Time bar (total: 10.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 0% | 99.9% | 0.1% | 7 |
| 0% | 99.9% | 0.1% | 8 |
| 12.5% | 85.8% | 1.7% | 9 |
| 16.4% | 79.2% | 4.4% | 10 |
| 20.7% | 72.4% | 7% | 11 |
| 32.6% | 53.3% | 14.1% | 12 |
Compiled 19 to 12 computations (36.8% saved)
| 1.2s | 8256× | body | 256 | valid |
| 671.0ms | 4114× | body | 256 | invalid |
| 2× | egg-herbie |
| 677× | div-sub_binary64 |
| 461× | cancel-sign-sub-inv_binary64 |
| 432× | distribute-rgt-in_binary64 |
| 405× | fma-neg_binary64 |
| 370× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 80 |
| 1 | 80 | 80 |
| 2 | 214 | 80 |
| 3 | 441 | 80 |
| 4 | 1093 | 80 |
| 5 | 3258 | 76 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
(/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 x 2)) |
(/.f64 (-.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (*.f64 y 2)) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y y)) (*.f64 z 2)) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
(/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 z z))) (*.f64 y 2)) |
(/.f64 (+.f64 y (*.f64 (/.f64 (+.f64 x z) y) (-.f64 x z))) 2) |
(/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 x 2)) |
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 x 2)) |
(/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 z z))) (*.f64 x 2)) |
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 (+.f64 y z) x) (-.f64 z y)) x)) |
(/.f64 (-.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (*.f64 y 2)) |
(/.f64 (-.f64 (fma.f64 z z (*.f64 y y)) (*.f64 x x)) (*.f64 y 2)) |
(/.f64 (-.f64 (fma.f64 y y (*.f64 z z)) (*.f64 x x)) (*.f64 y 2)) |
(/.f64 (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 x x))) (*.f64 y 2)) |
(/.f64 (-.f64 y (*.f64 (/.f64 (+.f64 x z) y) (-.f64 x z))) 2) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y y)) (*.f64 z 2)) |
(/.f64 (-.f64 (fma.f64 x x (*.f64 z z)) (*.f64 y y)) (*.f64 z 2)) |
(/.f64 (-.f64 (fma.f64 z z (*.f64 x x)) (*.f64 y y)) (*.f64 z 2)) |
(/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 y y))) (*.f64 z 2)) |
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 (-.f64 y x) z) (+.f64 x y)) z)) |
Compiled 21 to 14 computations (33.3% saved)
| 1× | egg-herbie |
| 803× | div-sub_binary64 |
| 796× | fma-def_binary64 |
| 540× | times-frac_binary64 |
| 406× | distribute-rgt-in_binary64 |
| 344× | sub-neg_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 20 |
| 1 | 27 | 20 |
| 2 | 67 | 20 |
| 3 | 136 | 20 |
| 4 | 320 | 20 |
| 5 | 755 | 20 |
| 6 | 1894 | 19 |
| 7 | 4451 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 y 2)) |
(/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 z z))) (*.f64 y 2)) |
(*.f64 -1/2 (-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) y)) |
(*.f64 -1/2 (-.f64 (/.f64 (fma.f64 z z (*.f64 x (neg.f64 x))) y) y)) |
Compiled 31 to 18 computations (41.9% 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 |
|---|---|---|
| ▶ | 13.7b | (*.f64 -1/2 (-.f64 (/.f64 (fma.f64 z z (*.f64 x (neg.f64 x))) y) y)) |
| ▶ | 28.7b | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
Compiled 34 to 21 computations (38.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 (fma.f64 z z (*.f64 x (neg.f64 x))) y) y) |
| ✓ | 0.5b | (fma.f64 z z (*.f64 x (neg.f64 x))) |
| ✓ | 14.1b | (/.f64 (fma.f64 z z (*.f64 x (neg.f64 x))) y) |
Compiled 53 to 11 computations (79.2% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/.f64 (fma.f64 z z (*.f64 x (neg.f64 x))) y) |
| 1.0ms | z | @ | 0 | (/.f64 (fma.f64 z z (*.f64 x (neg.f64 x))) y) |
| 1.0ms | y | @ | 0 | (/.f64 (fma.f64 z z (*.f64 x (neg.f64 x))) y) |
| 1.0ms | z | @ | -inf | (/.f64 (fma.f64 z z (*.f64 x (neg.f64 x))) y) |
| 1.0ms | z | @ | inf | (/.f64 (fma.f64 z z (*.f64 x (neg.f64 x))) y) |
| 1× | batch-egg-rewrite |
| 993× | pow1_binary64 |
| 920× | add-log-exp_binary64 |
| 919× | log1p-expm1-u_binary64 |
| 919× | expm1-log1p-u_binary64 |
| 105× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 39 |
| 1 | 198 | 30 |
| 2 | 2822 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 z z (*.f64 x (neg.f64 x))) y) |
(fma.f64 z z (*.f64 x (neg.f64 x))) |
(-.f64 (/.f64 (fma.f64 z z (*.f64 x (neg.f64 x))) y) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 z x) 2) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (hypot.f64 z x) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y)) 2) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 z x) (sqrt.f64 y)) (/.f64 (hypot.f64 z x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 z x) (*.f64 (hypot.f64 z x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (hypot.f64 z x) 2)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (pow.f64 (hypot.f64 z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 z x) 1) (/.f64 (hypot.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (pow.f64 (hypot.f64 z x) 2) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 z x) (cbrt.f64 (*.f64 y y))) (/.f64 (hypot.f64 z x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (pow.f64 (hypot.f64 z x) 2) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 z x) (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (pow.f64 (hypot.f64 z x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z z) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z z) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z z) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 z x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 z x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 z x) (hypot.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z z) 3) (pow.f64 (*.f64 x x) 3)) (+.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (*.f64 z z) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 x (pow.f64 x 3))) (pow.f64 (hypot.f64 z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 z x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (hypot.f64 z x) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 z x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 z x) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 z x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 z x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (hypot.f64 z x) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) y) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (/.f64 (pow.f64 (hypot.f64 z x) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 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(-.f64 (/.f64 (hypot.f64 z x) (sqrt.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) 2) (*.f64 y (+.f64 y (/.f64 (pow.f64 (hypot.f64 z x) 2) y)))) (-.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (/.f64 (pow.f64 (hypot.f64 z x) 2) y)) (-.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) 2) (*.f64 y (+.f64 y (/.f64 (pow.f64 (hypot.f64 z x) 2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) 2) (*.f64 y y)) (+.f64 y (/.f64 (pow.f64 (hypot.f64 z x) 2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) 2) (*.f64 y (+.f64 y (/.f64 (pow.f64 (hypot.f64 z x) 2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) 2) (*.f64 y y))) (neg.f64 (+.f64 y (/.f64 (pow.f64 (hypot.f64 z x) 2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 z x) 2) (/.f64 1 y) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y)) 2) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (hypot.f64 z x) (sqrt.f64 y)) (/.f64 (hypot.f64 z x) (sqrt.f64 y)) (neg.f64 y)))))) |
| 1× | egg-herbie |
| 645× | fma-neg_binary64 |
| 587× | unswap-sqr_binary64 |
| 541× | cancel-sign-sub-inv_binary64 |
| 440× | fma-def_binary64 |
| 370× | associate-/r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 1421 |
| 1 | 55 | 1327 |
| 2 | 109 | 1153 |
| 3 | 230 | 1151 |
| 4 | 598 | 1151 |
| 5 | 2167 | 1151 |
| 6 | 6258 | 1151 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) y) |
(/.f64 (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) y) |
(/.f64 (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) y) |
(/.f64 (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) y) |
(/.f64 (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) y) |
(/.f64 (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) y) |
(/.f64 (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) y) |
(/.f64 (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) y) |
(/.f64 (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) y) |
(/.f64 (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) y) |
(/.f64 (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) y) |
(/.f64 (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) y) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) |
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) |
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) |
(pow.f64 z 2) |
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) |
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) |
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) |
(pow.f64 z 2) |
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) |
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) |
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) |
(pow.f64 z 2) |
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) |
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) |
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) |
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) |
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) |
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) |
(+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) |
(-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) y) |
(/.f64 (pow.f64 z 2) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) y) |
(/.f64 (pow.f64 z 2) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) y) |
(-.f64 (/.f64 (pow.f64 z 2) y) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) y) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) y) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) y) |
(/.f64 (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) y) |
(+.f64 (*.f64 -1 y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 -1 y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 -1 y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (/.f64 x (/.f64 y x))) |
(*.f64 (neg.f64 x) (/.f64 x y)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) |
(/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) |
(/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) |
(/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 z (/.f64 z y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) |
(/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) |
(/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) |
(/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 z (/.f64 z y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) |
(/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) |
(/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) |
(/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 z (/.f64 z y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) |
(/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) |
(/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) |
(/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (/.f64 x (/.f64 y x))) |
(*.f64 (neg.f64 x) (/.f64 x y)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
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(*.f64 x (/.f64 (neg.f64 x) y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) y) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) y) |
(-.f64 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) y) |
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y) |
(-.f64 (/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) y) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) y) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) y) |
(-.f64 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) y) |
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y) |
(-.f64 (/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) y) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) y) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) y) |
(-.f64 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) y) |
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y) |
(-.f64 (/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) y) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (/.f64 x (/.f64 y x))) |
(*.f64 (neg.f64 x) (/.f64 x y)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) y) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) y) |
(-.f64 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) y) |
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y) |
(-.f64 (/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) y) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) y) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) y) |
(-.f64 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) y) |
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y) |
(-.f64 (/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) y) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) y) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) y) |
(-.f64 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) y) |
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y) |
(-.f64 (/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) y) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y) |
(/.f64 (+.f64 (pow.f64 z 2) (*.f64 -1 (pow.f64 x 2))) y) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) |
(/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(+.f64 (*.f64 -1 y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) y) |
(-.f64 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) y) |
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y) |
(-.f64 (/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) y) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y) |
(+.f64 (*.f64 -1 y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) y) |
(-.f64 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) y) |
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y) |
(-.f64 (/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) y) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y) |
(+.f64 (*.f64 -1 y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) y) |
(-.f64 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) y) |
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y) |
(-.f64 (/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) y) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y))) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) y) |
(-.f64 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) y) |
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y) |
(-.f64 (/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) y) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y))) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) y) |
(-.f64 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) y) |
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y) |
(-.f64 (/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) y) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y))) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) y) |
(-.f64 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) y) |
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y) |
(-.f64 (/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) y) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y))) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) y) |
(-.f64 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) y) |
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y) |
(-.f64 (/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) y) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y))) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) y) |
(-.f64 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) y) |
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y) |
(-.f64 (/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) y) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y))) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) y) |
(-.f64 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) y) |
(-.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) y) |
(-.f64 (/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) y) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 x x) (*.f64 y y)) |
| ✓ | 4.2b | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
| ✓ | 26.7b | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
Compiled 52 to 14 computations (73.1% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
| 2.0ms | x | @ | 0 | (+.f64 (*.f64 x x) (*.f64 y y)) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
| 1.0ms | y | @ | inf | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
| 1.0ms | z | @ | inf | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
| 1× | batch-egg-rewrite |
| 706× | log-prod_binary64 |
| 532× | fma-def_binary64 |
| 276× | fma-neg_binary64 |
| 241× | expm1-udef_binary64 |
| 241× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 42 |
| 1 | 274 | 39 |
| 2 | 4159 | 39 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (hypot.f64 x y) 2) (/.f64 1/2 y)) (neg.f64 (*.f64 (*.f64 z z) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) y)))) (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) y)))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) y))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 (hypot.f64 x y) 2) (/.f64 1/2 y)) (*.f64 (*.f64 z z) (/.f64 1/2 y)))))) 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(-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (fma.f64 x x (*.f64 (neg.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 x 6) (pow.f64 y 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (-.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (pow.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 x x (*.f64 (neg.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6))) (neg.f64 (-.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (neg.f64 (fma.f64 x x (*.f64 (neg.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 4) (pow.f64 x 4)) (-.f64 (*.f64 y y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 x 6) (pow.f64 y 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x x))) (pow.f64 (exp.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (expm1.f64 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x x))) (+.f64 1 (expm1.f64 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y y))) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) y) (+.f64 1 (expm1.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y y))) (+.f64 1 (expm1.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y y (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y y) 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 y 4)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y y)))))) |
| 1× | egg-herbie |
| 815× | fma-def_binary64 |
| 673× | associate-/r/_binary64 |
| 639× | associate-/l/_binary64 |
| 512× | associate-*l/_binary64 |
| 381× | associate-*r/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 1465 |
| 1 | 109 | 1371 |
| 2 | 251 | 1290 |
| 3 | 648 | 1206 |
| 4 | 2362 | 1149 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) y)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/2 (-.f64 y (/.f64 (pow.f64 z 2) y))) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 1/2 (-.f64 y (/.f64 (pow.f64 z 2) y))) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 1/2 (-.f64 y (/.f64 (pow.f64 z 2) y))) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/2 (-.f64 y (/.f64 (pow.f64 z 2) y))) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 1/2 (-.f64 y (/.f64 (pow.f64 z 2) y))) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 1/2 (-.f64 y (/.f64 (pow.f64 z 2) y))) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(*.f64 1/2 y) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(*.f64 1/2 y) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(*.f64 1/2 (/.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 1/2 (+.f64 y (/.f64 (pow.f64 x 2) y))) (*.f64 -1/2 (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 1/2 (+.f64 y (/.f64 (pow.f64 x 2) y))) (*.f64 -1/2 (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 1/2 (+.f64 y (/.f64 (pow.f64 x 2) y))) (*.f64 -1/2 (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 1/2 (+.f64 y (/.f64 (pow.f64 x 2) y))) (*.f64 -1/2 (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 1/2 (+.f64 y (/.f64 (pow.f64 x 2) y))) (*.f64 -1/2 (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 1/2 (+.f64 y (/.f64 (pow.f64 x 2) y))) (*.f64 -1/2 (/.f64 (pow.f64 z 2) y))) |
(-.f64 (pow.f64 y 2) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(pow.f64 x 2) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(pow.f64 x 2) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (pow.f64 x 2) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(pow.f64 y 2) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(pow.f64 y 2) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(*.f64 -1 (pow.f64 z 2)) |
(+.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2))) |
(+.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2))) |
(+.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2))) |
(*.f64 -1 (pow.f64 z 2)) |
(+.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2))) |
(+.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2))) |
(+.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2))) |
(pow.f64 y 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(pow.f64 y 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(pow.f64 y 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) y)) |
(*.f64 1/2 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) y)) |
(*.f64 (/.f64 1/2 y) (-.f64 (*.f64 y y) (*.f64 z z))) |
(*.f64 1/2 (-.f64 y (*.f64 z (/.f64 z y)))) |
(*.f64 1/2 (fma.f64 (/.f64 z y) (neg.f64 z) y)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) y) (/.f64 (*.f64 x x) y))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) y) (/.f64 x (/.f64 y x)))) |
(*.f64 1/2 (+.f64 (*.f64 1 y) (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y))) |
(*.f64 1/2 (+.f64 y (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)))) |
(*.f64 1/2 (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) y)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) y) (/.f64 (*.f64 x x) y))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) y) (/.f64 x (/.f64 y x)))) |
(*.f64 1/2 (+.f64 (*.f64 1 y) (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y))) |
(*.f64 1/2 (+.f64 y (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)))) |
(*.f64 1/2 (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) y)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) y) (/.f64 (*.f64 x x) y))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) y) (/.f64 x (/.f64 y x)))) |
(*.f64 1/2 (+.f64 (*.f64 1 y) (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y))) |
(*.f64 1/2 (+.f64 y (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)))) |
(*.f64 1/2 (fma.f64 (/.f64 (+.f64 z x) y) (-.f64 x z) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(+.f64 (*.f64 1/2 (-.f64 y (/.f64 (pow.f64 z 2) y))) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) y) (/.f64 (*.f64 x x) y))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) y) (/.f64 x (/.f64 y x)))) |
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(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(+.f64 (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(+.f64 (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(-.f64 (pow.f64 x 2) (pow.f64 z 2)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(+.f64 (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(+.f64 (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(+.f64 (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(pow.f64 y 2) |
(*.f64 y y) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(+.f64 (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(+.f64 (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(+.f64 (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(pow.f64 y 2) |
(*.f64 y y) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(+.f64 (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(+.f64 (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(+.f64 (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(*.f64 -1 (pow.f64 z 2)) |
(neg.f64 (*.f64 z z)) |
(*.f64 z (neg.f64 z)) |
(+.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2))) |
(+.f64 (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(+.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2))) |
(+.f64 (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(+.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2))) |
(+.f64 (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(*.f64 -1 (pow.f64 z 2)) |
(neg.f64 (*.f64 z z)) |
(*.f64 z (neg.f64 z)) |
(+.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2))) |
(+.f64 (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(+.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2))) |
(+.f64 (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(+.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2))) |
(+.f64 (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (*.f64 x x)) |
(fma.f64 x x (*.f64 y y)) |
Compiled 7983 to 3971 computations (50.3% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 393 | 13 | 406 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 395 | 13 | 408 |
| Status | Error | Program |
|---|---|---|
| 53.9b | (/.f64 (*.f64 z (neg.f64 z)) (*.f64 y 2)) | |
| 53.9b | (*.f64 (*.f64 z z) (/.f64 -1/2 y)) | |
| 24.4b | (*.f64 -1/2 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) y)) 3)) | |
| ▶ | 0.1b | (*.f64 -1/2 (-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y)) |
| ▶ | 23.8b | (*.f64 -1/2 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) 3) y) y)) |
| ▶ | 12.8b | (*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)) |
| 47.5b | (/.f64 (*.f64 y y) (*.f64 y 2)) | |
| ▶ | 25.8b | (*.f64 1/2 y) |
| 13.1b | (*.f64 -1/2 (-.f64 (*.f64 x (/.f64 (neg.f64 x) y)) y)) | |
| ▶ | 52.7b | (/.f64 (*.f64 x x) (*.f64 y 2)) |
| 49.3b | (*.f64 1/2 (/.f64 x (/.f64 y x))) | |
| 28.8b | (pow.f64 (*.f64 2 (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)))) -1) | |
| 35.5b | (fma.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (+.f64 y y))) (/.f64 (hypot.f64 x y) (sqrt.f64 (+.f64 y y))) (neg.f64 (*.f64 (*.f64 z z) (/.f64 1/2 y)))) |
Compiled 356 to 240 computations (32.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y) |
| ✓ | 0.0b | (/.f64 (-.f64 z x) y) |
| ✓ | 0.2b | (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
Compiled 51 to 11 computations (78.4% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | y | @ | inf | (/.f64 (-.f64 z x) y) |
| 1.0ms | z | @ | 0 | (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
| 1.0ms | y | @ | -inf | (/.f64 (-.f64 z x) y) |
| 1.0ms | z | @ | -inf | (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
| 1× | batch-egg-rewrite |
| 664× | fma-def_binary64 |
| 641× | log-prod_binary64 |
| 315× | fma-neg_binary64 |
| 225× | pow1/3_binary64 |
| 223× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 225 | 36 |
| 2 | 3904 | 36 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(/.f64 (-.f64 z x) y) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x (-.f64 z x)) y) (*.f64 z (/.f64 (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (/.f64 (-.f64 z x) y)) (/.f64 (*.f64 x (-.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 x (-.f64 z x)) y) 1) (*.f64 (*.f64 z (/.f64 (-.f64 z x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z x)) (/.f64 (-.f64 z x) y))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z x)) (/.f64 (-.f64 z x) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 z x)) (/.f64 (-.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 z x)) (/.f64 (-.f64 z x) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 z x)) (/.f64 (-.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 z x) (/.f64 y (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (-.f64 (*.f64 z z) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 z 3) (pow.f64 x 3)) (*.f64 (/.f64 y (-.f64 z x)) (fma.f64 z (-.f64 z x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 (/.f64 y (-.f64 z x)) (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 z z) (*.f64 x x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 z x) (+.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 y (fma.f64 z (-.f64 z x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 z 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(/.f64 (-.f64 z x) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 z (/.f64 (-.f64 z x) y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 z (/.f64 (-.f64 z x) y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 2)) (cbrt.f64 (/.f64 (-.f64 z x) y)) (fma.f64 z (/.f64 (-.f64 z x) y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (/.f64 (-.f64 z x) y))) (sqrt.f64 (/.f64 (-.f64 z x) y)) (fma.f64 z (/.f64 (-.f64 z x) y) (neg.f64 y))))))) |
| 1× | egg-herbie |
| 605× | fma-def_binary64 |
| 374× | associate-/l*_binary64 |
| 247× | associate-*l/_binary64 |
| 231× | distribute-rgt-in_binary64 |
| 220× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 1761 |
| 1 | 132 | 1403 |
| 2 | 347 | 1165 |
| 3 | 1244 | 1023 |
| 4 | 4004 | 1023 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(/.f64 z y) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(/.f64 z y) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(/.f64 z y) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) y) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) y) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) y) |
(-.f64 (/.f64 (pow.f64 z 2) y) y) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (/.f64 (pow.f64 z 2) y)) y) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (neg.f64 x) x) y) |
(/.f64 (neg.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (neg.f64 x) x) y) |
(/.f64 (neg.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) |
(-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) |
(/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) |
(-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) |
(/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (*.f64 z z) y) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) |
(-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) |
(/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) |
(-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) |
(/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (*.f64 z z) y) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) |
(-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) |
(/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) |
(-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) |
(/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (*.f64 z z) y) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) |
(-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) |
(/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) |
(-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) |
(/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (neg.f64 x) x) y) |
(/.f64 (neg.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (neg.f64 x) x) y) |
(/.f64 (neg.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) |
(-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) |
(/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) |
(-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) |
(/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (neg.f64 x) x) y) |
(/.f64 (neg.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (neg.f64 x) x) y) |
(/.f64 (neg.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) |
(-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) |
(/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) |
(-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) |
(/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) |
(-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) |
(/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) |
(-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) |
(/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) |
(-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) |
(/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) |
(-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) |
(/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) |
(-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) |
(/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) |
(-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) |
(/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) |
(-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) |
(/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) |
(-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) |
(/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) |
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(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) y) |
(-.f64 (-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (*.f64 (/.f64 x y) x))) |
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) y) |
(-.f64 (-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (*.f64 (/.f64 x y) x))) |
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) y) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) y) |
(-.f64 (-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (*.f64 (/.f64 x y) x))) |
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) y) |
(-.f64 (-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (*.f64 (/.f64 x y) x))) |
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) y) |
(-.f64 (-.f64 (fma.f64 z 0 (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (*.f64 (/.f64 x y) x))) |
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 x z))) y) |
Compiled 8 to 6 computations (25% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 9.4b | (/.f64 (*.f64 x x) (*.f64 y 2)) |
Compiled 19 to 10 computations (47.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | (/.f64 (*.f64 x x) (*.f64 y 2)) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 x x) (*.f64 y 2)) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 x x) (*.f64 y 2)) |
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 x x) (*.f64 y 2)) |
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 x x) (*.f64 y 2)) |
| 1× | batch-egg-rewrite |
| 825× | pow1_binary64 |
| 769× | add-log-exp_binary64 |
| 769× | log1p-expm1-u_binary64 |
| 769× | expm1-log1p-u_binary64 |
| 751× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 151 | 10 |
| 2 | 2076 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x x) (*.f64 y 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 2 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 2) (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (*.f64 y 2))) (/.f64 x (sqrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 x x)) (/.f64 1 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 x x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 y 2))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (*.f64 y 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (*.f64 y 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 y (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x 4) (*.f64 4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 y 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))))))) |
| 1× | egg-herbie |
| 715× | associate-/l/_binary64 |
| 524× | associate-*l*_binary64 |
| 508× | *-commutative_binary64 |
| 470× | sqr-pow_binary64 |
| 446× | associate-*l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 240 |
| 1 | 16 | 240 |
| 2 | 30 | 240 |
| 3 | 61 | 240 |
| 4 | 166 | 240 |
| 5 | 608 | 240 |
| 6 | 2641 | 240 |
| 7 | 3711 | 240 |
| 8 | 3921 | 240 |
| 9 | 4141 | 240 |
| 10 | 4369 | 240 |
| 11 | 4706 | 240 |
| 12 | 6267 | 240 |
| 13 | 6934 | 240 |
| 14 | 7732 | 240 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 z (/.f64 z y)) y) |
| ✓ | 0.2b | (*.f64 z (/.f64 z y)) |
Compiled 30 to 9 computations (70% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | (*.f64 z (/.f64 z y)) |
| 1.0ms | z | @ | 0 | (*.f64 z (/.f64 z y)) |
| 1.0ms | y | @ | 0 | (*.f64 z (/.f64 z y)) |
| 1.0ms | y | @ | inf | (*.f64 z (/.f64 z y)) |
| 0.0ms | y | @ | -inf | (*.f64 z (/.f64 z y)) |
| 1× | batch-egg-rewrite |
| 818× | pow1_binary64 |
| 762× | add-log-exp_binary64 |
| 762× | log1p-expm1-u_binary64 |
| 762× | expm1-log1p-u_binary64 |
| 745× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 1 | 137 | 17 |
| 2 | 2031 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 z (/.f64 z y)) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (/.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 z y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (/.f64 z y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (/.f64 z y)) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 z (/.f64 z y)) y) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 z (/.f64 z y)) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 z (/.f64 z y)) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (*.f64 z (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 z (/.f64 z y)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 z (/.f64 z y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) 2) (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) (sqrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y (fma.f64 z (/.f64 z y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y y)) (/.f64 1 (fma.f64 z (/.f64 z y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 y)) (-.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y (fma.f64 z (/.f64 z y) y))) (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z (/.f64 z y) y) (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y (fma.f64 z (/.f64 z y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y y)) (fma.f64 z (/.f64 z y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y (fma.f64 z (/.f64 z y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y y))) (neg.f64 (fma.f64 z (/.f64 z y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (*.f64 z (/.f64 z y)) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (*.f64 z (/.f64 z y)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 z (/.f64 z y)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 z (/.f64 z y)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 z (/.f64 z y)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 z (/.f64 z y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 z (/.f64 z y)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 z (/.f64 z y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 z (/.f64 z y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 z (/.f64 z y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (/.f64 z y) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z y) z (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (/.f64 z y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 z y))) 2) (cbrt.f64 (*.f64 z (/.f64 z y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)) (neg.f64 y)))))) |
| 1× | egg-herbie |
| 563× | div-sub_binary64 |
| 547× | associate-/r/_binary64 |
| 440× | fma-neg_binary64 |
| 434× | unswap-sqr_binary64 |
| 392× | associate-/r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 396 |
| 1 | 18 | 378 |
| 2 | 30 | 378 |
| 3 | 52 | 378 |
| 4 | 111 | 378 |
| 5 | 350 | 378 |
| 6 | 1583 | 378 |
| 7 | 5645 | 378 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
| Outputs |
|---|
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (hypot.f64 z x) 2) |
| ✓ | 0.6b | (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) 3) |
| ✓ | 14.1b | (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) 3) y) |
| ✓ | 18.9b | (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) |
Compiled 67 to 39 computations (41.8% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | z | @ | inf | (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) 3) |
| 5.0ms | z | @ | 0 | (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) |
| 4.0ms | x | @ | 0 | (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) 3) y) |
| 3.0ms | z | @ | 0 | (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) 3) y) |
| 3.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) 3) |
| 1× | batch-egg-rewrite |
| 929× | pow1_binary64 |
| 867× | add-log-exp_binary64 |
| 866× | log1p-expm1-u_binary64 |
| 866× | expm1-log1p-u_binary64 |
| 845× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 33 |
| 1 | 236 | 33 |
| 2 | 2510 | 33 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) |
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) 3) y) |
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) 3) |
(pow.f64 (hypot.f64 z x) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 z x)) (cbrt.f64 (hypot.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 z x) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 z x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 z x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 (hypot.f64 z x) 2) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 z x) 2) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (hypot.f64 z x) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4)) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z x) 4) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z x) 4) (*.f64 y y))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 z x) (sqrt.f64 y)) (/.f64 (hypot.f64 z x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 z x) (*.f64 (hypot.f64 z x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (hypot.f64 z x) 2)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (pow.f64 (hypot.f64 z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 z x) 1) (/.f64 (hypot.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (hypot.f64 z x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (pow.f64 (hypot.f64 z x) 2) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (pow.f64 (hypot.f64 z x) 2) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 z x) (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (pow.f64 (hypot.f64 z x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (hypot.f64 z x) 4) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 z x) 2) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z z) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (hypot.f64 z x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 z x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) (cbrt.f64 (pow.f64 (hypot.f64 z x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4)) (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2))) (cbrt.f64 (pow.f64 (hypot.f64 z x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 z x) (hypot.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 z x)) (*.f64 (cbrt.f64 (hypot.f64 z x)) (cbrt.f64 (pow.f64 (hypot.f64 z x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 z x)) (*.f64 (sqrt.f64 (hypot.f64 z x)) (hypot.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4))) 3) (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (hypot.f64 z x) (sqrt.f64 (hypot.f64 z x))) (sqrt.f64 (hypot.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (hypot.f64 z x) (cbrt.f64 (pow.f64 (hypot.f64 z x) 2))) (cbrt.f64 (hypot.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4)) 1) (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4)))) (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4)) (cbrt.f64 (hypot.f64 z x))) (cbrt.f64 (hypot.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z z) 3) (pow.f64 (*.f64 x x) 3)) (+.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 z z) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 z z) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 z x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 z x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (hypot.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z z (*.f64 x x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z z) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (hypot.f64 z x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 z x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) (cbrt.f64 (pow.f64 (hypot.f64 z x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4)) (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2))) (cbrt.f64 (pow.f64 (hypot.f64 z x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 z x) (hypot.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 z x)) (*.f64 (cbrt.f64 (hypot.f64 z x)) (cbrt.f64 (pow.f64 (hypot.f64 z x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 z x)) (*.f64 (sqrt.f64 (hypot.f64 z x)) (hypot.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4))) 3) (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (hypot.f64 z x) (sqrt.f64 (hypot.f64 z x))) (sqrt.f64 (hypot.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (hypot.f64 z x) (cbrt.f64 (pow.f64 (hypot.f64 z x) 2))) (cbrt.f64 (hypot.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4)) 1) (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4)))) (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 4)) (cbrt.f64 (hypot.f64 z x))) (cbrt.f64 (hypot.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z z) 3) (pow.f64 (*.f64 x x) 3)) (+.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 z z) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 z z) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 z x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 z x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (hypot.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z z (*.f64 x x)))))) |
| 1× | egg-herbie |
| 601× | associate-/l*_binary64 |
| 484× | +-commutative_binary64 |
| 381× | fma-def_binary64 |
| 326× | associate-*l/_binary64 |
| 289× | associate-*r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 305 | 1898 |
| 1 | 1002 | 1771 |
| 2 | 3426 | 1708 |
| 3 | 7204 | 1672 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (pow.f64 x 2) 1/3) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/3) (pow.f64 z 2))) (pow.f64 (pow.f64 x 2) 1/3)) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/3) (pow.f64 z 2))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 10)) 1/3) (pow.f64 z 4))) (pow.f64 (pow.f64 x 2) 1/3))) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/3) (pow.f64 z 2))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 10)) 1/3) (pow.f64 z 4))) (+.f64 (pow.f64 (pow.f64 x 2) 1/3) (*.f64 5/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/3) (pow.f64 z 6)))))) |
(pow.f64 (pow.f64 z 2) 1/3) |
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/3) (pow.f64 x 2)))) |
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/3) (pow.f64 x 2))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 10)) 1/3) (pow.f64 x 4))))) |
(+.f64 (*.f64 5/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/3) (pow.f64 x 6))) (+.f64 (pow.f64 (pow.f64 z 2) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/3) (pow.f64 x 2))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 10)) 1/3) (pow.f64 x 4)))))) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (/.f64 (pow.f64 z 2) y) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2)) y)) (*.f64 5/64 (/.f64 1 (*.f64 y (pow.f64 x 6))))) (pow.f64 z 8)) (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 (pow.f64 z 2) y) (+.f64 (*.f64 (pow.f64 z 10) (-.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2)) (*.f64 y (pow.f64 x 2)))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 6)))) (*.f64 y (pow.f64 x 2)))))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2)) y)) (*.f64 5/64 (/.f64 1 (*.f64 y (pow.f64 x 6))))) (pow.f64 z 8)) (/.f64 (pow.f64 x 2) y)))) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (/.f64 (pow.f64 x 2) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (pow.f64 x 2) y) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 4) (*.f64 y (pow.f64 z 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (*.f64 y (pow.f64 z 2)))) (/.f64 (pow.f64 z 2) y)))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 6) (*.f64 y (pow.f64 z 4)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 6) (*.f64 y (pow.f64 z 4)))) (+.f64 (/.f64 (pow.f64 x 2) y) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (*.f64 y (pow.f64 z 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 4) (*.f64 y (pow.f64 z 2)))) (/.f64 (pow.f64 z 2) y)))))) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (/.f64 (pow.f64 x 2) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (pow.f64 x 2) y) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 4) (*.f64 y (pow.f64 z 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (*.f64 y (pow.f64 z 2)))) (/.f64 (pow.f64 z 2) y)))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 6) (*.f64 y (pow.f64 z 4)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 6) (*.f64 y (pow.f64 z 4)))) (+.f64 (/.f64 (pow.f64 x 2) y) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (*.f64 y (pow.f64 z 2)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 4) (*.f64 y (pow.f64 z 2)))) (/.f64 (pow.f64 z 2) y)))))) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (/.f64 (pow.f64 x 2) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 y (pow.f64 z 6)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 z 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 z 6)))) y)) (*.f64 1/16 (/.f64 1 (*.f64 y (pow.f64 z 6)))))) (pow.f64 x 8)) (+.f64 (/.f64 (pow.f64 x 2) y) (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 z 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 z 6)))) (pow.f64 z 4))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 z 8))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 z 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 z 6)))) (pow.f64 z 2)))) (pow.f64 z 2))) (pow.f64 (/.f64 1/16 (pow.f64 z 5)) 2))) y)) (+.f64 (*.f64 1/256 (/.f64 1 (*.f64 y (pow.f64 z 10)))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 z 8))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 z 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 z 6)))) (pow.f64 z 2)))) (*.f64 y (pow.f64 z 2)))) (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 z 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 z 6)))) (*.f64 y (pow.f64 z 4))))))) (pow.f64 x 12)) (+.f64 (*.f64 (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 y (pow.f64 z 6)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 z 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 z 6)))) y)) (*.f64 1/16 (/.f64 1 (*.f64 y (pow.f64 z 6)))))) (pow.f64 x 8)) (+.f64 (/.f64 (pow.f64 x 2) y) (/.f64 (pow.f64 z 2) y)))) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 4) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 z 4) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 z 6) (*.f64 y (pow.f64 x 4)))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 z 6) (*.f64 y (pow.f64 x 4)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 4) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 z 4) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y)))))) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 4) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 z 4) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 z 6) (*.f64 y (pow.f64 x 4)))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 z 6) (*.f64 y (pow.f64 x 4)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 4) (*.f64 y (pow.f64 x 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 z 4) (*.f64 y (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 z 2) y) (/.f64 (pow.f64 x 2) y)))))) |
(/.f64 (+.f64 (pow.f64 z 2) (pow.f64 x 2)) y) |
(/.f64 (+.f64 (pow.f64 z 2) (pow.f64 x 2)) y) |
(/.f64 (+.f64 (pow.f64 z 2) (pow.f64 x 2)) y) |
(/.f64 (+.f64 (pow.f64 z 2) (pow.f64 x 2)) y) |
(/.f64 (+.f64 (pow.f64 z 2) (pow.f64 x 2)) y) |
(/.f64 (+.f64 (pow.f64 z 2) (pow.f64 x 2)) y) |
(/.f64 (+.f64 (pow.f64 z 2) (pow.f64 x 2)) y) |
(/.f64 (+.f64 (pow.f64 z 2) (pow.f64 x 2)) y) |
(/.f64 (+.f64 (pow.f64 z 2) (pow.f64 x 2)) y) |
(/.f64 (+.f64 (pow.f64 z 2) (pow.f64 x 2)) y) |
(/.f64 (+.f64 (pow.f64 z 2) (pow.f64 x 2)) y) |
(/.f64 (+.f64 (pow.f64 z 2) (pow.f64 x 2)) y) |
(*.f64 (pow.f64 1 1/3) (pow.f64 x 2)) |
(+.f64 (*.f64 (pow.f64 1 1/3) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 1 1/3)) (*.f64 2/3 (pow.f64 1 1/3))) (pow.f64 z 2))) |
(+.f64 (*.f64 (pow.f64 1 1/3) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (*.f64 2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))))) (pow.f64 z 4)) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 1 1/3)) (*.f64 2/3 (pow.f64 1 1/3))) (pow.f64 z 2)))) |
(+.f64 (*.f64 (pow.f64 1 1/3) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 10/81 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/3)) (*.f64 -2/27 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/3))) (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3)) (+.f64 (*.f64 5/81 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 4)))) (*.f64 1/3 (*.f64 (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/3)))))) (pow.f64 z 6)) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/3)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (*.f64 2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))))) (pow.f64 z 4)) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 1 1/3)) (*.f64 2/3 (pow.f64 1 1/3))) (pow.f64 z 2))))) |
(*.f64 (pow.f64 1 1/3) (pow.f64 z 2)) |
(+.f64 (*.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 1 1/3)) (*.f64 2/3 (pow.f64 1 1/3))) (pow.f64 x 2))) |
(+.f64 (*.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (*.f64 (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 z 2)))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 z 8)) 1/3)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 z 8)) 1/3)))))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 1 1/3)) (*.f64 2/3 (pow.f64 1 1/3))) (pow.f64 x 2)))) |
(+.f64 (*.f64 (pow.f64 1 1/3) (pow.f64 z 2)) (+.f64 (*.f64 (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 z 2)))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 z 8)) 1/3)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 z 8)) 1/3)))))) (pow.f64 x 4)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 1 1/3)) (*.f64 2/3 (pow.f64 1 1/3))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 z 8)) 1/3)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 z 8)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/3))) (+.f64 (*.f64 5/81 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 z 4)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/3) (+.f64 (*.f64 -2/27 (pow.f64 (/.f64 1 (pow.f64 z 14)) 1/3)) (*.f64 10/81 (pow.f64 (/.f64 1 (pow.f64 z 14)) 1/3)))) (*.f64 -2/27 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 z 4))))))) (pow.f64 x 6))))) |
(pow.f64 x 2) |
(+.f64 (pow.f64 z 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 z 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 z 2) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 z 8) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2))) (*.f64 5/64 (/.f64 1 (pow.f64 x 6))))))) |
(pow.f64 z 2) |
(+.f64 (pow.f64 z 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 z 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 z 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 z 2))) (pow.f64 x 2)))) |
(+.f64 (pow.f64 z 2) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 z 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 6) (pow.f64 z 4))) (*.f64 -1/8 (/.f64 (pow.f64 x 6) (pow.f64 z 4)))))))) |
(pow.f64 z 2) |
(+.f64 (pow.f64 z 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 z 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 z 2))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 z 2))) (pow.f64 x 2)))) |
(+.f64 (pow.f64 z 2) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 z 2))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 x 4) (pow.f64 z 2))) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 6) (pow.f64 z 4))) (*.f64 -1/8 (/.f64 (pow.f64 x 6) (pow.f64 z 4)))))))) |
(pow.f64 z 2) |
(+.f64 (pow.f64 z 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 z 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 z 2) (+.f64 (pow.f64 x 2) (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 z 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 z 6))))) (*.f64 5/64 (/.f64 1 (pow.f64 z 6)))) (pow.f64 x 8)))) |
(pow.f64 x 2) |
(+.f64 (pow.f64 z 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 z 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 4) (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (*.f64 -1/4 (/.f64 (pow.f64 z 4) (pow.f64 x 2)))))) |
(+.f64 (pow.f64 z 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 z 6) (pow.f64 x 4))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 4) (pow.f64 x 2))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 z 6) (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 -1/4 (/.f64 (pow.f64 z 4) (pow.f64 x 2)))))))) |
(pow.f64 x 2) |
(+.f64 (pow.f64 z 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 z 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 4) (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (*.f64 -1/4 (/.f64 (pow.f64 z 4) (pow.f64 x 2)))))) |
(+.f64 (pow.f64 z 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 z 6) (pow.f64 x 4))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 4) (pow.f64 x 2))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 z 6) (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 -1/4 (/.f64 (pow.f64 z 4) (pow.f64 x 2)))))))) |
| Outputs |
|---|
(pow.f64 (pow.f64 x 2) 1/3) |
(cbrt.f64 (*.f64 x x)) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/3) (pow.f64 z 2))) (pow.f64 (pow.f64 x 2) 1/3)) |
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 z z)) (cbrt.f64 (*.f64 x x))) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/3) (pow.f64 z 2))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 10)) 1/3) (pow.f64 z 4))) (pow.f64 (pow.f64 x 2) 1/3))) |
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 z z)) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 10))) (pow.f64 z 4)) (cbrt.f64 (*.f64 x x)))) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/3) (pow.f64 z 2))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 10)) 1/3) (pow.f64 z 4))) (+.f64 (pow.f64 (pow.f64 x 2) 1/3) (*.f64 5/81 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/3) (pow.f64 z 6)))))) |
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 z z)) (+.f64 (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 10))) (pow.f64 z 4)) (cbrt.f64 (*.f64 x x))) (*.f64 (*.f64 5/81 (cbrt.f64 (/.f64 1 (pow.f64 x 16)))) (pow.f64 z 6)))) |
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 z z)) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 10))) (pow.f64 z 4)) (fma.f64 (*.f64 5/81 (cbrt.f64 (/.f64 1 (pow.f64 x 16)))) (pow.f64 z 6) (cbrt.f64 (*.f64 x x))))) |
(pow.f64 (pow.f64 z 2) 1/3) |
(cbrt.f64 (*.f64 z z)) |
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/3) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/3 (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 z 4))))) (cbrt.f64 (*.f64 z z))) |
(fma.f64 1/3 (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 z 4)))) (cbrt.f64 (*.f64 z z))) |
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(fma.f64 x x (fma.f64 (pow.f64 z 6) (fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 14))) 4/81) (+.f64 (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 8)))))) (*.f64 (/.f64 1 (pow.f64 x 4)) -1/81))) (fma.f64 z z (*.f64 (pow.f64 z 4) (fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 8)))) (/.f64 1/9 (*.f64 x x))))))) |
(fma.f64 x x (fma.f64 (pow.f64 z 6) (fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 14))) 4/81) (+.f64 (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 8)))))) (/.f64 -1/81 (pow.f64 x 4)))) (fma.f64 (pow.f64 z 4) (fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 x 8)))) (/.f64 1/9 (*.f64 x x))) (*.f64 z z)))) |
(*.f64 (pow.f64 1 1/3) (pow.f64 z 2)) |
(*.f64 z z) |
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(fma.f64 x x (*.f64 z z)) |
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(fma.f64 z z (fma.f64 (pow.f64 x 4) (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 z 8))) (*.f64 -1/9 (cbrt.f64 (*.f64 z z)))) (*.f64 (/.f64 1 (*.f64 z z)) 1/9)) (fma.f64 x x (*.f64 (pow.f64 x 6) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 z 4))) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 z 8))))) (+.f64 (/.f64 5/81 (pow.f64 z 4)) (fma.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 z 14))) 4/81) (/.f64 -2/27 (pow.f64 z 4))))))))) |
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(pow.f64 x 2) |
(*.f64 x x) |
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(+.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 x x (*.f64 z z)) |
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(fma.f64 x x (*.f64 z z)) |
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(pow.f64 z 2) |
(*.f64 z z) |
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(fma.f64 x x (*.f64 z z)) |
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(fma.f64 x x (*.f64 z z)) |
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(+.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 x x (*.f64 z z)) |
(pow.f64 z 2) |
(*.f64 z z) |
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(fma.f64 x x (*.f64 z z)) |
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(fma.f64 x x (*.f64 z z)) |
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(fma.f64 x x (*.f64 z z)) |
(pow.f64 z 2) |
(*.f64 z z) |
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(+.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 x x (*.f64 z z)) |
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(fma.f64 x x (*.f64 z z)) |
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(fma.f64 z z (fma.f64 x x (*.f64 (pow.f64 x 8) (-.f64 (/.f64 5/64 (pow.f64 z 6)) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 z 3)) 2) (/.f64 1/16 (pow.f64 z 6))))))) |
(fma.f64 z z (fma.f64 (pow.f64 x 8) (+.f64 (neg.f64 (pow.f64 (/.f64 -1/8 (pow.f64 z 3)) 2)) (*.f64 (/.f64 1 (pow.f64 z 6)) 1/64)) (*.f64 x x))) |
(fma.f64 z z (fma.f64 (pow.f64 x 8) (-.f64 (*.f64 (/.f64 1 (pow.f64 z 6)) 1/64) (pow.f64 (/.f64 -1/8 (pow.f64 z 3)) 2)) (*.f64 x x))) |
(pow.f64 x 2) |
(*.f64 x x) |
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(fma.f64 x x (*.f64 z z)) |
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(+.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 x x (*.f64 z z)) |
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(+.f64 (*.f64 z z) (fma.f64 -1/8 (/.f64 (pow.f64 z 6) (pow.f64 x 4)) (fma.f64 1/4 (/.f64 (pow.f64 z 4) (*.f64 x x)) (fma.f64 1/8 (/.f64 (pow.f64 z 6) (pow.f64 x 4)) (+.f64 (*.f64 x x) (*.f64 -1/4 (/.f64 (pow.f64 z 4) (*.f64 x x)))))))) |
(fma.f64 z z (fma.f64 -1/8 (/.f64 (pow.f64 z 6) (pow.f64 x 4)) (fma.f64 1/4 (/.f64 (pow.f64 z 4) (*.f64 x x)) (fma.f64 1/8 (/.f64 (pow.f64 z 6) (pow.f64 x 4)) (fma.f64 x x (*.f64 -1/4 (/.f64 (pow.f64 z 4) (*.f64 x x)))))))) |
(fma.f64 z z (fma.f64 -1/8 (/.f64 (pow.f64 z 6) (pow.f64 x 4)) (+.f64 (fma.f64 1/8 (/.f64 (pow.f64 z 6) (pow.f64 x 4)) (*.f64 x x)) (*.f64 (/.f64 (pow.f64 z 4) (*.f64 x x)) 0)))) |
(fma.f64 z z (fma.f64 -1/8 (/.f64 (pow.f64 z 6) (pow.f64 x 4)) (fma.f64 1/8 (/.f64 (pow.f64 z 6) (pow.f64 x 4)) (*.f64 x x)))) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 z 2) (pow.f64 x 2)) |
(+.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 x x (*.f64 z z)) |
(+.f64 (pow.f64 z 2) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 4) (pow.f64 x 2))) (+.f64 (pow.f64 x 2) (*.f64 -1/4 (/.f64 (pow.f64 z 4) (pow.f64 x 2)))))) |
(+.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 x x (*.f64 z z)) |
(+.f64 (pow.f64 z 2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 z 6) (pow.f64 x 4))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 4) (pow.f64 x 2))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 z 6) (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 -1/4 (/.f64 (pow.f64 z 4) (pow.f64 x 2)))))))) |
(+.f64 (*.f64 z z) (fma.f64 -1/8 (/.f64 (pow.f64 z 6) (pow.f64 x 4)) (fma.f64 1/4 (/.f64 (pow.f64 z 4) (*.f64 x x)) (fma.f64 1/8 (/.f64 (pow.f64 z 6) (pow.f64 x 4)) (+.f64 (*.f64 x x) (*.f64 -1/4 (/.f64 (pow.f64 z 4) (*.f64 x x)))))))) |
(fma.f64 z z (fma.f64 -1/8 (/.f64 (pow.f64 z 6) (pow.f64 x 4)) (fma.f64 1/4 (/.f64 (pow.f64 z 4) (*.f64 x x)) (fma.f64 1/8 (/.f64 (pow.f64 z 6) (pow.f64 x 4)) (fma.f64 x x (*.f64 -1/4 (/.f64 (pow.f64 z 4) (*.f64 x x)))))))) |
(fma.f64 z z (fma.f64 -1/8 (/.f64 (pow.f64 z 6) (pow.f64 x 4)) (+.f64 (fma.f64 1/8 (/.f64 (pow.f64 z 6) (pow.f64 x 4)) (*.f64 x x)) (*.f64 (/.f64 (pow.f64 z 4) (*.f64 x x)) 0)))) |
(fma.f64 z z (fma.f64 -1/8 (/.f64 (pow.f64 z 6) (pow.f64 x 4)) (fma.f64 1/8 (/.f64 (pow.f64 z 6) (pow.f64 x 4)) (*.f64 x x)))) |
Compiled 12312 to 5565 computations (54.8% saved)
16 alts after pruning (13 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 546 | 8 | 554 |
| Fresh | 3 | 5 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 3 | 4 |
| Total | 551 | 16 | 567 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.5b | (*.f64 -1/2 (-.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 3) (+.f64 x z)) y)) |
| 53.9b | (*.f64 (*.f64 z z) (/.f64 -1/2 y)) | |
| 53.9b | (/.f64 (*.f64 z (neg.f64 z)) (*.f64 y 2)) | |
| ✓ | 12.8b | (*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)) |
| 47.5b | (/.f64 (*.f64 y y) (*.f64 y 2)) | |
| ✓ | 25.8b | (*.f64 1/2 y) |
| 13.8b | (*.f64 -1/2 (-.f64 (/.f64 1 (/.f64 y (-.f64 (*.f64 z z) (*.f64 x x)))) y)) | |
| 13.1b | (*.f64 -1/2 (-.f64 (*.f64 x (/.f64 (neg.f64 x) y)) y)) | |
| 13.8b | (*.f64 -1/2 (pow.f64 (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) 3)) | |
| ▶ | 24.9b | (*.f64 -1/2 (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) (*.f64 (-.f64 x z) y)) y)) |
| ▶ | 49.4b | (*.f64 (/.f64 x (*.f64 y 2)) x) |
| ✓ | 0.1b | (*.f64 -1/2 (-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y)) |
| ▶ | 12.9b | (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) |
| 56.2b | (pow.f64 (/.f64 x (sqrt.f64 (*.f64 y 2))) 2) | |
| 52.7b | (*.f64 (/.f64 1/2 y) (*.f64 x x)) | |
| ▶ | 49.3b | (*.f64 1/2 (/.f64 x (/.f64 y x))) |
Compiled 380 to 261 computations (31.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (-.f64 z x) y) | |
| ✓ | 0.2b | (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 3) (+.f64 x z)) |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 3) |
| ✓ | 3.9b | (cbrt.f64 (/.f64 (-.f64 z x) y)) |
Compiled 75 to 24 computations (68% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | 0 | (pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 3) |
| 5.0ms | y | @ | -inf | (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 3) (+.f64 x z)) |
| 3.0ms | x | @ | 0 | (cbrt.f64 (/.f64 (-.f64 z x) y)) |
| 3.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 3) |
| 2.0ms | z | @ | 0 | (cbrt.f64 (/.f64 (-.f64 z x) y)) |
| 1× | batch-egg-rewrite |
| 625× | log-prod_binary64 |
| 395× | fma-def_binary64 |
| 318× | pow2_binary64 |
| 221× | pow1/3_binary64 |
| 213× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 29 |
| 1 | 261 | 29 |
| 2 | 3712 | 29 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (/.f64 (-.f64 z x) y)) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 3) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 3) (+.f64 x z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 z x)) (/.f64 1 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 z x) y) 1/6) (pow.f64 (/.f64 (-.f64 z x) y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (-.f64 z x))) (cbrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (-.f64 z x))) (neg.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 z x) y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 z x) y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (-.f64 z x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 z x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 z x) y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 z y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 z x) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 z x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 z y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 z x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 z x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 z x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 z x) 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| 1× | egg-herbie |
| 411× | times-frac_binary64 |
| 408× | associate-+l+_binary64 |
| 392× | associate-+r+_binary64 |
| 384× | distribute-rgt-in_binary64 |
| 383× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 253 | 2534 |
| 1 | 826 | 2259 |
| 2 | 2963 | 2119 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 1 x) y) 1/3) (cbrt.f64 -1)) |
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) y) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) z)))) |
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) y) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 11) (pow.f64 x 7))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 z 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) z))))) |
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) y) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 11) (pow.f64 x 7))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 z 2)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 2)) (pow.f64 x 2)) 1/3) (/.f64 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (pow.f64 z 3)) (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) z)))))) |
(pow.f64 (/.f64 z y) 1/3) |
(+.f64 (pow.f64 (/.f64 z y) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/9) x))) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 z 7))) 1/9) (pow.f64 x 2))) (+.f64 (pow.f64 (/.f64 z y) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/9) x)))) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 z 7))) 1/9) (pow.f64 x 2))) (+.f64 (pow.f64 (/.f64 z y) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/9) x)) (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/3)) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/3)))) (pow.f64 x 3)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 2)) (pow.f64 z 2)) 1/3)))))) |
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 x y))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 4)) (pow.f64 y 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 4)) (pow.f64 y 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) z) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 x y)))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 4)) (pow.f64 y 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 4)) (pow.f64 y 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) z) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 17) x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) y) 1/3) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 14) (pow.f64 x 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 14) (pow.f64 x 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 17) x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (pow.f64 z 2)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 x y))))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 4)) (pow.f64 y 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 4)) (pow.f64 y 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) z) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 17) x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) y) 1/3) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 14) (pow.f64 x 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 14) (pow.f64 x 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 17) x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (pow.f64 z 2)) (+.f64 (*.f64 (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 14) (pow.f64 x 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 14) (pow.f64 x 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))))) (*.f64 (pow.f64 (/.f64 (*.f64 1 x) y) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 y) x) 1/3) (/.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (cbrt.f64 -1)))) (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (*.f64 (pow.f64 y 2) x)))))))))) (pow.f64 z 3)) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 x y)))))) |
(*.f64 (pow.f64 1 1/3) (/.f64 z y)) |
(+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 z y)) (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 z 4)) (pow.f64 y 13)) 1/9)) (*.f64 -2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 z 4)) (pow.f64 y 13)) 1/9))) x)) |
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 z 4))) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 z 4))) 1/9))) (pow.f64 (/.f64 (*.f64 1 z) y) 1/3)) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 17) z)) 1/9)) (*.f64 -1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 17) z)) 1/9)))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 z y)) (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 z 4)) (pow.f64 y 13)) 1/9)) (*.f64 -2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 z 4)) (pow.f64 y 13)) 1/9))) x))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/3)) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/3)))) (pow.f64 1 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 z 4))) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 z 4))) 1/9))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/9))) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/3))) (*.f64 (pow.f64 (/.f64 (*.f64 1 z) y) 1/3) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (*.f64 (pow.f64 y 2) z)))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 y) z) 1/3) (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/3)) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/3))))))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 z 4))) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 z 4))) 1/9))) (pow.f64 (/.f64 (*.f64 1 z) y) 1/3)) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 17) z)) 1/9)) (*.f64 -1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 17) z)) 1/9)))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 z y)) (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 z 4)) (pow.f64 y 13)) 1/9)) (*.f64 -2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 z 4)) (pow.f64 y 13)) 1/9))) x)))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (/.f64 (*.f64 z (+.f64 (*.f64 -1 x) x)) y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (/.f64 (*.f64 z (+.f64 (*.f64 -1 x) x)) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(+.f64 (/.f64 (*.f64 z (+.f64 (*.f64 -1 x) x)) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 1 x) y) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 -1)) |
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) y) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) z)))) |
(fma.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 -1) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 x x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 x x)) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) z)))) |
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 y 7)))) 1/18) (pow.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 y 7)))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) z)) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 -1))) |
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 x x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 x x)) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) z)) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 -1))) |
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) y) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 11) (pow.f64 x 7))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 z 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) z))))) |
(fma.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 -1) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 x 7))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 z z))) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 x x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 7)) (*.f64 x x)) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) z))))) |
(fma.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 y 7)))) 1/18) (pow.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 y 7)))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) z)) (*.f64 (*.f64 z (*.f64 z (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 x 7))) 1/18)))))) |
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(fma.f64 (*.f64 x x) (fma.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 14)) (pow.f64 z 4)) 1/18) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 14)) (pow.f64 z 4)) 1/18) -1/9)) (cbrt.f64 (/.f64 z y)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 17)) z) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 17)) z) 1/18)))) (fma.f64 x (neg.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 13)) 1/18) (pow.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 13)) 1/18))) (/.f64 z y))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/3)) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/3)))) (pow.f64 1 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 z 4))) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 z 4))) 1/9))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/9))) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/3))) (*.f64 (pow.f64 (/.f64 (*.f64 1 z) y) 1/3) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (*.f64 (pow.f64 y 2) z)))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 y) z) 1/3) (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/3)) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/3))))))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 z 4))) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 z 4))) 1/9))) (pow.f64 (/.f64 (*.f64 1 z) y) 1/3)) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 17) z)) 1/9)) (*.f64 -1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 17) z)) 1/9)))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 z y)) (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 z 4)) (pow.f64 y 13)) 1/9)) (*.f64 -2/3 (pow.f64 (/.f64 (*.f64 1 (pow.f64 z 4)) (pow.f64 y 13)) 1/9))) x)))) |
(fma.f64 (fma.f64 -1/3 (*.f64 1 (fma.f64 -1/27 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 z z)))) (*.f64 2/9 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 z z))))))) (fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 z z))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 z z))) 1/18)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 z 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 z 4))) 1/18)) -1/9)) (+.f64 (*.f64 2/27 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 z z))))) (*.f64 (cbrt.f64 (/.f64 z y)) (fma.f64 2/27 (/.f64 1 (*.f64 z (*.f64 y y))) (*.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 y z))) (fma.f64 -1/27 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 z z)))) (*.f64 2/9 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 z z)))))))))))) (pow.f64 x 3) (fma.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 z 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 14) (pow.f64 z 4))) 1/18)) -1/9) (cbrt.f64 (/.f64 z y)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 z (pow.f64 y 17))) 1/18) (pow.f64 (/.f64 1 (*.f64 z (pow.f64 y 17))) 1/18)) 1/9)) (*.f64 x x) (+.f64 (/.f64 z y) (*.f64 x (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 13)) 1/18) (pow.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 13)) 1/18)) -1))))) |
(fma.f64 (pow.f64 x 3) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 z z)))) 5/27) (fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 z z))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 z z))) 1/18)) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 14)) (pow.f64 z 4)) 1/18) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 14)) (pow.f64 z 4)) 1/18) -1/9))) (fma.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 z z)))) 2/27 (*.f64 (cbrt.f64 (/.f64 z y)) (fma.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 y z))) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 z z)))) 5/27) (/.f64 2/27 (*.f64 y (*.f64 y z)))))))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 14)) (pow.f64 z 4)) 1/18) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 14)) (pow.f64 z 4)) 1/18) -1/9)) (cbrt.f64 (/.f64 z y)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 17)) z) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 17)) z) 1/18)))) (fma.f64 x (*.f64 (pow.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 13)) 1/18) (*.f64 (pow.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 13)) 1/18) -1)) (/.f64 z y)))) |
(fma.f64 (pow.f64 x 3) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 1 z) z) (pow.f64 y 7))) 5/27) (fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (/.f64 1 z) z) (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 (/.f64 (/.f64 1 z) z) (pow.f64 y 7)) 1/18)) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 14)) (pow.f64 z 4)) 1/18) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 14)) (pow.f64 z 4)) 1/18) -1/9))) (fma.f64 (cbrt.f64 (/.f64 z y)) (fma.f64 -2/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 y z)) (cbrt.f64 (/.f64 (/.f64 (/.f64 1 z) z) (pow.f64 y 7)))) 5/27) (/.f64 (/.f64 2/27 y) (*.f64 y z))) (*.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 1 z) z) (pow.f64 y 7))) 2/27)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 14)) (pow.f64 z 4)) 1/18) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 14)) (pow.f64 z 4)) 1/18) -1/9)) (cbrt.f64 (/.f64 z y)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 17)) z) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 17)) z) 1/18)))) (fma.f64 x (neg.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 13)) 1/18) (pow.f64 (/.f64 (pow.f64 z 4) (pow.f64 y 13)) 1/18))) (/.f64 z y)))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (neg.f64 x) x) y) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (neg.f64 x) x) y) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 x (/.f64 y x))) |
(-.f64 (/.f64 z (/.f64 y z)) (*.f64 x (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 x (/.f64 y x))) |
(-.f64 (/.f64 z (/.f64 y z)) (*.f64 x (/.f64 x y))) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 x (/.f64 y x))) |
(-.f64 (/.f64 z (/.f64 y z)) (*.f64 x (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 x (/.f64 y x))) |
(-.f64 (/.f64 z (/.f64 y z)) (*.f64 x (/.f64 x y))) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(+.f64 (/.f64 (*.f64 z (+.f64 (*.f64 -1 x) x)) y) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(+.f64 (/.f64 (*.f64 z (+.f64 (*.f64 -1 x) x)) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 x (/.f64 y x))) |
(-.f64 (/.f64 z (/.f64 y z)) (*.f64 x (/.f64 x y))) |
(+.f64 (/.f64 (*.f64 z (+.f64 (*.f64 -1 x) x)) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 x (/.f64 y x))) |
(-.f64 (/.f64 z (/.f64 y z)) (*.f64 x (/.f64 x y))) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 x (/.f64 y x))) |
(-.f64 (/.f64 z (/.f64 y z)) (*.f64 x (/.f64 x y))) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 x (/.f64 y x))) |
(-.f64 (/.f64 z (/.f64 y z)) (*.f64 x (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (neg.f64 x) x) y) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (neg.f64 x) x) y) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 x (/.f64 y x))) |
(-.f64 (/.f64 z (/.f64 y z)) (*.f64 x (/.f64 x y))) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 x (/.f64 y x))) |
(-.f64 (/.f64 z (/.f64 y z)) (*.f64 x (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (neg.f64 x) x) y) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (neg.f64 x) x) y) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 x (/.f64 y x))) |
(-.f64 (/.f64 z (/.f64 y z)) (*.f64 x (/.f64 x y))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 0 (/.f64 x y)) z (/.f64 (*.f64 z z) y))) |
(-.f64 (fma.f64 z 0 (/.f64 z (/.f64 y z))) (/.f64 x (/.f64 y x))) |
(-.f64 (/.f64 z (/.f64 y z)) (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 x z)) y) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 x z)) y) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 x z)) y) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 x z)) y) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 x z)) y) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 x z)) y) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 x z)) y) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 x z)) y) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 x z)) y) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 x z)) y) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 x z)) y) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 x z)) y) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
(*.f64 (-.f64 z x) (/.f64 (+.f64 x z) y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 x (/.f64 y x)) |
Compiled 21 to 8 computations (61.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 x (/.f64 y x)) |
| 1.0ms | y | @ | -inf | (/.f64 x (/.f64 y x)) |
| 0.0ms | x | @ | 0 | (/.f64 x (/.f64 y x)) |
| 0.0ms | x | @ | -inf | (/.f64 x (/.f64 y x)) |
| 0.0ms | y | @ | inf | (/.f64 x (/.f64 y x)) |
| 1× | batch-egg-rewrite |
| 637× | pow1_binary64 |
| 592× | add-log-exp_binary64 |
| 592× | log1p-expm1-u_binary64 |
| 592× | expm1-log1p-u_binary64 |
| 578× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 110 | 7 |
| 2 | 1605 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (/.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x y))))) (#(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 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.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 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 x (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 x (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(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 pow.f64 (/.f64 y (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (neg.f64 y) x)))))) (#(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 (pow.f64 (exp.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)))))))) |
| 1× | egg-herbie |
| 759× | sqr-pow_binary64 |
| 434× | unswap-sqr_binary64 |
| 423× | *-commutative_binary64 |
| 423× | associate-*r/_binary64 |
| 393× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 168 |
| 1 | 11 | 168 |
| 2 | 20 | 168 |
| 3 | 37 | 168 |
| 4 | 83 | 168 |
| 5 | 266 | 168 |
| 6 | 1091 | 168 |
| 7 | 3478 | 168 |
| 8 | 4280 | 168 |
| 9 | 4465 | 168 |
| 10 | 4681 | 168 |
| 11 | 5028 | 168 |
| 12 | 5456 | 168 |
| 13 | 5935 | 168 |
| 14 | 6584 | 168 |
| 15 | 7273 | 168 |
| 1× | node limit |
| Inputs |
|---|
(/.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 (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 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 x (*.f64 y 2)) x) |
Compiled 21 to 13 computations (38.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | (*.f64 (/.f64 x (*.f64 y 2)) x) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 x (*.f64 y 2)) x) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 x (*.f64 y 2)) x) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 x (*.f64 y 2)) x) |
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 x (*.f64 y 2)) x) |
| 1× | batch-egg-rewrite |
| 792× | pow1_binary64 |
| 736× | add-log-exp_binary64 |
| 736× | log1p-expm1-u_binary64 |
| 736× | expm1-log1p-u_binary64 |
| 721× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 148 | 10 |
| 2 | 1964 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x (*.f64 y 2)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y 2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x x)) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) x) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) 2) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) 1) (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (cbrt.f64 (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 y 2))) (sqrt.f64 (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (*.f64 y 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (sqrt.f64 (exp.f64 (/.f64 x y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 1/2 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))))))) |
| 1× | egg-herbie |
| 715× | associate-/l/_binary64 |
| 524× | associate-*l*_binary64 |
| 508× | *-commutative_binary64 |
| 470× | sqr-pow_binary64 |
| 446× | associate-*l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 240 |
| 1 | 16 | 240 |
| 2 | 30 | 240 |
| 3 | 61 | 240 |
| 4 | 166 | 240 |
| 5 | 608 | 240 |
| 6 | 2641 | 240 |
| 7 | 3711 | 240 |
| 8 | 3921 | 240 |
| 9 | 4141 | 240 |
| 10 | 4369 | 240 |
| 11 | 4706 | 240 |
| 12 | 6267 | 240 |
| 13 | 6934 | 240 |
| 14 | 7732 | 240 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 z (/.f64 y z)) y) |
| ✓ | 0.2b | (/.f64 z (/.f64 y z)) |
Compiled 30 to 9 computations (70% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | (/.f64 z (/.f64 y z)) |
| 0.0ms | z | @ | 0 | (/.f64 z (/.f64 y z)) |
| 0.0ms | z | @ | 0 | (-.f64 (/.f64 z (/.f64 y z)) y) |
| 0.0ms | z | @ | inf | (/.f64 z (/.f64 y z)) |
| 0.0ms | z | @ | -inf | (-.f64 (/.f64 z (/.f64 y z)) y) |
| 1× | batch-egg-rewrite |
| 890× | pow1_binary64 |
| 832× | add-log-exp_binary64 |
| 832× | log1p-expm1-u_binary64 |
| 832× | expm1-log1p-u_binary64 |
| 813× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 1 | 141 | 17 |
| 2 | 2243 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 z (/.f64 y z)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (/.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (/.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 z y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 z y))) 2) (cbrt.f64 (*.f64 z (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (/.f64 z y))) (sqrt.f64 (*.f64 z (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 1 (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 z (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (/.f64 (cbrt.f64 z) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 z (cbrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (*.f64 z (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y z))) (/.f64 z (sqrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y z))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (neg.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 z z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 z (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 z y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (/.f64 z y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (/.f64 z y)) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 z (/.f64 z y)) y) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 z (/.f64 z y)) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 z (/.f64 z y)) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (*.f64 z (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 z (/.f64 z y)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 z (/.f64 z y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) 2) (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) (sqrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y (fma.f64 z (/.f64 z y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y y)) (/.f64 1 (fma.f64 z (/.f64 z y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 z (/.f64 z y))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (*.f64 z (/.f64 z y))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y (fma.f64 z (/.f64 z y) y))) (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z (/.f64 z y) y) (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y (fma.f64 z (/.f64 z y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y y)) (fma.f64 z (/.f64 z y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y (fma.f64 z (/.f64 z y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y y))) (neg.f64 (fma.f64 z (/.f64 z y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (*.f64 z (/.f64 z y)) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (*.f64 z (/.f64 z y)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 z (/.f64 z y)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 z (/.f64 z y)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 z (/.f64 z y)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 z (/.f64 z y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 z (/.f64 z y)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 z (/.f64 z y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 z (/.f64 z y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 z (/.f64 z y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (/.f64 z y) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (/.f64 z y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 z y))) 2) (cbrt.f64 (*.f64 z (/.f64 z y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (/.f64 z y))) (sqrt.f64 (*.f64 z (/.f64 z y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z y) z (neg.f64 y)))))) |
| 1× | egg-herbie |
| 563× | div-sub_binary64 |
| 547× | associate-/r/_binary64 |
| 440× | fma-neg_binary64 |
| 434× | unswap-sqr_binary64 |
| 392× | associate-/r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 396 |
| 1 | 18 | 378 |
| 2 | 30 | 378 |
| 3 | 52 | 378 |
| 4 | 111 | 378 |
| 5 | 350 | 378 |
| 6 | 1583 | 378 |
| 7 | 5645 | 378 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
| Outputs |
|---|
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 y (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (-.f64 x z) y) |
| ✓ | 0.1b | (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) |
| ✓ | 0.5b | (-.f64 (*.f64 x x) (*.f64 z z)) |
| ✓ | 27.5b | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) (*.f64 (-.f64 x z) y)) |
Compiled 99 to 15 computations (84.8% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) (*.f64 (-.f64 x z) y)) |
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) (*.f64 (-.f64 x z) y)) |
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) (*.f64 (-.f64 x z) y)) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) (*.f64 (-.f64 x z) y)) |
| 1.0ms | z | @ | 0 | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) (*.f64 (-.f64 x z) y)) |
| 1× | batch-egg-rewrite |
| 824× | fma-def_binary64 |
| 347× | fma-neg_binary64 |
| 257× | expm1-udef_binary64 |
| 257× | log1p-udef_binary64 |
| 254× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 58 |
| 1 | 287 | 46 |
| 2 | 4878 | 46 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) (*.f64 (-.f64 x z) y)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) |
(*.f64 (-.f64 x z) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 x z) (/.f64 (-.f64 z x) y))) (/.f64 (*.f64 z z) (/.f64 (-.f64 x z) (/.f64 (-.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 1 (/.f64 (-.f64 x z) (/.f64 (-.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 (-.f64 z x) (/.f64 1 (*.f64 (-.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 z x) (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 1 (*.f64 (-.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) (/.f64 1 (*.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (-.f64 z x) y) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x (+.f64 x z) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (*.f64 x x) (*.f64 z z))) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (fma.f64 x (+.f64 x z) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 x z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 x z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 x z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 x z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 x z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 x z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 x z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x z) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 y (neg.f64 z))))))) |
| 1× | egg-herbie |
| 638× | fma-def_binary64 |
| 571× | div-sub_binary64 |
| 363× | fma-neg_binary64 |
| 354× | unswap-sqr_binary64 |
| 348× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 1512 |
| 1 | 118 | 1368 |
| 2 | 315 | 1308 |
| 3 | 1055 | 1236 |
| 4 | 5397 | 1176 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(*.f64 -1 (pow.f64 z 2)) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) |
(*.f64 -1 (pow.f64 z 2)) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) |
(*.f64 -1 (pow.f64 z 2)) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) |
(*.f64 -1 (pow.f64 z 3)) |
(+.f64 (*.f64 -1 (pow.f64 z 3)) (*.f64 (pow.f64 z 2) x)) |
(+.f64 (*.f64 -1 (pow.f64 z 3)) (+.f64 (*.f64 (pow.f64 z 2) x) (*.f64 z (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 z 3)) (+.f64 (*.f64 (pow.f64 z 2) x) (*.f64 z (pow.f64 x 2))))) |
(*.f64 -1 (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 z (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 z 2) x) (*.f64 z (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (pow.f64 z 3)) (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 z 2) x) (*.f64 z (pow.f64 x 2))))) |
(*.f64 -1 (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 z (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 z 2) x) (*.f64 z (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (pow.f64 z 3)) (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 z 2) x) (*.f64 z (pow.f64 x 2))))) |
(*.f64 -1 (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 z (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 z 2) x) (*.f64 z (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (pow.f64 z 3)) (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 z 2) x) (*.f64 z (pow.f64 x 2))))) |
(*.f64 -1 (pow.f64 z 3)) |
(+.f64 (*.f64 -1 (pow.f64 z 3)) (*.f64 (pow.f64 z 2) x)) |
(+.f64 (*.f64 -1 (pow.f64 z 3)) (+.f64 (*.f64 (pow.f64 z 2) x) (*.f64 z (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 z 3)) (+.f64 (*.f64 (pow.f64 z 2) x) (*.f64 z (pow.f64 x 2))))) |
(*.f64 -1 (pow.f64 z 3)) |
(+.f64 (*.f64 -1 (pow.f64 z 3)) (*.f64 (pow.f64 z 2) x)) |
(+.f64 (*.f64 -1 (pow.f64 z 3)) (+.f64 (*.f64 (pow.f64 z 2) x) (*.f64 z (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 z 3)) (+.f64 (*.f64 (pow.f64 z 2) x) (*.f64 z (pow.f64 x 2))))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(*.f64 -1 (*.f64 y z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (-.f64 x z)) |
| Outputs |
|---|
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 z (/.f64 z y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) |
(-.f64 (/.f64 z (/.f64 y z)) (*.f64 (/.f64 x y) x)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (-.f64 z x) (/.f64 (+.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) |
(-.f64 (/.f64 z (/.f64 y z)) (*.f64 (/.f64 x y) x)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (-.f64 z x) (/.f64 (+.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) |
(-.f64 (/.f64 z (/.f64 y z)) (*.f64 (/.f64 x y) x)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (-.f64 z x) (/.f64 (+.f64 z x) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (neg.f64 x) x) y) |
(/.f64 (neg.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) |
(-.f64 (/.f64 z (/.f64 y z)) (*.f64 (/.f64 x y) x)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (-.f64 z x) (/.f64 (+.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) |
(-.f64 (/.f64 z (/.f64 y z)) (*.f64 (/.f64 x y) x)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (-.f64 z x) (/.f64 (+.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) |
(-.f64 (/.f64 z (/.f64 y z)) (*.f64 (/.f64 x y) x)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (-.f64 z x) (/.f64 (+.f64 z x) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (neg.f64 x) x) y) |
(/.f64 (neg.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) |
(-.f64 (/.f64 z (/.f64 y z)) (*.f64 (/.f64 x y) x)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (-.f64 z x) (/.f64 (+.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) |
(-.f64 (/.f64 z (/.f64 y z)) (*.f64 (/.f64 x y) x)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (-.f64 z x) (/.f64 (+.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x))) |
(-.f64 (/.f64 z (/.f64 y z)) (*.f64 (/.f64 x y) x)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (-.f64 z x) (/.f64 (+.f64 z x) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (neg.f64 x) x) y) |
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(fma.f64 -1 (pow.f64 x 3) (*.f64 z (*.f64 x x))) |
(-.f64 (*.f64 z (*.f64 x x)) (pow.f64 x 3)) |
(*.f64 x (*.f64 x (-.f64 z x))) |
(*.f64 (*.f64 x x) (-.f64 z x)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 z 2) x) (*.f64 z (pow.f64 x 2)))) |
(fma.f64 -1 (pow.f64 x 3) (fma.f64 (*.f64 z z) x (*.f64 z (*.f64 x x)))) |
(-.f64 (fma.f64 z (*.f64 x x) (*.f64 (*.f64 z z) x)) (pow.f64 x 3)) |
(fma.f64 z (*.f64 z x) (*.f64 x (*.f64 x (-.f64 z x)))) |
(*.f64 x (-.f64 (*.f64 z (+.f64 z x)) (*.f64 x x))) |
(-.f64 (*.f64 z (*.f64 x (+.f64 z x))) (pow.f64 x 3)) |
(+.f64 (*.f64 -1 (pow.f64 z 3)) (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 z 2) x) (*.f64 z (pow.f64 x 2))))) |
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (pow.f64 z 3) (fma.f64 (*.f64 z z) x (*.f64 z (*.f64 x x))))) |
(-.f64 (-.f64 (fma.f64 z (*.f64 x x) (*.f64 (*.f64 z z) x)) (pow.f64 z 3)) (pow.f64 x 3)) |
(+.f64 (*.f64 (*.f64 z z) (-.f64 x z)) (*.f64 x (*.f64 x (-.f64 z x)))) |
(*.f64 (-.f64 z x) (-.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 (-.f64 x z) (*.f64 (-.f64 z x) (+.f64 z x))) |
(*.f64 -1 (pow.f64 z 3)) |
(neg.f64 (pow.f64 z 3)) |
(+.f64 (*.f64 -1 (pow.f64 z 3)) (*.f64 (pow.f64 z 2) x)) |
(fma.f64 -1 (pow.f64 z 3) (*.f64 (*.f64 z z) x)) |
(-.f64 (*.f64 (*.f64 z z) x) (pow.f64 z 3)) |
(*.f64 (*.f64 z z) (-.f64 x z)) |
(*.f64 z (*.f64 z (-.f64 x z))) |
(+.f64 (*.f64 -1 (pow.f64 z 3)) (+.f64 (*.f64 (pow.f64 z 2) x) (*.f64 z (pow.f64 x 2)))) |
(fma.f64 -1 (pow.f64 z 3) (fma.f64 (*.f64 z z) x (*.f64 z (*.f64 x x)))) |
(-.f64 (fma.f64 z (*.f64 x x) (*.f64 (*.f64 z z) x)) (pow.f64 z 3)) |
(fma.f64 z (*.f64 x x) (*.f64 (*.f64 z z) (-.f64 x z))) |
(-.f64 (*.f64 z (*.f64 x (+.f64 z x))) (pow.f64 z 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 z 3)) (+.f64 (*.f64 (pow.f64 z 2) x) (*.f64 z (pow.f64 x 2))))) |
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (pow.f64 z 3) (fma.f64 (*.f64 z z) x (*.f64 z (*.f64 x x))))) |
(-.f64 (-.f64 (fma.f64 z (*.f64 x x) (*.f64 (*.f64 z z) x)) (pow.f64 z 3)) (pow.f64 x 3)) |
(+.f64 (*.f64 (*.f64 z z) (-.f64 x z)) (*.f64 x (*.f64 x (-.f64 z x)))) |
(*.f64 (-.f64 z x) (-.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 (-.f64 x z) (*.f64 (-.f64 z x) (+.f64 z x))) |
(*.f64 -1 (pow.f64 z 3)) |
(neg.f64 (pow.f64 z 3)) |
(+.f64 (*.f64 -1 (pow.f64 z 3)) (*.f64 (pow.f64 z 2) x)) |
(fma.f64 -1 (pow.f64 z 3) (*.f64 (*.f64 z z) x)) |
(-.f64 (*.f64 (*.f64 z z) x) (pow.f64 z 3)) |
(*.f64 (*.f64 z z) (-.f64 x z)) |
(*.f64 z (*.f64 z (-.f64 x z))) |
(+.f64 (*.f64 -1 (pow.f64 z 3)) (+.f64 (*.f64 (pow.f64 z 2) x) (*.f64 z (pow.f64 x 2)))) |
(fma.f64 -1 (pow.f64 z 3) (fma.f64 (*.f64 z z) x (*.f64 z (*.f64 x x)))) |
(-.f64 (fma.f64 z (*.f64 x x) (*.f64 (*.f64 z z) x)) (pow.f64 z 3)) |
(fma.f64 z (*.f64 x x) (*.f64 (*.f64 z z) (-.f64 x z))) |
(-.f64 (*.f64 z (*.f64 x (+.f64 z x))) (pow.f64 z 3)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 z 3)) (+.f64 (*.f64 (pow.f64 z 2) x) (*.f64 z (pow.f64 x 2))))) |
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (pow.f64 z 3) (fma.f64 (*.f64 z z) x (*.f64 z (*.f64 x x))))) |
(-.f64 (-.f64 (fma.f64 z (*.f64 x x) (*.f64 (*.f64 z z) x)) (pow.f64 z 3)) (pow.f64 x 3)) |
(+.f64 (*.f64 (*.f64 z z) (-.f64 x z)) (*.f64 x (*.f64 x (-.f64 z x)))) |
(*.f64 (-.f64 z x) (-.f64 (*.f64 x x) (*.f64 z z))) |
(*.f64 (-.f64 x z) (*.f64 (-.f64 z x) (+.f64 z x))) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 z y)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(*.f64 y x) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y x)) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 z y)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(*.f64 -1 (*.f64 y z)) |
(neg.f64 (*.f64 z y)) |
(*.f64 z (neg.f64 y)) |
(*.f64 y (neg.f64 z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 y z))) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(*.f64 y (-.f64 x z)) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
(*.f64 y (-.f64 x z)) |
(fma.f64 y x (neg.f64 (*.f64 z y))) |
Compiled 21274 to 8263 computations (61.2% saved)
17 alts after pruning (11 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 800 | 5 | 805 |
| Fresh | 2 | 6 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 6 | 7 |
| Total | 804 | 17 | 821 |
| Status | Error | Program |
|---|---|---|
| 53.9b | (/.f64 (*.f64 z (neg.f64 z)) (*.f64 y 2)) | |
| ▶ | 53.9b | (*.f64 (*.f64 z z) (/.f64 -1/2 y)) |
| ▶ | 13.1b | (*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) |
| ✓ | 49.4b | (*.f64 (/.f64 x (*.f64 y 2)) x) |
| ✓ | 12.8b | (*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)) |
| ▶ | 47.5b | (/.f64 (*.f64 y y) (*.f64 y 2)) |
| ✓ | 25.8b | (*.f64 1/2 y) |
| ▶ | 24.0b | (*.f64 -1/2 (-.f64 (*.f64 (/.f64 1 (-.f64 x z)) (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) y)) y)) |
| ✓ | 49.3b | (*.f64 1/2 (/.f64 x (/.f64 y x))) |
| 20.1b | (*.f64 -1/2 (-.f64 (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 z))) y)) | |
| ✓ | 0.1b | (*.f64 -1/2 (-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y)) |
| ✓ | 12.9b | (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) |
| 56.2b | (pow.f64 (/.f64 x (sqrt.f64 (*.f64 y 2))) 2) | |
| 52.7b | (*.f64 (/.f64 1/2 y) (*.f64 x x)) | |
| 13.8b | (*.f64 -1/2 (pow.f64 (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) 3)) | |
| ▶ | 52.7b | (/.f64 1 (/.f64 (*.f64 y 2) (*.f64 x x))) |
| 57.1b | (*.f64 1/2 (*.f64 (*.f64 (/.f64 x y) (sqrt.f64 x)) (sqrt.f64 x))) |
Compiled 362 to 253 computations (30.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 x y) (neg.f64 x)) |
Compiled 35 to 10 computations (71.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (/.f64 x y) (neg.f64 x)) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 x y) (neg.f64 x)) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 x y) (neg.f64 x)) |
| 1.0ms | y | @ | -inf | (*.f64 (/.f64 x y) (neg.f64 x)) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 x y) (neg.f64 x)) |
| 1× | batch-egg-rewrite |
| 581× | pow1_binary64 |
| 537× | add-log-exp_binary64 |
| 536× | log1p-expm1-u_binary64 |
| 536× | expm1-log1p-u_binary64 |
| 525× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 130 | 7 |
| 2 | 1863 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x y) (neg.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 (*.f64 x 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 (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 (/.f64 x (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (/.f64 x y)))))) (#(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 (pow.f64 (exp.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)))))))) |
| 1× | egg-herbie |
| 703× | fma-neg_binary64 |
| 640× | distribute-lft-neg-in_binary64 |
| 633× | distribute-rgt-neg-in_binary64 |
| 499× | associate-*l*_binary64 |
| 462× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 216 |
| 1 | 17 | 216 |
| 2 | 34 | 216 |
| 3 | 68 | 216 |
| 4 | 187 | 216 |
| 5 | 676 | 216 |
| 6 | 2935 | 216 |
| 7 | 4962 | 216 |
| 8 | 7505 | 216 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.f64 x x)) y) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 10.5b | (*.f64 (*.f64 z z) (/.f64 -1/2 y)) |
Compiled 19 to 10 computations (47.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (*.f64 (*.f64 z z) (/.f64 -1/2 y)) |
| 1.0ms | z | @ | inf | (*.f64 (*.f64 z z) (/.f64 -1/2 y)) |
| 0.0ms | y | @ | -inf | (*.f64 (*.f64 z z) (/.f64 -1/2 y)) |
| 0.0ms | y | @ | inf | (*.f64 (*.f64 z z) (/.f64 -1/2 y)) |
| 0.0ms | y | @ | 0 | (*.f64 (*.f64 z z) (/.f64 -1/2 y)) |
| 1× | batch-egg-rewrite |
| 705× | pow1_binary64 |
| 656× | add-log-exp_binary64 |
| 655× | log1p-expm1-u_binary64 |
| 655× | expm1-log1p-u_binary64 |
| 641× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 150 | 10 |
| 2 | 1845 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 z z) (/.f64 -1/2 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 z z) (*.f64 y -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z z) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (*.f64 z z) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z z) -1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 z z) -1/2)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 z z) -1/2) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 z z) -1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 z z) -1/2) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 z z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z z) 1/2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z z) (*.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 z z) (*.f64 y -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 z z) (*.f64 y -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sqrt.f64 (/.f64 -1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 z z) (*.f64 y -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 z z) (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 z z) (*.f64 y -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 z z) 3) (pow.f64 (/.f64 -1/2 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1/2 y) 3) (pow.f64 (*.f64 z z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 z z) (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 z z) (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 z z) (*.f64 y -2)))))))) |
| 1× | egg-herbie |
| 682× | associate-/l/_binary64 |
| 528× | associate-*l*_binary64 |
| 493× | *-commutative_binary64 |
| 470× | sqr-pow_binary64 |
| 437× | associate-*l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 240 |
| 1 | 16 | 240 |
| 2 | 31 | 240 |
| 3 | 62 | 240 |
| 4 | 169 | 240 |
| 5 | 615 | 240 |
| 6 | 2654 | 240 |
| 7 | 3723 | 240 |
| 8 | 3933 | 240 |
| 9 | 4152 | 240 |
| 10 | 4380 | 240 |
| 11 | 4718 | 240 |
| 12 | 6225 | 240 |
| 13 | 6892 | 240 |
| 14 | 7688 | 240 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
| Outputs |
|---|
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 (/.f64 z y) z)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 (/.f64 z y) z)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 (/.f64 z y) z)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 (/.f64 z y) z)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 (/.f64 z y) z)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 (/.f64 z y) z)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 (/.f64 z y) z)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 (/.f64 z y) z)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 (/.f64 z y) z)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 (/.f64 z y) z)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 (/.f64 z y) z)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 (/.f64 z y) z)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 (/.f64 z y) z)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 (/.f64 z y) z)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 (/.f64 z y) z)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 (/.f64 z y) z)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 (/.f64 z y) z)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 (/.f64 z y) z)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 (/.f64 z y) z)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 (/.f64 z y) z)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 (/.f64 z y) z)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 (/.f64 z y) z)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 (/.f64 z y) z)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 (/.f64 z y) z)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 30.1b | (/.f64 (*.f64 y y) (*.f64 y 2)) |
Compiled 18 to 10 computations (44.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 y y) (*.f64 y 2)) |
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 y y) (*.f64 y 2)) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 y y) (*.f64 y 2)) |
| 1× | batch-egg-rewrite |
| 661× | pow1_binary64 |
| 618× | add-log-exp_binary64 |
| 618× | log1p-expm1-u_binary64 |
| 618× | expm1-log1p-u_binary64 |
| 602× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 132 | 4 |
| 2 | 1841 | 4 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y y) (*.f64 y 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 y (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 y (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y y) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y 1/2)) (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2) (cbrt.f64 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 y 4)) (*.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y 1/2)) (sqrt.f64 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 y)) (/.f64 1 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (*.f64 y y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y 4)) y) (/.f64 (pow.f64 (cbrt.f64 y) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y 4)) 2) (/.f64 (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 y 2)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y 4)) 1) (/.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 y (cbrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 (*.f64 y y) (cbrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (cbrt.f64 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 y 2))) (/.f64 (*.f64 y y) (sqrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y 4)) (sqrt.f64 (*.f64 y 2))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y y) (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 y y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y y) 3) (pow.f64 (*.f64 y 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 1/2))))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 48 |
| 1 | 5 | 48 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
| Outputs |
|---|
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (/.f64 1 (/.f64 (*.f64 y 2) (*.f64 x x))) |
| ✓ | 9.2b | (/.f64 (*.f64 y 2) (*.f64 x x)) |
Compiled 29 to 16 computations (44.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (/.f64 (*.f64 y 2) (*.f64 x x)) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 y 2) (*.f64 x x)) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 y 2) (*.f64 x x)) |
| 1.0ms | y | @ | -inf | (/.f64 (*.f64 y 2) (*.f64 x x)) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 y 2) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 974× | pow1_binary64 |
| 906× | add-log-exp_binary64 |
| 906× | log1p-expm1-u_binary64 |
| 906× | expm1-log1p-u_binary64 |
| 94× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 192 | 20 |
| 2 | 2563 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y 2) (*.f64 x x)) |
(/.f64 1 (/.f64 (*.f64 y 2) (*.f64 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 y (/.f64 2 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (*.f64 (*.f64 x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 y (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 y (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 2) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (/.f64 2 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 y (/.f64 2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 y (/.f64 2 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 y (/.f64 2 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 y (/.f64 2 x)) x)) 2) (cbrt.f64 (/.f64 (*.f64 y (/.f64 2 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y 2)) 2) (*.f64 (cbrt.f64 (*.f64 y 2)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y 2)) x) (/.f64 (sqrt.f64 (*.f64 y 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y 2)) (*.f64 (sqrt.f64 (*.f64 y 2)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -2) (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 y x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y 2)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y 2)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y 2)) 1) (/.f64 (sqrt.f64 (*.f64 y 2)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y 2)) 2) x) (/.f64 (cbrt.f64 (*.f64 y 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cbrt.f64 (pow.f64 x 4))) (/.f64 2 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (cbrt.f64 (pow.f64 x 4))) (/.f64 y (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (*.f64 y 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y 2)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (/.f64 (*.f64 y (/.f64 2 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y 2)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (*.f64 y 2)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y (/.f64 2 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 y (/.f64 2 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 y (/.f64 2 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 y 2)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y 2) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 y (/.f64 2 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 y (/.f64 2 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 y (/.f64 2 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 y (/.f64 2 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y 2) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 y (/.f64 2 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 y (/.f64 2 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 y (/.f64 2 x)) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 y (/.f64 2 x)) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 y (/.f64 2 x)) x) -2)) (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 1/2 y)) x) (*.f64 (sqrt.f64 (/.f64 1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (*.f64 y -2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (pow.f64 (pow.f64 x -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 x x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 y (/.f64 2 x)) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (*.f64 y (/.f64 2 x)) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 y 2)) x) -1) (pow.f64 (/.f64 (sqrt.f64 (*.f64 y 2)) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y x) -1) (pow.f64 (/.f64 2 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 2) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (*.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (*.f64 y 2))) (/.f64 x (sqrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 y 2))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (*.f64 y 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y -2)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (/.f64 y x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 y) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 y) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 y) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y (/.f64 2 x)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 1/2 y)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 y (/.f64 2 x)) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/2 y)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 y 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))))))) |
| 1× | egg-herbie |
| 632× | times-frac_binary64 |
| 583× | associate-/l/_binary64 |
| 578× | sqr-pow_binary64 |
| 470× | associate-/l*_binary64 |
| 439× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 480 |
| 1 | 21 | 480 |
| 2 | 42 | 480 |
| 3 | 97 | 480 |
| 4 | 288 | 480 |
| 5 | 1138 | 480 |
| 6 | 4177 | 480 |
| 7 | 4713 | 480 |
| 8 | 4813 | 480 |
| 9 | 4957 | 480 |
| 10 | 5128 | 480 |
| 11 | 5396 | 480 |
| 12 | 5719 | 480 |
| 13 | 6089 | 480 |
| 14 | 6544 | 480 |
| 15 | 7135 | 480 |
| 16 | 7843 | 480 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
| Outputs |
|---|
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 2 y) (*.f64 x x)) |
(*.f64 2 (/.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 2 (*.f64 x x)) y) |
(*.f64 2 (/.f64 y (*.f64 x x))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 2 y) (*.f64 x x)) |
(*.f64 2 (/.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 2 (*.f64 x x)) y) |
(*.f64 2 (/.f64 y (*.f64 x x))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 2 y) (*.f64 x x)) |
(*.f64 2 (/.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 2 (*.f64 x x)) y) |
(*.f64 2 (/.f64 y (*.f64 x x))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 2 y) (*.f64 x x)) |
(*.f64 2 (/.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 2 (*.f64 x x)) y) |
(*.f64 2 (/.f64 y (*.f64 x x))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 2 y) (*.f64 x x)) |
(*.f64 2 (/.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 2 (*.f64 x x)) y) |
(*.f64 2 (/.f64 y (*.f64 x x))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 2 y) (*.f64 x x)) |
(*.f64 2 (/.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 2 (*.f64 x x)) y) |
(*.f64 2 (/.f64 y (*.f64 x x))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 2 y) (*.f64 x x)) |
(*.f64 2 (/.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 2 (*.f64 x x)) y) |
(*.f64 2 (/.f64 y (*.f64 x x))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 2 y) (*.f64 x x)) |
(*.f64 2 (/.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 2 (*.f64 x x)) y) |
(*.f64 2 (/.f64 y (*.f64 x x))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 2 y) (*.f64 x x)) |
(*.f64 2 (/.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 2 (*.f64 x x)) y) |
(*.f64 2 (/.f64 y (*.f64 x x))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 2 y) (*.f64 x x)) |
(*.f64 2 (/.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 2 (*.f64 x x)) y) |
(*.f64 2 (/.f64 y (*.f64 x x))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 2 y) (*.f64 x x)) |
(*.f64 2 (/.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 2 (*.f64 x x)) y) |
(*.f64 2 (/.f64 y (*.f64 x x))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 2 y) (*.f64 x x)) |
(*.f64 2 (/.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 2 (*.f64 x x)) y) |
(*.f64 2 (/.f64 y (*.f64 x x))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 2 y) (*.f64 x x)) |
(*.f64 2 (/.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 2 (*.f64 x x)) y) |
(*.f64 2 (/.f64 y (*.f64 x x))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 2 y) (*.f64 x x)) |
(*.f64 2 (/.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 2 (*.f64 x x)) y) |
(*.f64 2 (/.f64 y (*.f64 x x))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 2 y) (*.f64 x x)) |
(*.f64 2 (/.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 2 (*.f64 x x)) y) |
(*.f64 2 (/.f64 y (*.f64 x x))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 2 y) (*.f64 x x)) |
(*.f64 2 (/.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 2 (*.f64 x x)) y) |
(*.f64 2 (/.f64 y (*.f64 x x))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 2 y) (*.f64 x x)) |
(*.f64 2 (/.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 2 (*.f64 x x)) y) |
(*.f64 2 (/.f64 y (*.f64 x x))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 2 y) (*.f64 x x)) |
(*.f64 2 (/.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 2 (*.f64 x x)) y) |
(*.f64 2 (/.f64 y (*.f64 x x))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 2 y) (*.f64 x x)) |
(*.f64 2 (/.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 2 (*.f64 x x)) y) |
(*.f64 2 (/.f64 y (*.f64 x x))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 2 y) (*.f64 x x)) |
(*.f64 2 (/.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 2 (*.f64 x x)) y) |
(*.f64 2 (/.f64 y (*.f64 x x))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 2 y) (*.f64 x x)) |
(*.f64 2 (/.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 2 (*.f64 x x)) y) |
(*.f64 2 (/.f64 y (*.f64 x x))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 2 y) (*.f64 x x)) |
(*.f64 2 (/.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 2 (*.f64 x x)) y) |
(*.f64 2 (/.f64 y (*.f64 x x))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 2 y) (*.f64 x x)) |
(*.f64 2 (/.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 2 (*.f64 x x)) y) |
(*.f64 2 (/.f64 y (*.f64 x x))) |
(*.f64 2 (/.f64 y (pow.f64 x 2))) |
(/.f64 (*.f64 2 y) (*.f64 x x)) |
(*.f64 2 (/.f64 (/.f64 y x) x)) |
(*.f64 (/.f64 2 (*.f64 x x)) y) |
(*.f64 2 (/.f64 y (*.f64 x x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 x x) (/.f64 y 1/2)) |
(*.f64 x (*.f64 (/.f64 1/2 y) x)) |
(*.f64 x (*.f64 1/2 (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 x x) (/.f64 y 1/2)) |
(*.f64 x (*.f64 (/.f64 1/2 y) x)) |
(*.f64 x (*.f64 1/2 (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 x x) (/.f64 y 1/2)) |
(*.f64 x (*.f64 (/.f64 1/2 y) x)) |
(*.f64 x (*.f64 1/2 (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 x x) (/.f64 y 1/2)) |
(*.f64 x (*.f64 (/.f64 1/2 y) x)) |
(*.f64 x (*.f64 1/2 (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 x x) (/.f64 y 1/2)) |
(*.f64 x (*.f64 (/.f64 1/2 y) x)) |
(*.f64 x (*.f64 1/2 (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 x x) (/.f64 y 1/2)) |
(*.f64 x (*.f64 (/.f64 1/2 y) x)) |
(*.f64 x (*.f64 1/2 (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 x x) (/.f64 y 1/2)) |
(*.f64 x (*.f64 (/.f64 1/2 y) x)) |
(*.f64 x (*.f64 1/2 (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 x x) (/.f64 y 1/2)) |
(*.f64 x (*.f64 (/.f64 1/2 y) x)) |
(*.f64 x (*.f64 1/2 (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 x x) (/.f64 y 1/2)) |
(*.f64 x (*.f64 (/.f64 1/2 y) x)) |
(*.f64 x (*.f64 1/2 (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 x x) (/.f64 y 1/2)) |
(*.f64 x (*.f64 (/.f64 1/2 y) x)) |
(*.f64 x (*.f64 1/2 (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 x x) (/.f64 y 1/2)) |
(*.f64 x (*.f64 (/.f64 1/2 y) x)) |
(*.f64 x (*.f64 1/2 (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 x x) (/.f64 y 1/2)) |
(*.f64 x (*.f64 (/.f64 1/2 y) x)) |
(*.f64 x (*.f64 1/2 (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 x x) (/.f64 y 1/2)) |
(*.f64 x (*.f64 (/.f64 1/2 y) x)) |
(*.f64 x (*.f64 1/2 (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 x x) (/.f64 y 1/2)) |
(*.f64 x (*.f64 (/.f64 1/2 y) x)) |
(*.f64 x (*.f64 1/2 (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 x x) (/.f64 y 1/2)) |
(*.f64 x (*.f64 (/.f64 1/2 y) x)) |
(*.f64 x (*.f64 1/2 (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 x x) (/.f64 y 1/2)) |
(*.f64 x (*.f64 (/.f64 1/2 y) x)) |
(*.f64 x (*.f64 1/2 (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 x x) (/.f64 y 1/2)) |
(*.f64 x (*.f64 (/.f64 1/2 y) x)) |
(*.f64 x (*.f64 1/2 (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 x x) (/.f64 y 1/2)) |
(*.f64 x (*.f64 (/.f64 1/2 y) x)) |
(*.f64 x (*.f64 1/2 (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 x x) (/.f64 y 1/2)) |
(*.f64 x (*.f64 (/.f64 1/2 y) x)) |
(*.f64 x (*.f64 1/2 (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 x x) (/.f64 y 1/2)) |
(*.f64 x (*.f64 (/.f64 1/2 y) x)) |
(*.f64 x (*.f64 1/2 (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 x x) (/.f64 y 1/2)) |
(*.f64 x (*.f64 (/.f64 1/2 y) x)) |
(*.f64 x (*.f64 1/2 (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 x x) (/.f64 y 1/2)) |
(*.f64 x (*.f64 (/.f64 1/2 y) x)) |
(*.f64 x (*.f64 1/2 (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 x x) (/.f64 y 1/2)) |
(*.f64 x (*.f64 (/.f64 1/2 y) x)) |
(*.f64 x (*.f64 1/2 (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 x x) (/.f64 y 1/2)) |
(*.f64 x (*.f64 (/.f64 1/2 y) x)) |
(*.f64 x (*.f64 1/2 (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) | |
| 0.5b | (-.f64 (*.f64 x x) (*.f64 z z)) | |
| ✓ | 8.5b | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) y) |
| ✓ | 17.7b | (*.f64 (/.f64 1 (-.f64 x z)) (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) y)) |
Compiled 119 to 27 computations (77.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | y | @ | inf | (*.f64 (/.f64 1 (-.f64 x z)) (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) y)) |
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) y) |
| 1.0ms | y | @ | -inf | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) y) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) y) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 (-.f64 x z)) (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) y)) |
| 1× | batch-egg-rewrite |
| 839× | fma-def_binary64 |
| 350× | fma-neg_binary64 |
| 293× | log-div_binary64 |
| 283× | expm1-udef_binary64 |
| 283× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 44 |
| 1 | 326 | 32 |
| 2 | 5223 | 32 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (-.f64 x z)) (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (-.f64 x z) (/.f64 (/.f64 y (-.f64 z x)) (-.f64 (*.f64 x x) (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (/.f64 y (-.f64 z x)) (-.f64 (*.f64 x x) (*.f64 z z))) (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (-.f64 x z) y) (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x z) (*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y) (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (-.f64 x z)) (/.f64 (/.f64 y (-.f64 z x)) (-.f64 (*.f64 x x) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 z z)) 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| 1× | egg-herbie |
| 510× | div-sub_binary64 |
| 354× | unswap-sqr_binary64 |
| 312× | associate-*r*_binary64 |
| 290× | associate-*l*_binary64 |
| 278× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 1704 |
| 1 | 107 | 1602 |
| 2 | 277 | 1554 |
| 3 | 855 | 1104 |
| 4 | 4590 | 1044 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(*.f64 -1 (/.f64 (pow.f64 z 3) y)) |
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) x) y) (*.f64 -1 (/.f64 (pow.f64 z 3) y))) |
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) x) y) (+.f64 (/.f64 (*.f64 z (pow.f64 x 2)) y) (*.f64 -1 (/.f64 (pow.f64 z 3) y)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) x) y) (+.f64 (/.f64 (*.f64 z (pow.f64 x 2)) y) (*.f64 -1 (/.f64 (pow.f64 z 3) y))))) |
(*.f64 -1 (/.f64 (pow.f64 x 3) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (*.f64 z (pow.f64 x 2)) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) x) y) (/.f64 (*.f64 z (pow.f64 x 2)) y))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) x) y) (+.f64 (/.f64 (*.f64 z (pow.f64 x 2)) y) (*.f64 -1 (/.f64 (pow.f64 z 3) y))))) |
(*.f64 -1 (/.f64 (pow.f64 x 3) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (*.f64 z (pow.f64 x 2)) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) x) y) (/.f64 (*.f64 z (pow.f64 x 2)) y))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) x) y) (+.f64 (/.f64 (*.f64 z (pow.f64 x 2)) y) (*.f64 -1 (/.f64 (pow.f64 z 3) y))))) |
(*.f64 -1 (/.f64 (pow.f64 x 3) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (/.f64 (*.f64 z (pow.f64 x 2)) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) x) y) (/.f64 (*.f64 z (pow.f64 x 2)) y))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) x) y) (+.f64 (/.f64 (*.f64 z (pow.f64 x 2)) y) (*.f64 -1 (/.f64 (pow.f64 z 3) y))))) |
(*.f64 -1 (/.f64 (pow.f64 z 3) y)) |
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) x) y) (*.f64 -1 (/.f64 (pow.f64 z 3) y))) |
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) x) y) (+.f64 (/.f64 (*.f64 z (pow.f64 x 2)) y) (*.f64 -1 (/.f64 (pow.f64 z 3) y)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) x) y) (+.f64 (/.f64 (*.f64 z (pow.f64 x 2)) y) (*.f64 -1 (/.f64 (pow.f64 z 3) y))))) |
(*.f64 -1 (/.f64 (pow.f64 z 3) y)) |
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) x) y) (*.f64 -1 (/.f64 (pow.f64 z 3) y))) |
(+.f64 (/.f64 (*.f64 (pow.f64 z 2) x) y) (+.f64 (/.f64 (*.f64 z (pow.f64 x 2)) y) (*.f64 -1 (/.f64 (pow.f64 z 3) y)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 (*.f64 (pow.f64 z 2) x) y) (+.f64 (/.f64 (*.f64 z (pow.f64 x 2)) y) (*.f64 -1 (/.f64 (pow.f64 z 3) y))))) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) y) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) y) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) y) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) y) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) y) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) y) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) y) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) y) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) y) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) y) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) y) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) y) |
| Outputs |
|---|
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(*.f64 (/.f64 z y) z) |
(/.f64 z (/.f64 y z)) |
(*.f64 z (/.f64 z y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x))) |
(-.f64 0 (/.f64 (fma.f64 z (neg.f64 z) (*.f64 x x)) y)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x))) |
(-.f64 0 (/.f64 (fma.f64 z (neg.f64 z) (*.f64 x x)) y)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x))) |
(-.f64 0 (/.f64 (fma.f64 z (neg.f64 z) (*.f64 x x)) y)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (neg.f64 x) x) y) |
(/.f64 (neg.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x))) |
(-.f64 0 (/.f64 (fma.f64 z (neg.f64 z) (*.f64 x x)) y)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x))) |
(-.f64 0 (/.f64 (fma.f64 z (neg.f64 z) (*.f64 x x)) y)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x))) |
(-.f64 0 (/.f64 (fma.f64 z (neg.f64 z) (*.f64 x x)) y)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (neg.f64 x) x) y) |
(/.f64 (neg.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x))) |
(-.f64 0 (/.f64 (fma.f64 z (neg.f64 z) (*.f64 x x)) y)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x))) |
(-.f64 0 (/.f64 (fma.f64 z (neg.f64 z) (*.f64 x x)) y)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x))) |
(-.f64 0 (/.f64 (fma.f64 z (neg.f64 z) (*.f64 x x)) y)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (neg.f64 x) x) y) |
(/.f64 (neg.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x))) |
(-.f64 0 (/.f64 (fma.f64 z (neg.f64 z) (*.f64 x x)) y)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x))) |
(-.f64 0 (/.f64 (fma.f64 z (neg.f64 z) (*.f64 x x)) y)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x))) |
(-.f64 0 (/.f64 (fma.f64 z (neg.f64 z) (*.f64 x x)) y)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(*.f64 (/.f64 z y) z) |
(/.f64 z (/.f64 y z)) |
(*.f64 z (/.f64 z y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x))) |
(-.f64 0 (/.f64 (fma.f64 z (neg.f64 z) (*.f64 x x)) y)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x))) |
(-.f64 0 (/.f64 (fma.f64 z (neg.f64 z) (*.f64 x x)) y)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x))) |
(-.f64 0 (/.f64 (fma.f64 z (neg.f64 z) (*.f64 x x)) y)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(*.f64 (/.f64 z y) z) |
(/.f64 z (/.f64 y z)) |
(*.f64 z (/.f64 z y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x))) |
(-.f64 0 (/.f64 (fma.f64 z (neg.f64 z) (*.f64 x x)) y)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x))) |
(-.f64 0 (/.f64 (fma.f64 z (neg.f64 z) (*.f64 x x)) y)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y)) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x))) |
(-.f64 0 (/.f64 (fma.f64 z (neg.f64 z) (*.f64 x x)) y)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x))) |
(-.f64 0 (/.f64 (fma.f64 z (neg.f64 z) (*.f64 x x)) y)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x))) |
(-.f64 0 (/.f64 (fma.f64 z (neg.f64 z) (*.f64 x x)) y)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x))) |
(-.f64 0 (/.f64 (fma.f64 z (neg.f64 z) (*.f64 x x)) y)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (*.f64 y (-.f64 x z))) |
(fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y)) |
(-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x))) |
(-.f64 0 (/.f64 (fma.f64 z (neg.f64 z) (*.f64 x x)) y)) |
(neg.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
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(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 z z) y) x) (-.f64 (*.f64 (/.f64 z y) (*.f64 x x)) (/.f64 (pow.f64 z 3) y))) (/.f64 (pow.f64 x 3) y)) |
(-.f64 (-.f64 (fma.f64 (/.f64 z y) (*.f64 x x) (/.f64 z (/.f64 (/.f64 y x) z))) (/.f64 (pow.f64 z 3) y)) (/.f64 (pow.f64 x 3) y)) |
(*.f64 (-.f64 z x) (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (-.f64 z x) y)) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) y) |
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) x) y) (/.f64 (*.f64 z (*.f64 x x)) y)) (neg.f64 (/.f64 (pow.f64 z 3) y)))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 z z) y) x) (-.f64 (*.f64 (/.f64 z y) (*.f64 x x)) (/.f64 (pow.f64 z 3) y))) (/.f64 (pow.f64 x 3) y)) |
(-.f64 (-.f64 (fma.f64 (/.f64 z y) (*.f64 x x) (/.f64 z (/.f64 (/.f64 y x) z))) (/.f64 (pow.f64 z 3) y)) (/.f64 (pow.f64 x 3) y)) |
(*.f64 (-.f64 z x) (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (-.f64 z x) y)) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) y) |
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) x) y) (/.f64 (*.f64 z (*.f64 x x)) y)) (neg.f64 (/.f64 (pow.f64 z 3) y)))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 z z) y) x) (-.f64 (*.f64 (/.f64 z y) (*.f64 x x)) (/.f64 (pow.f64 z 3) y))) (/.f64 (pow.f64 x 3) y)) |
(-.f64 (-.f64 (fma.f64 (/.f64 z y) (*.f64 x x) (/.f64 z (/.f64 (/.f64 y x) z))) (/.f64 (pow.f64 z 3) y)) (/.f64 (pow.f64 x 3) y)) |
(*.f64 (-.f64 z x) (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (-.f64 z x) y)) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) y) |
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) x) y) (/.f64 (*.f64 z (*.f64 x x)) y)) (neg.f64 (/.f64 (pow.f64 z 3) y)))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 z z) y) x) (-.f64 (*.f64 (/.f64 z y) (*.f64 x x)) (/.f64 (pow.f64 z 3) y))) (/.f64 (pow.f64 x 3) y)) |
(-.f64 (-.f64 (fma.f64 (/.f64 z y) (*.f64 x x) (/.f64 z (/.f64 (/.f64 y x) z))) (/.f64 (pow.f64 z 3) y)) (/.f64 (pow.f64 x 3) y)) |
(*.f64 (-.f64 z x) (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (-.f64 z x) y)) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) y) |
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) x) y) (/.f64 (*.f64 z (*.f64 x x)) y)) (neg.f64 (/.f64 (pow.f64 z 3) y)))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 z z) y) x) (-.f64 (*.f64 (/.f64 z y) (*.f64 x x)) (/.f64 (pow.f64 z 3) y))) (/.f64 (pow.f64 x 3) y)) |
(-.f64 (-.f64 (fma.f64 (/.f64 z y) (*.f64 x x) (/.f64 z (/.f64 (/.f64 y x) z))) (/.f64 (pow.f64 z 3) y)) (/.f64 (pow.f64 x 3) y)) |
(*.f64 (-.f64 z x) (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (-.f64 z x) y)) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) y) |
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) x) y) (/.f64 (*.f64 z (*.f64 x x)) y)) (neg.f64 (/.f64 (pow.f64 z 3) y)))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 z z) y) x) (-.f64 (*.f64 (/.f64 z y) (*.f64 x x)) (/.f64 (pow.f64 z 3) y))) (/.f64 (pow.f64 x 3) y)) |
(-.f64 (-.f64 (fma.f64 (/.f64 z y) (*.f64 x x) (/.f64 z (/.f64 (/.f64 y x) z))) (/.f64 (pow.f64 z 3) y)) (/.f64 (pow.f64 x 3) y)) |
(*.f64 (-.f64 z x) (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (-.f64 z x) y)) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) y) |
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) x) y) (/.f64 (*.f64 z (*.f64 x x)) y)) (neg.f64 (/.f64 (pow.f64 z 3) y)))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 z z) y) x) (-.f64 (*.f64 (/.f64 z y) (*.f64 x x)) (/.f64 (pow.f64 z 3) y))) (/.f64 (pow.f64 x 3) y)) |
(-.f64 (-.f64 (fma.f64 (/.f64 z y) (*.f64 x x) (/.f64 z (/.f64 (/.f64 y x) z))) (/.f64 (pow.f64 z 3) y)) (/.f64 (pow.f64 x 3) y)) |
(*.f64 (-.f64 z x) (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (-.f64 z x) y)) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) y) |
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) x) y) (/.f64 (*.f64 z (*.f64 x x)) y)) (neg.f64 (/.f64 (pow.f64 z 3) y)))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 z z) y) x) (-.f64 (*.f64 (/.f64 z y) (*.f64 x x)) (/.f64 (pow.f64 z 3) y))) (/.f64 (pow.f64 x 3) y)) |
(-.f64 (-.f64 (fma.f64 (/.f64 z y) (*.f64 x x) (/.f64 z (/.f64 (/.f64 y x) z))) (/.f64 (pow.f64 z 3) y)) (/.f64 (pow.f64 x 3) y)) |
(*.f64 (-.f64 z x) (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (-.f64 z x) y)) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) y) |
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) x) y) (/.f64 (*.f64 z (*.f64 x x)) y)) (neg.f64 (/.f64 (pow.f64 z 3) y)))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 z z) y) x) (-.f64 (*.f64 (/.f64 z y) (*.f64 x x)) (/.f64 (pow.f64 z 3) y))) (/.f64 (pow.f64 x 3) y)) |
(-.f64 (-.f64 (fma.f64 (/.f64 z y) (*.f64 x x) (/.f64 z (/.f64 (/.f64 y x) z))) (/.f64 (pow.f64 z 3) y)) (/.f64 (pow.f64 x 3) y)) |
(*.f64 (-.f64 z x) (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (-.f64 z x) y)) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) y) |
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) x) y) (/.f64 (*.f64 z (*.f64 x x)) y)) (neg.f64 (/.f64 (pow.f64 z 3) y)))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 z z) y) x) (-.f64 (*.f64 (/.f64 z y) (*.f64 x x)) (/.f64 (pow.f64 z 3) y))) (/.f64 (pow.f64 x 3) y)) |
(-.f64 (-.f64 (fma.f64 (/.f64 z y) (*.f64 x x) (/.f64 z (/.f64 (/.f64 y x) z))) (/.f64 (pow.f64 z 3) y)) (/.f64 (pow.f64 x 3) y)) |
(*.f64 (-.f64 z x) (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (-.f64 z x) y)) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) y) |
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) x) y) (/.f64 (*.f64 z (*.f64 x x)) y)) (neg.f64 (/.f64 (pow.f64 z 3) y)))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 z z) y) x) (-.f64 (*.f64 (/.f64 z y) (*.f64 x x)) (/.f64 (pow.f64 z 3) y))) (/.f64 (pow.f64 x 3) y)) |
(-.f64 (-.f64 (fma.f64 (/.f64 z y) (*.f64 x x) (/.f64 z (/.f64 (/.f64 y x) z))) (/.f64 (pow.f64 z 3) y)) (/.f64 (pow.f64 x 3) y)) |
(*.f64 (-.f64 z x) (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (-.f64 z x) y)) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (pow.f64 x 2) (pow.f64 z 2))) y) |
(fma.f64 -1 (/.f64 (pow.f64 x 3) y) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) x) y) (/.f64 (*.f64 z (*.f64 x x)) y)) (neg.f64 (/.f64 (pow.f64 z 3) y)))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 z z) y) x) (-.f64 (*.f64 (/.f64 z y) (*.f64 x x)) (/.f64 (pow.f64 z 3) y))) (/.f64 (pow.f64 x 3) y)) |
(-.f64 (-.f64 (fma.f64 (/.f64 z y) (*.f64 x x) (/.f64 z (/.f64 (/.f64 y x) z))) (/.f64 (pow.f64 z 3) y)) (/.f64 (pow.f64 x 3) y)) |
(*.f64 (-.f64 z x) (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (-.f64 z x) y)) |
Compiled 14209 to 5517 computations (61.2% saved)
18 alts after pruning (8 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 565 | 6 | 571 |
| Fresh | 4 | 2 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 10 | 10 |
| Total | 570 | 18 | 588 |
| Status | Error | Program |
|---|---|---|
| ✓ | 13.1b | (*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) |
| ✓ | 49.4b | (*.f64 (/.f64 x (*.f64 y 2)) x) |
| ✓ | 12.8b | (*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)) |
| ✓ | 47.5b | (/.f64 (*.f64 y y) (*.f64 y 2)) |
| ✓ | 25.8b | (*.f64 1/2 y) |
| 50.7b | (*.f64 -1/2 (*.f64 z (/.f64 z y))) | |
| ✓ | 52.7b | (/.f64 1 (/.f64 (*.f64 y 2) (*.f64 x x))) |
| 56.2b | (/.f64 1 (pow.f64 (/.f64 (sqrt.f64 (*.f64 y 2)) x) 2)) | |
| ✓ | 53.9b | (*.f64 (*.f64 z z) (/.f64 -1/2 y)) |
| 20.1b | (*.f64 -1/2 (-.f64 (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 z))) y)) | |
| ✓ | 0.1b | (*.f64 -1/2 (-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y)) |
| ✓ | 12.9b | (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) |
| 52.7b | (*.f64 1/2 (/.f64 (*.f64 x x) y)) | |
| 53.9b | (/.f64 (*.f64 (*.f64 z z) -1/2) y) | |
| ✓ | 49.3b | (*.f64 1/2 (/.f64 x (/.f64 y x))) |
| 13.8b | (*.f64 -1/2 (pow.f64 (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) 3)) | |
| 26.6b | (*.f64 -1/2 (-.f64 (*.f64 (/.f64 1 (-.f64 x z)) (/.f64 (*.f64 z (*.f64 z (-.f64 x z))) y)) y)) | |
| 49.4b | (/.f64 1 (*.f64 (/.f64 y x) (/.f64 2 x))) |
Compiled 219 to 154 computations (29.7% saved)
| Inputs |
|---|
(*.f64 1/2 y) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 z z) -1/2) y) |
(*.f64 (/.f64 x (*.f64 y 2)) x) |
(*.f64 (/.f64 1/2 y) (*.f64 x x)) |
(*.f64 (*.f64 z z) (/.f64 -1/2 y)) |
(/.f64 (*.f64 y y) (*.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y 2)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 z (neg.f64 z)) (*.f64 y 2)) |
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 2 x))) |
(/.f64 1 (/.f64 (*.f64 y 2) (*.f64 x x))) |
(*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) |
(*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)) |
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) |
(*.f64 -1/2 (-.f64 (*.f64 x (/.f64 (neg.f64 x) y)) y)) |
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 z))) y)) |
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y)) |
(*.f64 -1/2 (-.f64 (/.f64 1 (/.f64 y (-.f64 (*.f64 z z) (*.f64 x x)))) y)) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 1 (-.f64 x z)) (/.f64 (*.f64 z (*.f64 z (-.f64 x z))) y)) y)) |
(*.f64 -1/2 (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) (*.f64 (-.f64 x z) y)) y)) |
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 1 (-.f64 x z)) (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) y)) y)) |
(*.f64 -1/2 (-.f64 (/.f64 (fma.f64 z z (*.f64 x (neg.f64 x))) y) y)) |
(pow.f64 (/.f64 x (sqrt.f64 (*.f64 y 2))) 2) |
(/.f64 1 (pow.f64 (/.f64 (sqrt.f64 (*.f64 y 2)) x) 2)) |
(*.f64 1/2 (*.f64 (*.f64 (/.f64 x y) (sqrt.f64 x)) (sqrt.f64 x))) |
(*.f64 -1/2 (pow.f64 (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) 3)) |
(*.f64 -1/2 (-.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 3) (+.f64 x z)) y)) |
(pow.f64 (*.f64 2 (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)))) -1) |
(*.f64 -1/2 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) y)) 3)) |
(*.f64 -1/2 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 z x) 2)) 3) y) y)) |
(fma.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (+.f64 y y))) (/.f64 (hypot.f64 x y) (sqrt.f64 (+.f64 y y))) (neg.f64 (*.f64 (*.f64 z z) (/.f64 1/2 y)))) |
| Outputs |
|---|
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y)) |
8 calls:
| 55.0ms | (*.f64 x x) |
| 54.0ms | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
| 48.0ms | y |
| 47.0ms | x |
| 32.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | z |
| 0.1b | 1 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
| 0.1b | 1 | (*.f64 x x) |
| 0.1b | 1 | (*.f64 x x) |
| 0.1b | 1 | (*.f64 z z) |
| 0.1b | 1 | (*.f64 z z) |
Compiled 444 to 233 computations (47.5% saved)
| Inputs |
|---|
(*.f64 1/2 y) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 z z) -1/2) y) |
(*.f64 (/.f64 x (*.f64 y 2)) x) |
(*.f64 (/.f64 1/2 y) (*.f64 x x)) |
(*.f64 (*.f64 z z) (/.f64 -1/2 y)) |
(/.f64 (*.f64 y y) (*.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y 2)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 z (neg.f64 z)) (*.f64 y 2)) |
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 2 x))) |
(/.f64 1 (/.f64 (*.f64 y 2) (*.f64 x x))) |
(*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) |
(*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)) |
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) |
(*.f64 -1/2 (-.f64 (*.f64 x (/.f64 (neg.f64 x) y)) y)) |
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 z))) y)) |
| Outputs |
|---|
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) |
(*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) |
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) |
(*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)) |
7 calls:
| 94.0ms | z |
| 92.0ms | x |
| 68.0ms | (*.f64 x x) |
| 57.0ms | y |
| 48.0ms | (*.f64 z z) |
| Error | Segments | Branch |
|---|---|---|
| 5.2b | 3 | x |
| 8.6b | 6 | y |
| 4.8b | 3 | z |
| 5.4b | 2 | (*.f64 x x) |
| 5.4b | 2 | (*.f64 x x) |
| 3.4b | 4 | (*.f64 z z) |
| 3.4b | 4 | (*.f64 z z) |
Compiled 182 to 106 computations (41.8% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 10497605.067862034 | 42068588.82737414 |
| 0.0ms | 3.9696905113067714e-60 | 3.003502418972313e-57 |
| 0.0ms | 1.597640334236192e-145 | 6.522972352947836e-145 |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
(*.f64 1/2 y) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 z z) -1/2) y) |
(*.f64 (/.f64 x (*.f64 y 2)) x) |
(*.f64 (/.f64 1/2 y) (*.f64 x x)) |
(*.f64 (*.f64 z z) (/.f64 -1/2 y)) |
(/.f64 (*.f64 y y) (*.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y 2)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 z (neg.f64 z)) (*.f64 y 2)) |
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 2 x))) |
(/.f64 1 (/.f64 (*.f64 y 2) (*.f64 x x))) |
(*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) |
(*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)) |
| Outputs |
|---|
(*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)) |
6 calls:
| 55.0ms | y |
| 28.0ms | x |
| 17.0ms | z |
| 14.0ms | (*.f64 z z) |
| 12.0ms | (*.f64 x x) |
| Error | Segments | Branch |
|---|---|---|
| 11.7b | 3 | x |
| 11.1b | 3 | y |
| 12.8b | 1 | z |
| 12.8b | 1 | (*.f64 x x) |
| 12.8b | 1 | (*.f64 z z) |
| 12.8b | 1 | (*.f64 z z) |
Compiled 143 to 82 computations (42.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 46.0ms | -6.840881890725918e-186 | -9.357381599842023e-207 |
| 50.0ms | -3.147020509685962e-101 | -6.647476951677066e-108 |
Compiled 504 to 356 computations (29.4% saved)
| Inputs |
|---|
(*.f64 1/2 y) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 z z) -1/2) y) |
(*.f64 (/.f64 x (*.f64 y 2)) x) |
(*.f64 (/.f64 1/2 y) (*.f64 x x)) |
(*.f64 (*.f64 z z) (/.f64 -1/2 y)) |
(/.f64 (*.f64 y y) (*.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y 2)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 z (neg.f64 z)) (*.f64 y 2)) |
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 2 x))) |
(/.f64 1 (/.f64 (*.f64 y 2) (*.f64 x x))) |
(*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) |
| Outputs |
|---|
(*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) |
6 calls:
| 26.0ms | x |
| 25.0ms | y |
| 8.0ms | z |
| 6.0ms | (*.f64 z z) |
| 6.0ms | (*.f64 x x) |
| Error | Segments | Branch |
|---|---|---|
| 11.7b | 3 | x |
| 11.2b | 3 | y |
| 12.9b | 1 | z |
| 12.9b | 1 | (*.f64 x x) |
| 12.9b | 1 | (*.f64 z z) |
| 12.9b | 1 | (*.f64 z z) |
Compiled 134 to 79 computations (41% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 45.0ms | -6.840881890725918e-186 | -9.357381599842023e-207 |
| 53.0ms | -3.147020509685962e-101 | -6.647476951677066e-108 |
Compiled 504 to 356 computations (29.4% saved)
| Inputs |
|---|
(*.f64 1/2 y) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 z z) -1/2) y) |
(*.f64 (/.f64 x (*.f64 y 2)) x) |
(*.f64 (/.f64 1/2 y) (*.f64 x x)) |
(*.f64 (*.f64 z z) (/.f64 -1/2 y)) |
(/.f64 (*.f64 y y) (*.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y 2)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 z (neg.f64 z)) (*.f64 y 2)) |
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 2 x))) |
(/.f64 1 (/.f64 (*.f64 y 2) (*.f64 x x))) |
| Outputs |
|---|
(*.f64 1/2 y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 y) |
6 calls:
| 78.0ms | y |
| 25.0ms | x |
| 22.0ms | (*.f64 z z) |
| 20.0ms | (*.f64 z z) |
| 9.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 24.6b | 3 | x |
| 18.6b | 5 | y |
| 25.8b | 1 | z |
| 25.8b | 1 | (*.f64 x x) |
| 23.1b | 5 | (*.f64 z z) |
| 23.1b | 5 | (*.f64 z z) |
Compiled 125 to 74 computations (40.8% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 66.0ms | 2.900181296390729e+35 | 4.944101821109835e+36 |
| 26.0ms | 8.795904384372742e-170 | 7.926810969420566e-169 |
| 33.0ms | -9.357381599842023e-207 | -3.6489244273164235e-209 |
| 66.0ms | -3.018149256259036e-19 | -1.4159368634040999e-19 |
Compiled 548 to 408 computations (25.5% saved)
| Inputs |
|---|
(*.f64 1/2 y) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 z z) -1/2) y) |
(*.f64 (/.f64 x (*.f64 y 2)) x) |
(*.f64 (/.f64 1/2 y) (*.f64 x x)) |
(*.f64 (*.f64 z z) (/.f64 -1/2 y)) |
(/.f64 (*.f64 y y) (*.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y 2)) |
| Outputs |
|---|
(*.f64 1/2 y) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 y) |
6 calls:
| 66.0ms | y |
| 17.0ms | x |
| 16.0ms | (*.f64 z z) |
| 15.0ms | (*.f64 z z) |
| 6.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 24.6b | 3 | x |
| 18.6b | 5 | y |
| 25.8b | 1 | z |
| 25.8b | 1 | (*.f64 x x) |
| 23.1b | 5 | (*.f64 z z) |
| 23.1b | 5 | (*.f64 z z) |
Compiled 92 to 55 computations (40.2% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 55.0ms | 2.900181296390729e+35 | 4.944101821109835e+36 |
| 25.0ms | 8.795904384372742e-170 | 7.926810969420566e-169 |
| 81.0ms | -9.357381599842023e-207 | -3.6489244273164235e-209 |
| 40.0ms | -3.018149256259036e-19 | -1.4159368634040999e-19 |
Compiled 548 to 408 computations (25.5% saved)
Total -41.3b remaining (-191.3%)
Threshold costs -41.3b (-191.3%)
| Inputs |
|---|
(*.f64 1/2 y) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
| Outputs |
|---|
(*.f64 1/2 y) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 1/2 y) |
3 calls:
| 11.0ms | y |
| 5.0ms | z |
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 25.8b | 1 | x |
| 21.6b | 3 | y |
| 25.8b | 1 | z |
Compiled 25 to 18 computations (28% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 2.3470034669882534e-101 | 4.863714430144884e-100 |
| 52.0ms | -1.8930248993271025e-87 | -5.02858071085655e-91 |
Compiled 294 to 226 computations (23.1% saved)
| 1× | egg-herbie |
| 19× | *-commutative_binary64 |
| 13× | +-commutative_binary64 |
| 11× | sub-neg_binary64 |
| 7× | neg-sub0_binary64 |
| 7× | neg-mul-1_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 356 |
| 1 | 96 | 356 |
| 2 | 113 | 356 |
| 3 | 131 | 352 |
| 4 | 144 | 352 |
| 5 | 148 | 352 |
| 6 | 149 | 352 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y)) |
(if (<=.f64 (*.f64 z z) 11517219314030581760/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) (if (<=.f64 (*.f64 z z) 578960446186580992/115792089237316195423570985008687907853269984665640564039457584007913129639936) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) (if (<=.f64 (*.f64 z z) 20000000) (*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) (*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y))))) |
(if (<=.f64 y -1133843197669034368/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)) (if (<=.f64 y -133249626049879712/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) (*.f64 1/2 (/.f64 x (/.f64 y x))) (*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)))) |
(if (<=.f64 y -1133843197669034368/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) (if (<=.f64 y -133249626049879712/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) (*.f64 1/2 (/.f64 x (/.f64 y x))) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)))) |
(if (<=.f64 y -376441522243775/2596148429267413814265248164610048) (*.f64 1/2 y) (if (<=.f64 y -3325558837774797/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (*.f64 1/2 (/.f64 x (/.f64 y x))) (if (<=.f64 y 6118709677249157/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) (*.f64 -1/2 (*.f64 z (/.f64 z y))) (if (<=.f64 y 294999999999999992591604425728983040) (*.f64 1/2 (/.f64 (*.f64 x x) y)) (*.f64 1/2 y))))) |
(if (<=.f64 y -376441522243775/2596148429267413814265248164610048) (*.f64 1/2 y) (if (<=.f64 y -3325558837774797/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (*.f64 1/2 (/.f64 (*.f64 x x) y)) (if (<=.f64 y 6118709677249157/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) (*.f64 -1/2 (*.f64 z (/.f64 z y))) (if (<=.f64 y 294999999999999992591604425728983040) (*.f64 1/2 (/.f64 (*.f64 x x) y)) (*.f64 1/2 y))))) |
(if (<=.f64 y -16971889758326530048/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (*.f64 1/2 y) (if (<=.f64 y 3703788582461081/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (*.f64 -1/2 (*.f64 z (/.f64 z y))) (*.f64 1/2 y))) |
(*.f64 1/2 y) |
| Outputs |
|---|
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y)) |
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y)) |
(if (<=.f64 (*.f64 z z) 11517219314030581760/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) (if (<=.f64 (*.f64 z z) 578960446186580992/115792089237316195423570985008687907853269984665640564039457584007913129639936) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) (if (<=.f64 (*.f64 z z) 20000000) (*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) (*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y))))) |
(if (<=.f64 (*.f64 z z) 5623642243178995/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592) (*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) (if (<=.f64 (*.f64 z z) 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) (if (<=.f64 (*.f64 z z) 20000000) (*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) (*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y))))) |
(if (<=.f64 (*.f64 z z) 5623642243178995/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592) (*.f64 -1/2 (-.f64 (*.f64 x (/.f64 (neg.f64 x) y)) y)) (if (<=.f64 (*.f64 z z) 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) (if (<=.f64 (*.f64 z z) 20000000) (*.f64 -1/2 (-.f64 (*.f64 x (/.f64 (neg.f64 x) y)) y)) (*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y))))) |
(if (<=.f64 (*.f64 z z) 5623642243178995/28118211215894977392565865673037386617935606989386978956879722328823984879196799189494004288149317857187005691459505594520051662846839373056303219880407274094592) (*.f64 1/2 (+.f64 y (*.f64 x (/.f64 x y)))) (if (<=.f64 (*.f64 z z) 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) (if (<=.f64 (*.f64 z z) 20000000) (*.f64 1/2 (+.f64 y (*.f64 x (/.f64 x y)))) (*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y))))) |
(if (<=.f64 y -1133843197669034368/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)) (if (<=.f64 y -133249626049879712/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) (*.f64 1/2 (/.f64 x (/.f64 y x))) (*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)))) |
(if (<=.f64 y -8858149981789331/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) (*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)) (if (<=.f64 y -4164050814058741/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928) (*.f64 1/2 (/.f64 x (/.f64 y x))) (*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)))) |
(if (<=.f64 y -1133843197669034368/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) (if (<=.f64 y -133249626049879712/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) (*.f64 1/2 (/.f64 x (/.f64 y x))) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)))) |
(if (<=.f64 y -8858149981789331/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) (if (<=.f64 y -4164050814058741/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928) (*.f64 1/2 (/.f64 x (/.f64 y x))) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)))) |
(if (<=.f64 y -376441522243775/2596148429267413814265248164610048) (*.f64 1/2 y) (if (<=.f64 y -3325558837774797/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (*.f64 1/2 (/.f64 x (/.f64 y x))) (if (<=.f64 y 6118709677249157/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) (*.f64 -1/2 (*.f64 z (/.f64 z y))) (if (<=.f64 y 294999999999999992591604425728983040) (*.f64 1/2 (/.f64 (*.f64 x x) y)) (*.f64 1/2 y))))) |
(if (<=.f64 y -376441522243775/2596148429267413814265248164610048) (*.f64 y 1/2) (if (<=.f64 y -3325558837774797/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (*.f64 1/2 (/.f64 x (/.f64 y x))) (if (<=.f64 y 6118709677249157/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) (*.f64 -1/2 (*.f64 z (/.f64 z y))) (if (<=.f64 y 294999999999999992591604425728983040) (*.f64 1/2 (/.f64 (*.f64 x x) y)) (*.f64 y 1/2))))) |
(if (<=.f64 y -376441522243775/2596148429267413814265248164610048) (*.f64 1/2 y) (if (<=.f64 y -3325558837774797/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (*.f64 1/2 (/.f64 (*.f64 x x) y)) (if (<=.f64 y 6118709677249157/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) (*.f64 -1/2 (*.f64 z (/.f64 z y))) (if (<=.f64 y 294999999999999992591604425728983040) (*.f64 1/2 (/.f64 (*.f64 x x) y)) (*.f64 1/2 y))))) |
(if (<=.f64 y -376441522243775/2596148429267413814265248164610048) (*.f64 y 1/2) (if (<=.f64 y -3325558837774797/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (*.f64 1/2 (/.f64 (*.f64 x x) y)) (if (<=.f64 y 6118709677249157/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) (*.f64 -1/2 (*.f64 z (/.f64 z y))) (if (<=.f64 y 294999999999999992591604425728983040) (*.f64 1/2 (/.f64 (*.f64 x x) y)) (*.f64 y 1/2))))) |
(if (<=.f64 y -16971889758326530048/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (*.f64 1/2 y) (if (<=.f64 y 3703788582461081/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (*.f64 -1/2 (*.f64 z (/.f64 z y))) (*.f64 1/2 y))) |
(if (<=.f64 y -2071763886514469/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (*.f64 y 1/2) (if (<=.f64 y 3703788582461081/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (*.f64 -1/2 (*.f64 z (/.f64 z y))) (*.f64 y 1/2))) |
(*.f64 1/2 y) |
(*.f64 y 1/2) |
Compiled 267 to 162 computations (39.3% saved)
| 2× | egg-herbie |
| 803× | div-sub_binary64 |
| 796× | fma-def_binary64 |
| 645× | fma-neg_binary64 |
| 587× | unswap-sqr_binary64 |
| 541× | cancel-sign-sub-inv_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 20 |
| 1 | 27 | 20 |
| 2 | 67 | 20 |
| 3 | 136 | 20 |
| 4 | 320 | 20 |
| 5 | 755 | 20 |
| 6 | 1894 | 19 |
| 7 | 4451 | 19 |
| 0 | 22 | 1421 |
| 1 | 55 | 1327 |
| 2 | 109 | 1153 |
| 3 | 230 | 1151 |
| 4 | 598 | 1151 |
| 5 | 2167 | 1151 |
| 6 | 6258 | 1151 |
| 1× | node limit |
| 1× | node limit |
Compiled 484 to 315 computations (34.9% saved)
Compiled 246 to 123 computations (50% saved)
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