Time bar (total: 9.0s)
| 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)
| 1.3s | 8256× | body | 256 | valid |
| 881.0ms | 3879× | 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 |
|---|---|---|
| ▶ | 13.4b | (*.f64 -1/2 (-.f64 (/.f64 (fma.f64 z z (*.f64 x (neg.f64 x))) y) y)) |
| ▶ | 27.0b | (/.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) |
| ✓ | 0.2b | (fma.f64 z z (*.f64 x (neg.f64 x))) |
| ✓ | 13.0b | (/.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 | z | @ | inf | (fma.f64 z z (*.f64 x (neg.f64 x))) |
| 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 | z | @ | -inf | (/.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× | 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 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) y)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) y)) 2) (cbrt.f64 (-.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) y) y)) (sqrt.f64 (-.f64 (/.f64 (pow.f64 (hypot.f64 z x) 2) 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 1 (+.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 1 (+.f64 y (/.f64 (pow.f64 (hypot.f64 z x) 2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (hypot.f64 z x) (sqrt.f64 y)) (sqrt.f64 y)) (-.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)) |
| ✓ | 3.0b | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
| ✓ | 25.1b | (/.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)) |
| 1.0ms | x | @ | 0 | (/.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)) |
| 1.0ms | y | @ | inf | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
| 1.0ms | x | @ | 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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(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y))) (sqrt.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) (*.f64 (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) (/.f64 1 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (-.f64 (pow.f64 (hypot.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x (*.f64 (neg.f64 y) y))) (/.f64 (pow.f64 y 4) (fma.f64 x x (*.f64 (neg.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x y) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 1 (-.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 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)) |
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(-.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 x 2) |
(*.f64 x x) |
(-.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 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)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 391 | 15 | 406 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 393 | 15 | 408 |
| Status | Error | Program |
|---|---|---|
| 48.5b | (/.f64 (*.f64 y y) (*.f64 y 2)) | |
| ▶ | 15.7b | (*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)) |
| 38.1b | (*.f64 -1/2 (-.f64 (pow.f64 (/.f64 (hypot.f64 z x) (sqrt.f64 y)) 2) y)) | |
| 47.4b | (*.f64 1/2 (/.f64 x (/.f64 y x))) | |
| 15.7b | (*.f64 1/2 (fma.f64 (/.f64 z y) (neg.f64 z) y)) | |
| 27.1b | (pow.f64 (*.f64 2 (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)))) -1) | |
| 14.7b | (*.f64 -1/2 (-.f64 (*.f64 x (/.f64 (neg.f64 x) y)) y)) | |
| ▶ | 29.8b | (*.f64 1/2 y) |
| ▶ | 0.1b | (*.f64 -1/2 (-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y)) |
| 6.8b | (fma.f64 (/.f64 (hypot.f64 x y) y) (/.f64 (hypot.f64 x y) 2) (neg.f64 (*.f64 (*.f64 z z) (/.f64 1/2 y)))) | |
| ▶ | 41.8b | (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y 2)) |
| 53.6b | (/.f64 (*.f64 z (neg.f64 z)) (*.f64 y 2)) | |
| 53.6b | (*.f64 (*.f64 z z) (/.f64 -1/2 y)) | |
| 22.3b | (*.f64 -1/2 (-.f64 (/.f64 (*.f64 z z) y) y)) | |
| ▶ | 51.1b | (/.f64 (*.f64 x x) (*.f64 y 2)) |
Compiled 382 to 260 computations (31.9% 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 | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
| 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 | z | @ | -inf | (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) |
| 1.0ms | z | @ | -inf | (/.f64 (-.f64 z x) y) |
| 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 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| 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))) |
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(-.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) |
(*.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 |
|---|---|---|
| ✓ | 9.9b | (/.f64 (*.f64 x x) (*.f64 y 2)) |
Compiled 19 to 10 computations (47.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | 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 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.6b | (-.f64 (*.f64 x x) (*.f64 z z)) |
| ✓ | 13.0b | (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y 2)) |
Compiled 34 to 12 computations (64.7% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y 2)) |
| 1.0ms | y | @ | inf | (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y 2)) |
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y 2)) |
| 1.0ms | z | @ | inf | (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y 2)) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y 2)) |
| 1× | batch-egg-rewrite |
| 620× | log-prod_binary64 |
| 414× | fma-def_binary64 |
| 359× | pow-prod-down_binary64 |
| 300× | pow2_binary64 |
| 207× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 229 | 26 |
| 2 | 3433 | 26 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y 2)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
| Outputs |
|---|
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fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x z) (-.f64 x z) (+.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x z) (+.f64 x z) (fma.f64 z (neg.f64 z) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x z) (+.f64 x z) (fma.f64 (*.f64 z (neg.f64 z)) 1 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x z) (+.f64 x z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 z) z) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x z) (+.f64 x z) (*.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x z) (+.f64 x z) (+.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 z (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 z (neg.f64 z) (fma.f64 z (neg.f64 z) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 z z) (fma.f64 z (neg.f64 z) (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 z) (*.f64 z z))) 2) (cbrt.f64 (fma.f64 z (neg.f64 z) (*.f64 z z))) (-.f64 (*.f64 x x) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (neg.f64 z))) 2) (cbrt.f64 (*.f64 z (neg.f64 z))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (*.f64 z (neg.f64 z))) z) (hypot.f64 (sqrt.f64 (*.f64 z (neg.f64 z))) z) (-.f64 (*.f64 x x) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (neg.f64 z))) (sqrt.f64 (*.f64 z (neg.f64 z))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 z z) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) z)) (pow.f64 (cbrt.f64 z) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) 1) z (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 z (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 z (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 z (neg.f64 z) (fma.f64 z (neg.f64 z) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 z z) (fma.f64 z (neg.f64 z) (*.f64 z z))))))))) |
| 1× | egg-herbie |
| 678× | associate-/r/_binary64 |
| 625× | distribute-rgt-in_binary64 |
| 583× | distribute-lft-in_binary64 |
| 415× | associate-*l*_binary64 |
| 404× | associate-/l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 870 |
| 1 | 45 | 870 |
| 2 | 101 | 870 |
| 3 | 238 | 750 |
| 4 | 778 | 750 |
| 5 | 3282 | 750 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/2 (/.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 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/2 (/.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 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/2 (/.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 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/2 (/.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 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y)) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y)) |
(*.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)) |
| 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 (*.f64 z z) (/.f64 -1/2 y)) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (/.f64 (*.f64 x x) (/.f64 y 1/2))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (fma.f64 x x (neg.f64 (*.f64 z z))) (/.f64 1/2 y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (/.f64 (*.f64 x x) (/.f64 y 1/2))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (fma.f64 x x (neg.f64 (*.f64 z z))) (/.f64 1/2 y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (/.f64 (*.f64 x x) (/.f64 y 1/2))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (fma.f64 x x (neg.f64 (*.f64 z z))) (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 x x) (/.f64 y 1/2)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 (*.f64 x x) (/.f64 1/2 y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (/.f64 (*.f64 x x) (/.f64 y 1/2))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (fma.f64 x x (neg.f64 (*.f64 z z))) (/.f64 1/2 y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (/.f64 (*.f64 x x) (/.f64 y 1/2))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z))) |
(*.f64 (fma.f64 x x (neg.f64 (*.f64 z z))) (/.f64 1/2 y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
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(-.f64 (*.f64 x x) (*.f64 z z)) |
(*.f64 (+.f64 z x) (-.f64 x z)) |
(fma.f64 x x (neg.f64 (*.f64 z z))) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(*.f64 (+.f64 z x) (-.f64 x z)) |
(fma.f64 x x (neg.f64 (*.f64 z z))) |
(*.f64 -1 (pow.f64 z 2)) |
(neg.f64 (*.f64 z z)) |
(*.f64 z (neg.f64 z)) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(*.f64 (+.f64 z x) (-.f64 x z)) |
(fma.f64 x x (neg.f64 (*.f64 z z))) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(*.f64 (+.f64 z x) (-.f64 x z)) |
(fma.f64 x x (neg.f64 (*.f64 z z))) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(*.f64 (+.f64 z x) (-.f64 x z)) |
(fma.f64 x x (neg.f64 (*.f64 z z))) |
Compiled 12814 to 4327 computations (66.2% saved)
18 alts after pruning (13 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 637 | 8 | 645 |
| Fresh | 5 | 5 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 642 | 18 | 660 |
| Status | Error | Program |
|---|---|---|
| 14.7b | (*.f64 -1/2 (-.f64 (*.f64 x (/.f64 (neg.f64 x) y)) y)) | |
| 37.7b | (*.f64 -1/2 (-.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) 2) y)) | |
| 48.5b | (/.f64 (*.f64 y y) (*.f64 y 2)) | |
| ✓ | 15.7b | (*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)) |
| ▶ | 49.6b | (*.f64 -1/2 (*.f64 z (/.f64 z y))) |
| 47.4b | (*.f64 1/2 (/.f64 x (/.f64 y x))) | |
| ▶ | 15.7b | (*.f64 1/2 (fma.f64 (/.f64 z y) (neg.f64 z) y)) |
| ▶ | 15.7b | (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) |
| ▶ | 53.6b | (*.f64 (*.f64 z z) (/.f64 -1/2 y)) |
| 53.6b | (/.f64 (*.f64 z (neg.f64 z)) (*.f64 y 2)) | |
| ✓ | 29.8b | (*.f64 1/2 y) |
| 13.5b | (*.f64 -1/2 (-.f64 (/.f64 1 (/.f64 y (-.f64 (*.f64 z z) (*.f64 x x)))) y)) | |
| ✓ | 0.1b | (*.f64 -1/2 (-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y)) |
| ▶ | 0.1b | (*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)) |
| ✓ | 41.8b | (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y 2)) |
| 47.4b | (*.f64 x (*.f64 x (/.f64 1/2 y))) | |
| 34.1b | (pow.f64 (/.f64 (/.f64 (+.f64 y y) (+.f64 x z)) (-.f64 x z)) -1) | |
| ✓ | 51.1b | (/.f64 (*.f64 x x) (*.f64 y 2)) |
Compiled 380 to 259 computations (31.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 y (+.f64 z x)) |
| ✓ | 0.0b | (-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y) |
| ✓ | 0.2b | (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) |
Compiled 51 to 11 computations (78.4% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (/.f64 y (+.f64 z x)) |
| 1.0ms | y | @ | inf | (/.f64 y (+.f64 z x)) |
| 1.0ms | z | @ | inf | (/.f64 y (+.f64 z x)) |
| 1.0ms | y | @ | 0 | (/.f64 y (+.f64 z x)) |
| 1.0ms | y | @ | -inf | (/.f64 y (+.f64 z x)) |
| 1× | batch-egg-rewrite |
| 666× | log-prod_binary64 |
| 515× | fma-def_binary64 |
| 379× | fma-neg_binary64 |
| 321× | pow2_binary64 |
| 249× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 220 | 36 |
| 2 | 3762 | 36 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) |
(-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y) |
(/.f64 y (+.f64 z x)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (+.f64 z x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (+.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (+.f64 z x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (+.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (+.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (+.f64 z x))) (cbrt.f64 (pow.f64 (/.f64 y (+.f64 z x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y (+.f64 z x)) 2)) (cbrt.f64 (/.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (+.f64 z x))) (sqrt.f64 (/.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 z x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 z x)) 2)) (/.f64 y (cbrt.f64 (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 z x)) 2)) (cbrt.f64 (/.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 z x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 z x))) (/.f64 y (sqrt.f64 (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 z x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 z z (*.f64 x (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (-.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 z x) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 z x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 z x) y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (+.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 z x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 z x))) 1)))))) |
| 1× | egg-herbie |
| 670× | associate-/r/_binary64 |
| 547× | associate-/l/_binary64 |
| 296× | times-frac_binary64 |
| 279× | associate-+l+_binary64 |
| 270× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 2130 |
| 1 | 239 | 1775 |
| 2 | 752 | 1534 |
| 3 | 3400 | 1357 |
| 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 (*.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)) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 x 4))) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))))) |
(/.f64 y z) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (/.f64 y z)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (/.f64 y z))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 4))) (/.f64 y z)))) |
(/.f64 y z) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (/.f64 y z)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (/.f64 y z))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 4))) (/.f64 y z)))) |
(/.f64 y z) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (/.f64 y z)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (/.f64 y z))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 4))) (/.f64 y z)))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 x 4))) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 x 4))) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.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 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 (*.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 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
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(+.f64 (/.f64 y z) (*.f64 (/.f64 (/.f64 y z) z) (-.f64 (-.f64 (*.f64 (/.f64 x z) x) x) (/.f64 (pow.f64 x 3) (*.f64 z z))))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))) |
(+.f64 (/.f64 y x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 z x))) |
(-.f64 (/.f64 y x) (/.f64 (/.f64 y (/.f64 x z)) x)) |
(*.f64 (+.f64 (/.f64 (neg.f64 z) x) 1) (/.f64 y x)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 y (/.f64 (pow.f64 x 3) (*.f64 z z))) (/.f64 y x)) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))) |
(-.f64 (+.f64 (/.f64 y x) (/.f64 (*.f64 z (*.f64 y z)) (pow.f64 x 3))) (*.f64 (/.f64 y x) (/.f64 z x))) |
(-.f64 (fma.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z z) (/.f64 y x)) (/.f64 (/.f64 y (/.f64 x z)) x)) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) (-.f64 z (*.f64 (/.f64 z x) z)))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 x 4))) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))))) |
(+.f64 (+.f64 (/.f64 y (/.f64 (pow.f64 x 3) (*.f64 z z))) (/.f64 y x)) (*.f64 -1 (+.f64 (/.f64 y (/.f64 (pow.f64 x 4) (pow.f64 z 3))) (/.f64 y (/.f64 (*.f64 x x) z))))) |
(+.f64 (/.f64 (*.f64 z (*.f64 y z)) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y (pow.f64 x 4)) (pow.f64 z 3))) (*.f64 (/.f64 y x) (/.f64 z x)))) |
(-.f64 (fma.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z z) (/.f64 y x)) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 z (/.f64 (pow.f64 z 3) (*.f64 x x))))) |
(+.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) (-.f64 (*.f64 (/.f64 z x) z) (+.f64 z (/.f64 (pow.f64 z 3) (*.f64 x x)))))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))) |
(+.f64 (/.f64 y x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 z x))) |
(-.f64 (/.f64 y x) (/.f64 (/.f64 y (/.f64 x z)) x)) |
(*.f64 (+.f64 (/.f64 (neg.f64 z) x) 1) (/.f64 y x)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 y (/.f64 (pow.f64 x 3) (*.f64 z z))) (/.f64 y x)) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))) |
(-.f64 (+.f64 (/.f64 y x) (/.f64 (*.f64 z (*.f64 y z)) (pow.f64 x 3))) (*.f64 (/.f64 y x) (/.f64 z x))) |
(-.f64 (fma.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z z) (/.f64 y x)) (/.f64 (/.f64 y (/.f64 x z)) x)) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) (-.f64 z (*.f64 (/.f64 z x) z)))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 x 4))) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))))) |
(+.f64 (+.f64 (/.f64 y (/.f64 (pow.f64 x 3) (*.f64 z z))) (/.f64 y x)) (*.f64 -1 (+.f64 (/.f64 y (/.f64 (pow.f64 x 4) (pow.f64 z 3))) (/.f64 y (/.f64 (*.f64 x x) z))))) |
(+.f64 (/.f64 (*.f64 z (*.f64 y z)) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y (pow.f64 x 4)) (pow.f64 z 3))) (*.f64 (/.f64 y x) (/.f64 z x)))) |
(-.f64 (fma.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z z) (/.f64 y x)) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 z (/.f64 (pow.f64 z 3) (*.f64 x x))))) |
(+.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) (-.f64 (*.f64 (/.f64 z x) z) (+.f64 z (/.f64 (pow.f64 z 3) (*.f64 x x)))))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 z (/.f64 z y)) |
Compiled 21 to 8 computations (61.9% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 10.0b | (*.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)) |
| 0.0ms | 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 | @ | 0 | (*.f64 (*.f64 z z) (/.f64 -1/2 y)) |
| 0.0ms | y | @ | -inf | (*.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 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 | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (/.f64 z (/.f64 y z)) |
| 0.0ms | y | @ | inf | (/.f64 z (/.f64 y z)) |
| 0.0ms | y | @ | -inf | (/.f64 z (/.f64 y z)) |
| 0.0ms | z | @ | inf | (/.f64 z (/.f64 y z)) |
| 0.0ms | z | @ | 0 | (-.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 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 (/.f64 z y) (neg.f64 z) y) |
Compiled 27 to 9 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | (fma.f64 (/.f64 z y) (neg.f64 z) y) |
| 1.0ms | z | @ | inf | (fma.f64 (/.f64 z y) (neg.f64 z) y) |
| 1.0ms | y | @ | -inf | (fma.f64 (/.f64 z y) (neg.f64 z) y) |
| 1.0ms | z | @ | 0 | (fma.f64 (/.f64 z y) (neg.f64 z) y) |
| 1.0ms | y | @ | 0 | (fma.f64 (/.f64 z y) (neg.f64 z) y) |
| 1× | batch-egg-rewrite |
| 590× | pow1_binary64 |
| 545× | add-log-exp_binary64 |
| 544× | log1p-expm1-u_binary64 |
| 544× | expm1-log1p-u_binary64 |
| 532× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 127 | 8 |
| 2 | 1734 | 8 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (/.f64 z y) (neg.f64 z) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 z (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (/.f64 z y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (/.f64 z y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (/.f64 z y) z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 z y) z y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 z y) z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 z y) z y)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 z y) z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 z y) z y)) 2) (cbrt.f64 (fma.f64 (/.f64 z y) z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 z y) z y)) (sqrt.f64 (fma.f64 (/.f64 z y) z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3)) (+.f64 (*.f64 (*.f64 z (/.f64 z y)) (*.f64 z (/.f64 z y))) (-.f64 (*.f64 y y) (*.f64 (*.f64 z (/.f64 z y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z (/.f64 z y)) (*.f64 z (/.f64 z y))) (*.f64 y y)) (-.f64 (*.f64 z (/.f64 z y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 z y) z y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 z y) z y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 z y) z y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 z y) z y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 z y) z y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 z y) z y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 z y) z y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 z y) z y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 z y) z y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 z y) z y))))))) |
| 1× | egg-herbie |
| 690× | cancel-sign-sub-inv_binary64 |
| 503× | associate-*l*_binary64 |
| 456× | div-sub_binary64 |
| 434× | unswap-sqr_binary64 |
| 423× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 246 |
| 1 | 19 | 210 |
| 2 | 39 | 210 |
| 3 | 77 | 210 |
| 4 | 205 | 210 |
| 5 | 725 | 210 |
| 6 | 3108 | 210 |
| 7 | 5505 | 210 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1 (/.f64 (pow.f64 z 2) y)) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1 (/.f64 (pow.f64 z 2) y)) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1 (/.f64 (pow.f64 z 2) y)) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
y |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
y |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (neg.f64 (/.f64 (*.f64 z z) y))) |
(-.f64 y (/.f64 z (/.f64 y z))) |
(-.f64 y (*.f64 (/.f64 z y) z)) |
(-.f64 y (*.f64 z (/.f64 z y))) |
(fma.f64 z (neg.f64 (/.f64 z y)) y) |
(fma.f64 (neg.f64 z) (/.f64 z y) y) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (neg.f64 (/.f64 (*.f64 z z) y))) |
(-.f64 y (/.f64 z (/.f64 y z))) |
(-.f64 y (*.f64 (/.f64 z y) z)) |
(-.f64 y (*.f64 z (/.f64 z y))) |
(fma.f64 z (neg.f64 (/.f64 z y)) y) |
(fma.f64 (neg.f64 z) (/.f64 z y) y) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (neg.f64 (/.f64 (*.f64 z z) y))) |
(-.f64 y (/.f64 z (/.f64 y z))) |
(-.f64 y (*.f64 (/.f64 z y) z)) |
(-.f64 y (*.f64 z (/.f64 z y))) |
(fma.f64 z (neg.f64 (/.f64 z y)) y) |
(fma.f64 (neg.f64 z) (/.f64 z y) y) |
(*.f64 -1 (/.f64 (pow.f64 z 2) y)) |
(neg.f64 (/.f64 (*.f64 z z) y)) |
(neg.f64 (/.f64 z (/.f64 y z))) |
(/.f64 (*.f64 z (neg.f64 z)) y) |
(*.f64 (/.f64 z y) (neg.f64 z)) |
(/.f64 z (/.f64 y (neg.f64 z))) |
(*.f64 z (neg.f64 (/.f64 z y))) |
(*.f64 (neg.f64 z) (/.f64 z y)) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (neg.f64 (/.f64 (*.f64 z z) y))) |
(-.f64 y (/.f64 z (/.f64 y z))) |
(-.f64 y (*.f64 (/.f64 z y) z)) |
(-.f64 y (*.f64 z (/.f64 z y))) |
(fma.f64 z (neg.f64 (/.f64 z y)) y) |
(fma.f64 (neg.f64 z) (/.f64 z y) y) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (neg.f64 (/.f64 (*.f64 z z) y))) |
(-.f64 y (/.f64 z (/.f64 y z))) |
(-.f64 y (*.f64 (/.f64 z y) z)) |
(-.f64 y (*.f64 z (/.f64 z y))) |
(fma.f64 z (neg.f64 (/.f64 z y)) y) |
(fma.f64 (neg.f64 z) (/.f64 z y) y) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (neg.f64 (/.f64 (*.f64 z z) y))) |
(-.f64 y (/.f64 z (/.f64 y z))) |
(-.f64 y (*.f64 (/.f64 z y) z)) |
(-.f64 y (*.f64 z (/.f64 z y))) |
(fma.f64 z (neg.f64 (/.f64 z y)) y) |
(fma.f64 (neg.f64 z) (/.f64 z y) y) |
(*.f64 -1 (/.f64 (pow.f64 z 2) y)) |
(neg.f64 (/.f64 (*.f64 z z) y)) |
(neg.f64 (/.f64 z (/.f64 y z))) |
(/.f64 (*.f64 z (neg.f64 z)) y) |
(*.f64 (/.f64 z y) (neg.f64 z)) |
(/.f64 z (/.f64 y (neg.f64 z))) |
(*.f64 z (neg.f64 (/.f64 z y))) |
(*.f64 (neg.f64 z) (/.f64 z y)) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (neg.f64 (/.f64 (*.f64 z z) y))) |
(-.f64 y (/.f64 z (/.f64 y z))) |
(-.f64 y (*.f64 (/.f64 z y) z)) |
(-.f64 y (*.f64 z (/.f64 z y))) |
(fma.f64 z (neg.f64 (/.f64 z y)) y) |
(fma.f64 (neg.f64 z) (/.f64 z y) y) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (neg.f64 (/.f64 (*.f64 z z) y))) |
(-.f64 y (/.f64 z (/.f64 y z))) |
(-.f64 y (*.f64 (/.f64 z y) z)) |
(-.f64 y (*.f64 z (/.f64 z y))) |
(fma.f64 z (neg.f64 (/.f64 z y)) y) |
(fma.f64 (neg.f64 z) (/.f64 z y) y) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (neg.f64 (/.f64 (*.f64 z z) y))) |
(-.f64 y (/.f64 z (/.f64 y z))) |
(-.f64 y (*.f64 (/.f64 z y) z)) |
(-.f64 y (*.f64 z (/.f64 z y))) |
(fma.f64 z (neg.f64 (/.f64 z y)) y) |
(fma.f64 (neg.f64 z) (/.f64 z y) y) |
(*.f64 -1 (/.f64 (pow.f64 z 2) y)) |
(neg.f64 (/.f64 (*.f64 z z) y)) |
(neg.f64 (/.f64 z (/.f64 y z))) |
(/.f64 (*.f64 z (neg.f64 z)) y) |
(*.f64 (/.f64 z y) (neg.f64 z)) |
(/.f64 z (/.f64 y (neg.f64 z))) |
(*.f64 z (neg.f64 (/.f64 z y))) |
(*.f64 (neg.f64 z) (/.f64 z y)) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (neg.f64 (/.f64 (*.f64 z z) y))) |
(-.f64 y (/.f64 z (/.f64 y z))) |
(-.f64 y (*.f64 (/.f64 z y) z)) |
(-.f64 y (*.f64 z (/.f64 z y))) |
(fma.f64 z (neg.f64 (/.f64 z y)) y) |
(fma.f64 (neg.f64 z) (/.f64 z y) y) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (neg.f64 (/.f64 (*.f64 z z) y))) |
(-.f64 y (/.f64 z (/.f64 y z))) |
(-.f64 y (*.f64 (/.f64 z y) z)) |
(-.f64 y (*.f64 z (/.f64 z y))) |
(fma.f64 z (neg.f64 (/.f64 z y)) y) |
(fma.f64 (neg.f64 z) (/.f64 z y) y) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (neg.f64 (/.f64 (*.f64 z z) y))) |
(-.f64 y (/.f64 z (/.f64 y z))) |
(-.f64 y (*.f64 (/.f64 z y) z)) |
(-.f64 y (*.f64 z (/.f64 z y))) |
(fma.f64 z (neg.f64 (/.f64 z y)) y) |
(fma.f64 (neg.f64 z) (/.f64 z y) y) |
y |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (neg.f64 (/.f64 (*.f64 z z) y))) |
(-.f64 y (/.f64 z (/.f64 y z))) |
(-.f64 y (*.f64 (/.f64 z y) z)) |
(-.f64 y (*.f64 z (/.f64 z y))) |
(fma.f64 z (neg.f64 (/.f64 z y)) y) |
(fma.f64 (neg.f64 z) (/.f64 z y) y) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (neg.f64 (/.f64 (*.f64 z z) y))) |
(-.f64 y (/.f64 z (/.f64 y z))) |
(-.f64 y (*.f64 (/.f64 z y) z)) |
(-.f64 y (*.f64 z (/.f64 z y))) |
(fma.f64 z (neg.f64 (/.f64 z y)) y) |
(fma.f64 (neg.f64 z) (/.f64 z y) y) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (neg.f64 (/.f64 (*.f64 z z) y))) |
(-.f64 y (/.f64 z (/.f64 y z))) |
(-.f64 y (*.f64 (/.f64 z y) z)) |
(-.f64 y (*.f64 z (/.f64 z y))) |
(fma.f64 z (neg.f64 (/.f64 z y)) y) |
(fma.f64 (neg.f64 z) (/.f64 z y) y) |
y |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (neg.f64 (/.f64 (*.f64 z z) y))) |
(-.f64 y (/.f64 z (/.f64 y z))) |
(-.f64 y (*.f64 (/.f64 z y) z)) |
(-.f64 y (*.f64 z (/.f64 z y))) |
(fma.f64 z (neg.f64 (/.f64 z y)) y) |
(fma.f64 (neg.f64 z) (/.f64 z y) y) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (neg.f64 (/.f64 (*.f64 z z) y))) |
(-.f64 y (/.f64 z (/.f64 y z))) |
(-.f64 y (*.f64 (/.f64 z y) z)) |
(-.f64 y (*.f64 z (/.f64 z y))) |
(fma.f64 z (neg.f64 (/.f64 z y)) y) |
(fma.f64 (neg.f64 z) (/.f64 z y) y) |
(+.f64 y (*.f64 -1 (/.f64 (pow.f64 z 2) y))) |
(+.f64 y (neg.f64 (/.f64 (*.f64 z z) y))) |
(-.f64 y (/.f64 z (/.f64 y z))) |
(-.f64 y (*.f64 (/.f64 z y) z)) |
(-.f64 y (*.f64 z (/.f64 z y))) |
(fma.f64 z (neg.f64 (/.f64 z y)) y) |
(fma.f64 (neg.f64 z) (/.f64 z y) y) |
Compiled 9257 to 3122 computations (66.3% saved)
20 alts after pruning (11 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 471 | 6 | 477 |
| Fresh | 3 | 5 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 8 | 9 |
| Total | 475 | 20 | 495 |
| Status | Error | Program |
|---|---|---|
| 48.5b | (/.f64 (*.f64 y y) (*.f64 y 2)) | |
| ▶ | 53.6b | (/.f64 (*.f64 (*.f64 z z) -1/2) y) |
| ✓ | 15.7b | (*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)) |
| 47.4b | (*.f64 1/2 (/.f64 x (/.f64 y x))) | |
| 14.7b | (*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) | |
| ✓ | 49.6b | (*.f64 -1/2 (*.f64 z (/.f64 z y))) |
| ▶ | 0.2b | (*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (*.f64 (/.f64 1 (+.f64 z x)) y)) y)) |
| ▶ | 14.5b | (*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y x)) y)) |
| ✓ | 15.7b | (*.f64 1/2 (fma.f64 (/.f64 z y) (neg.f64 z) y)) |
| ▶ | 49.6b | (*.f64 -1/2 (/.f64 z (/.f64 y z))) |
| ✓ | 15.7b | (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) |
| ✓ | 29.8b | (*.f64 1/2 y) |
| 13.5b | (*.f64 -1/2 (-.f64 (/.f64 1 (/.f64 y (-.f64 (*.f64 z z) (*.f64 x x)))) y)) | |
| ✓ | 0.1b | (*.f64 -1/2 (-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y)) |
| 56.3b | (*.f64 -1/2 (pow.f64 (/.f64 z (sqrt.f64 y)) 2)) | |
| ✓ | 41.8b | (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y 2)) |
| ▶ | 47.4b | (*.f64 x (*.f64 x (/.f64 1/2 y))) |
| ✓ | 53.6b | (*.f64 (*.f64 z z) (/.f64 -1/2 y)) |
| 34.1b | (pow.f64 (/.f64 (/.f64 (+.f64 y y) (+.f64 x z)) (-.f64 x z)) -1) | |
| ✓ | 51.1b | (/.f64 (*.f64 x x) (*.f64 y 2)) |
Compiled 382 to 261 computations (31.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (+.f64 z x)) |
| ✓ | 0.0b | (-.f64 (/.f64 (-.f64 z x) (*.f64 (/.f64 1 (+.f64 z x)) y)) y) |
| ✓ | 0.2b | (/.f64 (-.f64 z x) (*.f64 (/.f64 1 (+.f64 z x)) y)) |
| ✓ | 0.3b | (*.f64 (/.f64 1 (+.f64 z x)) y) |
Compiled 65 to 28 computations (56.9% saved)
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (-.f64 (/.f64 (-.f64 z x) (*.f64 (/.f64 1 (+.f64 z x)) y)) y) |
| 1.0ms | z | @ | 0 | (*.f64 (/.f64 1 (+.f64 z x)) y) |
| 0.0ms | z | @ | 0 | (/.f64 1 (+.f64 z x)) |
| 0.0ms | z | @ | inf | (/.f64 1 (+.f64 z x)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (+.f64 z x)) |
| 1× | batch-egg-rewrite |
| 717× | log-prod_binary64 |
| 493× | fma-def_binary64 |
| 372× | fma-neg_binary64 |
| 254× | log-div_binary64 |
| 236× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 43 |
| 1 | 255 | 43 |
| 2 | 4050 | 43 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (+.f64 z x)) y) |
(/.f64 (-.f64 z x) (*.f64 (/.f64 1 (+.f64 z x)) y)) |
(-.f64 (/.f64 (-.f64 z x) (*.f64 (/.f64 1 (+.f64 z x)) y)) y) |
(/.f64 1 (+.f64 z x)) |
| Outputs |
|---|
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(sqrt.f64 y)) (-.f64 (sqrt.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))) (sqrt.f64 y)) (+.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 z x)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 z x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 z x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 z x))) (cbrt.f64 (pow.f64 (+.f64 z x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 z x) -2)) (/.f64 1 (cbrt.f64 (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 z x) -1/2) (pow.f64 (+.f64 z x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 z x)) 2)) (/.f64 1 (cbrt.f64 (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 z z (*.f64 x (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 z z) (*.f64 x x))) (-.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 z x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (+.f64 z x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 z x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 z x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 z x))) 1)))))) |
| 1× | egg-herbie |
| 663× | associate-/l/_binary64 |
| 380× | times-frac_binary64 |
| 355× | fma-def_binary64 |
| 264× | sub-neg_binary64 |
| 259× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 2721 |
| 1 | 295 | 2333 |
| 2 | 947 | 2056 |
| 3 | 4213 | 1879 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 x 4))) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))))) |
(/.f64 y z) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (/.f64 y z)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (/.f64 y z))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 4))) (/.f64 y z)))) |
(/.f64 y z) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (/.f64 y z)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (/.f64 y z))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 4))) (/.f64 y z)))) |
(/.f64 y z) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (/.f64 y z)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (/.f64 y z))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 4))) (/.f64 y z)))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 x 4))) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 x 4))) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))))) |
(/.f64 y (+.f64 z x)) |
(/.f64 y (+.f64 z x)) |
(/.f64 y (+.f64 z x)) |
(/.f64 y (+.f64 z x)) |
(/.f64 y (+.f64 z x)) |
(/.f64 y (+.f64 z x)) |
(/.f64 y (+.f64 z x)) |
(/.f64 y (+.f64 z x)) |
(/.f64 y (+.f64 z x)) |
(/.f64 y (+.f64 z x)) |
(/.f64 y (+.f64 z x)) |
(/.f64 y (+.f64 z 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 (/.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 (*.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)) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 z (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 z (pow.f64 x 2))))) |
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (/.f64 z (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 4)))))) |
(/.f64 1 z) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 z 4))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)))) |
(/.f64 1 z) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 z 4))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)))) |
(/.f64 1 z) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 z 4))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 z (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 z (pow.f64 x 2))))) |
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (/.f64 z (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 4)))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 z (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 z (pow.f64 x 2))))) |
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (/.f64 z (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 4)))))) |
| Outputs |
|---|
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))) |
(+.f64 (/.f64 y x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 z x))) |
(*.f64 (+.f64 (neg.f64 (/.f64 z x)) 1) (/.f64 y x)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 y (/.f64 (pow.f64 x 3) (*.f64 z z))) (/.f64 y x)) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))) |
(+.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 z x))) (*.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z z))) |
(-.f64 (fma.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z z) (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 z x))) |
(+.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x (/.f64 x z))) (+.f64 -1 (/.f64 z x)))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 x 4))) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))))) |
(+.f64 (+.f64 (/.f64 y (/.f64 (pow.f64 x 3) (*.f64 z z))) (/.f64 y x)) (fma.f64 -1 (/.f64 y (/.f64 (pow.f64 x 4) (pow.f64 z 3))) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z))))) |
(+.f64 (*.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z z)) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y (pow.f64 x 4)) (pow.f64 z 3))) (*.f64 (/.f64 y x) (/.f64 z x)))) |
(-.f64 (fma.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z z) (/.f64 y x)) (*.f64 (/.f64 (/.f64 y x) x) (+.f64 z (/.f64 (pow.f64 z 3) (*.f64 x x))))) |
(+.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) (-.f64 (*.f64 (/.f64 z x) z) (+.f64 z (/.f64 (pow.f64 z 3) (*.f64 x x)))))) |
(/.f64 y z) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (/.f64 y z)) |
(fma.f64 -1 (/.f64 y (/.f64 (*.f64 z z) x)) (/.f64 y z)) |
(-.f64 (/.f64 y z) (*.f64 (/.f64 y z) (/.f64 x z))) |
(-.f64 (/.f64 y z) (*.f64 x (/.f64 (/.f64 y z) z))) |
(*.f64 (+.f64 (neg.f64 (/.f64 x z)) 1) (/.f64 y z)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (/.f64 y z))) |
(+.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 z z) x)) (/.f64 y z)) (/.f64 (*.f64 y (*.f64 x x)) (pow.f64 z 3))) |
(+.f64 (/.f64 y z) (-.f64 (*.f64 (/.f64 y (pow.f64 z 3)) (*.f64 x x)) (*.f64 (/.f64 y z) (/.f64 x z)))) |
(+.f64 (/.f64 y z) (*.f64 (/.f64 (/.f64 y z) z) (-.f64 (*.f64 (/.f64 x z) x) x))) |
(-.f64 (/.f64 y z) (*.f64 (/.f64 y (*.f64 z z)) (-.f64 x (*.f64 (/.f64 x z) x)))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 4))) (/.f64 y z)))) |
(+.f64 (/.f64 (*.f64 y (*.f64 x x)) (pow.f64 z 3)) (fma.f64 -1 (/.f64 y (/.f64 (*.f64 z z) x)) (fma.f64 -1 (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 4)) (/.f64 y z)))) |
(+.f64 (*.f64 (/.f64 y (pow.f64 z 3)) (*.f64 x x)) (-.f64 (-.f64 (/.f64 y z) (*.f64 (/.f64 y (pow.f64 z 4)) (pow.f64 x 3))) (*.f64 (/.f64 y z) (/.f64 x z)))) |
(+.f64 (-.f64 (/.f64 y z) (*.f64 (pow.f64 x 3) (/.f64 y (pow.f64 z 4)))) (*.f64 (/.f64 (/.f64 y z) z) (-.f64 (*.f64 (/.f64 x z) x) x))) |
(+.f64 (/.f64 y z) (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (*.f64 (/.f64 x z) x) (+.f64 x (/.f64 (pow.f64 x 3) (*.f64 z z)))))) |
(/.f64 y z) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (/.f64 y z)) |
(fma.f64 -1 (/.f64 y (/.f64 (*.f64 z z) x)) (/.f64 y z)) |
(-.f64 (/.f64 y z) (*.f64 (/.f64 y z) (/.f64 x z))) |
(-.f64 (/.f64 y z) (*.f64 x (/.f64 (/.f64 y z) z))) |
(*.f64 (+.f64 (neg.f64 (/.f64 x z)) 1) (/.f64 y z)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (/.f64 y z))) |
(+.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 z z) x)) (/.f64 y z)) (/.f64 (*.f64 y (*.f64 x x)) (pow.f64 z 3))) |
(+.f64 (/.f64 y z) (-.f64 (*.f64 (/.f64 y (pow.f64 z 3)) (*.f64 x x)) (*.f64 (/.f64 y z) (/.f64 x z)))) |
(+.f64 (/.f64 y z) (*.f64 (/.f64 (/.f64 y z) z) (-.f64 (*.f64 (/.f64 x z) x) x))) |
(-.f64 (/.f64 y z) (*.f64 (/.f64 y (*.f64 z z)) (-.f64 x (*.f64 (/.f64 x z) x)))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 4))) (/.f64 y z)))) |
(+.f64 (/.f64 (*.f64 y (*.f64 x x)) (pow.f64 z 3)) (fma.f64 -1 (/.f64 y (/.f64 (*.f64 z z) x)) (fma.f64 -1 (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 4)) (/.f64 y z)))) |
(+.f64 (*.f64 (/.f64 y (pow.f64 z 3)) (*.f64 x x)) (-.f64 (-.f64 (/.f64 y z) (*.f64 (/.f64 y (pow.f64 z 4)) (pow.f64 x 3))) (*.f64 (/.f64 y z) (/.f64 x z)))) |
(+.f64 (-.f64 (/.f64 y z) (*.f64 (pow.f64 x 3) (/.f64 y (pow.f64 z 4)))) (*.f64 (/.f64 (/.f64 y z) z) (-.f64 (*.f64 (/.f64 x z) x) x))) |
(+.f64 (/.f64 y z) (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (*.f64 (/.f64 x z) x) (+.f64 x (/.f64 (pow.f64 x 3) (*.f64 z z)))))) |
(/.f64 y z) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (/.f64 y z)) |
(fma.f64 -1 (/.f64 y (/.f64 (*.f64 z z) x)) (/.f64 y z)) |
(-.f64 (/.f64 y z) (*.f64 (/.f64 y z) (/.f64 x z))) |
(-.f64 (/.f64 y z) (*.f64 x (/.f64 (/.f64 y z) z))) |
(*.f64 (+.f64 (neg.f64 (/.f64 x z)) 1) (/.f64 y z)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (/.f64 y z))) |
(+.f64 (fma.f64 -1 (/.f64 y (/.f64 (*.f64 z z) x)) (/.f64 y z)) (/.f64 (*.f64 y (*.f64 x x)) (pow.f64 z 3))) |
(+.f64 (/.f64 y z) (-.f64 (*.f64 (/.f64 y (pow.f64 z 3)) (*.f64 x x)) (*.f64 (/.f64 y z) (/.f64 x z)))) |
(+.f64 (/.f64 y z) (*.f64 (/.f64 (/.f64 y z) z) (-.f64 (*.f64 (/.f64 x z) x) x))) |
(-.f64 (/.f64 y z) (*.f64 (/.f64 y (*.f64 z z)) (-.f64 x (*.f64 (/.f64 x z) x)))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 4))) (/.f64 y z)))) |
(+.f64 (/.f64 (*.f64 y (*.f64 x x)) (pow.f64 z 3)) (fma.f64 -1 (/.f64 y (/.f64 (*.f64 z z) x)) (fma.f64 -1 (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 4)) (/.f64 y z)))) |
(+.f64 (*.f64 (/.f64 y (pow.f64 z 3)) (*.f64 x x)) (-.f64 (-.f64 (/.f64 y z) (*.f64 (/.f64 y (pow.f64 z 4)) (pow.f64 x 3))) (*.f64 (/.f64 y z) (/.f64 x z)))) |
(+.f64 (-.f64 (/.f64 y z) (*.f64 (pow.f64 x 3) (/.f64 y (pow.f64 z 4)))) (*.f64 (/.f64 (/.f64 y z) z) (-.f64 (*.f64 (/.f64 x z) x) x))) |
(+.f64 (/.f64 y z) (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (*.f64 (/.f64 x z) x) (+.f64 x (/.f64 (pow.f64 x 3) (*.f64 z z)))))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))) |
(+.f64 (/.f64 y x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 z x))) |
(*.f64 (+.f64 (neg.f64 (/.f64 z x)) 1) (/.f64 y x)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 y (/.f64 (pow.f64 x 3) (*.f64 z z))) (/.f64 y x)) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))) |
(+.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 z x))) (*.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z z))) |
(-.f64 (fma.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z z) (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 z x))) |
(+.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x (/.f64 x z))) (+.f64 -1 (/.f64 z x)))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 x 4))) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))))) |
(+.f64 (+.f64 (/.f64 y (/.f64 (pow.f64 x 3) (*.f64 z z))) (/.f64 y x)) (fma.f64 -1 (/.f64 y (/.f64 (pow.f64 x 4) (pow.f64 z 3))) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z))))) |
(+.f64 (*.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z z)) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y (pow.f64 x 4)) (pow.f64 z 3))) (*.f64 (/.f64 y x) (/.f64 z x)))) |
(-.f64 (fma.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z z) (/.f64 y x)) (*.f64 (/.f64 (/.f64 y x) x) (+.f64 z (/.f64 (pow.f64 z 3) (*.f64 x x))))) |
(+.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) (-.f64 (*.f64 (/.f64 z x) z) (+.f64 z (/.f64 (pow.f64 z 3) (*.f64 x x)))))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))) |
(+.f64 (/.f64 y x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 z x))) |
(*.f64 (+.f64 (neg.f64 (/.f64 z x)) 1) (/.f64 y x)) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 y (/.f64 (pow.f64 x 3) (*.f64 z z))) (/.f64 y x)) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))) |
(+.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 z x))) (*.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z z))) |
(-.f64 (fma.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z z) (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 z x))) |
(+.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x (/.f64 x z))) (+.f64 -1 (/.f64 z x)))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 z 2)) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 z 3)) (pow.f64 x 4))) (*.f64 -1 (/.f64 (*.f64 y z) (pow.f64 x 2)))))) |
(+.f64 (+.f64 (/.f64 y (/.f64 (pow.f64 x 3) (*.f64 z z))) (/.f64 y x)) (fma.f64 -1 (/.f64 y (/.f64 (pow.f64 x 4) (pow.f64 z 3))) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z))))) |
(+.f64 (*.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z z)) (-.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y (pow.f64 x 4)) (pow.f64 z 3))) (*.f64 (/.f64 y x) (/.f64 z x)))) |
(-.f64 (fma.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z z) (/.f64 y x)) (*.f64 (/.f64 (/.f64 y x) x) (+.f64 z (/.f64 (pow.f64 z 3) (*.f64 x x))))) |
(+.f64 (/.f64 y x) (*.f64 (/.f64 y (*.f64 x x)) (-.f64 (*.f64 (/.f64 z x) z) (+.f64 z (/.f64 (pow.f64 z 3) (*.f64 x x)))))) |
(/.f64 y (+.f64 z x)) |
(/.f64 y (+.f64 x z)) |
(/.f64 y (+.f64 z x)) |
(/.f64 y (+.f64 x z)) |
(/.f64 y (+.f64 z x)) |
(/.f64 y (+.f64 x z)) |
(/.f64 y (+.f64 z x)) |
(/.f64 y (+.f64 x z)) |
(/.f64 y (+.f64 z x)) |
(/.f64 y (+.f64 x z)) |
(/.f64 y (+.f64 z x)) |
(/.f64 y (+.f64 x z)) |
(/.f64 y (+.f64 z x)) |
(/.f64 y (+.f64 x z)) |
(/.f64 y (+.f64 z x)) |
(/.f64 y (+.f64 x z)) |
(/.f64 y (+.f64 z x)) |
(/.f64 y (+.f64 x z)) |
(/.f64 y (+.f64 z x)) |
(/.f64 y (+.f64 x z)) |
(/.f64 y (+.f64 z x)) |
(/.f64 y (+.f64 x z)) |
(/.f64 y (+.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 (*.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 (*.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 x (/.f64 y x))) |
(-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) |
(+.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 x (/.f64 y x))) |
(-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(*.f64 (/.f64 z 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 (/.f64 z 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 (*.f64 z z) y)) (/.f64 x (/.f64 y x))) |
(-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) |
(+.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 x (/.f64 y x))) |
(-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(*.f64 (/.f64 z y) z) |
(+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)) |
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(*.f64 (/.f64 z y) z) |
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(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) 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 (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 x (/.f64 y x))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (*.f64 (/.f64 x y) x))) |
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.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 (+.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 (+.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 (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 x (/.f64 y x))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (*.f64 (/.f64 x y) x))) |
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) 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 (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 x (/.f64 y x))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (*.f64 (/.f64 x y) x))) |
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y) |
(/.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 x (/.f64 y x))) |
(-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) |
(+.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 x (/.f64 y x))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (*.f64 (/.f64 x y) x))) |
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) 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 x (/.f64 y x))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (*.f64 (/.f64 x y) x))) |
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) 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 x (/.f64 y x))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (*.f64 (/.f64 x y) x))) |
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) 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 x (/.f64 y x))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (*.f64 (/.f64 x y) x))) |
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) 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 x (/.f64 y x))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (*.f64 (/.f64 x y) x))) |
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) 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 x (/.f64 y x))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (*.f64 (/.f64 x y) x))) |
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) 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 x (/.f64 y x))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (*.f64 (/.f64 x y) x))) |
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) 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 x (/.f64 y x))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (*.f64 (/.f64 x y) x))) |
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) 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 x (/.f64 y x))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (*.f64 (/.f64 x y) x))) |
(-.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 z (pow.f64 x 2)))) |
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 z (*.f64 x x)))) |
(-.f64 (/.f64 1 x) (/.f64 z (*.f64 x x))) |
(-.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x)) |
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 z (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 z (*.f64 x x)))) (/.f64 (*.f64 z z) (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 (*.f64 z z) (pow.f64 x 3))) (/.f64 z (*.f64 x x))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (/.f64 z x) x) (+.f64 (/.f64 z x) -1))) |
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (/.f64 z (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 4)))))) |
(+.f64 (+.f64 (/.f64 (*.f64 z z) (pow.f64 x 3)) (/.f64 1 x)) (*.f64 -1 (+.f64 (/.f64 z (*.f64 x x)) (/.f64 (pow.f64 z 3) (pow.f64 x 4))))) |
(+.f64 (/.f64 (*.f64 z z) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 1 x) (/.f64 z (*.f64 x x))) (/.f64 (pow.f64 z 3) (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 (/.f64 z x) x) (+.f64 (/.f64 z x) -1)) (/.f64 (pow.f64 z 3) (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (/.f64 z x) x) (-.f64 (/.f64 z x) (+.f64 (*.f64 (/.f64 z x) (/.f64 z x)) 1)))) |
(/.f64 1 z) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)) |
(fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 1 z)) |
(-.f64 (/.f64 1 z) (/.f64 x (*.f64 z z))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z))) |
(+.f64 (fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 1 z)) (/.f64 (*.f64 x x) (pow.f64 z 3))) |
(+.f64 (/.f64 1 z) (-.f64 (/.f64 x (/.f64 (pow.f64 z 3) x)) (/.f64 x (*.f64 z z)))) |
(+.f64 (/.f64 1 z) (*.f64 (/.f64 x (*.f64 z z)) (+.f64 (/.f64 x z) -1))) |
(+.f64 (/.f64 1 z) (*.f64 (/.f64 x (*.f64 z z)) (+.f64 -1 (/.f64 x z)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 z 4))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)))) |
(fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 z 4)) (+.f64 (fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 1 z)) (/.f64 (*.f64 x x) (pow.f64 z 3)))) |
(-.f64 (+.f64 (/.f64 1 z) (-.f64 (/.f64 x (/.f64 (pow.f64 z 3) x)) (/.f64 x (*.f64 z z)))) (/.f64 (pow.f64 x 3) (pow.f64 z 4))) |
(+.f64 (/.f64 1 z) (-.f64 (*.f64 (/.f64 x (*.f64 z z)) (+.f64 (/.f64 x z) -1)) (/.f64 (pow.f64 x 3) (pow.f64 z 4)))) |
(+.f64 (/.f64 1 z) (-.f64 (*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 x (*.f64 (/.f64 x z) x))) (/.f64 x (*.f64 z z)))) |
(/.f64 1 z) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)) |
(fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 1 z)) |
(-.f64 (/.f64 1 z) (/.f64 x (*.f64 z z))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z))) |
(+.f64 (fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 1 z)) (/.f64 (*.f64 x x) (pow.f64 z 3))) |
(+.f64 (/.f64 1 z) (-.f64 (/.f64 x (/.f64 (pow.f64 z 3) x)) (/.f64 x (*.f64 z z)))) |
(+.f64 (/.f64 1 z) (*.f64 (/.f64 x (*.f64 z z)) (+.f64 (/.f64 x z) -1))) |
(+.f64 (/.f64 1 z) (*.f64 (/.f64 x (*.f64 z z)) (+.f64 -1 (/.f64 x z)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 z 4))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)))) |
(fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 z 4)) (+.f64 (fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 1 z)) (/.f64 (*.f64 x x) (pow.f64 z 3)))) |
(-.f64 (+.f64 (/.f64 1 z) (-.f64 (/.f64 x (/.f64 (pow.f64 z 3) x)) (/.f64 x (*.f64 z z)))) (/.f64 (pow.f64 x 3) (pow.f64 z 4))) |
(+.f64 (/.f64 1 z) (-.f64 (*.f64 (/.f64 x (*.f64 z z)) (+.f64 (/.f64 x z) -1)) (/.f64 (pow.f64 x 3) (pow.f64 z 4)))) |
(+.f64 (/.f64 1 z) (-.f64 (*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 x (*.f64 (/.f64 x z) x))) (/.f64 x (*.f64 z z)))) |
(/.f64 1 z) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)) |
(fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 1 z)) |
(-.f64 (/.f64 1 z) (/.f64 x (*.f64 z z))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z))) |
(+.f64 (fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 1 z)) (/.f64 (*.f64 x x) (pow.f64 z 3))) |
(+.f64 (/.f64 1 z) (-.f64 (/.f64 x (/.f64 (pow.f64 z 3) x)) (/.f64 x (*.f64 z z)))) |
(+.f64 (/.f64 1 z) (*.f64 (/.f64 x (*.f64 z z)) (+.f64 (/.f64 x z) -1))) |
(+.f64 (/.f64 1 z) (*.f64 (/.f64 x (*.f64 z z)) (+.f64 -1 (/.f64 x z)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 z 4))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 z 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 z 2))) (/.f64 1 z)))) |
(fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 z 4)) (+.f64 (fma.f64 -1 (/.f64 x (*.f64 z z)) (/.f64 1 z)) (/.f64 (*.f64 x x) (pow.f64 z 3)))) |
(-.f64 (+.f64 (/.f64 1 z) (-.f64 (/.f64 x (/.f64 (pow.f64 z 3) x)) (/.f64 x (*.f64 z z)))) (/.f64 (pow.f64 x 3) (pow.f64 z 4))) |
(+.f64 (/.f64 1 z) (-.f64 (*.f64 (/.f64 x (*.f64 z z)) (+.f64 (/.f64 x z) -1)) (/.f64 (pow.f64 x 3) (pow.f64 z 4)))) |
(+.f64 (/.f64 1 z) (-.f64 (*.f64 (/.f64 x (pow.f64 z 3)) (-.f64 x (*.f64 (/.f64 x z) x))) (/.f64 x (*.f64 z z)))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 z (pow.f64 x 2)))) |
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 z (*.f64 x x)))) |
(-.f64 (/.f64 1 x) (/.f64 z (*.f64 x x))) |
(-.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x)) |
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 z (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 z (*.f64 x x)))) (/.f64 (*.f64 z z) (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 (*.f64 z z) (pow.f64 x 3))) (/.f64 z (*.f64 x x))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (/.f64 z x) x) (+.f64 (/.f64 z x) -1))) |
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (/.f64 z (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 4)))))) |
(+.f64 (+.f64 (/.f64 (*.f64 z z) (pow.f64 x 3)) (/.f64 1 x)) (*.f64 -1 (+.f64 (/.f64 z (*.f64 x x)) (/.f64 (pow.f64 z 3) (pow.f64 x 4))))) |
(+.f64 (/.f64 (*.f64 z z) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 1 x) (/.f64 z (*.f64 x x))) (/.f64 (pow.f64 z 3) (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 (/.f64 z x) x) (+.f64 (/.f64 z x) -1)) (/.f64 (pow.f64 z 3) (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (/.f64 z x) x) (-.f64 (/.f64 z x) (+.f64 (*.f64 (/.f64 z x) (/.f64 z x)) 1)))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 z (pow.f64 x 2)))) |
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 z (*.f64 x x)))) |
(-.f64 (/.f64 1 x) (/.f64 z (*.f64 x x))) |
(-.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x)) |
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 z (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 z (*.f64 x x)))) (/.f64 (*.f64 z z) (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 (*.f64 z z) (pow.f64 x 3))) (/.f64 z (*.f64 x x))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (/.f64 z x) x) (+.f64 (/.f64 z x) -1))) |
(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (/.f64 z (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 z 3) (pow.f64 x 4)))))) |
(+.f64 (+.f64 (/.f64 (*.f64 z z) (pow.f64 x 3)) (/.f64 1 x)) (*.f64 -1 (+.f64 (/.f64 z (*.f64 x x)) (/.f64 (pow.f64 z 3) (pow.f64 x 4))))) |
(+.f64 (/.f64 (*.f64 z z) (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 1 x) (/.f64 z (*.f64 x x))) (/.f64 (pow.f64 z 3) (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 (/.f64 z x) x) (+.f64 (/.f64 z x) -1)) (/.f64 (pow.f64 z 3) (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (/.f64 z x) x) (-.f64 (/.f64 z x) (+.f64 (*.f64 (/.f64 z x) (/.f64 z x)) 1)))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (/.f64 z (/.f64 y z)) |
Compiled 21 to 8 computations (61.9% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 x (*.f64 x (/.f64 1/2 y))) |
| ✓ | 0.2b | (*.f64 x (/.f64 1/2 y)) |
Compiled 21 to 13 computations (38.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 x (/.f64 1/2 y)) |
| 1.0ms | y | @ | inf | (*.f64 x (/.f64 1/2 y)) |
| 1.0ms | y | @ | 0 | (*.f64 x (/.f64 1/2 y)) |
| 1.0ms | x | @ | inf | (*.f64 x (/.f64 1/2 y)) |
| 0.0ms | x | @ | -inf | (*.f64 x (/.f64 1/2 y)) |
| 1× | batch-egg-rewrite |
| 724× | pow1_binary64 |
| 671× | add-log-exp_binary64 |
| 671× | log1p-expm1-u_binary64 |
| 671× | expm1-log1p-u_binary64 |
| 658× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 149 | 17 |
| 2 | 1841 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (/.f64 1/2 y)) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 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 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 1/2 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 1/2) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 1/2)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) 1/2) 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) -1/2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/2 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (/.f64 1/2 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 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 x (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 1/2 y))))))))) |
| 1× | egg-herbie |
| 1371× | associate-*l/_binary64 |
| 1103× | associate-*r/_binary64 |
| 349× | sqr-pow_binary64 |
| 317× | *-commutative_binary64 |
| 242× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 408 |
| 1 | 21 | 408 |
| 2 | 37 | 408 |
| 3 | 69 | 408 |
| 4 | 185 | 408 |
| 5 | 690 | 408 |
| 6 | 1804 | 408 |
| 7 | 2823 | 408 |
| 8 | 2933 | 408 |
| 9 | 3076 | 408 |
| 10 | 3257 | 408 |
| 11 | 3527 | 408 |
| 12 | 3853 | 408 |
| 13 | 5337 | 408 |
| 14 | 7990 | 408 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x 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)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 x (/.f64 1/2 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 (/.f64 x y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 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 (/.f64 x y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 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 (/.f64 x y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 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 (/.f64 x y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 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 (/.f64 x y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 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 (/.f64 x y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 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 (/.f64 x y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 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 (/.f64 x y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 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 (/.f64 x y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 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 (/.f64 x y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 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 (/.f64 x y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 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 (/.f64 x y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 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 (/.f64 x y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 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 (/.f64 x y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 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 (/.f64 x y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 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 (/.f64 x y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 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 (/.f64 x y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 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 (/.f64 x y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 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 (/.f64 x y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 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 (/.f64 x y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 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 (/.f64 x y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 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 (/.f64 x y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 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 (/.f64 x y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 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 (/.f64 x y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (*.f64 z z) -1/2) |
| ✓ | 9.9b | (/.f64 (*.f64 (*.f64 z z) -1/2) y) |
Compiled 21 to 10 computations (52.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | inf | (*.f64 (*.f64 z z) -1/2) |
| 0.0ms | z | @ | 0 | (*.f64 (*.f64 z z) -1/2) |
| 0.0ms | z | @ | 0 | (/.f64 (*.f64 (*.f64 z z) -1/2) y) |
| 0.0ms | z | @ | inf | (/.f64 (*.f64 (*.f64 z z) -1/2) y) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 (*.f64 z z) -1/2) y) |
| 1× | batch-egg-rewrite |
| 775× | pow1_binary64 |
| 723× | add-log-exp_binary64 |
| 723× | log1p-expm1-u_binary64 |
| 723× | expm1-log1p-u_binary64 |
| 708× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 149 | 17 |
| 2 | 1956 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 z z) -1/2) y) |
(*.f64 (*.f64 z z) -1/2) |
| 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 z (*.f64 (*.f64 z -1/2) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z z) (/.f64 1 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z z) (*.f64 -1/2 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 (*.f64 z z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (*.f64 z z) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z z) -1/2) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z z) (*.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 z z) (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 z 4) 1/4)) (*.f64 (cbrt.f64 (*.f64 (*.f64 z z) -1/2)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 z z) (*.f64 y -2))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 z z) (*.f64 y -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 z z) (*.f64 y -2))) 2) (cbrt.f64 (/.f64 (*.f64 z z) (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 -1/2)) (*.f64 (*.f64 z (sqrt.f64 -1/2)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 (*.f64 y -2))) (/.f64 z (sqrt.f64 (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z z) 1/2) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (*.f64 z z) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 (*.f64 z -1/2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z z) 1) (/.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z z) y) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 z 4) 1/4)) 1) (/.f64 (cbrt.f64 (*.f64 (*.f64 z z) -1/2)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z (sqrt.f64 -1/2)) 1) (/.f64 (*.f64 z (sqrt.f64 -1/2)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 z -1/2) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 -1/2 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 z z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 (*.f64 z z) -1/2) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 z 4) 1/4)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (*.f64 z z) (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z (sqrt.f64 -1/2)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 z (sqrt.f64 -1/2)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 y)) (/.f64 (*.f64 z -1/2) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z z) (sqrt.f64 y)) (/.f64 -1/2 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (sqrt.f64 y)) (/.f64 (*.f64 z z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 (*.f64 z z) -1/2) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 z 4) 1/4)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (*.f64 z z) -1/2)) (sqrt.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 y -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 y (*.f64 z z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (*.f64 z z) -1/2) (neg.f64 y)))))) (#(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 (*.f64 z z) -1/2) 3) (pow.f64 y 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)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 z z) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 z z) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 z z) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 z z) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sqrt.f64 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 z 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 z z) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 z z) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 z z) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 z z) -1/2))))))) |
| 1× | egg-herbie |
| 771× | sqr-pow_binary64 |
| 555× | associate-*l*_binary64 |
| 473× | *-commutative_binary64 |
| 416× | unswap-sqr_binary64 |
| 352× | cube-prod_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 324 |
| 1 | 17 | 324 |
| 2 | 34 | 324 |
| 3 | 71 | 324 |
| 4 | 195 | 324 |
| 5 | 706 | 324 |
| 6 | 2552 | 324 |
| 7 | 3994 | 324 |
| 8 | 4150 | 324 |
| 9 | 4360 | 324 |
| 10 | 4578 | 324 |
| 11 | 4903 | 324 |
| 12 | 5297 | 324 |
| 13 | 5894 | 324 |
| 14 | 6583 | 324 |
| 15 | 7353 | 324 |
| 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)) |
(*.f64 -1/2 (pow.f64 z 2)) |
(*.f64 -1/2 (pow.f64 z 2)) |
(*.f64 -1/2 (pow.f64 z 2)) |
(*.f64 -1/2 (pow.f64 z 2)) |
(*.f64 -1/2 (pow.f64 z 2)) |
(*.f64 -1/2 (pow.f64 z 2)) |
(*.f64 -1/2 (pow.f64 z 2)) |
(*.f64 -1/2 (pow.f64 z 2)) |
(*.f64 -1/2 (pow.f64 z 2)) |
(*.f64 -1/2 (pow.f64 z 2)) |
(*.f64 -1/2 (pow.f64 z 2)) |
(*.f64 -1/2 (pow.f64 z 2)) |
| Outputs |
|---|
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (*.f64 (/.f64 z y) z)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 (*.f64 -1/2 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 (/.f64 z y) z)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 (*.f64 -1/2 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 (/.f64 z y) z)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 (*.f64 -1/2 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 (/.f64 z y) z)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 (*.f64 -1/2 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 (/.f64 z y) z)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 (*.f64 -1/2 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 (/.f64 z y) z)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 (*.f64 -1/2 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 (/.f64 z y) z)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 (*.f64 -1/2 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 (/.f64 z y) z)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 (*.f64 -1/2 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 (/.f64 z y) z)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 (*.f64 -1/2 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 (/.f64 z y) z)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 (*.f64 -1/2 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 (/.f64 z y) z)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 (*.f64 -1/2 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 (/.f64 z y) z)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 (*.f64 -1/2 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 (/.f64 z y) z)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 (*.f64 -1/2 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 (/.f64 z y) z)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 (*.f64 -1/2 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 (/.f64 z y) z)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 (*.f64 -1/2 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 (/.f64 z y) z)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 (*.f64 -1/2 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 (/.f64 z y) z)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 (*.f64 -1/2 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 (/.f64 z y) z)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 (*.f64 -1/2 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 (/.f64 z y) z)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 (*.f64 -1/2 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 (/.f64 z y) z)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 (*.f64 -1/2 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 (/.f64 z y) z)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 (*.f64 -1/2 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 (/.f64 z y) z)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 (*.f64 -1/2 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 (/.f64 z y) z)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 (*.f64 -1/2 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 (/.f64 z y) z)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 (*.f64 -1/2 z) (/.f64 z y)) |
(*.f64 -1/2 (pow.f64 z 2)) |
(*.f64 -1/2 (*.f64 z z)) |
(*.f64 -1/2 (pow.f64 z 2)) |
(*.f64 -1/2 (*.f64 z z)) |
(*.f64 -1/2 (pow.f64 z 2)) |
(*.f64 -1/2 (*.f64 z z)) |
(*.f64 -1/2 (pow.f64 z 2)) |
(*.f64 -1/2 (*.f64 z z)) |
(*.f64 -1/2 (pow.f64 z 2)) |
(*.f64 -1/2 (*.f64 z z)) |
(*.f64 -1/2 (pow.f64 z 2)) |
(*.f64 -1/2 (*.f64 z z)) |
(*.f64 -1/2 (pow.f64 z 2)) |
(*.f64 -1/2 (*.f64 z z)) |
(*.f64 -1/2 (pow.f64 z 2)) |
(*.f64 -1/2 (*.f64 z z)) |
(*.f64 -1/2 (pow.f64 z 2)) |
(*.f64 -1/2 (*.f64 z z)) |
(*.f64 -1/2 (pow.f64 z 2)) |
(*.f64 -1/2 (*.f64 z z)) |
(*.f64 -1/2 (pow.f64 z 2)) |
(*.f64 -1/2 (*.f64 z z)) |
(*.f64 -1/2 (pow.f64 z 2)) |
(*.f64 -1/2 (*.f64 z z)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 (-.f64 z x) (/.f64 y x)) y) |
| ✓ | 3.4b | (/.f64 (-.f64 z x) (/.f64 y x)) |
Compiled 40 to 10 computations (75% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | z | @ | -inf | (/.f64 (-.f64 z x) (/.f64 y x)) |
| 2.0ms | y | @ | 0 | (/.f64 (-.f64 z x) (/.f64 y x)) |
| 1.0ms | z | @ | 0 | (/.f64 (-.f64 z x) (/.f64 y x)) |
| 1.0ms | z | @ | inf | (/.f64 (-.f64 z x) (/.f64 y x)) |
| 1.0ms | y | @ | -inf | (/.f64 (-.f64 z x) (/.f64 y x)) |
| 1× | batch-egg-rewrite |
| 596× | log-prod_binary64 |
| 446× | fma-def_binary64 |
| 376× | pow-prod-down_binary64 |
| 345× | fma-neg_binary64 |
| 286× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 1 | 195 | 23 |
| 2 | 3321 | 23 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 z x) (/.f64 y x)) |
(-.f64 (/.f64 (-.f64 z x) (/.f64 y x)) y) |
| Outputs |
|---|
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z) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x))) (neg.f64 (fma.f64 x (/.f64 x y) (neg.f64 (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 y x))) (/.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 y x))) (neg.f64 (fma.f64 x (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 y x))) (/.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 y x))) (neg.f64 (fma.f64 x (/.f64 x y) (neg.f64 (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2) y) (/.f64 (cbrt.f64 (-.f64 z x)) (/.f64 1 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2) y) (/.f64 (cbrt.f64 (-.f64 z x)) (/.f64 1 x)) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 x (/.f64 (-.f64 z x) y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 x (/.f64 (-.f64 z x) y))) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 (-.f64 z x)) (cbrt.f64 (/.f64 y x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 z x)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 (-.f64 z x)) (cbrt.f64 (/.f64 y x))) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 (-.f64 z x)) (sqrt.f64 (/.f64 y x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 (-.f64 z x)) (sqrt.f64 (/.f64 y x))) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z y) x (neg.f64 (fma.f64 x (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z y) x (neg.f64 (fma.f64 x (/.f64 x y) (neg.f64 (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 (-.f64 z x)) (sqrt.f64 (/.f64 x y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (*.f64 x (/.f64 (-.f64 z x) y))) (sqrt.f64 y)) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 (-.f64 z x)) (sqrt.f64 (/.f64 x y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (*.f64 x (/.f64 (-.f64 z x) y))) (sqrt.f64 y)) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 (-.f64 z x)) (sqrt.f64 (/.f64 x y)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (*.f64 x (/.f64 (-.f64 z x) y))) (sqrt.f64 y)) (+.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x (/.f64 (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z 1) (/.f64 x y) (neg.f64 (fma.f64 x (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z 1) (/.f64 x y) (neg.f64 (fma.f64 x (/.f64 x y) (neg.f64 (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z (neg.f64 y)) (neg.f64 x) (neg.f64 (fma.f64 x (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z (neg.f64 y)) (neg.f64 x) (neg.f64 (fma.f64 x (/.f64 x y) (neg.f64 (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 z x) 1) (/.f64 x y) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 z x) 1) (/.f64 x y) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 z x) (neg.f64 y)) (neg.f64 x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 z x) (neg.f64 y)) (neg.f64 x) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (-.f64 z x) y) 1) x (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (-.f64 z x) y) 1) x (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (-.f64 z x) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (-.f64 z x) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (-.f64 z x) y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 y) 1)))))) |
| 1× | egg-herbie |
| 701× | fma-neg_binary64 |
| 611× | cancel-sign-sub-inv_binary64 |
| 518× | associate-/l*_binary64 |
| 422× | associate-/r*_binary64 |
| 369× | associate-/r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 1211 |
| 1 | 58 | 753 |
| 2 | 113 | 753 |
| 3 | 232 | 751 |
| 4 | 659 | 751 |
| 5 | 2349 | 751 |
| 6 | 7812 | 751 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(/.f64 (*.f64 z x) y) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(/.f64 (*.f64 z x) y) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(/.f64 (*.f64 z x) y) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(/.f64 (*.f64 (-.f64 z x) x) y) |
(/.f64 (*.f64 (-.f64 z x) x) y) |
(/.f64 (*.f64 (-.f64 z x) x) y) |
(/.f64 (*.f64 (-.f64 z x) x) y) |
(/.f64 (*.f64 (-.f64 z x) x) y) |
(/.f64 (*.f64 (-.f64 z x) x) y) |
(/.f64 (*.f64 (-.f64 z x) x) y) |
(/.f64 (*.f64 (-.f64 z x) x) y) |
(/.f64 (*.f64 (-.f64 z x) x) y) |
(/.f64 (*.f64 (-.f64 z x) x) y) |
(/.f64 (*.f64 (-.f64 z x) x) y) |
(/.f64 (*.f64 (-.f64 z x) x) y) |
(-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) y) |
(-.f64 (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) y) |
(-.f64 (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) y) |
(-.f64 (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) y) |
(/.f64 (*.f64 z x) y) |
(-.f64 (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) y) |
(-.f64 (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) y) |
(-.f64 (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) y) |
(/.f64 (*.f64 z x) y) |
(-.f64 (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) y) |
(-.f64 (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) y) |
(-.f64 (+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) y) |
(*.f64 -1 y) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 y)) |
(+.f64 (/.f64 (*.f64 z x) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y))) |
(+.f64 (/.f64 (*.f64 z x) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 (*.f64 z x) y) (+.f64 (*.f64 -1 y) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (/.f64 (*.f64 z x) y) (+.f64 (*.f64 -1 y) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 (*.f64 z x) y) (+.f64 (*.f64 -1 y) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (/.f64 (*.f64 z x) y) (+.f64 (*.f64 -1 y) (*.f64 -1 (/.f64 (pow.f64 x 2) y)))) |
(/.f64 (*.f64 (-.f64 z x) x) y) |
(+.f64 (/.f64 (*.f64 (-.f64 z x) x) y) (*.f64 -1 y)) |
(+.f64 (/.f64 (*.f64 (-.f64 z x) x) y) (*.f64 -1 y)) |
(+.f64 (/.f64 (*.f64 (-.f64 z x) x) y) (*.f64 -1 y)) |
(*.f64 -1 y) |
(+.f64 (/.f64 (*.f64 (-.f64 z x) x) y) (*.f64 -1 y)) |
(+.f64 (/.f64 (*.f64 (-.f64 z x) x) y) (*.f64 -1 y)) |
(+.f64 (/.f64 (*.f64 (-.f64 z x) x) y) (*.f64 -1 y)) |
(*.f64 -1 y) |
(+.f64 (/.f64 (*.f64 (-.f64 z x) x) y) (*.f64 -1 y)) |
(+.f64 (/.f64 (*.f64 (-.f64 z x) x) y) (*.f64 -1 y)) |
(+.f64 (/.f64 (*.f64 (-.f64 z x) x) y) (*.f64 -1 y)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(neg.f64 (/.f64 x (/.f64 y x))) |
(/.f64 (neg.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 x) y) x) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) (/.f64 z (/.f64 y x))) |
(*.f64 (/.f64 (-.f64 z x) y) x) |
(*.f64 (/.f64 x y) (-.f64 z x)) |
(*.f64 x (/.f64 (-.f64 z x) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) (/.f64 z (/.f64 y x))) |
(*.f64 (/.f64 (-.f64 z x) y) x) |
(*.f64 (/.f64 x y) (-.f64 z x)) |
(*.f64 x (/.f64 (-.f64 z x) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) (/.f64 z (/.f64 y x))) |
(*.f64 (/.f64 (-.f64 z x) y) x) |
(*.f64 (/.f64 x y) (-.f64 z x)) |
(*.f64 x (/.f64 (-.f64 z x) y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(/.f64 x (/.f64 y z)) |
(*.f64 x (/.f64 z y)) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) (/.f64 z (/.f64 y x))) |
(*.f64 (/.f64 (-.f64 z x) y) x) |
(*.f64 (/.f64 x y) (-.f64 z x)) |
(*.f64 x (/.f64 (-.f64 z x) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (neg.f64 (/.f64 (*.f64 x x) y)) (/.f64 z (/.f64 y x))) |
(*.f64 (/.f64 (-.f64 z x) y) x) |
(*.f64 (/.f64 x y) (-.f64 z x)) |
(*.f64 x (/.f64 (-.f64 z x) y)) |
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(-.f64 (*.f64 (/.f64 x y) (-.f64 z x)) y) |
(-.f64 (*.f64 x (/.f64 (-.f64 z x) y)) y) |
(+.f64 (/.f64 (*.f64 (-.f64 z x) x) y) (*.f64 -1 y)) |
(+.f64 (/.f64 z (/.f64 y x)) (-.f64 (neg.f64 (/.f64 (*.f64 x x) y)) y)) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) x) y) |
(-.f64 (*.f64 (/.f64 x y) (-.f64 z x)) y) |
(-.f64 (*.f64 x (/.f64 (-.f64 z x) y)) y) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (/.f64 (*.f64 (-.f64 z x) x) y) (*.f64 -1 y)) |
(+.f64 (/.f64 z (/.f64 y x)) (-.f64 (neg.f64 (/.f64 (*.f64 x x) y)) y)) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) x) y) |
(-.f64 (*.f64 (/.f64 x y) (-.f64 z x)) y) |
(-.f64 (*.f64 x (/.f64 (-.f64 z x) y)) y) |
(+.f64 (/.f64 (*.f64 (-.f64 z x) x) y) (*.f64 -1 y)) |
(+.f64 (/.f64 z (/.f64 y x)) (-.f64 (neg.f64 (/.f64 (*.f64 x x) y)) y)) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) x) y) |
(-.f64 (*.f64 (/.f64 x y) (-.f64 z x)) y) |
(-.f64 (*.f64 x (/.f64 (-.f64 z x) y)) y) |
(+.f64 (/.f64 (*.f64 (-.f64 z x) x) y) (*.f64 -1 y)) |
(+.f64 (/.f64 z (/.f64 y x)) (-.f64 (neg.f64 (/.f64 (*.f64 x x) y)) y)) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) x) y) |
(-.f64 (*.f64 (/.f64 x y) (-.f64 z x)) y) |
(-.f64 (*.f64 x (/.f64 (-.f64 z x) y)) y) |
Compiled 14362 to 5029 computations (65% saved)
20 alts after pruning (7 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 743 | 2 | 745 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 12 | 13 |
| Total | 745 | 20 | 765 |
| Status | Error | Program |
|---|---|---|
| 48.5b | (/.f64 (*.f64 y y) (*.f64 y 2)) | |
| ✓ | 53.6b | (/.f64 (*.f64 (*.f64 z z) -1/2) y) |
| ✓ | 15.7b | (*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)) |
| ✓ | 49.6b | (*.f64 -1/2 (*.f64 z (/.f64 z y))) |
| 47.4b | (*.f64 1/2 (/.f64 x (/.f64 y x))) | |
| ✓ | 15.7b | (*.f64 1/2 (fma.f64 (/.f64 z y) (neg.f64 z) y)) |
| ✓ | 49.6b | (*.f64 -1/2 (/.f64 z (/.f64 y z))) |
| ✓ | 15.7b | (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) |
| 14.7b | (*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) | |
| ✓ | 29.8b | (*.f64 1/2 y) |
| 13.5b | (*.f64 -1/2 (-.f64 (/.f64 1 (/.f64 y (-.f64 (*.f64 z z) (*.f64 x x)))) y)) | |
| ✓ | 0.1b | (*.f64 -1/2 (-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y)) |
| 56.3b | (*.f64 -1/2 (pow.f64 (/.f64 z (sqrt.f64 y)) 2)) | |
| ✓ | 41.8b | (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y 2)) |
| ✓ | 47.4b | (*.f64 x (*.f64 x (/.f64 1/2 y))) |
| ✓ | 14.5b | (*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y x)) y)) |
| ✓ | 53.6b | (*.f64 (*.f64 z z) (/.f64 -1/2 y)) |
| 15.7b | (*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (*.f64 (/.f64 1 z) y)) y)) | |
| 34.1b | (pow.f64 (/.f64 (/.f64 (+.f64 y y) (+.f64 x z)) (-.f64 x z)) -1) | |
| ✓ | 51.1b | (/.f64 (*.f64 x x) (*.f64 y 2)) |
Compiled 240 to 164 computations (31.7% saved)
| Inputs |
|---|
(fma.f64 (/.f64 (hypot.f64 x y) y) (/.f64 (hypot.f64 x y) 2) (neg.f64 (*.f64 (*.f64 z z) (/.f64 1/2 y)))) |
(pow.f64 (*.f64 2 (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)))) -1) |
(*.f64 -1/2 (-.f64 (pow.f64 (/.f64 (hypot.f64 z x) (sqrt.f64 y)) 2) y)) |
(*.f64 -1/2 (-.f64 (pow.f64 (/.f64 z (sqrt.f64 y)) 2) y)) |
(*.f64 -1/2 (pow.f64 (/.f64 z (sqrt.f64 y)) 2)) |
(pow.f64 (/.f64 (/.f64 (+.f64 y y) (+.f64 x z)) (-.f64 x z)) -1) |
(*.f64 -1/2 (-.f64 (/.f64 (fma.f64 z z (*.f64 x (neg.f64 x))) y) y)) |
(*.f64 1/2 (fma.f64 (/.f64 z y) (neg.f64 z) y)) |
(*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (*.f64 (/.f64 1 (+.f64 z x)) y)) 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 z x) (*.f64 (/.f64 1 z) y)) y)) |
(*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)) |
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 x z)) y)) |
(*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y x)) y)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y 2)) |
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) 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 z (/.f64 y z)) y)) |
(*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)) |
(*.f64 -1/2 (-.f64 (/.f64 (*.f64 z z) y) y)) |
(/.f64 (*.f64 z (neg.f64 z)) (*.f64 y 2)) |
(/.f64 (*.f64 z (neg.f64 z)) (*.f64 y 2)) |
(/.f64 (*.f64 (*.f64 z z) -1/2) y) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(/.f64 (*.f64 y y) (*.f64 y 2)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 (*.f64 z z) (/.f64 -1/2 y)) |
(/.f64 (*.f64 x x) (*.f64 y 2)) |
(*.f64 1/2 y) |
| Outputs |
|---|
(*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)) |
8 calls:
| 32.0ms | z |
| 31.0ms | y |
| 30.0ms | x |
| 25.0ms | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
| 19.0ms | (*.f64 x x) |
| 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 394 to 200 computations (49.2% saved)
| Inputs |
|---|
(*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y x)) y)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y 2)) |
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) 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 z (/.f64 y z)) y)) |
(*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)) |
(*.f64 -1/2 (-.f64 (/.f64 (*.f64 z z) y) y)) |
(/.f64 (*.f64 z (neg.f64 z)) (*.f64 y 2)) |
(/.f64 (*.f64 z (neg.f64 z)) (*.f64 y 2)) |
(/.f64 (*.f64 (*.f64 z z) -1/2) y) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(/.f64 (*.f64 y y) (*.f64 y 2)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 (*.f64 z z) (/.f64 -1/2 y)) |
(/.f64 (*.f64 x x) (*.f64 y 2)) |
(*.f64 1/2 y) |
| Outputs |
|---|
(*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) |
(*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y x)) y)) |
(*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)) |
7 calls:
| 91.0ms | y |
| 72.0ms | z |
| 54.0ms | x |
| 31.0ms | (*.f64 x x) |
| 31.0ms | (*.f64 x x) |
| Error | Segments | Branch |
|---|---|---|
| 5.8b | 3 | x |
| 9.0b | 5 | y |
| 5.3b | 3 | z |
| 6.2b | 2 | (*.f64 x x) |
| 6.2b | 2 | (*.f64 x x) |
| 5.7b | 2 | (*.f64 z z) |
| 5.7b | 2 | (*.f64 z z) |
Compiled 193 to 101 computations (47.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 3.5847376780375335e-89 | 2.48334895017644e-86 |
| 23.0ms | -3.5152194781512994e-20 | -3.682268574613058e-23 |
Compiled 24 to 16 computations (33.3% saved)
Total -40.9b remaining (-183.4%)
Threshold costs -40.9b (-183.4%)
| Inputs |
|---|
(/.f64 (*.f64 z (neg.f64 z)) (*.f64 y 2)) |
(/.f64 (*.f64 z (neg.f64 z)) (*.f64 y 2)) |
(/.f64 (*.f64 (*.f64 z z) -1/2) y) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(/.f64 (*.f64 y y) (*.f64 y 2)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 (*.f64 z z) (/.f64 -1/2 y)) |
(/.f64 (*.f64 x x) (*.f64 y 2)) |
(*.f64 1/2 y) |
| 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 x (/.f64 y x))) |
(*.f64 1/2 y) |
7 calls:
| 41.0ms | z |
| 37.0ms | y |
| 27.0ms | x |
| 22.0ms | (*.f64 x x) |
| 21.0ms | (*.f64 x x) |
| Error | Segments | Branch |
|---|---|---|
| 27.2b | 4 | x |
| 22.3b | 5 | y |
| 24.8b | 6 | z |
| 26.5b | 4 | (*.f64 x x) |
| 26.5b | 4 | (*.f64 x x) |
| 26.2b | 4 | (*.f64 z z) |
| 26.2b | 4 | (*.f64 z z) |
Compiled 114 to 69 computations (39.5% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 41.0ms | 9.986803658792435e-48 | 7.079966057749306e-47 |
| 47.0ms | 1.5894933623343664e-138 | 1.8190573197580284e-114 |
| 30.0ms | 1.4336998075827167e-267 | 1.3218584493449225e-260 |
| 59.0ms | -3.6576156478433395e-62 | -3.575025899044035e-65 |
Compiled 716 to 532 computations (25.7% saved)
| 1× | egg-herbie |
| 10× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 7× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 135 |
| 1 | 63 | 135 |
| 2 | 74 | 135 |
| 3 | 78 | 135 |
| 4 | 80 | 135 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)) |
(if (<=.f64 z -11961672042719102976/340282366920938463463374607431768211456) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) (if (<=.f64 z 328863636130661824/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y x)) y)) (*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)))) |
(if (<=.f64 y -533569947205553/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (*.f64 1/2 y) (if (<=.f64 y 7201440561641447/553956966280111321359151042308621317197106853745652161186848528428353614047320326248246548509656023453846098404449586961587736474553087989908021159880755329796288475560940755137311819879076531853615938045960455092067922915100261601864210866521544040371494407003426519343169536) (*.f64 1/2 (/.f64 x (/.f64 y x))) (if (<=.f64 y 21452492687908156/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (*.f64 -1/2 (*.f64 z (/.f64 z y))) (if (<=.f64 y 4113761393303015/411376139330301510538742295639337626245683966408394965837152256) (*.f64 1/2 (/.f64 x (/.f64 y x))) (*.f64 1/2 y))))) |
| Outputs |
|---|
(*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) y)) |
(if (<=.f64 z -11961672042719102976/340282366920938463463374607431768211456) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) (if (<=.f64 z 328863636130661824/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y x)) y)) (*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)))) |
(if (<=.f64 z -5840660177108937/166153499473114484112975882535043072) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) (if (<=.f64 z 5138494314541591/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (*.f64 -1/2 (-.f64 (/.f64 (-.f64 z x) (/.f64 y x)) y)) (*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) y)))) |
(if (<=.f64 y -533569947205553/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (*.f64 1/2 y) (if (<=.f64 y 7201440561641447/553956966280111321359151042308621317197106853745652161186848528428353614047320326248246548509656023453846098404449586961587736474553087989908021159880755329796288475560940755137311819879076531853615938045960455092067922915100261601864210866521544040371494407003426519343169536) (*.f64 1/2 (/.f64 x (/.f64 y x))) (if (<=.f64 y 21452492687908156/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (*.f64 -1/2 (*.f64 z (/.f64 z y))) (if (<=.f64 y 4113761393303015/411376139330301510538742295639337626245683966408394965837152256) (*.f64 1/2 (/.f64 x (/.f64 y x))) (*.f64 1/2 y))))) |
(if (<=.f64 y -533569947205553/14821387422376473014217086081112052205218558037201992197050570753012880593911808) (*.f64 y 1/2) (if (<=.f64 y 7201440561641447/553956966280111321359151042308621317197106853745652161186848528428353614047320326248246548509656023453846098404449586961587736474553087989908021159880755329796288475560940755137311819879076531853615938045960455092067922915100261601864210866521544040371494407003426519343169536) (*.f64 1/2 (/.f64 x (/.f64 y x))) (if (<=.f64 y 5363123171977039/3351951982485649274893506249551461531869841455148098344430890360930441007518386744200468574541725856922507964546621512713438470702986642486608412251521024) (*.f64 -1/2 (*.f64 z (/.f64 z y))) (if (<=.f64 y 4113761393303015/411376139330301510538742295639337626245683966408394965837152256) (*.f64 1/2 (/.f64 x (/.f64 y x))) (*.f64 y 1/2))))) |
Compiled 102 to 64 computations (37.3% 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 508 to 327 computations (35.6% saved)
Compiled 96 to 54 computations (43.8% saved)
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