))))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 1 y)))) (/.f64 x (sqrt.f64 (+.f64 1 (/.f64 1 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 (/.f64 1 y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 (/.f64 1 y))))) |
(*.f64 (/.f64 x (-.f64 1 (/.f64 -1 (pow.f64 y 3)))) (+.f64 1 (+.f64 (/.f64 -1 y) (/.f64 1 (*.f64 y y))))) |
(*.f64 (/.f64 x (-.f64 1 (/.f64 1 (*.f64 y y)))) (+.f64 1 (/.f64 -1 y))) |
(pow.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) 1) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))) 2) |
(pow.f64 (/.f64 (+.f64 1 (/.f64 1 y)) x) -1) |
(neg.f64 (/.f64 x (+.f64 -1 (/.f64 -1 y)))) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) 2)) |
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (/.f64 1 y))))) |
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (/.f64 1 y)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (/.f64 1 y))))) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (/.f64 1 y))))) |
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (/.f64 1 y)))) |
| Outputs |
|---|
(/.f64 x (+.f64 (/.f64 1 y) 1)) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(/.f64 x (+.f64 (/.f64 1 y) 1)) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(/.f64 x (+.f64 (/.f64 1 y) 1)) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(/.f64 x (+.f64 (/.f64 1 y) 1)) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(/.f64 x (+.f64 (/.f64 1 y) 1)) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(/.f64 x (+.f64 (/.f64 1 y) 1)) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(/.f64 x (+.f64 (/.f64 1 y) 1)) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(/.f64 x (+.f64 (/.f64 1 y) 1)) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(/.f64 x (+.f64 (/.f64 1 y) 1)) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(/.f64 x (+.f64 (/.f64 1 y) 1)) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(/.f64 x (+.f64 (/.f64 1 y) 1)) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(/.f64 x (+.f64 (/.f64 1 y) 1)) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 y x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (+.f64 (neg.f64 (*.f64 y y)) y)) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(*.f64 x (fma.f64 (neg.f64 y) y y)) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 (pow.f64 y 3) x))) |
(fma.f64 y x (fma.f64 -1 (*.f64 x (*.f64 y y)) (*.f64 x (pow.f64 y 3)))) |
(fma.f64 x y (*.f64 x (+.f64 (neg.f64 (*.f64 y y)) (pow.f64 y 3)))) |
(*.f64 x (+.f64 y (*.f64 (*.f64 y y) (+.f64 -1 y)))) |
(*.f64 x (+.f64 y (-.f64 (pow.f64 y 3) (*.f64 y y)))) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 3) x) (*.f64 -1 (*.f64 (pow.f64 y 4) x))))) |
(fma.f64 y x (fma.f64 -1 (*.f64 x (*.f64 y y)) (fma.f64 (pow.f64 y 3) x (neg.f64 (*.f64 x (pow.f64 y 4)))))) |
(fma.f64 x y (-.f64 (*.f64 x (+.f64 (neg.f64 (*.f64 y y)) (pow.f64 y 3))) (*.f64 x (pow.f64 y 4)))) |
(*.f64 x (+.f64 (-.f64 y (*.f64 y y)) (-.f64 (pow.f64 y 3) (pow.f64 y 4)))) |
(*.f64 (fma.f64 (neg.f64 y) y y) (*.f64 x (+.f64 1 (*.f64 y y)))) |
x |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(fma.f64 -1 (/.f64 x y) x) |
(-.f64 x (/.f64 x y)) |
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)) |
(+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y))) |
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))) |
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y)))) |
(-.f64 (+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))) (/.f64 x (pow.f64 y 3))) |
(+.f64 x (-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))) (/.f64 x y))) |
(*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x (/.f64 x (*.f64 y y)))) |
x |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(fma.f64 -1 (/.f64 x y) x) |
(-.f64 x (/.f64 x y)) |
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)) |
(+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y))) |
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))) |
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y)))) |
(-.f64 (+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))) (/.f64 x (pow.f64 y 3))) |
(+.f64 x (-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))) (/.f64 x y))) |
(*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x (/.f64 x (*.f64 y y)))) |
(-.f64 (+.f64 1 (/.f64 x (+.f64 1 (/.f64 1 y)))) 1) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(*.f64 x (/.f64 1 (+.f64 1 (/.f64 1 y)))) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(*.f64 1 (/.f64 x (+.f64 1 (/.f64 1 y)))) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(*.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) 1) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))) 2)) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y))))) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (/.f64 1 y))))) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))) (sqrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y))))) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (/.f64 1 y))))) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (/.f64 -1 y)))) |
(/.f64 (*.f64 (neg.f64 x) 1) (+.f64 -1 (/.f64 -1 y))) |
(/.f64 (neg.f64 x) (+.f64 -1 (/.f64 -1 y))) |
(*.f64 (/.f64 1 (+.f64 1 (/.f64 1 y))) x) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (/.f64 1 y)))) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (/.f64 1 y)))) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 y))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (/.f64 1 y))))) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 y))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y))))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 y))) 2))) |
(/.f64 (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 y))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 y))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (/.f64 1 y))))) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 1 y)))) (/.f64 x (sqrt.f64 (+.f64 1 (/.f64 1 y))))) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 (/.f64 1 y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 (/.f64 1 y))))) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(*.f64 (/.f64 x (-.f64 1 (/.f64 -1 (pow.f64 y 3)))) (+.f64 1 (+.f64 (/.f64 -1 y) (/.f64 1 (*.f64 y y))))) |
(/.f64 (+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))) (+.f64 1 (/.f64 1 (pow.f64 y 3)))) |
(*.f64 (/.f64 x (-.f64 1 (/.f64 1 (*.f64 y y)))) (+.f64 1 (/.f64 -1 y))) |
(*.f64 (/.f64 x (+.f64 1 (/.f64 -1 (*.f64 y y)))) (+.f64 1 (/.f64 -1 y))) |
(/.f64 (-.f64 x (/.f64 x y)) (+.f64 1 (/.f64 -1 (*.f64 y y)))) |
(pow.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) 1) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) 3) 1/3) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))) 3) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (/.f64 1 y)))) 2) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(pow.f64 (/.f64 (+.f64 1 (/.f64 1 y)) x) -1) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(neg.f64 (/.f64 x (+.f64 -1 (/.f64 -1 y)))) |
(/.f64 (*.f64 (neg.f64 x) 1) (+.f64 -1 (/.f64 -1 y))) |
(/.f64 (neg.f64 x) (+.f64 -1 (/.f64 -1 y))) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) 2)) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (/.f64 1 y))))) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (/.f64 1 y))) 3)) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (/.f64 1 y)) 3))) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (/.f64 1 y))))) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (/.f64 1 y))))) |
(/.f64 x (+.f64 1 (/.f64 1 y))) |
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (/.f64 1 y)))) |
(/.f64 x (exp.f64 (log1p.f64 (/.f64 1 y)))) |
Compiled 1467 to 739 computations (49.6% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 119 | 0 | 119 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 119 | 6 | 125 |
| Status | Error | Program |
|---|---|---|
| ✓ | 9.8b | (/.f64 (*.f64 x y) (+.f64 y 1)) |
| ✓ | 0.1b | (/.f64 x (-.f64 1 (/.f64 -1 y))) |
| ✓ | 31.6b | (-.f64 x (/.f64 x y)) |
| ✓ | 0.0b | (*.f64 (/.f64 y (+.f64 y 1)) x) |
| ✓ | 31.9b | (*.f64 y x) |
| 31.1b | x |
Compiled 42 to 28 computations (33.3% saved)
Compiled 2 to 2 computations (0% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 5 | 5 |
| Total | 0 | 6 | 6 |
| Status | Error | Program |
|---|---|---|
| ✓ | 9.8b | (/.f64 (*.f64 x y) (+.f64 y 1)) |
| ✓ | 0.1b | (/.f64 x (-.f64 1 (/.f64 -1 y))) |
| ✓ | 31.6b | (-.f64 x (/.f64 x y)) |
| ✓ | 0.0b | (*.f64 (/.f64 y (+.f64 y 1)) x) |
| ✓ | 31.9b | (*.f64 y x) |
| 31.1b | x |
Compiled 42 to 28 computations (33.3% saved)
Compiled 2 to 2 computations (0% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 5 | 5 |
| Total | 0 | 6 | 6 |
| Status | Error | Program |
|---|---|---|
| ✓ | 9.8b | (/.f64 (*.f64 x y) (+.f64 y 1)) |
| ✓ | 0.1b | (/.f64 x (-.f64 1 (/.f64 -1 y))) |
| ✓ | 31.6b | (-.f64 x (/.f64 x y)) |
| ✓ | 0.0b | (*.f64 (/.f64 y (+.f64 y 1)) x) |
| ✓ | 31.9b | (*.f64 y x) |
| 31.1b | x |
Compiled 42 to 28 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 y x) |
(-.f64 x (/.f64 x y)) |
(*.f64 (/.f64 y (+.f64 y 1)) x) |
(/.f64 x (-.f64 1 (/.f64 -1 y))) |
(/.f64 (*.f64 x y) (+.f64 y 1)) |
| Outputs |
|---|
(*.f64 (/.f64 y (+.f64 y 1)) x) |
3 calls:
| 5.0ms | y |
| 5.0ms | x |
| 4.0ms | (/.f64 (*.f64 x y) (+.f64 y 1)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (/.f64 (*.f64 x y) (+.f64 y 1)) |
Compiled 47 to 28 computations (40.4% saved)
| Inputs |
|---|
x |
(*.f64 y x) |
(-.f64 x (/.f64 x y)) |
| Outputs |
|---|
(-.f64 x (/.f64 x y)) |
(*.f64 y x) |
(-.f64 x (/.f64 x y)) |
2 calls:
| 54.0ms | x |
| 11.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 20.1b | 12 | x |
| 0.8b | 3 | y |
Compiled 17 to 9 computations (47.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.0077277807487019495 | 6904691148230.956 |
| 14.0ms | -74.2280639704965 | -0.0008877753292840997 |
| 28.0ms | 304× | body | 256 | valid |
Compiled 280 to 181 computations (35.4% saved)
Total -60.5b remaining (-4677.4%)
Threshold costs -60.5b (-4677.4%)
| Inputs |
|---|
x |
(*.f64 y x) |
| Outputs |
|---|
x |
(*.f64 y x) |
x |
2 calls:
| 35.0ms | x |
| 9.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 20.3b | 12 | x |
| 1.3b | 3 | y |
Compiled 12 to 7 computations (41.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.0077277807487019495 | 6904691148230.956 |
| 16.0ms | -74.2280639704965 | -0.0008877753292840997 |
| 28.0ms | 304× | body | 256 | valid |
Compiled 204 to 143 computations (29.9% saved)
| 1× | egg-herbie |
| 4× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 59 |
| 1 | 27 | 59 |
| 2 | 32 | 59 |
| 3 | 36 | 59 |
| 4 | 39 | 59 |
| 5 | 40 | 59 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 y (+.f64 y 1)) x) |
(if (<=.f64 y -1) (-.f64 x (/.f64 x y)) (if (<=.f64 y 5854679515581645/4503599627370496) (*.f64 y x) (-.f64 x (/.f64 x y)))) |
(if (<=.f64 y -1) x (if (<=.f64 y 1) (*.f64 y x) x)) |
x |
| Outputs |
|---|
(*.f64 (/.f64 y (+.f64 y 1)) x) |
(if (<=.f64 y -1) (-.f64 x (/.f64 x y)) (if (<=.f64 y 5854679515581645/4503599627370496) (*.f64 y x) (-.f64 x (/.f64 x y)))) |
(if (<=.f64 y -1) x (if (<=.f64 y 1) (*.f64 y x) x)) |
x |
Compiled 50 to 28 computations (44% saved)
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 2× | associate-/r/_binary64 |
| 1× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 13 | 10 |
| 2 | 17 | 10 |
| 3 | 20 | 10 |
| 4 | 21 | 10 |
| 1× | saturated |
Compiled 27 to 18 computations (33.3% saved)
Compiled 44 to 21 computations (52.3% saved)
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