Time bar (total: 5.8s)
| 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 |
| 36% | 45.5% | 18.5% | 13 |
| 38.3% | 41.1% | 20.6% | 14 |
Compiled 19 to 12 computations (36.8% saved)
| 1.1s | 8256× | body | 128 | valid |
| 391.0ms | 3016× | body | 128 | invalid |
| 2× | egg-herbie |
| 679× | div-sub_binary64 |
| 433× | cancel-sign-sub-inv_binary64 |
| 405× | fma-neg_binary64 |
| 352× | sub-neg_binary64 |
| 272× | times-frac_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 80 |
| 1 | 80 | 80 |
| 2 | 214 | 80 |
| 3 | 441 | 80 |
| 4 | 1098 | 80 |
| 5 | 3253 | 80 |
| 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 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (*.f64 y 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 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (*.f64 x 2)) |
(*.f64 -1/2 (/.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y 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 (fma.f64 (+.f64 x y) (-.f64 y x) (*.f64 z z)) (*.f64 y 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 (/.f64 (-.f64 (fma.f64 z z (*.f64 x x)) (*.f64 y y)) 2) z) |
Compiled 18 to 11 computations (38.9% saved)
| 1× | egg-herbie |
| 801× | div-sub_binary64 |
| 796× | fma-def_binary64 |
| 540× | times-frac_binary64 |
| 202× | distribute-rgt-in_binary64 |
| 197× | fma-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 | 748 | 20 |
| 6 | 1891 | 19 |
| 7 | 4408 | 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 (+.f64 x z) (-.f64 x z) (*.f64 y y)) (*.f64 y 2)) |
(*.f64 -1/2 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 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 |
|---|---|---|
| ▶ | 0.1b | (*.f64 -1/2 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))) |
| 32.8b | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
Compiled 68 to 42 computations (38.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 x z) y) |
| ✓ | 0.1b | (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y)) |
| 1.0ms | y | @ | inf | (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y)) |
| 1.0ms | x | @ | 0 | (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y)) |
| 1.0ms | z | @ | 0 | (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y)) |
| 1.0ms | x | @ | inf | (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y)) |
| 1× | batch-egg-rewrite |
| 917× | prod-diff_binary64 |
| 180× | log1p-udef_binary64 |
| 168× | egg-rr |
| 111× | add-sqr-sqrt_binary64 |
| 108× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 206 | 21 |
| 2 | 3143 | 21 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y)) |
(/.f64 (+.f64 x z) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) (fma.f64 -1 y y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) (fma.f64 1 y y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) (fma.f64 y 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) (fma.f64 (neg.f64 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(#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) 0) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) 2) (cbrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) 3) (pow.f64 y 3)) (+.f64 (*.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))) (-.f64 (*.f64 y y) (*.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))) (*.f64 y y)) (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x z) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) 2) (cbrt.f64 (/.f64 (+.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x z) 2)) (*.f64 (cbrt.f64 (+.f64 x z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) (sqrt.f64 (/.f64 (+.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x z)) (*.f64 (sqrt.f64 (+.f64 x z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x z)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (+.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x z) 2)) 1) (/.f64 (cbrt.f64 (+.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x z)) 1) (/.f64 (sqrt.f64 (+.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 x z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x z) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x z)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 x z)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 x z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x z) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x z) y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x z) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x z) y))))))) |
| 1× | egg-herbie |
| 641× | fma-def_binary64 |
| 221× | sub-neg_binary64 |
| 211× | associate-+l+_binary64 |
| 174× | associate-+r+_binary64 |
| 170× | div-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 1045 |
| 1 | 149 | 898 |
| 2 | 418 | 814 |
| 3 | 1319 | 747 |
| 4 | 4113 | 747 |
| 1× | node limit |
| Inputs |
|---|
(-.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 -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 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.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 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 x y) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
| Outputs |
|---|
(-.f64 (/.f64 (pow.f64 z 2) y) y) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (/.f64 (pow.f64 z 2) y)) y) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (/.f64 z (/.f64 y z)) 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 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) 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 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) 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 (+.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 (*.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 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) 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 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) 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 -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 (*.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 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) 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 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) y) |
(-.f64 (neg.f64 (/.f64 (*.f64 x x) y)) y) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) x) y) y) |
(-.f64 (/.f64 (neg.f64 x) (/.f64 y x)) y) |
(neg.f64 (fma.f64 (/.f64 x y) x y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) y) |
(-.f64 (neg.f64 (/.f64 (*.f64 x x) y)) y) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) x) y) y) |
(-.f64 (/.f64 (neg.f64 x) (/.f64 y x)) y) |
(neg.f64 (fma.f64 (/.f64 x y) x 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 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) 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 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(*.f64 (/.f64 z y) z) |
(/.f64 z (/.f64 y z)) |
(+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (*.f64 z z) y) |
(*.f64 (/.f64 z y) z) |
(/.f64 z (/.f64 y z)) |
(-.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 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) 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 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(*.f64 (/.f64 z y) z) |
(/.f64 z (/.f64 y z)) |
(+.f64 (*.f64 -1 (*.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 y z)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) |
(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 (*.f64 x x) y))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(/.f64 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
Compiled 6195 to 1940 computations (68.7% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 223 | 7 | 230 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 224 | 8 | 232 |
| Status | Error | Program |
|---|---|---|
| 50.6b | (*.f64 -1/2 (/.f64 (neg.f64 x) (/.f64 y x))) | |
| ▶ | 0.1b | (*.f64 -1/2 (fma.f64 (pow.f64 (/.f64 y (+.f64 x z)) -1) (-.f64 z x) (neg.f64 y))) |
| ✓ | 0.1b | (*.f64 -1/2 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))) |
| 12.6b | (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) | |
| 16.2b | (*.f64 -1/2 (-.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)) | |
| 16.5b | (*.f64 -1/2 (fma.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x z) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 x z) y))) (-.f64 z x) (neg.f64 y))) | |
| 0.2b | (*.f64 -1/2 (fma.f64 (*.f64 (+.f64 x z) (/.f64 1 y)) (-.f64 z x) (neg.f64 y))) | |
| 0.6b | (*.f64 -1/2 (fma.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 x z) (cbrt.f64 y))) (-.f64 z x) (neg.f64 y))) |
Compiled 304 to 202 computations (33.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 y (+.f64 x z)) |
| ✓ | 0.1b | (fma.f64 (pow.f64 (/.f64 y (+.f64 x z)) -1) (-.f64 z x) (neg.f64 y)) |
| ✓ | 0.3b | (pow.f64 (/.f64 y (+.f64 x z)) -1) |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (pow.f64 (/.f64 y (+.f64 x z)) -1) |
| 3.0ms | x | @ | -inf | (fma.f64 (pow.f64 (/.f64 y (+.f64 x z)) -1) (-.f64 z x) (neg.f64 y)) |
| 2.0ms | z | @ | 0 | (pow.f64 (/.f64 y (+.f64 x z)) -1) |
| 1.0ms | y | @ | 0 | (pow.f64 (/.f64 y (+.f64 x z)) -1) |
| 1.0ms | y | @ | -inf | (pow.f64 (/.f64 y (+.f64 x z)) -1) |
| 1× | batch-egg-rewrite |
| 904× | prod-diff_binary64 |
| 155× | egg-rr |
| 129× | add-sqr-sqrt_binary64 |
| 125× | pow1_binary64 |
| 124× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 36 |
| 1 | 247 | 28 |
| 2 | 3555 | 28 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 y (+.f64 x z)) -1) |
(fma.f64 (pow.f64 (/.f64 y (+.f64 x z)) -1) (-.f64 z x) (neg.f64 y)) |
(/.f64 y (+.f64 x z)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (+.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (+.f64 x z))) (/.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (neg.f64 (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (+.f64 x z))) (cbrt.f64 (pow.f64 (/.f64 y (+.f64 x z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y (+.f64 x z)) 2)) (cbrt.f64 (/.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (+.f64 x z))) (sqrt.f64 (/.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x z)) 2)) (/.f64 y (cbrt.f64 (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 x z)) 2)) (cbrt.f64 (/.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 x z)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x z))) (/.f64 y (sqrt.f64 (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 x z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 x x (*.f64 z (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 (*.f64 x x) (*.f64 z z))) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x z) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 x z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 x z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 x z)))))))) |
| 1× | egg-herbie |
| 428× | times-frac_binary64 |
| 350× | associate-/l*_binary64 |
| 268× | unsub-neg_binary64 |
| 236× | fma-def_binary64 |
| 220× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 1725 |
| 1 | 659 | 1525 |
| 2 | 2577 | 1452 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 x y) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) y)) (/.f64 (pow.f64 z 2) y)) x)) (+.f64 (/.f64 z y) (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) y)) (/.f64 (pow.f64 z 2) y)) x)) (+.f64 (/.f64 z y) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) y)) (/.f64 (pow.f64 z 2) y)) z) (+.f64 (/.f64 (pow.f64 z 3) y) (*.f64 -1 (/.f64 (pow.f64 z 3) y)))) (pow.f64 x 2)))))) |
(/.f64 x y) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (*.f64 y x))) (/.f64 (pow.f64 z 2) (*.f64 y x))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 z 2) y) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) z)) (+.f64 (/.f64 (pow.f64 z 3) y) (*.f64 -1 (/.f64 (pow.f64 z 3) y)))) (pow.f64 x 2))) (+.f64 (/.f64 z y) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (*.f64 y x))) (/.f64 (pow.f64 z 2) (*.f64 y x)))))) |
(/.f64 x y) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) z)) (/.f64 z y))) |
(+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) z)) (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 x 3) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) x))) (pow.f64 z 2)))))) |
(/.f64 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 y z)) (+.f64 (/.f64 x y) (/.f64 z y)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 y z)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 x 3) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) x)))) (pow.f64 z 2))) (/.f64 z 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 (/.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 2 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 (/.f64 (pow.f64 z 2) y))))) y) |
(-.f64 (+.f64 (/.f64 (pow.f64 z 3) (*.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 3) (*.f64 y x))) (+.f64 (*.f64 2 (/.f64 (pow.f64 z 2) y)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) y)) (/.f64 (pow.f64 z 2) y)) z) x) (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 z 2) y) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) z) x))))))))) 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 -1 (/.f64 (pow.f64 z 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)))) y) |
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 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 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 z 2) y) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) z)) (+.f64 (/.f64 (pow.f64 z 3) y) (*.f64 -1 (/.f64 (pow.f64 z 3) y))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) y)) (/.f64 (pow.f64 z 2) y)) z))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))))) 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 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 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)))) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 x 3) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) x))) z)) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) 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)))))) y) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (/.f64 (pow.f64 x 2) y) (/.f64 (pow.f64 z 2) y)))) y) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 x 3) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) x)) (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) x)))) z)) (+.f64 (/.f64 (pow.f64 x 2) y) (/.f64 (pow.f64 z 2) y))))) y) |
(/.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 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 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)))) |
| Outputs |
|---|
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) y)) (/.f64 (pow.f64 z 2) y)) x)) (+.f64 (/.f64 z y) (/.f64 x y))) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) y)) (/.f64 (pow.f64 z 2) y)) x)) (+.f64 (/.f64 z y) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) y)) (/.f64 (pow.f64 z 2) y)) z) (+.f64 (/.f64 (pow.f64 z 3) y) (*.f64 -1 (/.f64 (pow.f64 z 3) y)))) (pow.f64 x 2)))))) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (*.f64 y x))) (/.f64 (pow.f64 z 2) (*.f64 y x))))) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 z 2) y) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) z)) (+.f64 (/.f64 (pow.f64 z 3) y) (*.f64 -1 (/.f64 (pow.f64 z 3) y)))) (pow.f64 x 2))) (+.f64 (/.f64 z y) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (*.f64 y x))) (/.f64 (pow.f64 z 2) (*.f64 y x)))))) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) z)) (/.f64 z y))) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) z)) (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 x 3) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) x))) (pow.f64 z 2)))))) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 y z)) (+.f64 (/.f64 x y) (/.f64 z y)))) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 y z)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 x 3) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) x)))) (pow.f64 z 2))) (/.f64 z y))))) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (-.f64 z x) (/.f64 y (+.f64 z x))) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(fma.f64 -1 y (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x)))) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(fma.f64 -1 y (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x)))) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(fma.f64 -1 y (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x)))) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(fma.f64 -1 y (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x)))) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(fma.f64 -1 y (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x)))) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(fma.f64 -1 y (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x)))) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(fma.f64 -1 y (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x)))) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(fma.f64 -1 y (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x)))) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(fma.f64 -1 y (/.f64 (-.f64 z x) (/.f64 y (+.f64 z x)))) |
(-.f64 (*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) y) |
(-.f64 (/.f64 (pow.f64 z 2) y) y) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (/.f64 (pow.f64 z 2) y)) y) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 (/.f64 z y) z) 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 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 (*.f64 x x) y)) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 (*.f64 (/.f64 x y) 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 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 (*.f64 x x) y)) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 (*.f64 (/.f64 x y) x) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 x) (/.f64 y x)) |
(+.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 (neg.f64 x) (/.f64 y x)) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 2 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 (/.f64 (pow.f64 z 2) y))))) y) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 (*.f64 x x) y)) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 (*.f64 (/.f64 x y) x) y)) |
(-.f64 (+.f64 (/.f64 (pow.f64 z 3) (*.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 3) (*.f64 y x))) (+.f64 (*.f64 2 (/.f64 (pow.f64 z 2) y)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) y)) (/.f64 (pow.f64 z 2) y)) z) x) (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 z 2) y) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) z) x))))))))) y) |
(+.f64 (/.f64 (pow.f64 z 3) (*.f64 x y)) (-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) y) (fma.f64 -1 (/.f64 (*.f64 z z) y) (fma.f64 -1 (/.f64 (pow.f64 z 3) (*.f64 x y)) (fma.f64 2 (/.f64 (*.f64 z z) y) (+.f64 (/.f64 (*.f64 0 (/.f64 (*.f64 z z) y)) (/.f64 x z)) (fma.f64 (*.f64 0 (/.f64 z y)) x (/.f64 (*.f64 (neg.f64 (*.f64 0 (/.f64 (*.f64 z z) y))) z) x))))))) y)) |
(+.f64 (-.f64 (-.f64 (-.f64 (fma.f64 2 (/.f64 (*.f64 z z) y) (fma.f64 0 z (*.f64 z 0))) (/.f64 (pow.f64 z 3) (*.f64 x y))) (/.f64 (*.f64 z z) y)) (/.f64 (*.f64 x x) y)) (-.f64 (/.f64 (pow.f64 z 3) (*.f64 x y)) y)) |
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x)) (/.f64 (/.f64 (pow.f64 z 3) y) x)) (-.f64 (/.f64 (/.f64 (pow.f64 z 3) y) x) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(neg.f64 (/.f64 (*.f64 x x) y)) |
(/.f64 (neg.f64 x) (/.f64 y 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 (neg.f64 x) (/.f64 y x)) |
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 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)))) y) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 (*.f64 x x) y)) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 (*.f64 (/.f64 x y) x) y)) |
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 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 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 z 2) y) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) z)) (+.f64 (/.f64 (pow.f64 z 3) y) (*.f64 -1 (/.f64 (pow.f64 z 3) y))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) y)) (/.f64 (pow.f64 z 2) y)) z))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))))) y) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 (*.f64 x x) y)) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 (*.f64 (/.f64 x y) x) y)) |
(-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) y) |
(-.f64 (neg.f64 (/.f64 (*.f64 x x) y)) y) |
(neg.f64 (+.f64 (/.f64 (*.f64 x x) y) y)) |
(-.f64 (/.f64 (neg.f64 x) (/.f64 y x)) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) y) |
(-.f64 (neg.f64 (/.f64 (*.f64 x x) y)) y) |
(neg.f64 (+.f64 (/.f64 (*.f64 x x) y) y)) |
(-.f64 (/.f64 (neg.f64 x) (/.f64 y x)) 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 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 (*.f64 x x) y)) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 (*.f64 (/.f64 x y) x) 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 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 (*.f64 x x) y)) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 (*.f64 (/.f64 x y) x) y)) |
(/.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 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 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)))) y) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 (*.f64 x x) y)) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 (*.f64 (/.f64 x y) x) y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 x 3) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) x))) z)) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) 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)))))) y) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (-.f64 (/.f64 (*.f64 z z) y) (/.f64 (*.f64 x x) y)) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 (*.f64 (/.f64 x y) x) y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(*.f64 (/.f64 z y) z) |
(+.f64 (*.f64 -1 (*.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 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (/.f64 (pow.f64 x 2) y) (/.f64 (pow.f64 z 2) y)))) y) |
(-.f64 (fma.f64 -2 (/.f64 (*.f64 x x) y) (fma.f64 -1 (*.f64 z (*.f64 0 (/.f64 x y))) (+.f64 (/.f64 (*.f64 z z) y) (/.f64 (*.f64 x x) y)))) y) |
(-.f64 (fma.f64 (/.f64 (*.f64 x x) y) -2 (+.f64 (/.f64 (*.f64 z z) y) (fma.f64 0 z (/.f64 (*.f64 x x) y)))) y) |
(-.f64 (fma.f64 (*.f64 (/.f64 x y) x) -2 (+.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x))) y) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 x 3) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) x)) (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) x)))) z)) (+.f64 (/.f64 (pow.f64 x 2) y) (/.f64 (pow.f64 z 2) y))))) y) |
(-.f64 (fma.f64 -2 (/.f64 (*.f64 x x) y) (fma.f64 -1 (*.f64 z (*.f64 0 (/.f64 x y))) (+.f64 (/.f64 (*.f64 z z) y) (/.f64 (*.f64 x x) y)))) y) |
(-.f64 (fma.f64 (/.f64 (*.f64 x x) y) -2 (+.f64 (/.f64 (*.f64 z z) y) (fma.f64 0 z (/.f64 (*.f64 x x) y)))) y) |
(-.f64 (fma.f64 (*.f64 (/.f64 x y) x) -2 (+.f64 (*.f64 (/.f64 z y) z) (*.f64 (/.f64 x y) x))) y) |
(/.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 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 (*.f64 z z)) x)) |
(-.f64 (/.f64 y z) (*.f64 (/.f64 y z) (/.f64 x 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 y (/.f64 (pow.f64 z 3) (*.f64 x x)))) |
(+.f64 (/.f64 y z) (-.f64 (/.f64 (*.f64 x (*.f64 x y)) (pow.f64 z 3)) (*.f64 (/.f64 y (*.f64 z z)) x))) |
(+.f64 (/.f64 y z) (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (*.f64 (/.f64 x z) x) 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 y (/.f64 (pow.f64 z 3) (*.f64 x x))) (fma.f64 -1 (/.f64 y (/.f64 (*.f64 z z) x)) (fma.f64 -1 (/.f64 y (/.f64 (pow.f64 z 4) (pow.f64 x 3))) (/.f64 y z)))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x y)) (pow.f64 z 3)) (-.f64 (-.f64 (/.f64 y z) (*.f64 (/.f64 y (pow.f64 z 4)) (pow.f64 x 3))) (*.f64 (/.f64 y (*.f64 z z)) x))) |
(+.f64 (-.f64 (/.f64 y z) (*.f64 (/.f64 y (pow.f64 z 4)) (pow.f64 x 3))) (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (*.f64 (/.f64 x z) 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 y (/.f64 (*.f64 x x) z))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 (/.f64 y x) x) z)) |
(+.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 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))) (/.f64 y (/.f64 (pow.f64 x 3) (*.f64 z z)))) |
(+.f64 (-.f64 (/.f64 y x) (/.f64 y (/.f64 (*.f64 x x) z))) (*.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z z))) |
(+.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 (/.f64 y x) x) z)) (*.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z 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 y (/.f64 (pow.f64 x 3) (*.f64 z z))) (+.f64 (/.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 z 3)) (pow.f64 x 4))) (/.f64 y (/.f64 (*.f64 x x) z)))) |
(-.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z z))) (*.f64 (/.f64 (/.f64 y x) x) (+.f64 (/.f64 (pow.f64 z 3) (*.f64 x x)) 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 y (/.f64 (*.f64 x x) z))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 (/.f64 y x) x) z)) |
(+.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 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))) (/.f64 y (/.f64 (pow.f64 x 3) (*.f64 z z)))) |
(+.f64 (-.f64 (/.f64 y x) (/.f64 y (/.f64 (*.f64 x x) z))) (*.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z z))) |
(+.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 (/.f64 y x) x) z)) (*.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z 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 y (/.f64 (pow.f64 x 3) (*.f64 z z))) (+.f64 (/.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 z 3)) (pow.f64 x 4))) (/.f64 y (/.f64 (*.f64 x x) z)))) |
(-.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z z))) (*.f64 (/.f64 (/.f64 y x) x) (+.f64 (/.f64 (pow.f64 z 3) (*.f64 x x)) 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 y (/.f64 (*.f64 x x) z))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 (/.f64 y x) x) z)) |
(+.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 x) (neg.f64 (/.f64 y (/.f64 (*.f64 x x) z)))) (/.f64 y (/.f64 (pow.f64 x 3) (*.f64 z z)))) |
(+.f64 (-.f64 (/.f64 y x) (/.f64 y (/.f64 (*.f64 x x) z))) (*.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z z))) |
(+.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 (/.f64 y x) x) z)) (*.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z 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 y (/.f64 (pow.f64 x 3) (*.f64 z z))) (+.f64 (/.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 z 3)) (pow.f64 x 4))) (/.f64 y (/.f64 (*.f64 x x) z)))) |
(-.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z z))) (*.f64 (/.f64 (/.f64 y x) x) (+.f64 (/.f64 (pow.f64 z 3) (*.f64 x x)) 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 (*.f64 z z)) x)) |
(-.f64 (/.f64 y z) (*.f64 (/.f64 y z) (/.f64 x 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 y (/.f64 (pow.f64 z 3) (*.f64 x x)))) |
(+.f64 (/.f64 y z) (-.f64 (/.f64 (*.f64 x (*.f64 x y)) (pow.f64 z 3)) (*.f64 (/.f64 y (*.f64 z z)) x))) |
(+.f64 (/.f64 y z) (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (*.f64 (/.f64 x z) x) 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 y (/.f64 (pow.f64 z 3) (*.f64 x x))) (fma.f64 -1 (/.f64 y (/.f64 (*.f64 z z) x)) (fma.f64 -1 (/.f64 y (/.f64 (pow.f64 z 4) (pow.f64 x 3))) (/.f64 y z)))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x y)) (pow.f64 z 3)) (-.f64 (-.f64 (/.f64 y z) (*.f64 (/.f64 y (pow.f64 z 4)) (pow.f64 x 3))) (*.f64 (/.f64 y (*.f64 z z)) x))) |
(+.f64 (-.f64 (/.f64 y z) (*.f64 (/.f64 y (pow.f64 z 4)) (pow.f64 x 3))) (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (*.f64 (/.f64 x z) 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 (*.f64 z z)) x)) |
(-.f64 (/.f64 y z) (*.f64 (/.f64 y z) (/.f64 x 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 y (/.f64 (pow.f64 z 3) (*.f64 x x)))) |
(+.f64 (/.f64 y z) (-.f64 (/.f64 (*.f64 x (*.f64 x y)) (pow.f64 z 3)) (*.f64 (/.f64 y (*.f64 z z)) x))) |
(+.f64 (/.f64 y z) (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (*.f64 (/.f64 x z) x) 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 y (/.f64 (pow.f64 z 3) (*.f64 x x))) (fma.f64 -1 (/.f64 y (/.f64 (*.f64 z z) x)) (fma.f64 -1 (/.f64 y (/.f64 (pow.f64 z 4) (pow.f64 x 3))) (/.f64 y z)))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x y)) (pow.f64 z 3)) (-.f64 (-.f64 (/.f64 y z) (*.f64 (/.f64 y (pow.f64 z 4)) (pow.f64 x 3))) (*.f64 (/.f64 y (*.f64 z z)) x))) |
(+.f64 (-.f64 (/.f64 y z) (*.f64 (/.f64 y (pow.f64 z 4)) (pow.f64 x 3))) (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (*.f64 (/.f64 x z) x) x))) |
Compiled 8218 to 2965 computations (63.9% saved)
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 293 | 4 | 297 |
| Fresh | 4 | 2 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 297 | 8 | 305 |
| Status | Error | Program |
|---|---|---|
| 14.7b | (*.f64 -1/2 (-.f64 (/.f64 (neg.f64 x) (/.f64 y x)) y)) | |
| ✓ | 0.1b | (*.f64 -1/2 (fma.f64 (pow.f64 (/.f64 y (+.f64 x z)) -1) (-.f64 z x) (neg.f64 y))) |
| ✓ | 0.1b | (*.f64 -1/2 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))) |
| 12.6b | (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) | |
| 16.2b | (*.f64 -1/2 (-.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)) | |
| 0.2b | (*.f64 -1/2 (fma.f64 (pow.f64 (*.f64 (/.f64 1 (+.f64 x z)) y) -1) (-.f64 z x) (neg.f64 y))) | |
| 0.6b | (*.f64 -1/2 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) 2) (/.f64 y (cbrt.f64 (+.f64 x z)))) (-.f64 z x) (neg.f64 y))) | |
| ▶ | 0.2b | (*.f64 -1/2 (fma.f64 (*.f64 (+.f64 x z) (/.f64 1 y)) (-.f64 z x) (neg.f64 y))) |
Compiled 272 to 178 computations (34.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 (*.f64 (+.f64 x z) (/.f64 1 y)) (-.f64 z x) (neg.f64 y)) |
| ✓ | 0.3b | (*.f64 (+.f64 x z) (/.f64 1 y)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 x z) (/.f64 1 y)) |
| 0.0ms | x | @ | inf | (fma.f64 (*.f64 (+.f64 x z) (/.f64 1 y)) (-.f64 z x) (neg.f64 y)) |
| 0.0ms | x | @ | -inf | (fma.f64 (*.f64 (+.f64 x z) (/.f64 1 y)) (-.f64 z x) (neg.f64 y)) |
| 0.0ms | z | @ | inf | (fma.f64 (*.f64 (+.f64 x z) (/.f64 1 y)) (-.f64 z x) (neg.f64 y)) |
| 0.0ms | x | @ | 0 | (fma.f64 (*.f64 (+.f64 x z) (/.f64 1 y)) (-.f64 z x) (neg.f64 y)) |
| 1× | batch-egg-rewrite |
| 921× | prod-diff_binary64 |
| 181× | egg-rr |
| 123× | add-sqr-sqrt_binary64 |
| 120× | *-un-lft-identity_binary64 |
| 120× | pow1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 23 |
| 1 | 240 | 21 |
| 2 | 3424 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 x z) (/.f64 1 y)) |
(fma.f64 (*.f64 (+.f64 x z) (/.f64 1 y)) (-.f64 z x) (neg.f64 y)) |
| Outputs |
|---|
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(/.f64 (+.f64 x z) y) (sqrt.f64 (-.f64 z x))) (sqrt.f64 (-.f64 z x)) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 -1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 -1 (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 -1 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) 0) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) 2) (cbrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) 3) (pow.f64 y 3)) (+.f64 (*.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))) (-.f64 (*.f64 y y) (*.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))) (*.f64 y y)) (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y))))))) |
| 1× | egg-herbie |
| 641× | fma-def_binary64 |
| 223× | sub-neg_binary64 |
| 208× | associate-+l+_binary64 |
| 172× | associate-+r+_binary64 |
| 170× | div-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 1045 |
| 1 | 149 | 898 |
| 2 | 408 | 814 |
| 3 | 1309 | 747 |
| 4 | 4095 | 747 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 x y) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) 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 -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 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.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 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(-.f64 (/.f64 (pow.f64 z 2) y) y) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(fma.f64 (/.f64 z y) z (neg.f64 y)) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (/.f64 (pow.f64 z 2) y)) y) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (/.f64 z (/.f64 y z)) y) |
(-.f64 (*.f64 (/.f64 z y) z) y) |
(fma.f64 (/.f64 z y) z (neg.f64 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 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x)))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) 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 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x)))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(*.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 (+.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 (neg.f64 (*.f64 x x)) y) |
(/.f64 (neg.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(-.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 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x)))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) 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 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x)))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(*.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 (+.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 (neg.f64 (*.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 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x)))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) 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 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x)))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) y) |
(-.f64 (neg.f64 (/.f64 (*.f64 x x) y)) y) |
(-.f64 (/.f64 (neg.f64 (*.f64 x x)) y) y) |
(-.f64 (/.f64 (neg.f64 x) (/.f64 y x)) y) |
(neg.f64 (fma.f64 (/.f64 x y) x y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) y) |
(-.f64 (neg.f64 (/.f64 (*.f64 x x) y)) y) |
(-.f64 (/.f64 (neg.f64 (*.f64 x x)) y) y) |
(-.f64 (/.f64 (neg.f64 x) (/.f64 y x)) y) |
(neg.f64 (fma.f64 (/.f64 x y) x 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 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x)))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) 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 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x)))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) 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 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 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 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x)))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) 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 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x)))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) 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 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x)))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) y) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x)))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y) |
(*.f64 (/.f64 (-.f64 z x) y) (+.f64 z x)) |
(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x)))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x)))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x)))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x)))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x)))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x)))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x)))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x)))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
(+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) |
(-.f64 (fma.f64 (*.f64 0 (/.f64 z y)) x (fma.f64 -1 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 z z) y))) y) |
(-.f64 (fma.f64 x 0 (-.f64 (/.f64 z (/.f64 y z)) (/.f64 x (/.f64 y x)))) y) |
(-.f64 (*.f64 (/.f64 z y) z) (+.f64 y (/.f64 x (/.f64 y x)))) |
(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y) |
Compiled 6752 to 2164 computations (68% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 252 | 0 | 252 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 252 | 8 | 260 |
| Status | Error | Program |
|---|---|---|
| 14.7b | (*.f64 -1/2 (-.f64 (/.f64 (neg.f64 x) (/.f64 y x)) y)) | |
| ✓ | 0.1b | (*.f64 -1/2 (fma.f64 (pow.f64 (/.f64 y (+.f64 x z)) -1) (-.f64 z x) (neg.f64 y))) |
| ✓ | 0.1b | (*.f64 -1/2 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))) |
| 12.6b | (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) | |
| 16.2b | (*.f64 -1/2 (-.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)) | |
| ▶ | 0.2b | (*.f64 -1/2 (fma.f64 (pow.f64 (*.f64 (/.f64 1 (+.f64 x z)) y) -1) (-.f64 z x) (neg.f64 y))) |
| 0.6b | (*.f64 -1/2 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) 2) (/.f64 y (cbrt.f64 (+.f64 x z)))) (-.f64 z x) (neg.f64 y))) | |
| ✓ | 0.2b | (*.f64 -1/2 (fma.f64 (*.f64 (+.f64 x z) (/.f64 1 y)) (-.f64 z x) (neg.f64 y))) |
Compiled 254 to 166 computations (34.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (+.f64 x z)) |
| ✓ | 0.1b | (fma.f64 (pow.f64 (*.f64 (/.f64 1 (+.f64 x z)) y) -1) (-.f64 z x) (neg.f64 y)) |
| ✓ | 0.2b | (*.f64 (/.f64 1 (+.f64 x z)) y) |
| ✓ | 0.3b | (pow.f64 (*.f64 (/.f64 1 (+.f64 x z)) y) -1) |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (/.f64 1 (+.f64 x z)) |
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 x z)) |
| 0.0ms | z | @ | 0 | (/.f64 1 (+.f64 x z)) |
| 0.0ms | x | @ | -inf | (fma.f64 (pow.f64 (*.f64 (/.f64 1 (+.f64 x z)) y) -1) (-.f64 z x) (neg.f64 y)) |
| 0.0ms | z | @ | inf | (fma.f64 (pow.f64 (*.f64 (/.f64 1 (+.f64 x z)) y) -1) (-.f64 z x) (neg.f64 y)) |
| 1× | batch-egg-rewrite |
| 908× | prod-diff_binary64 |
| 168× | egg-rr |
| 143× | add-sqr-sqrt_binary64 |
| 139× | pow1_binary64 |
| 138× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 43 |
| 1 | 283 | 35 |
| 2 | 3830 | 35 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 (/.f64 1 (+.f64 x z)) y) -1) |
(*.f64 (/.f64 1 (+.f64 x z)) y) |
(fma.f64 (pow.f64 (*.f64 (/.f64 1 (+.f64 x z)) y) -1) (-.f64 z x) (neg.f64 y)) |
(/.f64 1 (+.f64 x z)) |
| Outputs |
|---|
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(/.f64 (+.f64 x z) y) (-.f64 z x))) (-.f64 (*.f64 y y) (*.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x)) (*.f64 (/.f64 (+.f64 x z) y) (-.f64 z x))) (*.f64 y y)) (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x z))) (cbrt.f64 (pow.f64 (+.f64 x z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x z) -2)) (/.f64 1 (cbrt.f64 (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x z) -1/2) (pow.f64 (+.f64 x z) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x z)) -1) (pow.f64 (sqrt.f64 (+.f64 x z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 x x (*.f64 z (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 z z))) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x z) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x z) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x z)))))))) |
| 1× | egg-herbie |
| 512× | times-frac_binary64 |
| 399× | associate-/l*_binary64 |
| 292× | unsub-neg_binary64 |
| 249× | fma-def_binary64 |
| 225× | +-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 212 | 2232 |
| 1 | 713 | 1999 |
| 2 | 2759 | 1890 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 x y) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) y)) (/.f64 (pow.f64 z 2) y)) x)) (+.f64 (/.f64 z y) (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) y)) (/.f64 (pow.f64 z 2) y)) x)) (+.f64 (/.f64 z y) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) y)) (/.f64 (pow.f64 z 2) y)) z) (+.f64 (/.f64 (pow.f64 z 3) y) (*.f64 -1 (/.f64 (pow.f64 z 3) y)))) (pow.f64 x 2)))))) |
(/.f64 x y) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (*.f64 y x))) (/.f64 (pow.f64 z 2) (*.f64 y x))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 z 2) y) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) z)) (+.f64 (/.f64 (pow.f64 z 3) y) (*.f64 -1 (/.f64 (pow.f64 z 3) y)))) (pow.f64 x 2))) (+.f64 (/.f64 z y) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (*.f64 y x))) (/.f64 (pow.f64 z 2) (*.f64 y x)))))) |
(/.f64 x y) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) z)) (/.f64 z y))) |
(+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) z)) (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 x 3) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) x))) (pow.f64 z 2)))))) |
(/.f64 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 y z)) (+.f64 (/.f64 x y) (/.f64 z y)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 y z)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 x 3) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) x)))) (pow.f64 z 2))) (/.f64 z y))))) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.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 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 (+.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 (/.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 2 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 (/.f64 (pow.f64 z 2) y))))) y) |
(-.f64 (+.f64 (/.f64 (pow.f64 z 3) (*.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 3) (*.f64 y x))) (+.f64 (*.f64 2 (/.f64 (pow.f64 z 2) y)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) y)) (/.f64 (pow.f64 z 2) y)) z) x) (+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 z 2) y) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) z) x))))))))) 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 -1 (/.f64 (pow.f64 z 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)))) y) |
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 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 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 z 2) y) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) z)) (+.f64 (/.f64 (pow.f64 z 3) y) (*.f64 -1 (/.f64 (pow.f64 z 3) y))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) y)) (/.f64 (pow.f64 z 2) y)) z))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))))) 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 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 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)))) y) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 x 3) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) x))) z)) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) 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)))))) y) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (/.f64 (pow.f64 x 2) y) (/.f64 (pow.f64 z 2) y)))) y) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 x 3) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) x)) (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) x)))) z)) (+.f64 (/.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 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)))))) |
(/.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)))) |
| Outputs |
|---|
(/.f64 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) y)) (/.f64 (pow.f64 z 2) y)) x)) (+.f64 (/.f64 z y) (/.f64 x y))) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) y)) (/.f64 (pow.f64 z 2) y)) x)) (+.f64 (/.f64 z y) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) y)) (/.f64 (pow.f64 z 2) y)) z) (+.f64 (/.f64 (pow.f64 z 3) y) (*.f64 -1 (/.f64 (pow.f64 z 3) y)))) (pow.f64 x 2)))))) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (*.f64 y x))) (/.f64 (pow.f64 z 2) (*.f64 y x))))) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 z 2) y) (*.f64 -1 (/.f64 (pow.f64 z 2) y))) z)) (+.f64 (/.f64 (pow.f64 z 3) y) (*.f64 -1 (/.f64 (pow.f64 z 3) y)))) (pow.f64 x 2))) (+.f64 (/.f64 z y) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 z 2) (*.f64 y x))) (/.f64 (pow.f64 z 2) (*.f64 y x)))))) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) z)) (/.f64 z y))) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) z)) (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 x 3) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) x))) (pow.f64 z 2)))))) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 z y) |
(+.f64 (/.f64 x y) (/.f64 z y)) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 y z)) (+.f64 (/.f64 x y) (/.f64 z y)))) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (*.f64 y z))) (+.f64 (/.f64 (pow.f64 x 2) (*.f64 y z)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 x 3) y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) y)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 x 2) y)) x)))) (pow.f64 z 2))) (/.f64 z y))))) |
(+.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.f64 (+.f64 z x) y) |
(/.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 (*.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 y (/.f64 (pow.f64 z 3) (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 y z) (*.f64 (/.f64 y z) (/.f64 x z))) (/.f64 y (/.f64 (pow.f64 z 3) (*.f64 x x)))) |
(+.f64 (/.f64 y z) (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (*.f64 (/.f64 x z) x) 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 y (/.f64 (pow.f64 z 3) (*.f64 x x))) (fma.f64 -1 (/.f64 y (/.f64 (*.f64 z z) x)) (fma.f64 -1 (/.f64 y (/.f64 (pow.f64 z 4) (pow.f64 x 3))) (/.f64 y z)))) |
(+.f64 (/.f64 y (/.f64 (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 (/.f64 (pow.f64 x 3) (pow.f64 z 4)) y)) (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (*.f64 (/.f64 x z) 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 (*.f64 z y) (*.f64 x x)))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 z 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 x) (neg.f64 (/.f64 (*.f64 z y) (*.f64 x x)))) (/.f64 (*.f64 y (*.f64 z z)) (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 z x))) (*.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z z))) |
(+.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 z x))) (/.f64 z (/.f64 (pow.f64 x 3) (*.f64 z y)))) |
(+.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 z z)) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (+.f64 (/.f64 y (/.f64 (pow.f64 x 4) (pow.f64 z 3))) (/.f64 (*.f64 z y) (*.f64 x x)))))) |
(+.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 (+.f64 (/.f64 y x) (/.f64 z (/.f64 (pow.f64 x 3) (*.f64 z y)))) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 (pow.f64 z 3) (*.f64 x x)) 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 (*.f64 z y) (*.f64 x x)))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 z 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 x) (neg.f64 (/.f64 (*.f64 z y) (*.f64 x x)))) (/.f64 (*.f64 y (*.f64 z z)) (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 z x))) (*.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z z))) |
(+.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 z x))) (/.f64 z (/.f64 (pow.f64 x 3) (*.f64 z y)))) |
(+.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 z z)) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (+.f64 (/.f64 y (/.f64 (pow.f64 x 4) (pow.f64 z 3))) (/.f64 (*.f64 z y) (*.f64 x x)))))) |
(+.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 (+.f64 (/.f64 y x) (/.f64 z (/.f64 (pow.f64 x 3) (*.f64 z y)))) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 (pow.f64 z 3) (*.f64 x x)) 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 (*.f64 z y) (*.f64 x x)))) |
(-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 z 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 x) (neg.f64 (/.f64 (*.f64 z y) (*.f64 x x)))) (/.f64 (*.f64 y (*.f64 z z)) (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 z x))) (*.f64 (/.f64 y (pow.f64 x 3)) (*.f64 z z))) |
(+.f64 (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 z x))) (/.f64 z (/.f64 (pow.f64 x 3) (*.f64 z y)))) |
(+.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 z z)) (pow.f64 x 3)) (+.f64 (/.f64 y x) (*.f64 -1 (+.f64 (/.f64 y (/.f64 (pow.f64 x 4) (pow.f64 z 3))) (/.f64 (*.f64 z y) (*.f64 x x)))))) |
(+.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 (+.f64 (/.f64 y x) (/.f64 z (/.f64 (pow.f64 x 3) (*.f64 z y)))) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 (pow.f64 z 3) (*.f64 x x)) 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 (*.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 y (/.f64 (pow.f64 z 3) (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 y z) (*.f64 (/.f64 y z) (/.f64 x z))) (/.f64 y (/.f64 (pow.f64 z 3) (*.f64 x x)))) |
(+.f64 (/.f64 y z) (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (*.f64 (/.f64 x z) x) 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 y (/.f64 (pow.f64 z 3) (*.f64 x x))) (fma.f64 -1 (/.f64 y (/.f64 (*.f64 z z) x)) (fma.f64 -1 (/.f64 y (/.f64 (pow.f64 z 4) (pow.f64 x 3))) (/.f64 y z)))) |
(+.f64 (/.f64 y (/.f64 (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 (/.f64 (pow.f64 x 3) (pow.f64 z 4)) y)) (*.f64 (/.f64 y (*.f64 z z)) (-.f64 (*.f64 (/.f64 x z) 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 (*.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 y (/.f64 (pow.f64 z 3) (*.f64 x x)))) |
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(-.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x)) |
(-.f64 (/.f64 1 x) (/.f64 z (*.f64 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 x) x)) (/.f64 z (/.f64 (pow.f64 x 3) z))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 z (*.f64 x x)) (+.f64 -1 (/.f64 z x)))) |
(+.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 z z) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (fma.f64 -1 (/.f64 z (*.f64 x x)) (neg.f64 (/.f64 (pow.f64 z 3) (pow.f64 x 4)))))) |
(+.f64 (/.f64 z (/.f64 (pow.f64 x 3) z)) (-.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x)) (/.f64 (pow.f64 z 3) (pow.f64 x 4)))) |
(-.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z (*.f64 x x)) (+.f64 -1 (/.f64 z x)))) (/.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 1 x) (neg.f64 (/.f64 z (*.f64 x x)))) |
(-.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x)) |
(-.f64 (/.f64 1 x) (/.f64 z (*.f64 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 x) x)) (/.f64 z (/.f64 (pow.f64 x 3) z))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 z (*.f64 x x)) (+.f64 -1 (/.f64 z x)))) |
(+.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 z z) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (fma.f64 -1 (/.f64 z (*.f64 x x)) (neg.f64 (/.f64 (pow.f64 z 3) (pow.f64 x 4)))))) |
(+.f64 (/.f64 z (/.f64 (pow.f64 x 3) z)) (-.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x)) (/.f64 (pow.f64 z 3) (pow.f64 x 4)))) |
(-.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z (*.f64 x x)) (+.f64 -1 (/.f64 z x)))) (/.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 1 x) (neg.f64 (/.f64 z (*.f64 x x)))) |
(-.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x)) |
(-.f64 (/.f64 1 x) (/.f64 z (*.f64 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 x) x)) (/.f64 z (/.f64 (pow.f64 x 3) z))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 z (*.f64 x x)) (+.f64 -1 (/.f64 z x)))) |
(+.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 z z) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (fma.f64 -1 (/.f64 z (*.f64 x x)) (neg.f64 (/.f64 (pow.f64 z 3) (pow.f64 x 4)))))) |
(+.f64 (/.f64 z (/.f64 (pow.f64 x 3) z)) (-.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 z x) x)) (/.f64 (pow.f64 z 3) (pow.f64 x 4)))) |
(-.f64 (+.f64 (/.f64 1 x) (*.f64 (/.f64 z (*.f64 x x)) (+.f64 -1 (/.f64 z x)))) (/.f64 (pow.f64 z 3) (pow.f64 x 4))) |
(/.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 (/.f64 1 z) (/.f64 x (*.f64 z z))) (/.f64 (*.f64 x x) (pow.f64 z 3))) |
(+.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 (/.f64 1 z) (/.f64 x (*.f64 z z))) (/.f64 (*.f64 x x) (pow.f64 z 3))) (/.f64 (pow.f64 x 3) (pow.f64 z 4))) |
(+.f64 (*.f64 (/.f64 x (*.f64 z z)) (+.f64 -1 (/.f64 x z))) (-.f64 (/.f64 1 z) (/.f64 (pow.f64 x 3) (pow.f64 z 4)))) |
(/.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 (/.f64 1 z) (/.f64 x (*.f64 z z))) (/.f64 (*.f64 x x) (pow.f64 z 3))) |
(+.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 (/.f64 1 z) (/.f64 x (*.f64 z z))) (/.f64 (*.f64 x x) (pow.f64 z 3))) (/.f64 (pow.f64 x 3) (pow.f64 z 4))) |
(+.f64 (*.f64 (/.f64 x (*.f64 z z)) (+.f64 -1 (/.f64 x z))) (-.f64 (/.f64 1 z) (/.f64 (pow.f64 x 3) (pow.f64 z 4)))) |
Compiled 8790 to 3322 computations (62.2% saved)
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 316 | 1 | 317 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 1 | 3 |
| Total | 319 | 6 | 325 |
| Status | Error | Program |
|---|---|---|
| 12.6b | (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) | |
| 16.2b | (*.f64 -1/2 (-.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)) | |
| ✓ | 0.2b | (*.f64 -1/2 (fma.f64 (pow.f64 (*.f64 (/.f64 1 (+.f64 x z)) y) -1) (-.f64 z x) (neg.f64 y))) |
| 0.6b | (*.f64 -1/2 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) 2) (/.f64 y (cbrt.f64 (+.f64 x z)))) (-.f64 z x) (neg.f64 y))) | |
| 0.1b | (*.f64 -1/2 (-.f64 (*.f64 (/.f64 z y) z) (+.f64 (/.f64 x (/.f64 y x)) y))) | |
| ✓ | 0.2b | (*.f64 -1/2 (fma.f64 (*.f64 (+.f64 x z) (/.f64 1 y)) (-.f64 z x) (neg.f64 y))) |
Compiled 124 to 80 computations (35.5% saved)
Total -62.7b remaining (-55386.5%)
Threshold costs -62.7b (-55386.5%)
| Inputs |
|---|
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 z y) z) (+.f64 (/.f64 x (/.f64 y x)) y))) |
(*.f64 -1/2 (-.f64 (/.f64 (neg.f64 x) (/.f64 y x)) y)) |
(*.f64 -1/2 (fma.f64 (pow.f64 (*.f64 (/.f64 1 (+.f64 x z)) y) -1) (-.f64 z x) (neg.f64 y))) |
(*.f64 -1/2 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x z)) 2) (/.f64 y (cbrt.f64 (+.f64 x z)))) (-.f64 z x) (neg.f64 y))) |
(*.f64 -1/2 (fma.f64 (*.f64 (+.f64 x z) (/.f64 1 y)) (-.f64 z x) (neg.f64 y))) |
(*.f64 -1/2 (/.f64 (neg.f64 x) (/.f64 y x))) |
(*.f64 -1/2 (fma.f64 (pow.f64 (/.f64 y (+.f64 x z)) -1) (-.f64 z x) (neg.f64 y))) |
(*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) |
(*.f64 -1/2 (-.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 -1/2 (fma.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x z) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 x z) y))) (-.f64 z x) (neg.f64 y))) |
(*.f64 -1/2 (fma.f64 (*.f64 (+.f64 x z) (/.f64 1 y)) (-.f64 z x) (neg.f64 y))) |
(*.f64 -1/2 (fma.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 x z) (cbrt.f64 y))) (-.f64 z x) (neg.f64 y))) |
(*.f64 -1/2 (fma.f64 (/.f64 (+.f64 x z) y) (-.f64 z x) (neg.f64 y))) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
| Outputs |
|---|
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 z y) z) (+.f64 (/.f64 x (/.f64 y x)) y))) |
| Time | Error | Segments | Branch |
| 9.0ms | 0.1b | 1 | x |
| 7.0ms | 0.1b | 1 | y |
| 8.0ms | 0.1b | 1 | z |
| 5.0ms | 0.1b | 1 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
| 6.0ms | 0.1b | 1 | (*.f64 x x) |
| 5.0ms | 0.1b | 1 | (*.f64 x x) |
| 5.0ms | 0.1b | 1 | (*.f64 z z) |
| 5.0ms | 0.1b | 1 | (*.f64 z z) |
Compiled 286 to 147 computations (48.6% saved)
| 1× | egg-herbie |
| 6× | +-commutative_binary64 |
| 6× | *-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 22 |
| 1 | 17 | 22 |
| 2 | 26 | 22 |
| 3 | 36 | 22 |
| 4 | 43 | 22 |
| 5 | 47 | 22 |
| 6 | 48 | 22 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 z y) z) (+.f64 (/.f64 x (/.f64 y x)) y))) |
| Outputs |
|---|
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 z y) z) (+.f64 (/.f64 x (/.f64 y x)) y))) |
(*.f64 -1/2 (-.f64 (*.f64 z (/.f64 z y)) (+.f64 y (/.f64 x (/.f64 y x))))) |
| 1× | fuel |
Compiled 36 to 22 computations (38.9% saved)
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