Time bar (total: 6.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 7 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 8 |
| 12.7% | 12.5% | 85.8% | 0.1% | 1.6% | 0% | 0% | 9 |
| 17.1% | 16.4% | 79.2% | 0.1% | 4.3% | 0% | 0% | 10 |
| 22.2% | 20.7% | 72.4% | 0.1% | 6.8% | 0% | 0% | 11 |
| 37.9% | 32.6% | 53.3% | 0.1% | 13.9% | 0% | 0% | 12 |
Compiled 19 to 12 computations (36.8% saved)
| 917.0ms | 8256× | body | 256 | valid |
| 429.0ms | 3754× | body | 256 | infinite |
| 2× | egg-herbie |
| 677× | div-sub_binary64 |
| 461× | cancel-sign-sub-inv_binary64 |
| 432× | distribute-rgt-in_binary64 |
| 405× | fma-neg_binary64 |
| 370× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 80 |
| 1 | 80 | 80 |
| 2 | 214 | 80 |
| 3 | 441 | 80 |
| 4 | 1093 | 80 |
| 5 | 3258 | 76 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
(/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 x 2)) |
(/.f64 (-.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (*.f64 y 2)) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y y)) (*.f64 z 2)) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
(/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 z z))) (*.f64 y 2)) |
(/.f64 (+.f64 y (*.f64 (/.f64 (+.f64 x z) y) (-.f64 x z))) 2) |
(/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 x 2)) |
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 x 2)) |
(/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 z z))) (*.f64 x 2)) |
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 (+.f64 y z) x) (-.f64 z y)) x)) |
(/.f64 (-.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)) (*.f64 y 2)) |
(/.f64 (-.f64 (fma.f64 z z (*.f64 y y)) (*.f64 x x)) (*.f64 y 2)) |
(/.f64 (-.f64 (fma.f64 y y (*.f64 z z)) (*.f64 x x)) (*.f64 y 2)) |
(/.f64 (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 x x))) (*.f64 y 2)) |
(/.f64 (-.f64 y (*.f64 (/.f64 (+.f64 x z) y) (-.f64 x z))) 2) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y y)) (*.f64 z 2)) |
(/.f64 (-.f64 (fma.f64 x x (*.f64 z z)) (*.f64 y y)) (*.f64 z 2)) |
(/.f64 (-.f64 (fma.f64 z z (*.f64 x x)) (*.f64 y y)) (*.f64 z 2)) |
(/.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 y y))) (*.f64 z 2)) |
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 (-.f64 y x) z) (+.f64 x y)) z)) |
Compiled 21 to 14 computations (33.3% saved)
| 1× | egg-herbie |
| 803× | div-sub_binary64 |
| 796× | fma-def_binary64 |
| 540× | times-frac_binary64 |
| 406× | distribute-rgt-in_binary64 |
| 344× | sub-neg_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 20 |
| 1 | 27 | 20 |
| 2 | 67 | 20 |
| 3 | 136 | 20 |
| 4 | 320 | 20 |
| 5 | 755 | 20 |
| 6 | 1894 | 19 |
| 7 | 4451 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
| Outputs |
|---|
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
(/.f64 (-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
(/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 y 2)) |
(/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 z z))) (*.f64 y 2)) |
(*.f64 -1/2 (-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) y)) |
(*.f64 -1/2 (-.f64 (/.f64 (fma.f64 z z (*.f64 x (neg.f64 x))) y) y)) |
Compiled 86 to 40 computations (53.5% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 | 2 | 6 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 4 | 3 | 7 |
| Status | Error | Program |
|---|---|---|
| ▶ | 26.3b | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
| ▶ | 0.1b | (*.f64 -1/2 (-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) y)) |
Compiled 34 to 21 computations (38.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 z x) y) |
| ✓ | 0.2b | (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) |
Compiled 51 to 11 computations (78.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) |
| 1.0ms | x | @ | 0 | (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) |
| 1.0ms | y | @ | 0 | (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) |
| 1.0ms | z | @ | inf | (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) |
| 1.0ms | z | @ | -inf | (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) |
| 1× | batch-egg-rewrite |
| 922× | prod-diff_binary64 |
| 527× | log-prod_binary64 |
| 338× | fma-def_binary64 |
| 268× | pow2_binary64 |
| 188× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 1 | 188 | 20 |
| 2 | 3058 | 20 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) |
(/.f64 (-.f64 z x) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (-.f64 z x) y)) (*.f64 z (/.f64 (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (/.f64 (-.f64 z x) y)) (*.f64 x (/.f64 (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 z x) y) x) (*.f64 (/.f64 (-.f64 z x) y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 z x) y) z) (*.f64 (/.f64 (-.f64 z x) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 z x) y)) (+.f64 x z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 z x) y)) (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 z x) y)) (+.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 z x) y)) (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x z) (/.f64 y (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (-.f64 (*.f64 z z) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 z 3) (pow.f64 x 3)) (*.f64 (/.f64 y (-.f64 z x)) (fma.f64 x x (*.f64 z (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 (/.f64 y (-.f64 z x)) (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 z z) (*.f64 x x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 z 3) (pow.f64 x 3)) (-.f64 z x)) (*.f64 (fma.f64 x x (*.f64 z (-.f64 z x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) (*.f64 (-.f64 x z) y))))) 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((x exp.f64 (log.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 (-.f64 z x) y) (*.f64 z (/.f64 (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (/.f64 (-.f64 z x) y) (*.f64 x (/.f64 (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 z x) y) x (*.f64 (/.f64 (-.f64 z x) y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 z x) y) z (*.f64 (/.f64 (-.f64 z x) y) x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 z x) y) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 z x) y) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y))) (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 z y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 z x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (/.f64 1 y) (neg.f64 (*.f64 (/.f64 1 y) x))) (fma.f64 (neg.f64 (/.f64 1 y)) x (*.f64 (/.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 z y) (neg.f64 (*.f64 (/.f64 1 y) x))) (fma.f64 (neg.f64 (/.f64 1 y)) x (*.f64 (/.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) 2) (cbrt.f64 (/.f64 z y)) (neg.f64 (*.f64 (/.f64 1 y) x))) (fma.f64 (neg.f64 (/.f64 1 y)) x (*.f64 (/.f64 1 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(sqrt.f64 z) (sqrt.f64 y)) (neg.f64 (/.f64 x y))))))) |
| 1× | egg-herbie |
| 313× | div-sub_binary64 |
| 256× | associate-+l+_binary64 |
| 255× | +-commutative_binary64 |
| 254× | associate-+r+_binary64 |
| 223× | unsub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 587 | 7850 |
| 1 | 1450 | 5914 |
| 2 | 5810 | 5555 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 -1 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z) (/.f64 (pow.f64 z 2) y))) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(/.f64 z y) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(/.f64 z y) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(/.f64 z y) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 z y) (*.f64 -1 (/.f64 x y))) |
(+.f64 0 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y))) |
(+.f64 (*.f64 x (/.f64 (-.f64 z x) y)) (*.f64 z (/.f64 (-.f64 z x) y))) |
(+.f64 (*.f64 z (/.f64 (-.f64 z x) y)) (*.f64 x (/.f64 (-.f64 z x) y))) |
(+.f64 (*.f64 (/.f64 (-.f64 z x) y) x) (*.f64 (/.f64 (-.f64 z x) y) z)) |
(+.f64 (*.f64 (/.f64 (-.f64 z x) y) z) (*.f64 (/.f64 (-.f64 z x) y) x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 z x) y)) (+.f64 x z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 z x) y)) (+.f64 x z))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 z x) y)) (+.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 z x) y)) (+.f64 x z))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)))) 1) |
(/.f64 (+.f64 x z) (/.f64 y (-.f64 z x))) |
(/.f64 1 (/.f64 y (-.f64 (*.f64 z z) (*.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 x 3)) (*.f64 (/.f64 y (-.f64 z x)) (fma.f64 x x (*.f64 z (-.f64 z x))))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 (/.f64 y (-.f64 z x)) (-.f64 x z))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (*.f64 x x))) (neg.f64 y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 z 3) (pow.f64 x 3)) (-.f64 z x)) (*.f64 (fma.f64 x x (*.f64 z (-.f64 z x))) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 z x)) (*.f64 (-.f64 x z) y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 z 3) (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x (*.f64 z (-.f64 z x))) (/.f64 y (-.f64 z x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) 1) (*.f64 (-.f64 x z) (/.f64 y (-.f64 z x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 z 3) (pow.f64 x 3)) (neg.f64 (-.f64 z x))) (*.f64 (fma.f64 x x (*.f64 z (-.f64 z x))) (neg.f64 y))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (neg.f64 (-.f64 z x))) (*.f64 (-.f64 x z) (neg.f64 y))) |
(/.f64 (*.f64 (-.f64 z x) (+.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 y (fma.f64 x x (*.f64 z (-.f64 z x))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 z x)) (+.f64 (pow.f64 z 3) (pow.f64 x 3))) (*.f64 (neg.f64 y) (fma.f64 x x (*.f64 z (-.f64 z x))))) |
(/.f64 (*.f64 (-.f64 z x) (-.f64 (*.f64 x x) (*.f64 z z))) (*.f64 y (-.f64 x z))) |
(/.f64 (*.f64 (neg.f64 (-.f64 z x)) (-.f64 (*.f64 x x) (*.f64 z z))) (*.f64 (neg.f64 y) (-.f64 x z))) |
(/.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) 1) y) |
(/.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(/.f64 (/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 z 3) (pow.f64 x 3)) (/.f64 (-.f64 z x) y)) (fma.f64 x x (*.f64 z (-.f64 z x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (-.f64 z x) y)) (-.f64 x z)) |
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(+.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) y) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2))))) |
(+.f64 (fma.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) y) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2))))) |
(+.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 z) (cbrt.f64 y)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2))))) |
(+.f64 (fma.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 y)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2))))) |
(+.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2))))) |
(+.f64 (fma.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 y)) (/.f64 (sqrt.f64 z) (sqrt.f64 y)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2))))) |
(+.f64 (fma.f64 z (/.f64 1 y) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) |
(+.f64 (fma.f64 1 (/.f64 z y) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) |
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) 2) (cbrt.f64 (/.f64 z y)) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) |
(+.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) |
(+.f64 (fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) |
(+.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) y) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) |
(+.f64 (fma.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) y) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) |
(+.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 z) (cbrt.f64 y)) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) |
(+.f64 (fma.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 y)) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) |
(+.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) |
(+.f64 (fma.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 y)) (/.f64 (sqrt.f64 z) (sqrt.f64 y)) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (/.f64 1 (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y))))) |
(+.f64 (fma.f64 z (/.f64 1 y) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) |
(+.f64 (fma.f64 1 (/.f64 z y) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) |
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) 2) (cbrt.f64 (/.f64 z y)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) |
(+.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) |
(+.f64 (fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) |
(+.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) y) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) |
(+.f64 (fma.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) y) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) |
(+.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 z) (cbrt.f64 y)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) |
(+.f64 (fma.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 y)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) |
(+.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) |
(+.f64 (fma.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 y)) (/.f64 (sqrt.f64 z) (sqrt.f64 y)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 z x) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 z x) y))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 z x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 z x) y))))) |
(-.f64 (/.f64 z y) (/.f64 x y)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 z x) y))) 1) |
(*.f64 (-.f64 z x) (/.f64 1 y)) |
(*.f64 (/.f64 (-.f64 z x) y) 1) |
(*.f64 1 (/.f64 (-.f64 z x) y)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2) (*.f64 (cbrt.f64 (-.f64 z x)) (/.f64 1 y))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 2) (cbrt.f64 (/.f64 (-.f64 z x) y))) |
(*.f64 (sqrt.f64 (-.f64 z x)) (*.f64 (sqrt.f64 (-.f64 z x)) (/.f64 1 y))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 z x) y)) (sqrt.f64 (/.f64 (-.f64 z x) y))) |
(*.f64 (neg.f64 (-.f64 z x)) (/.f64 1 (neg.f64 y))) |
(*.f64 (/.f64 1 y) (-.f64 z x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 z x) (cbrt.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 z x) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 z x)) y)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 z x)) 1) (/.f64 (sqrt.f64 (-.f64 z x)) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 z x) y))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 z x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 z x)) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 z x)) (sqrt.f64 y))) |
(pow.f64 (/.f64 (-.f64 z x) y) 1) |
(pow.f64 (pow.f64 (/.f64 (-.f64 z x) y) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 z x) y)) 2) |
(pow.f64 (/.f64 y (-.f64 z x)) -1) |
(pow.f64 (/.f64 (pow.f64 (-.f64 z x) 3) (pow.f64 y 3)) 1/3) |
(pow.f64 (/.f64 (/.f64 y (-.f64 z x)) 1) -1) |
(neg.f64 (/.f64 (-.f64 z x) (neg.f64 y))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 z x) y) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 z x) y))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 z x) y)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 z x) y) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 z x) 3) (pow.f64 y 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 z x) y))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 z x) y))) |
(exp.f64 (log.f64 (/.f64 (-.f64 z x) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 z x) y)) 1)) |
(fma.f64 z (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(fma.f64 1 (/.f64 z y) (neg.f64 (/.f64 x y))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) 2) (cbrt.f64 (/.f64 z y)) (neg.f64 (/.f64 x y))) |
(fma.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)) (neg.f64 (/.f64 x y))) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)) (neg.f64 (/.f64 x y))) |
(fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)) (neg.f64 (/.f64 x y))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) y) (neg.f64 (/.f64 x y))) |
(fma.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) y) (neg.f64 (/.f64 x y))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 z) (cbrt.f64 y)) (neg.f64 (/.f64 x y))) |
(fma.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 y)) (neg.f64 (/.f64 x y))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)) (neg.f64 (/.f64 x y))) |
(fma.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 y)) (/.f64 (sqrt.f64 z) (sqrt.f64 y)) (neg.f64 (/.f64 x y))) |
| Outputs |
|---|
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(/.f64 z (/.f64 y z)) |
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(+.f64 (fma.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 y)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) |
(+.f64 (fma.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 x (/.f64 1 (sqrt.f64 y))) (sqrt.f64 y))) (fma.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (neg.f64 (/.f64 1 (sqrt.f64 y)))))) |
(+.f64 (*.f64 0 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))) (-.f64 (*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 y))) (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)))) |
(+.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) |
(+.f64 (fma.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 x (/.f64 1 (sqrt.f64 y))) (sqrt.f64 y))) (fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (neg.f64 (/.f64 1 (sqrt.f64 y)))))) |
(+.f64 (*.f64 0 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))) (fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)) (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y)))) |
(+.f64 (fma.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 y)) (/.f64 (sqrt.f64 z) (sqrt.f64 y)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))))) |
(+.f64 (fma.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 x (/.f64 1 (sqrt.f64 y))) (sqrt.f64 y))) (fma.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 y)) (/.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 (/.f64 x (sqrt.f64 y)) (neg.f64 (/.f64 1 (sqrt.f64 y)))))) |
(+.f64 (*.f64 0 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))) (-.f64 (*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 y)) (/.f64 (sqrt.f64 z) (sqrt.f64 y))) (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 z x) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 z x) y))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 z x) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 z x) y))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 z x) y))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 z x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 z x) y))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 z x) y))))) |
(-.f64 (/.f64 z y) (/.f64 x y)) |
(/.f64 (-.f64 z x) y) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 z x) y))) 1) |
(/.f64 (-.f64 z x) y) |
(*.f64 (-.f64 z x) (/.f64 1 y)) |
(/.f64 (-.f64 z x) y) |
(*.f64 (/.f64 (-.f64 z x) y) 1) |
(/.f64 (-.f64 z x) y) |
(*.f64 1 (/.f64 (-.f64 z x) y)) |
(/.f64 (-.f64 z x) y) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2) (*.f64 (cbrt.f64 (-.f64 z x)) (/.f64 1 y))) |
(/.f64 (-.f64 z x) y) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 2)) |
(/.f64 (-.f64 z x) y) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 2) (cbrt.f64 (/.f64 (-.f64 z x) y))) |
(/.f64 (-.f64 z x) y) |
(*.f64 (sqrt.f64 (-.f64 z x)) (*.f64 (sqrt.f64 (-.f64 z x)) (/.f64 1 y))) |
(/.f64 (-.f64 z x) y) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 z x) y)) (sqrt.f64 (/.f64 (-.f64 z x) y))) |
(/.f64 (-.f64 z x) y) |
(*.f64 (neg.f64 (-.f64 z x)) (/.f64 1 (neg.f64 y))) |
(/.f64 (-.f64 z x) y) |
(*.f64 (/.f64 1 y) (-.f64 z x)) |
(/.f64 (-.f64 z x) y) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 z x) (cbrt.f64 y))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 z x) (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2)) |
(/.f64 (/.f64 (-.f64 z x) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 z x) (sqrt.f64 y))) |
(/.f64 (/.f64 (-.f64 z x) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 z x)) y)) |
(/.f64 (-.f64 z x) y) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 z x)) 1) (/.f64 (sqrt.f64 (-.f64 z x)) y)) |
(/.f64 (-.f64 z x) y) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 z x) y))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 z x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 z x)) (cbrt.f64 y))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 z x) (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2)) |
(/.f64 (/.f64 (-.f64 z x) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 z x)) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 z x) (sqrt.f64 y))) |
(/.f64 (/.f64 (-.f64 z x) (sqrt.f64 y)) (sqrt.f64 y)) |
(pow.f64 (/.f64 (-.f64 z x) y) 1) |
(/.f64 (-.f64 z x) y) |
(pow.f64 (pow.f64 (/.f64 (-.f64 z x) y) 3) 1/3) |
(/.f64 (-.f64 z x) y) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 3) |
(/.f64 (-.f64 z x) y) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 z x) y)) 2) |
(/.f64 (-.f64 z x) y) |
(pow.f64 (/.f64 y (-.f64 z x)) -1) |
(/.f64 (-.f64 z x) y) |
(pow.f64 (/.f64 (pow.f64 (-.f64 z x) 3) (pow.f64 y 3)) 1/3) |
(/.f64 (-.f64 z x) y) |
(pow.f64 (/.f64 (/.f64 y (-.f64 z x)) 1) -1) |
(/.f64 (-.f64 z x) y) |
(neg.f64 (/.f64 (-.f64 z x) (neg.f64 y))) |
(/.f64 (-.f64 z x) y) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 z x) y) 2)) |
(/.f64 (-.f64 z x) y) |
(log.f64 (exp.f64 (/.f64 (-.f64 z x) y))) |
(/.f64 (-.f64 z x) y) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 z x) y)))) |
(/.f64 (-.f64 z x) y) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 z x) y) 3)) |
(/.f64 (-.f64 z x) y) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 z x) 3) (pow.f64 y 3))) |
(/.f64 (-.f64 z x) y) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 z x) y))) |
(/.f64 (-.f64 z x) y) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 z x) y))) |
(/.f64 (-.f64 z x) y) |
(exp.f64 (log.f64 (/.f64 (-.f64 z x) y))) |
(/.f64 (-.f64 z x) y) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 z x) y)) 1)) |
(/.f64 (-.f64 z x) y) |
(fma.f64 z (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(/.f64 (-.f64 z x) y) |
(fma.f64 1 (/.f64 z y) (neg.f64 (/.f64 x y))) |
(/.f64 (-.f64 z x) y) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z y)) 2) (cbrt.f64 (/.f64 z y)) (neg.f64 (/.f64 x y))) |
(/.f64 (-.f64 z x) y) |
(fma.f64 (sqrt.f64 (/.f64 z y)) (sqrt.f64 (/.f64 z y)) (neg.f64 (/.f64 x y))) |
(/.f64 (-.f64 z x) y) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)) (neg.f64 (/.f64 x y))) |
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)) (/.f64 (neg.f64 x) y)) |
(-.f64 (/.f64 (*.f64 1 (/.f64 z (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x y)) |
(fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)) (neg.f64 (/.f64 x y))) |
(fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)) (/.f64 (neg.f64 x) y)) |
(-.f64 (*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 z (sqrt.f64 y))) (/.f64 x y)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) y) (neg.f64 (/.f64 x y))) |
(/.f64 (-.f64 z x) y) |
(fma.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) y) (neg.f64 (/.f64 x y))) |
(/.f64 (-.f64 z x) y) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 z) (cbrt.f64 y)) (neg.f64 (/.f64 x y))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 z) (cbrt.f64 y)) (/.f64 (neg.f64 x) y)) |
(-.f64 (pow.f64 (/.f64 (cbrt.f64 z) (cbrt.f64 y)) 3) (/.f64 x y)) |
(fma.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 y)) (neg.f64 (/.f64 x y))) |
(fma.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 y)) (/.f64 (neg.f64 x) y)) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)) (neg.f64 (/.f64 x y))) |
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y)) (/.f64 (neg.f64 x) y)) |
(-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 z) (sqrt.f64 y))) (/.f64 x y)) |
(fma.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 y)) (/.f64 (sqrt.f64 z) (sqrt.f64 y)) (neg.f64 (/.f64 x y))) |
(fma.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 y)) (/.f64 (sqrt.f64 z) (sqrt.f64 y)) (/.f64 (neg.f64 x) y)) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 y)) (/.f64 (sqrt.f64 z) (sqrt.f64 y))) (/.f64 x y)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 4.8b | (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
| ✓ | 24.4b | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
Compiled 52 to 14 computations (73.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
| 1.0ms | z | @ | 0 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
| 1.0ms | y | @ | inf | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
| 1× | batch-egg-rewrite |
| 706× | log-prod_binary64 |
| 532× | fma-def_binary64 |
| 276× | fma-neg_binary64 |
| 241× | expm1-udef_binary64 |
| 241× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 34 |
| 1 | 274 | 32 |
| 2 | 4159 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (hypot.f64 x y) 2) (/.f64 1/2 y)) (neg.f64 (*.f64 (*.f64 z z) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) y)))) (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) y)))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) y))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 (hypot.f64 x y) 2) (/.f64 1/2 y)) (*.f64 (*.f64 z z) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y)) 2)) (cbrt.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (*.f64 y y) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 (*.f64 z z))) (cbrt.f64 (neg.f64 (*.f64 z z)))) (cbrt.f64 (neg.f64 (*.f64 z z))) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) (cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))) (cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (*.f64 z z))) (sqrt.f64 (neg.f64 (*.f64 z z))) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (*.f64 z z)))) (hypot.f64 y (sqrt.f64 (neg.f64 (*.f64 z z)))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 z z) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (hypot.f64 x y) z) (-.f64 (hypot.f64 x y) z) (fma.f64 (neg.f64 z) z (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (hypot.f64 x y) z) (-.f64 (hypot.f64 x y) z) (fma.f64 (neg.f64 (*.f64 z z)) 1 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (hypot.f64 x y) z) (-.f64 (hypot.f64 x y) z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 z 4)) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 z 4))) (pow.f64 (cbrt.f64 z) 2) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 (*.f64 x x) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) 1) z (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 z)) (sqrt.f64 z) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 (*.f64 y y) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) 1)))))) |
| 1× | egg-herbie |
| 586× | unswap-sqr_binary64 |
| 373× | fma-neg_binary64 |
| 294× | cancel-sign-sub-inv_binary64 |
| 253× | log-prod_binary64 |
| 173× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 486 | 5719 |
| 1 | 1213 | 5500 |
| 2 | 3957 | 5406 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) y)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/2 (-.f64 y (/.f64 (pow.f64 z 2) y))) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 1/2 (-.f64 y (/.f64 (pow.f64 z 2) y))) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 1/2 (-.f64 y (/.f64 (pow.f64 z 2) y))) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/2 (-.f64 y (/.f64 (pow.f64 z 2) y))) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 1/2 (-.f64 y (/.f64 (pow.f64 z 2) y))) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 1/2 (-.f64 y (/.f64 (pow.f64 z 2) y))) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y)) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(*.f64 1/2 y) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(*.f64 1/2 y) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(*.f64 1/2 (/.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 1/2 (+.f64 y (/.f64 (pow.f64 x 2) y))) (*.f64 -1/2 (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 1/2 (+.f64 y (/.f64 (pow.f64 x 2) y))) (*.f64 -1/2 (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 1/2 (+.f64 y (/.f64 (pow.f64 x 2) y))) (*.f64 -1/2 (/.f64 (pow.f64 z 2) y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 1/2 (+.f64 y (/.f64 (pow.f64 x 2) y))) (*.f64 -1/2 (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 1/2 (+.f64 y (/.f64 (pow.f64 x 2) y))) (*.f64 -1/2 (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 1/2 (+.f64 y (/.f64 (pow.f64 x 2) y))) (*.f64 -1/2 (/.f64 (pow.f64 z 2) y))) |
(-.f64 (pow.f64 y 2) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(pow.f64 x 2) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(pow.f64 x 2) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (pow.f64 x 2) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(pow.f64 y 2) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(pow.f64 y 2) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(-.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 z 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 z 2)) (+.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(*.f64 -1 (pow.f64 z 2)) |
(+.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2))) |
(+.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2))) |
(+.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2))) |
(*.f64 -1 (pow.f64 z 2)) |
(+.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2))) |
(+.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2))) |
(+.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (pow.f64 z 2)) (pow.f64 x 2))) |
(+.f64 (*.f64 (pow.f64 (hypot.f64 x y) 2) (/.f64 1/2 y)) (neg.f64 (*.f64 (*.f64 z z) (/.f64 1/2 y)))) |
(+.f64 0 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) y)))) (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) y)))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) y)))))) |
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) y))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) y)))))) |
(-.f64 (*.f64 (pow.f64 (hypot.f64 x y) 2) (/.f64 1/2 y)) (*.f64 (*.f64 z z) (/.f64 1/2 y))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y)))) 1) |
(*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y)) |
(*.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y)) 1) |
(*.f64 1 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y)) 2)) (cbrt.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y)))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) (/.f64 1/2 y))) |
(*.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y))) (sqrt.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y)))) |
(*.f64 (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) (*.f64 (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) (/.f64 1/2 y))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) (/.f64 1 (*.f64 y -2))) |
(*.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) y) 1/2) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) (+.f64 y y))) |
(*.f64 (/.f64 (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) 1) (/.f64 (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) (+.f64 y y))) |
(*.f64 (/.f64 (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) y) (/.f64 (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) 2)) |
(*.f64 (/.f64 1 y) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) 2)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y y)) 2)) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (cbrt.f64 (+.f64 y y)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y y))) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (sqrt.f64 (+.f64 y y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) 2) y) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) 2)) |
(*.f64 (/.f64 (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) 2) (/.f64 (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) 2) 2) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) 2) (pow.f64 (cbrt.f64 (+.f64 y y)) 2)) (cbrt.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y)))) |
(*.f64 (/.f64 (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) (pow.f64 (cbrt.f64 (+.f64 y y)) 2)) (/.f64 (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) (cbrt.f64 (+.f64 y y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) 2) (sqrt.f64 (+.f64 y y))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) (sqrt.f64 (+.f64 y y)))) |
(pow.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y)) 1) |
(pow.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y))) 3) |
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y))) 2) |
(pow.f64 (*.f64 2 (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)))) -1) |
(pow.f64 (/.f64 (*.f64 2 (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)))) 1) -1) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (*.f64 y -2))) |
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(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) 2) (neg.f64 (*.f64 z z))) |
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) 2) (*.f64 (neg.f64 (*.f64 z z)) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) (neg.f64 (*.f64 z z))) |
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) (*.f64 (neg.f64 (*.f64 z z)) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (-.f64 (*.f64 y y) (*.f64 z z))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (-.f64 (*.f64 y y) (*.f64 z z))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) 1)) |
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (-.f64 (*.f64 y y) (*.f64 z z))) |
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) 1)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (-.f64 (*.f64 y y) (*.f64 z z))) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) 1)) |
(fma.f64 (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) (fma.f64 (neg.f64 z) z (*.f64 z z))) |
(fma.f64 (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) (fma.f64 (neg.f64 (*.f64 z z)) 1 (*.f64 z z))) |
(fma.f64 (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 z 4)) (*.f64 z z))) |
(fma.f64 (hypot.f64 x y) (hypot.f64 x y) (neg.f64 (*.f64 z z))) |
(fma.f64 (hypot.f64 x y) (hypot.f64 x y) (*.f64 (neg.f64 (*.f64 z z)) 1)) |
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (-.f64 (*.f64 x x) (*.f64 z z))) |
(fma.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3) (pow.f64 z 6)) (/.f64 1 (fma.f64 (*.f64 z z) (fma.f64 z z (pow.f64 (hypot.f64 x y) 2)) (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2))) (fma.f64 (neg.f64 z) z (*.f64 z z))) |
(fma.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3) (pow.f64 z 6)) (/.f64 1 (fma.f64 (*.f64 z z) (fma.f64 z z (pow.f64 (hypot.f64 x y) 2)) (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2))) (fma.f64 (neg.f64 (*.f64 z z)) 1 (*.f64 z z))) |
(fma.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3) (pow.f64 z 6)) (/.f64 1 (fma.f64 (*.f64 z z) (fma.f64 z z (pow.f64 (hypot.f64 x y) 2)) (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 z 4)) (*.f64 z z))) |
(fma.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (pow.f64 (*.f64 x y) 2))) (neg.f64 (*.f64 z z))) |
(fma.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) (pow.f64 y 4)) (pow.f64 (*.f64 x y) 2))) (*.f64 (neg.f64 (*.f64 z z)) 1)) |
(fma.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2) (pow.f64 z 4)) (/.f64 1 (fma.f64 z z (pow.f64 (hypot.f64 x y) 2))) (fma.f64 (neg.f64 z) z (*.f64 z z))) |
(fma.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2) (pow.f64 z 4)) (/.f64 1 (fma.f64 z z (pow.f64 (hypot.f64 x y) 2))) (fma.f64 (neg.f64 (*.f64 z z)) 1 (*.f64 z z))) |
(fma.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2) (pow.f64 z 4)) (/.f64 1 (fma.f64 z z (pow.f64 (hypot.f64 x y) 2))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 z 4)) (*.f64 z z))) |
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (fma.f64 x x (*.f64 (neg.f64 y) y))) (neg.f64 (*.f64 z z))) |
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (fma.f64 x x (*.f64 (neg.f64 y) y))) (*.f64 (neg.f64 (*.f64 z z)) 1)) |
(fma.f64 (neg.f64 z) z (pow.f64 (hypot.f64 x y) 2)) |
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (-.f64 (*.f64 x x) (*.f64 z z))) |
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (*.f64 y y) (*.f64 z z))) |
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) 1)) |
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (*.f64 z z))) (cbrt.f64 (neg.f64 (*.f64 z z)))) (cbrt.f64 (neg.f64 (*.f64 z z))) (pow.f64 (hypot.f64 x y) 2)) |
(fma.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) (cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))) (cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 x x)) |
(fma.f64 (sqrt.f64 (neg.f64 (*.f64 z z))) (sqrt.f64 (neg.f64 (*.f64 z z))) (pow.f64 (hypot.f64 x y) 2)) |
(fma.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (*.f64 z z)))) (hypot.f64 y (sqrt.f64 (neg.f64 (*.f64 z z)))) (*.f64 x x)) |
(fma.f64 -1 (*.f64 z z) (pow.f64 (hypot.f64 x y) 2)) |
(fma.f64 (+.f64 (hypot.f64 x y) z) (-.f64 (hypot.f64 x y) z) (fma.f64 (neg.f64 z) z (*.f64 z z))) |
(fma.f64 (+.f64 (hypot.f64 x y) z) (-.f64 (hypot.f64 x y) z) (fma.f64 (neg.f64 (*.f64 z z)) 1 (*.f64 z z))) |
(fma.f64 (+.f64 (hypot.f64 x y) z) (-.f64 (hypot.f64 x y) z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 z 4)) (*.f64 z z))) |
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) |
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 z 4))) (pow.f64 (cbrt.f64 z) 2) (pow.f64 (hypot.f64 x y) 2)) |
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 (*.f64 x x) (*.f64 z z))) |
(fma.f64 (*.f64 (neg.f64 z) 1) z (pow.f64 (hypot.f64 x y) 2)) |
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (pow.f64 (hypot.f64 x y) 2)) |
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 z)) (sqrt.f64 z) (pow.f64 (hypot.f64 x y) 2)) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 (*.f64 y y) (*.f64 z z))) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) 1)) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) y)) |
(*.f64 1/2 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) y)) |
(*.f64 1/2 (-.f64 y (/.f64 (*.f64 z z) y))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) y) (/.f64 (*.f64 x x) y))) |
(*.f64 1/2 (+.f64 (/.f64 (*.f64 x x) y) (-.f64 y (/.f64 (*.f64 z z) y)))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) y) (/.f64 (*.f64 x x) y))) |
(*.f64 1/2 (+.f64 (/.f64 (*.f64 x x) y) (-.f64 y (/.f64 (*.f64 z z) y)))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (pow.f64 y 2) (pow.f64 z 2)) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) y) (/.f64 (*.f64 x x) y))) |
(*.f64 1/2 (+.f64 (/.f64 (*.f64 x x) y) (-.f64 y (/.f64 (*.f64 z z) y)))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(+.f64 (*.f64 1/2 (-.f64 y (/.f64 (pow.f64 z 2) y))) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) y) (/.f64 (*.f64 x x) y))) |
(*.f64 1/2 (+.f64 (/.f64 (*.f64 x x) y) (-.f64 y (/.f64 (*.f64 z z) y)))) |
(+.f64 (*.f64 1/2 (-.f64 y (/.f64 (pow.f64 z 2) y))) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) y) (/.f64 (*.f64 x x) y))) |
(*.f64 1/2 (+.f64 (/.f64 (*.f64 x x) y) (-.f64 y (/.f64 (*.f64 z z) y)))) |
(+.f64 (*.f64 1/2 (-.f64 y (/.f64 (pow.f64 z 2) y))) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) y) (/.f64 (*.f64 x x) y))) |
(*.f64 1/2 (+.f64 (/.f64 (*.f64 x x) y) (-.f64 y (/.f64 (*.f64 z z) y)))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(+.f64 (*.f64 1/2 (-.f64 y (/.f64 (pow.f64 z 2) y))) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) y) (/.f64 (*.f64 x x) y))) |
(*.f64 1/2 (+.f64 (/.f64 (*.f64 x x) y) (-.f64 y (/.f64 (*.f64 z z) y)))) |
(+.f64 (*.f64 1/2 (-.f64 y (/.f64 (pow.f64 z 2) y))) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) y) (/.f64 (*.f64 x x) y))) |
(*.f64 1/2 (+.f64 (/.f64 (*.f64 x x) y) (-.f64 y (/.f64 (*.f64 z z) y)))) |
(+.f64 (*.f64 1/2 (-.f64 y (/.f64 (pow.f64 z 2) y))) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/2 (+.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) y) (/.f64 (*.f64 x x) y))) |
(*.f64 1/2 (+.f64 (/.f64 (*.f64 x x) y) (-.f64 y (/.f64 (*.f64 z z) y)))) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y)) |
(*.f64 1/2 (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y)) |
(*.f64 1/2 (/.f64 (+.f64 z x) (/.f64 y (-.f64 x z)))) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(*.f64 1/2 (+.f64 y (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y))) |
(*.f64 1/2 (+.f64 y (/.f64 (+.f64 z x) (/.f64 y (-.f64 x z))))) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(*.f64 1/2 (+.f64 y (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y))) |
(*.f64 1/2 (+.f64 y (/.f64 (+.f64 z x) (/.f64 y (-.f64 x z))))) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(*.f64 1/2 (+.f64 y (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y))) |
(*.f64 1/2 (+.f64 y (/.f64 (+.f64 z x) (/.f64 y (-.f64 x z))))) |
(*.f64 1/2 y) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(*.f64 1/2 (+.f64 y (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y))) |
(*.f64 1/2 (+.f64 y (/.f64 (+.f64 z x) (/.f64 y (-.f64 x z))))) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(*.f64 1/2 (+.f64 y (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y))) |
(*.f64 1/2 (+.f64 y (/.f64 (+.f64 z x) (/.f64 y (-.f64 x z))))) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(*.f64 1/2 (+.f64 y (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y))) |
(*.f64 1/2 (+.f64 y (/.f64 (+.f64 z x) (/.f64 y (-.f64 x z))))) |
(*.f64 1/2 y) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(*.f64 1/2 (+.f64 y (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y))) |
(*.f64 1/2 (+.f64 y (/.f64 (+.f64 z x) (/.f64 y (-.f64 x z))))) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(*.f64 1/2 (+.f64 y (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y))) |
(*.f64 1/2 (+.f64 y (/.f64 (+.f64 z x) (/.f64 y (-.f64 x z))))) |
(+.f64 (*.f64 1/2 y) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y))) |
(*.f64 1/2 (+.f64 y (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) y))) |
(*.f64 1/2 (+.f64 y (/.f64 (+.f64 z x) (/.f64 y (-.f64 x z))))) |
(*.f64 1/2 (/.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (*.f64 x x) (*.f64 y y)) y)) |
(*.f64 1/2 (/.f64 (fma.f64 y y (*.f64 x x)) y)) |
(/.f64 1/2 (/.f64 y (fma.f64 x x (*.f64 y y)))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) y))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (/.f64 (+.f64 (*.f64 x x) (*.f64 y y)) y))) |
(fma.f64 1/2 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 z (/.f64 y z)) -1/2)) |
(fma.f64 1/2 (/.f64 (fma.f64 x x (*.f64 y y)) y) (*.f64 (/.f64 (*.f64 z z) y) -1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) y))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (/.f64 (+.f64 (*.f64 x x) (*.f64 y y)) y))) |
(fma.f64 1/2 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 z (/.f64 y z)) -1/2)) |
(fma.f64 1/2 (/.f64 (fma.f64 x x (*.f64 y y)) y) (*.f64 (/.f64 (*.f64 z z) y) -1/2)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 y 2) (pow.f64 x 2)) y))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (/.f64 (+.f64 (*.f64 x x) (*.f64 y y)) y))) |
(fma.f64 1/2 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 z (/.f64 y z)) -1/2)) |
(fma.f64 1/2 (/.f64 (fma.f64 x x (*.f64 y y)) y) (*.f64 (/.f64 (*.f64 z z) y) -1/2)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(/.f64 (*.f64 -1/2 (*.f64 z z)) y) |
(*.f64 (/.f64 z (/.f64 y z)) -1/2) |
(*.f64 (/.f64 (*.f64 z z) y) -1/2) |
(+.f64 (*.f64 1/2 (+.f64 y (/.f64 (pow.f64 x 2) y))) (*.f64 -1/2 (/.f64 (pow.f64 z 2) y))) |
(fma.f64 1/2 (+.f64 y (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 -1/2 (*.f64 z z)) y)) |
(fma.f64 1/2 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 z (/.f64 y z)) -1/2)) |
(fma.f64 1/2 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 (*.f64 z z) y) -1/2)) |
(+.f64 (*.f64 1/2 (+.f64 y (/.f64 (pow.f64 x 2) y))) (*.f64 -1/2 (/.f64 (pow.f64 z 2) y))) |
(fma.f64 1/2 (+.f64 y (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 -1/2 (*.f64 z z)) y)) |
(fma.f64 1/2 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 z (/.f64 y z)) -1/2)) |
(fma.f64 1/2 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 (*.f64 z z) y) -1/2)) |
(+.f64 (*.f64 1/2 (+.f64 y (/.f64 (pow.f64 x 2) y))) (*.f64 -1/2 (/.f64 (pow.f64 z 2) y))) |
(fma.f64 1/2 (+.f64 y (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 -1/2 (*.f64 z z)) y)) |
(fma.f64 1/2 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 z (/.f64 y z)) -1/2)) |
(fma.f64 1/2 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 (*.f64 z z) y) -1/2)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(/.f64 (*.f64 -1/2 (*.f64 z z)) y) |
(*.f64 (/.f64 z (/.f64 y z)) -1/2) |
(*.f64 (/.f64 (*.f64 z z) y) -1/2) |
(+.f64 (*.f64 1/2 (+.f64 y (/.f64 (pow.f64 x 2) y))) (*.f64 -1/2 (/.f64 (pow.f64 z 2) y))) |
(fma.f64 1/2 (+.f64 y (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 -1/2 (*.f64 z z)) y)) |
(fma.f64 1/2 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 z (/.f64 y z)) -1/2)) |
(fma.f64 1/2 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 (*.f64 z z) y) -1/2)) |
(+.f64 (*.f64 1/2 (+.f64 y (/.f64 (pow.f64 x 2) y))) (*.f64 -1/2 (/.f64 (pow.f64 z 2) y))) |
(fma.f64 1/2 (+.f64 y (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 -1/2 (*.f64 z z)) y)) |
(fma.f64 1/2 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 z (/.f64 y z)) -1/2)) |
(fma.f64 1/2 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 (*.f64 z z) y) -1/2)) |
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(fma.f64 1/2 (+.f64 y (/.f64 (*.f64 x x) y)) (/.f64 (*.f64 -1/2 (*.f64 z z)) y)) |
(fma.f64 1/2 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 z (/.f64 y z)) -1/2)) |
(fma.f64 1/2 (+.f64 y (/.f64 (*.f64 x x) y)) (*.f64 (/.f64 (*.f64 z z) y) -1/2)) |
(-.f64 (pow.f64 y 2) (pow.f64 z 2)) |
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(pow.f64 x 2) |
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(pow.f64 x 2) |
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(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) |
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(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) |
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(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
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(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
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(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
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(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) |
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(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(*.f64 -1 (pow.f64 z 2)) |
(*.f64 z (neg.f64 z)) |
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(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
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(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
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(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
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(*.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) |
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(*.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) |
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(*.f64 2 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) y)))))) |
(-.f64 (*.f64 (pow.f64 (hypot.f64 x y) 2) (/.f64 1/2 y)) (*.f64 (*.f64 z z) (/.f64 1/2 y))) |
(*.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y)))) 1) |
(*.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) |
(*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y)) |
(*.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y)) 1) |
(*.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) |
(*.f64 1 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y))) |
(*.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) |
(*.f64 (cbrt.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y)) 2))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) 2))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 y y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y)) 2)) (cbrt.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y)))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) 2))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 y y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) -2))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) 2) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) (/.f64 1/2 y))) |
(*.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) |
(*.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y))) (sqrt.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (/.f64 1/2 y)))) |
(*.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) |
(*.f64 (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) (*.f64 (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) (/.f64 1/2 y))) |
(*.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) |
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(*.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) y) 1/2) |
(*.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) |
(*.f64 1/2 (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) y)) |
(*.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) (+.f64 y y))) |
(*.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) |
(*.f64 (/.f64 (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) 1) (/.f64 (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) (+.f64 y y))) |
(*.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) |
(*.f64 (/.f64 (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) y) (/.f64 (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) 2)) |
(*.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) |
(*.f64 (/.f64 1 y) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) 2)) |
(*.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) |
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(*.f64 (/.f64 (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) 2) (/.f64 (hypot.f64 (hypot.f64 x y) (sqrt.f64 (neg.f64 (*.f64 z z)))) y)) |
(*.f64 (/.f64 1/2 y) (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) 2) 2) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z))) y)) |
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(/.f64 1 (/.f64 (fma.f64 z z (pow.f64 (hypot.f64 x y) 2)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2) (pow.f64 z 4)))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 4) (pow.f64 z 4)) (fma.f64 z z (pow.f64 (hypot.f64 x y) 2))) |
(fma.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2) (pow.f64 z 4)) (/.f64 1 (fma.f64 z z (pow.f64 (hypot.f64 x y) 2))) (fma.f64 (neg.f64 (*.f64 z z)) 1 (*.f64 z z))) |
(/.f64 1 (/.f64 (fma.f64 z z (pow.f64 (hypot.f64 x y) 2)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2) (pow.f64 z 4)))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 4) (pow.f64 z 4)) (fma.f64 z z (pow.f64 (hypot.f64 x y) 2))) |
(fma.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2) (pow.f64 z 4)) (/.f64 1 (fma.f64 z z (pow.f64 (hypot.f64 x y) 2))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 z 4)) (*.f64 z z))) |
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 z 4)) (*.f64 z z)) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 4) (pow.f64 z 4)) (fma.f64 z z (pow.f64 (hypot.f64 x y) 2)))) |
(+.f64 (-.f64 (*.f64 z z) (*.f64 (cbrt.f64 (pow.f64 z 4)) (pow.f64 (cbrt.f64 z) 2))) (/.f64 (-.f64 (pow.f64 (hypot.f64 x y) 4) (pow.f64 z 4)) (fma.f64 z z (pow.f64 (hypot.f64 x y) 2)))) |
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (fma.f64 x x (*.f64 (neg.f64 y) y))) (neg.f64 (*.f64 z z))) |
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (fma.f64 x x (*.f64 y (neg.f64 y)))) (*.f64 z (neg.f64 z))) |
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 z (neg.f64 z))) |
(-.f64 (/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 z z)) |
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (fma.f64 x x (*.f64 (neg.f64 y) y))) (*.f64 (neg.f64 (*.f64 z z)) 1)) |
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (fma.f64 x x (*.f64 y (neg.f64 y)))) (*.f64 z (neg.f64 z))) |
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 z (neg.f64 z))) |
(-.f64 (/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 z z)) |
(fma.f64 (neg.f64 z) z (pow.f64 (hypot.f64 x y) 2)) |
(-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) |
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (-.f64 (*.f64 x x) (*.f64 z z))) |
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (*.f64 y y) (*.f64 z z))) |
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) 1)) |
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (*.f64 z z))) (cbrt.f64 (neg.f64 (*.f64 z z)))) (cbrt.f64 (neg.f64 (*.f64 z z))) (pow.f64 (hypot.f64 x y) 2)) |
(-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) |
(fma.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) (cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))) (cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 x x)) |
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(fma.f64 (sqrt.f64 (neg.f64 (*.f64 z z))) (sqrt.f64 (neg.f64 (*.f64 z z))) (pow.f64 (hypot.f64 x y) 2)) |
(-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) |
(fma.f64 (hypot.f64 y (sqrt.f64 (neg.f64 (*.f64 z z)))) (hypot.f64 y (sqrt.f64 (neg.f64 (*.f64 z z)))) (*.f64 x x)) |
(fma.f64 (hypot.f64 y (sqrt.f64 (*.f64 z (neg.f64 z)))) (hypot.f64 y (sqrt.f64 (*.f64 z (neg.f64 z)))) (*.f64 x x)) |
(fma.f64 -1 (*.f64 z z) (pow.f64 (hypot.f64 x y) 2)) |
(-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) |
(fma.f64 (+.f64 (hypot.f64 x y) z) (-.f64 (hypot.f64 x y) z) (fma.f64 (neg.f64 z) z (*.f64 z z))) |
(-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) |
(fma.f64 (+.f64 (hypot.f64 x y) z) (-.f64 (hypot.f64 x y) z) (fma.f64 (neg.f64 (*.f64 z z)) 1 (*.f64 z z))) |
(-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) |
(fma.f64 (+.f64 (hypot.f64 x y) z) (-.f64 (hypot.f64 x y) z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 z 4)) (*.f64 z z))) |
(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 z 4)) (*.f64 z z))) |
(+.f64 (-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 (cbrt.f64 (pow.f64 z 4)) (pow.f64 (cbrt.f64 z) 2)))) |
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) |
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 z 4))) (pow.f64 (cbrt.f64 z) 2) (pow.f64 (hypot.f64 x y) 2)) |
(fma.f64 (cbrt.f64 (pow.f64 z 4)) (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (pow.f64 (hypot.f64 x y) 2)) |
(-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 (cbrt.f64 (pow.f64 z 4)) (pow.f64 (cbrt.f64 z) 2))) |
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 (*.f64 x x) (*.f64 z z))) |
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(fma.f64 (*.f64 (neg.f64 z) 1) z (pow.f64 (hypot.f64 x y) 2)) |
(-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) |
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (pow.f64 (hypot.f64 x y) 2)) |
(-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) |
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 z)) (sqrt.f64 z) (pow.f64 (hypot.f64 x y) 2)) |
(-.f64 (pow.f64 (hypot.f64 x y) 2) (*.f64 z z)) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 (*.f64 y y) (*.f64 z z))) |
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) 1)) |
(fma.f64 x x (-.f64 (*.f64 y y) (*.f64 z z))) |
(-.f64 (fma.f64 y y (*.f64 x x)) (*.f64 z z)) |
(-.f64 (fma.f64 x x (*.f64 y y)) (*.f64 z z)) |
Compiled 18572 to 7840 computations (57.8% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 650 | 13 | 663 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 652 | 13 | 665 |
| Status | Error | Program |
|---|---|---|
| ▶ | 41.2b | (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y 2)) |
| 48.2b | (/.f64 (*.f64 y y) (*.f64 y 2)) | |
| ▶ | 47.8b | (/.f64 (*.f64 x x) (*.f64 y 2)) |
| 56.0b | (/.f64 (*.f64 -1/2 (*.f64 z z)) y) | |
| 53.3b | (*.f64 (/.f64 z (/.f64 y z)) -1/2) | |
| 36.2b | (*.f64 1/2 (/.f64 (+.f64 z x) (/.f64 y (-.f64 x z)))) | |
| ▶ | 27.0b | (*.f64 1/2 y) |
| ▶ | 15.1b | (*.f64 -1/2 (-.f64 (/.f64 (*.f64 x (neg.f64 x)) y) y)) |
| 16.8b | (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) | |
| 11.6b | (*.f64 -1/2 (-.f64 (/.f64 1 (/.f64 y (-.f64 (*.f64 z z) (*.f64 x x)))) y)) | |
| 10.3b | (*.f64 -1/2 (-.f64 (*.f64 (+.f64 x z) (/.f64 (neg.f64 x) y)) y)) | |
| 16.9b | (*.f64 -1/2 (-.f64 (*.f64 (+.f64 x z) (/.f64 z y)) y)) | |
| ▶ | 0.6b | (*.f64 -1/2 (-.f64 (*.f64 (+.f64 x z) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 z x) y)))) y)) |
Compiled 350 to 236 computations (32.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (pow.f64 (cbrt.f64 (-.f64 z x)) 2) |
| ✓ | 0.6b | (cbrt.f64 y) |
| ✓ | 0.7b | (cbrt.f64 (-.f64 z x)) |
| ✓ | 4.9b | (cbrt.f64 (/.f64 (-.f64 z x) y)) |
Compiled 142 to 51 computations (64.1% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (cbrt.f64 y) |
| 2.0ms | z | @ | 0 | (cbrt.f64 (/.f64 (-.f64 z x) y)) |
| 2.0ms | z | @ | 0 | (pow.f64 (cbrt.f64 (-.f64 z x)) 2) |
| 2.0ms | x | @ | 0 | (cbrt.f64 (/.f64 (-.f64 z x) y)) |
| 2.0ms | z | @ | 0 | (cbrt.f64 (-.f64 z x)) |
| 1× | batch-egg-rewrite |
| 557× | prod-diff_binary64 |
| 541× | log-prod_binary64 |
| 342× | pow-prod-down_binary64 |
| 287× | pow2_binary64 |
| 212× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 27 |
| 1 | 235 | 27 |
| 2 | 3086 | 27 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (/.f64 (-.f64 z x) y)) |
(cbrt.f64 (-.f64 z x)) |
(cbrt.f64 y) |
(pow.f64 (cbrt.f64 (-.f64 z x)) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 z x)) (/.f64 1 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 z x) y) 1/6) (pow.f64 (/.f64 (-.f64 z x) y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (-.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2) 1) (/.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 z x) 1/6) 1) (/.f64 (pow.f64 (-.f64 z x) 1/6) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) -2) (/.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 z x) 1/6) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (/.f64 (pow.f64 (-.f64 z x) 1/6) (cbrt.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/6) (/.f64 (cbrt.f64 (-.f64 z x)) (pow.f64 y 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2) (pow.f64 y 1/6)) (/.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) (pow.f64 y 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2) (/.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 z x) 1/6) (/.f64 (cbrt.f64 y) (pow.f64 (-.f64 z x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (-.f64 z x))) (cbrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (-.f64 z x))) (neg.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 (-.f64 z x)) (pow.f64 y 1/6)) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 (-.f64 z x)) 1) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 z x) y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 z x) y) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 z x) y) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 z x) y)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 z x) y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 z x)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (-.f64 z x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 z x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 z x) y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 z x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 z x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2) (cbrt.f64 (cbrt.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 z x) 1/6) (pow.f64 (-.f64 z x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (cbrt.f64 (fma.f64 x (+.f64 z x) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 x x))) (cbrt.f64 (+.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 z x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 z x) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 z x) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 z x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 z x)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 z x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 z x))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y 1/6) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y y) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 y) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (pow.f64 (-.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (pow.f64 (-.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 z x) 1/6) (sqrt.f64 (-.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 z x)) (pow.f64 (-.f64 z x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 z x)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 z x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (-.f64 z x))) 1)))))) |
| 1× | egg-herbie |
| 534× | unswap-sqr_binary64 |
| 383× | distribute-rgt-in_binary64 |
| 378× | distribute-lft-in_binary64 |
| 341× | associate-*r*_binary64 |
| 292× | sqr-pow_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 461 | 12884904869 |
| 1 | 1136 | 2776 |
| 2 | 4273 | 2772 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 1 x) y) 1/3) (cbrt.f64 -1)) |
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) y) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) z)))) |
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) y) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 11) (pow.f64 x 7))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 z 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) z))))) |
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) y) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 11) (pow.f64 x 7))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 z 2)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 2)) (pow.f64 x 2)) 1/3) (/.f64 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (pow.f64 z 3)) (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) z)))))) |
(pow.f64 (/.f64 z y) 1/3) |
(+.f64 (pow.f64 (/.f64 z y) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/9) x))) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 z 7))) 1/9) (pow.f64 x 2))) (+.f64 (pow.f64 (/.f64 z y) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/9) x)))) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 z 7))) 1/9) (pow.f64 x 2))) (+.f64 (pow.f64 (/.f64 z y) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/9) x)) (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/3)) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 z 2))) 1/3)))) (pow.f64 x 3)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 2)) (pow.f64 z 2)) 1/3)))))) |
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 -1)) |
(+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) z)))) |
(+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) z))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 z 2)))))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))))) (pow.f64 z 3)) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) z))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 z 2))))))) |
(pow.f64 z 1/3) |
(+.f64 (pow.f64 z 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9) x))) |
(+.f64 (pow.f64 z 1/3) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/9) (pow.f64 x 2))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9) x)))) |
(+.f64 (pow.f64 z 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (*.f64 (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3)) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3)))) (pow.f64 x 3)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/9) (pow.f64 x 2))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9) x))))) |
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2)) |
(+.f64 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (*.f64 (pow.f64 (cbrt.f64 -1) 1/3) z)))) |
(+.f64 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 x 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 x 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (*.f64 (pow.f64 (cbrt.f64 -1) 1/3) z))))) |
(+.f64 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 x))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (/.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))))) (cbrt.f64 -1)))))) (+.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 x 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 x 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) x) 1/9) (*.f64 (pow.f64 (cbrt.f64 -1) 1/3) z)))))) |
(pow.f64 (pow.f64 z 2) 1/3) |
(+.f64 (pow.f64 (pow.f64 z 2) 1/3) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 z) 1/9) x))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/9))) (pow.f64 x 2)) (+.f64 (pow.f64 (pow.f64 z 2) 1/3) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 z) 1/9) x)))) |
(+.f64 (*.f64 (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 z))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 z) 1/3) (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3)) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/9))) (pow.f64 x 2)) (+.f64 (pow.f64 (pow.f64 z 2) 1/3) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 z) 1/9) x))))) |
(+.f64 0 (cbrt.f64 (/.f64 (-.f64 z x) y))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)))))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)))) 1) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 1) |
(*.f64 (cbrt.f64 (-.f64 z x)) (/.f64 1 (cbrt.f64 y))) |
(*.f64 1 (cbrt.f64 (/.f64 (-.f64 z x) y))) |
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 z x) y) 1/6) (pow.f64 (/.f64 (-.f64 z x) y) 1/6)) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (-.f64 z x) y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2) 1) (/.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (-.f64 z x) 1/6) 1) (/.f64 (pow.f64 (-.f64 z x) 1/6) (cbrt.f64 y))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) -2) (/.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (cbrt.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 z x) 1/6) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (/.f64 (pow.f64 (-.f64 z x) 1/6) (cbrt.f64 (cbrt.f64 y)))) |
(*.f64 (pow.f64 y -1/6) (/.f64 (cbrt.f64 (-.f64 z x)) (pow.f64 y 1/6))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2) (pow.f64 y 1/6)) (/.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) (pow.f64 y 1/6))) |
(/.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 y)) |
(/.f64 1 (cbrt.f64 (/.f64 y (-.f64 z x)))) |
(/.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 z x)))) |
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2) (/.f64 (cbrt.f64 y) (cbrt.f64 (cbrt.f64 (-.f64 z x))))) |
(/.f64 (pow.f64 (-.f64 z x) 1/6) (/.f64 (cbrt.f64 y) (pow.f64 (-.f64 z x) 1/6))) |
(/.f64 (cbrt.f64 (neg.f64 (-.f64 z x))) (cbrt.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (cbrt.f64 (-.f64 z x))) (neg.f64 (cbrt.f64 y))) |
(/.f64 (/.f64 (cbrt.f64 (-.f64 z x)) (pow.f64 y 1/6)) (pow.f64 y 1/6)) |
(/.f64 (/.f64 (cbrt.f64 (-.f64 z x)) 1) (cbrt.f64 y)) |
(/.f64 (/.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y))) |
(pow.f64 (/.f64 (-.f64 z x) y) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 1) |
(pow.f64 (pow.f64 (/.f64 (-.f64 z x) y) 2) 1/6) |
(pow.f64 (pow.f64 (/.f64 (-.f64 z x) y) 3) 1/9) |
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 2) 1/2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))) 3) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 z x) y)) 2/3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 z x) y) 1/6) 2) |
(pow.f64 (/.f64 y (-.f64 z x)) -1/3) |
(pow.f64 (cbrt.f64 (/.f64 y (-.f64 z x))) -1) |
(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 z x))) -1) |
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 2)) |
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)))) |
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 z x) y)) 1/3)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))) 1)) |
(+.f64 0 (cbrt.f64 (-.f64 z x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 z x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 z x)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 z x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 z x)))))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 z x)))) 1) |
(*.f64 (cbrt.f64 (-.f64 z x)) 1) |
(*.f64 1 (cbrt.f64 (-.f64 z x))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2) (cbrt.f64 (cbrt.f64 (-.f64 z x)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2)) |
(*.f64 (pow.f64 (-.f64 z x) 1/6) (pow.f64 (-.f64 z x) 1/6)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 z x))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (cbrt.f64 (fma.f64 x (+.f64 z x) (*.f64 z z)))) |
(/.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 x x))) (cbrt.f64 (+.f64 z x))) |
(pow.f64 (-.f64 z x) 1/3) |
(pow.f64 (cbrt.f64 (-.f64 z x)) 1) |
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)) 1/2) |
(pow.f64 (pow.f64 (-.f64 z x) 2) 1/6) |
(pow.f64 (pow.f64 (-.f64 z x) 3) 1/9) |
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2) 3/2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 3) |
(pow.f64 (pow.f64 (-.f64 z x) 1/6) 2) |
(pow.f64 (sqrt.f64 (-.f64 z x)) 2/3) |
(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2))) |
(fabs.f64 (cbrt.f64 (-.f64 z x))) |
(log.f64 (exp.f64 (cbrt.f64 (-.f64 z x)))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 z x))))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 z x)))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 z x)))) |
(exp.f64 (log.f64 (cbrt.f64 (-.f64 z x)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 z x)) 1/3)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 z x))) 1)) |
(+.f64 0 (cbrt.f64 y)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 y))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 y))))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1) |
(*.f64 (cbrt.f64 y) 1) |
(*.f64 1 (cbrt.f64 y)) |
(*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (cbrt.f64 y))) |
(*.f64 (pow.f64 y 1/6) (pow.f64 y 1/6)) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 y)) |
(pow.f64 y 1/3) |
(pow.f64 (cbrt.f64 y) 1) |
(pow.f64 (*.f64 y y) 1/6) |
(pow.f64 (pow.f64 y 3) 1/9) |
(pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2) |
(pow.f64 (cbrt.f64 (cbrt.f64 y)) 3) |
(pow.f64 (sqrt.f64 y) 2/3) |
(pow.f64 (pow.f64 y 1/6) 2) |
(sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) |
(log.f64 (exp.f64 (cbrt.f64 y))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 y)))) |
(expm1.f64 (log1p.f64 (cbrt.f64 y))) |
(log1p.f64 (expm1.f64 (cbrt.f64 y))) |
(exp.f64 (log.f64 (cbrt.f64 y))) |
(exp.f64 (*.f64 (log.f64 y) 1/3)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) 1)) |
(+.f64 0 (cbrt.f64 (pow.f64 (-.f64 z x) 2))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)))))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)))) 1) |
(*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)) 1) |
(*.f64 1 (cbrt.f64 (pow.f64 (-.f64 z x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 4)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2)) |
(*.f64 (pow.f64 (-.f64 z x) 1/6) (sqrt.f64 (-.f64 z x))) |
(*.f64 (sqrt.f64 (-.f64 z x)) (pow.f64 (-.f64 z x) 1/6)) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 z x)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 z x)))) |
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 4)) |
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2))))) |
(cbrt.f64 (pow.f64 (-.f64 z x) 2)) |
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)))) |
(exp.f64 (*.f64 2/3 (log.f64 (-.f64 z x)))) |
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (-.f64 z x))) 1)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 1 x) y) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 -1)) |
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) y) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) z)))) |
(fma.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 -1) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 x x))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 x x))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) z)))) |
(fma.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 -1) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 y 7)))) 1/18) (pow.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 y 7)))) 1/18)) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) z) 1/3))) |
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (*.f64 x x)) (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (*.f64 x x)) (pow.f64 y 7)) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) z)) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 -1))) |
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) y) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 11) (pow.f64 x 7))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 z 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) z))))) |
(fma.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 -1) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 x 7))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 z z))) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 x x))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (*.f64 x x))) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) z))))) |
(fma.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 -1) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 x 7))) 1/18)) (*.f64 z (*.f64 z (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 y 7)))) 1/18) (pow.f64 (/.f64 1 (*.f64 x (*.f64 x (pow.f64 y 7)))) 1/18)) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) z) 1/3)))) |
(fma.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (*.f64 x x)) (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (*.f64 x x)) (pow.f64 y 7)) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) z)) (*.f64 (*.f64 z (*.f64 z (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 11) (pow.f64 x 7))) 1/18)))))) |
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 x) y) 1/3) (cbrt.f64 -1)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 11) (pow.f64 x 7))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 z 2)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 2)) (pow.f64 x 2)) 1/3) (/.f64 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (pow.f64 z 3)) (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 y 7) (pow.f64 x 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) z)))))) |
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(pow.f64 (/.f64 z y) 1/3) |
(cbrt.f64 (/.f64 z y)) |
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(*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 -1) (cbrt.f64 x)) |
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(fma.f64 1/3 (*.f64 z (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)))) (*.f64 (cbrt.f64 -1) (cbrt.f64 x))) |
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(fma.f64 (cbrt.f64 x) (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) z) (*.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 z z))))) |
(fma.f64 (cbrt.f64 -1) (cbrt.f64 x) (fma.f64 1/3 (*.f64 z (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)))) (*.f64 -1/9 (*.f64 (*.f64 z (*.f64 z (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)))))) |
(fma.f64 (cbrt.f64 -1) (cbrt.f64 x) (fma.f64 -1/9 (*.f64 (*.f64 z (*.f64 z (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18))) (*.f64 z 1/3)))) |
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(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 (fma.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (*.f64 x x)))) (*.f64 -2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (*.f64 x x)))))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 z 3)))) (fma.f64 (cbrt.f64 x) (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) z) (*.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 z z)))))) |
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 -1) 2)) -5/27)))) (fma.f64 (cbrt.f64 -1) (cbrt.f64 x) (fma.f64 1/3 (*.f64 z (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)))) (*.f64 -1/9 (*.f64 (*.f64 z (*.f64 z (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))))))) |
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 -1) 2)) -5/27) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 z 3)))) (fma.f64 (cbrt.f64 -1) (cbrt.f64 x) (fma.f64 -1/9 (*.f64 (*.f64 z (*.f64 z (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18))) (*.f64 z 1/3))))) |
(pow.f64 z 1/3) |
(cbrt.f64 z) |
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(fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 z z)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 z z)) 1/18) x)) (cbrt.f64 z)) |
(fma.f64 -1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (*.f64 z z)) 1/18) (pow.f64 (/.f64 1 (*.f64 z z)) 1/18))) (cbrt.f64 z)) |
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(pow.f64 (pow.f64 z 2) 1/3) |
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(*.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 1) |
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(/.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 y)) |
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(/.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 z x)))) |
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(cbrt.f64 (/.f64 (-.f64 z x) y)) |
(/.f64 (pow.f64 (-.f64 z x) 1/6) (/.f64 (cbrt.f64 y) (pow.f64 (-.f64 z x) 1/6))) |
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(cbrt.f64 (/.f64 (-.f64 z x) y)) |
(/.f64 (/.f64 (cbrt.f64 (-.f64 z x)) (pow.f64 y 1/6)) (pow.f64 y 1/6)) |
(cbrt.f64 (/.f64 (-.f64 z x) y)) |
(/.f64 (/.f64 (cbrt.f64 (-.f64 z x)) 1) (cbrt.f64 y)) |
(cbrt.f64 (/.f64 (-.f64 z x) y)) |
(/.f64 (/.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y))) |
(/.f64 (*.f64 (pow.f64 (-.f64 z x) 1/6) (/.f64 (pow.f64 (-.f64 z x) 1/6) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 (cbrt.f64 (-.f64 z x)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(pow.f64 (/.f64 (-.f64 z x) y) 1/3) |
(cbrt.f64 (/.f64 (-.f64 z x) y)) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 1) |
(cbrt.f64 (/.f64 (-.f64 z x) y)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 z x) y) 2) 1/6) |
(pow.f64 (pow.f64 (/.f64 (-.f64 z x) y) 3) 1/9) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 z x) y) 3) 1/18) (pow.f64 (pow.f64 (/.f64 (-.f64 z x) y) 3) 1/18)) |
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 2) 1/2) |
(cbrt.f64 (/.f64 (-.f64 z x) y)) |
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))) 3) |
(cbrt.f64 (/.f64 (-.f64 z x) y)) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 z x) y)) 2/3) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 z x) y)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (-.f64 z x) y)) 1/3)) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 z x) y))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 z x) y)))) |
(pow.f64 (pow.f64 (/.f64 (-.f64 z x) y) 1/6) 2) |
(cbrt.f64 (/.f64 (-.f64 z x) y)) |
(pow.f64 (/.f64 y (-.f64 z x)) -1/3) |
(*.f64 (pow.f64 (/.f64 y (-.f64 z x)) -1/6) (pow.f64 (/.f64 y (-.f64 z x)) -1/6)) |
(pow.f64 (cbrt.f64 (/.f64 y (-.f64 z x))) -1) |
(/.f64 1 (cbrt.f64 (/.f64 y (-.f64 z x)))) |
(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 z x))) -1) |
(cbrt.f64 (/.f64 (-.f64 z x) y)) |
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)) 2)) |
(cbrt.f64 (/.f64 (-.f64 z x) y)) |
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)))) |
(cbrt.f64 (/.f64 (-.f64 z x) y)) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))))) |
(cbrt.f64 (/.f64 (-.f64 z x) y)) |
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)))) |
(cbrt.f64 (/.f64 (-.f64 z x) y)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)))) |
(cbrt.f64 (/.f64 (-.f64 z x) y)) |
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 z x) y)))) |
(cbrt.f64 (/.f64 (-.f64 z x) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 z x) y)) 1/3)) |
(cbrt.f64 (/.f64 (-.f64 z x) y)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 z x) y))) 1)) |
(cbrt.f64 (/.f64 (-.f64 z x) y)) |
(+.f64 0 (cbrt.f64 (-.f64 z x))) |
(cbrt.f64 (-.f64 z x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 z x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 z x)))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 z x)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 z x)))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 z x)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 z x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 z x)))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 z x)))))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 z x)))) 1) |
(cbrt.f64 (-.f64 z x)) |
(*.f64 (cbrt.f64 (-.f64 z x)) 1) |
(cbrt.f64 (-.f64 z x)) |
(*.f64 1 (cbrt.f64 (-.f64 z x))) |
(cbrt.f64 (-.f64 z x)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2) (cbrt.f64 (cbrt.f64 (-.f64 z x)))) |
(cbrt.f64 (-.f64 z x)) |
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2)) |
(cbrt.f64 (-.f64 z x)) |
(*.f64 (pow.f64 (-.f64 z x) 1/6) (pow.f64 (-.f64 z x) 1/6)) |
(cbrt.f64 (-.f64 z x)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2))) |
(cbrt.f64 (-.f64 z x)) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 z x))) |
(cbrt.f64 (-.f64 z x)) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (cbrt.f64 (fma.f64 x (+.f64 z x) (*.f64 z z)))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (cbrt.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)))) |
(/.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 x x))) (cbrt.f64 (+.f64 z x))) |
(/.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 x x))) (cbrt.f64 (+.f64 x z))) |
(/.f64 (cbrt.f64 (fma.f64 z z (*.f64 x (neg.f64 x)))) (cbrt.f64 (+.f64 x z))) |
(pow.f64 (-.f64 z x) 1/3) |
(cbrt.f64 (-.f64 z x)) |
(pow.f64 (cbrt.f64 (-.f64 z x)) 1) |
(cbrt.f64 (-.f64 z x)) |
(pow.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)) 1/2) |
(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2))) |
(pow.f64 (pow.f64 (-.f64 z x) 2) 1/6) |
(pow.f64 (pow.f64 (-.f64 z x) 3) 1/9) |
(*.f64 (pow.f64 (pow.f64 (-.f64 z x) 3) 1/18) (pow.f64 (pow.f64 (-.f64 z x) 3) 1/18)) |
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2) 3/2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 3) |
(cbrt.f64 (-.f64 z x)) |
(pow.f64 (pow.f64 (-.f64 z x) 1/6) 2) |
(cbrt.f64 (-.f64 z x)) |
(pow.f64 (sqrt.f64 (-.f64 z x)) 2/3) |
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 z x))) (cbrt.f64 (sqrt.f64 (-.f64 z x)))) |
(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2))) |
(fabs.f64 (cbrt.f64 (-.f64 z x))) |
(cbrt.f64 (-.f64 z x)) |
(log.f64 (exp.f64 (cbrt.f64 (-.f64 z x)))) |
(cbrt.f64 (-.f64 z x)) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 z x))))) |
(cbrt.f64 (-.f64 z x)) |
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 z x)))) |
(cbrt.f64 (-.f64 z x)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 z x)))) |
(cbrt.f64 (-.f64 z x)) |
(exp.f64 (log.f64 (cbrt.f64 (-.f64 z x)))) |
(cbrt.f64 (-.f64 z x)) |
(exp.f64 (*.f64 (log.f64 (-.f64 z x)) 1/3)) |
(cbrt.f64 (-.f64 z x)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 z x))) 1)) |
(cbrt.f64 (-.f64 z x)) |
(+.f64 0 (cbrt.f64 y)) |
(cbrt.f64 y) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 y))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 y))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 y))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 y))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 y))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 y))))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1) |
(cbrt.f64 y) |
(*.f64 (cbrt.f64 y) 1) |
(cbrt.f64 y) |
(*.f64 1 (cbrt.f64 y)) |
(cbrt.f64 y) |
(*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (cbrt.f64 y))) |
(*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (pow.f64 y 1/6) (pow.f64 y 1/6)) |
(cbrt.f64 y) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 y)) |
(cbrt.f64 y) |
(pow.f64 y 1/3) |
(cbrt.f64 y) |
(pow.f64 (cbrt.f64 y) 1) |
(cbrt.f64 y) |
(pow.f64 (*.f64 y y) 1/6) |
(pow.f64 (pow.f64 y 3) 1/9) |
(*.f64 (pow.f64 (pow.f64 y 3) 1/18) (pow.f64 (pow.f64 y 3) 1/18)) |
(pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2) |
(cbrt.f64 y) |
(pow.f64 (cbrt.f64 (cbrt.f64 y)) 3) |
(cbrt.f64 y) |
(pow.f64 (sqrt.f64 y) 2/3) |
(*.f64 (pow.f64 (sqrt.f64 y) 1/3) (pow.f64 (sqrt.f64 y) 1/3)) |
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))) |
(pow.f64 (pow.f64 y 1/6) 2) |
(cbrt.f64 y) |
(sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) |
(cbrt.f64 y) |
(log.f64 (exp.f64 (cbrt.f64 y))) |
(cbrt.f64 y) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 y)))) |
(cbrt.f64 y) |
(expm1.f64 (log1p.f64 (cbrt.f64 y))) |
(cbrt.f64 y) |
(log1p.f64 (expm1.f64 (cbrt.f64 y))) |
(cbrt.f64 y) |
(exp.f64 (log.f64 (cbrt.f64 y))) |
(cbrt.f64 y) |
(exp.f64 (*.f64 (log.f64 y) 1/3)) |
(cbrt.f64 y) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) 1)) |
(cbrt.f64 y) |
(+.f64 0 (cbrt.f64 (pow.f64 (-.f64 z x) 2))) |
(cbrt.f64 (pow.f64 (-.f64 z x) 2)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)))))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)))) 1) |
(cbrt.f64 (pow.f64 (-.f64 z x) 2)) |
(*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x))) |
(pow.f64 (cbrt.f64 (-.f64 z x)) 2) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)) 1) |
(cbrt.f64 (pow.f64 (-.f64 z x) 2)) |
(*.f64 1 (cbrt.f64 (pow.f64 (-.f64 z x) 2))) |
(cbrt.f64 (pow.f64 (-.f64 z x) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 4)) |
(*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x))) |
(pow.f64 (cbrt.f64 (-.f64 z x)) 2) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2)) |
(*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x))) |
(pow.f64 (cbrt.f64 (-.f64 z x)) 2) |
(*.f64 (pow.f64 (-.f64 z x) 1/6) (sqrt.f64 (-.f64 z x))) |
(*.f64 (sqrt.f64 (-.f64 z x)) (pow.f64 (-.f64 z x) 1/6)) |
(*.f64 (pow.f64 (-.f64 z x) 1/6) (sqrt.f64 (-.f64 z x))) |
(*.f64 (*.f64 (cbrt.f64 (-.f64 z x)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 z x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 z x)))) |
(*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x))) |
(pow.f64 (cbrt.f64 (-.f64 z x)) 2) |
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 4)) |
(*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x))) |
(pow.f64 (cbrt.f64 (-.f64 z x)) 2) |
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)))) |
(cbrt.f64 (pow.f64 (-.f64 z x) 2)) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2))))) |
(cbrt.f64 (pow.f64 (-.f64 z x) 2)) |
(cbrt.f64 (pow.f64 (-.f64 z x) 2)) |
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)))) |
(cbrt.f64 (pow.f64 (-.f64 z x) 2)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (-.f64 z x) 2)))) |
(cbrt.f64 (pow.f64 (-.f64 z x) 2)) |
(exp.f64 (*.f64 2/3 (log.f64 (-.f64 z x)))) |
(*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x))) |
(pow.f64 (cbrt.f64 (-.f64 z x)) 2) |
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (-.f64 z x))) 1)) |
(*.f64 (cbrt.f64 (-.f64 z x)) (cbrt.f64 (-.f64 z x))) |
(pow.f64 (cbrt.f64 (-.f64 z x)) 2) |
Compiled 8 to 6 computations (25% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 6.9b | (/.f64 (*.f64 x x) (*.f64 y 2)) |
Compiled 19 to 10 computations (47.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 x x) (*.f64 y 2)) |
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 x x) (*.f64 y 2)) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 x x) (*.f64 y 2)) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 x x) (*.f64 y 2)) |
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 x x) (*.f64 y 2)) |
| 1× | batch-egg-rewrite |
| 825× | pow1_binary64 |
| 769× | add-log-exp_binary64 |
| 769× | log1p-expm1-u_binary64 |
| 769× | expm1-log1p-u_binary64 |
| 751× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 151 | 10 |
| 2 | 2076 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x x) (*.f64 y 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 2 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 2) (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (*.f64 y 2))) (/.f64 x (sqrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 x x)) (/.f64 1 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 x x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 y 2))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (*.f64 y 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (*.f64 y 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 y (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x 4) (*.f64 4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 y 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))))))) |
| 1× | egg-herbie |
| 736× | log-prod_binary64 |
| 674× | log-div_binary64 |
| 580× | times-frac_binary64 |
| 469× | associate-*l/_binary64 |
| 465× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 761 |
| 1 | 304 | 761 |
| 2 | 1102 | 761 |
| 3 | 6060 | 761 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 1) |
(*.f64 x (/.f64 1 (*.f64 2 (/.f64 y x)))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 (*.f64 x x) (/.f64 1/2 y)) |
(*.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 1) |
(*.f64 1 (*.f64 (*.f64 x x) (/.f64 1/2 y))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1/2 y))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 2) (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))) |
(*.f64 (/.f64 x (sqrt.f64 (*.f64 y 2))) (/.f64 x (sqrt.f64 (*.f64 y 2)))) |
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 1 (*.f64 y -2))) |
(*.f64 (/.f64 x y) (*.f64 x 1/2)) |
(*.f64 (*.f64 x 1/2) (/.f64 x y)) |
(*.f64 (/.f64 1/2 y) (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 x x) y) 1/2) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 x 1) (/.f64 x (*.f64 y 2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 y 2))) |
(*.f64 (/.f64 1 y) (/.f64 (*.f64 x x) 2)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 2)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) y)) |
(*.f64 (/.f64 x (*.f64 y 2)) x) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 y 2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 y 2))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 y 2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (*.f64 y 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 y 2)))) |
(pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 1) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 3) |
(pow.f64 (/.f64 x (sqrt.f64 (*.f64 y 2))) 2) |
(pow.f64 (*.f64 2 (/.f64 y (*.f64 x x))) -1) |
(neg.f64 (/.f64 (*.f64 x x) (*.f64 y -2))) |
(sqrt.f64 (/.f64 (pow.f64 x 4) (*.f64 4 (*.f64 y y)))) |
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x x) y)))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 y 2) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))) |
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 1) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (/.f64 1 (*.f64 2 (/.f64 y x)))) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 (*.f64 x x) (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 1) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1 (*.f64 (*.f64 x x) (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1/2 y))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) y)) |
(*.f64 (/.f64 1/2 y) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 2)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 2) (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 (/.f64 x (sqrt.f64 (*.f64 y 2))) (/.f64 x (sqrt.f64 (*.f64 y 2)))) |
(pow.f64 (/.f64 x (sqrt.f64 (*.f64 2 y))) 2) |
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 1 (*.f64 y -2))) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/2)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 (*.f64 x 1/2) (/.f64 x y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 (/.f64 1/2 y) (*.f64 x x)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 (/.f64 (*.f64 x x) y) 1/2) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 (/.f64 x 1) (/.f64 x (*.f64 y 2))) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 y 2))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 2 y))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 2) y)) |
(*.f64 (/.f64 1 y) (/.f64 (*.f64 x x) 2)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 2)) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 2 y))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 2) y)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) y)) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 2 y))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 2) y)) |
(*.f64 (/.f64 x (*.f64 y 2)) x) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 2)))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 2 y)) 2)) (/.f64 x (cbrt.f64 (*.f64 2 y)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 y 2)))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 2 y)) 2)) (/.f64 x (cbrt.f64 (*.f64 2 y)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))) |
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x (/.f64 y x)))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (*.f64 2 y)) 2))) |
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (*.f64 x x) y))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (*.f64 2 y)) 2))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 1/2 (*.f64 x (/.f64 x y))))) (pow.f64 (cbrt.f64 (*.f64 2 y)) 2)) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 y 2))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 y 2)))) |
(pow.f64 (/.f64 x (sqrt.f64 (*.f64 2 y))) 2) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (*.f64 y 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 y 2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (*.f64 2 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 2 y)))) |
(pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 1) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 3) 1/3) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 3) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(pow.f64 (/.f64 x (sqrt.f64 (*.f64 y 2))) 2) |
(pow.f64 (/.f64 x (sqrt.f64 (*.f64 2 y))) 2) |
(pow.f64 (*.f64 2 (/.f64 y (*.f64 x x))) -1) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(neg.f64 (/.f64 (*.f64 x x) (*.f64 y -2))) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(sqrt.f64 (/.f64 (pow.f64 x 4) (*.f64 4 (*.f64 y y)))) |
(sqrt.f64 (*.f64 1/4 (/.f64 (pow.f64 x 4) (*.f64 y y)))) |
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x x) y)))) |
(log.f64 (sqrt.f64 (exp.f64 (/.f64 x (/.f64 y x))))) |
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 3)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 y 2) 3))) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 6.9b | (/.f64 (*.f64 x (neg.f64 x)) y) |
Compiled 36 to 10 computations (72.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/.f64 (*.f64 x (neg.f64 x)) y) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 x (neg.f64 x)) y) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 x (neg.f64 x)) y) |
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 x (neg.f64 x)) y) |
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 x (neg.f64 x)) y) |
| 1× | batch-egg-rewrite |
| 568× | pow1_binary64 |
| 526× | add-log-exp_binary64 |
| 525× | log1p-expm1-u_binary64 |
| 525× | expm1-log1p-u_binary64 |
| 514× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 130 | 7 |
| 2 | 1982 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (neg.f64 x)) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 x y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) 2) (cbrt.f64 (*.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 x x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) x))))))) |
| 1× | egg-herbie |
| 397× | log-prod_binary64 |
| 333× | unswap-sqr_binary64 |
| 324× | fma-def_binary64 |
| 272× | log-div_binary64 |
| 261× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 669 |
| 1 | 213 | 579 |
| 2 | 775 | 492 |
| 3 | 3416 | 492 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(-.f64 (+.f64 1 (*.f64 (/.f64 x y) x)) 1) |
(*.f64 x (/.f64 1 (/.f64 y x))) |
(*.f64 x (*.f64 x (pow.f64 y -1))) |
(*.f64 (*.f64 (/.f64 x y) x) 1) |
(*.f64 1 (*.f64 (/.f64 x y) x)) |
(*.f64 (*.f64 x x) (pow.f64 y -1)) |
(*.f64 (*.f64 x x) (/.f64 1 (neg.f64 y))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) 2) (cbrt.f64 (*.f64 (/.f64 x y) x))) |
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 y -1))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (pow.f64 y -1) (*.f64 x x)) |
(*.f64 (/.f64 x 1) (/.f64 x y)) |
(*.f64 (/.f64 x y) x) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) y)) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x x) (cbrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 x y) x))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 x x) (sqrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))) |
(pow.f64 (*.f64 (/.f64 x y) x) 1) |
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) x) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) 3) |
(pow.f64 (/.f64 x (sqrt.f64 y)) 2) |
(pow.f64 (/.f64 (/.f64 y x) x) -1) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) x) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 x y) x))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) x))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) x))) |
(exp.f64 (log.f64 (*.f64 (/.f64 x y) x))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(-.f64 (+.f64 1 (*.f64 (/.f64 x y) x)) 1) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 1 (/.f64 y x))) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (*.f64 x (pow.f64 y -1))) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 x y) x) 1) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(*.f64 1 (*.f64 (/.f64 x y) x)) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(*.f64 (*.f64 x x) (pow.f64 y -1)) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(*.f64 (*.f64 x x) (/.f64 1 (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) 2)) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) 2) (cbrt.f64 (*.f64 (/.f64 x y) x))) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 y -1))) |
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) y)) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(*.f64 (pow.f64 y -1) (*.f64 x x)) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(*.f64 (/.f64 x 1) (/.f64 x y)) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(*.f64 (/.f64 x y) x) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) y)) |
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) y)) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y))) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x x) (cbrt.f64 y))) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 x y) x))) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (/.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (cbrt.f64 (/.f64 x (/.f64 y x))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 x x) (sqrt.f64 y))) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y))) |
(*.f64 (cbrt.f64 (*.f64 x (pow.f64 x 3))) (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) y)) |
(pow.f64 (*.f64 (/.f64 x y) x) 1) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) x) 3) 1/3) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) 3) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(pow.f64 (/.f64 x (sqrt.f64 y)) 2) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(pow.f64 (/.f64 (/.f64 y x) x) -1) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(neg.f64 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) x) 2)) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(log.f64 (exp.f64 (*.f64 (/.f64 x y) x))) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) x) 3)) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) x))) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) x))) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(exp.f64 (log.f64 (*.f64 (/.f64 x y) x))) |
(+.f64 1 (-.f64 (*.f64 x (/.f64 x y)) 1)) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (-.f64 (*.f64 x x) (*.f64 z z)) |
| ✓ | 12.5b | (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y 2)) |
Compiled 34 to 12 computations (64.7% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y 2)) |
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y 2)) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y 2)) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y 2)) |
| 1.0ms | z | @ | inf | (/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y 2)) |
| 1× | batch-egg-rewrite |
| 620× | log-prod_binary64 |
| 414× | fma-def_binary64 |
| 359× | pow-prod-down_binary64 |
| 300× | pow2_binary64 |
| 207× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 229 | 26 |
| 2 | 3433 | 26 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y 2)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 525× | unswap-sqr_binary64 |
| 322× | fma-neg_binary64 |
| 311× | cancel-sign-sub-inv_binary64 |
| 247× | log-prod_binary64 |
| 174× | cube-prod_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 456 | 4420 |
| 1 | 1119 | 4194 |
| 2 | 3986 | 4125 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
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(log.f64 (*.f64 (exp.f64 (*.f64 z (neg.f64 z))) (+.f64 1 (expm1.f64 (*.f64 x x))))) |
(log.f64 (*.f64 (pow.f64 (exp.f64 z) (neg.f64 z)) (+.f64 1 (expm1.f64 (*.f64 x x))))) |
(log.f64 (*.f64 (exp.f64 (fma.f64 z (neg.f64 z) (*.f64 z z))) (pow.f64 (exp.f64 (+.f64 x z)) (-.f64 x z)))) |
(log.f64 (*.f64 (exp.f64 (fma.f64 z (neg.f64 z) (*.f64 z z))) (+.f64 1 (expm1.f64 (-.f64 (*.f64 x x) (*.f64 z z)))))) |
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 z z)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) (*.f64 z z)))) |
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) (*.f64 z z)))) |
(exp.f64 (log.f64 (-.f64 (*.f64 x x) (*.f64 z z)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) (*.f64 z z))) 1)) |
(fma.f64 x x (*.f64 z (neg.f64 z))) |
(fma.f64 x x (*.f64 (*.f64 z (neg.f64 z)) 1)) |
(fma.f64 x x (fma.f64 z (neg.f64 z) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(fma.f64 x x (neg.f64 (-.f64 (*.f64 z z) (fma.f64 z (neg.f64 z) (*.f64 z z))))) |
(fma.f64 (*.f64 x x) 1 (*.f64 z (neg.f64 z))) |
(fma.f64 (*.f64 x x) 1 (*.f64 (*.f64 z (neg.f64 z)) 1)) |
(fma.f64 (*.f64 x x) 1 (fma.f64 z (neg.f64 z) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(fma.f64 (*.f64 x x) 1 (neg.f64 (-.f64 (*.f64 z z) (fma.f64 z (neg.f64 z) (*.f64 z z))))) |
(fma.f64 z (neg.f64 z) (*.f64 x x)) |
(fma.f64 (-.f64 (*.f64 x x) (*.f64 z z)) 1 (fma.f64 z (neg.f64 z) (*.f64 z z))) |
(fma.f64 (-.f64 (*.f64 x x) (*.f64 z z)) 1 (fma.f64 (*.f64 z (neg.f64 z)) 1 (*.f64 z z))) |
(fma.f64 (-.f64 (*.f64 x x) (*.f64 z z)) 1 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 z) z) (*.f64 z z))) |
(fma.f64 (-.f64 (*.f64 x x) (*.f64 z z)) 1 (*.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) 1)) |
(fma.f64 (-.f64 (*.f64 x x) (*.f64 z z)) 1 (+.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(fma.f64 1 (*.f64 x x) (*.f64 z (neg.f64 z))) |
(fma.f64 1 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 z)) 1)) |
(fma.f64 1 (*.f64 x x) (fma.f64 z (neg.f64 z) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(fma.f64 1 (*.f64 x x) (neg.f64 (-.f64 (*.f64 z z) (fma.f64 z (neg.f64 z) (*.f64 z z))))) |
(fma.f64 1 (-.f64 (*.f64 x x) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z))) |
(fma.f64 1 (-.f64 (*.f64 x x) (*.f64 z z)) (fma.f64 (*.f64 z (neg.f64 z)) 1 (*.f64 z z))) |
(fma.f64 1 (-.f64 (*.f64 x x) (*.f64 z z)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 z) z) (*.f64 z z))) |
(fma.f64 1 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) 1)) |
(fma.f64 1 (-.f64 (*.f64 x x) (*.f64 z z)) (+.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(fma.f64 1 (*.f64 z (neg.f64 z)) (*.f64 x x)) |
(fma.f64 1 (fma.f64 z (neg.f64 z) (*.f64 z z)) (-.f64 (*.f64 x x) (*.f64 z z))) |
(fma.f64 (*.f64 (cbrt.f64 z) z) (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (*.f64 x x)) |
(fma.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) 2) (fma.f64 z (neg.f64 z) (*.f64 z z))) |
(fma.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) 2) (fma.f64 (*.f64 z (neg.f64 z)) 1 (*.f64 z z))) |
(fma.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) 2) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 z) z) (*.f64 z z))) |
(fma.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) 2) (*.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) 1)) |
(fma.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) 2) (+.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 z (neg.f64 z) (*.f64 z z))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 (*.f64 z (neg.f64 z)) 1 (*.f64 z z))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 z) z) (*.f64 z z))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) (*.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) (+.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (*.f64 z (neg.f64 z))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (*.f64 (*.f64 z (neg.f64 z)) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (fma.f64 z (neg.f64 z) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (neg.f64 (-.f64 (*.f64 z z) (fma.f64 z (neg.f64 z) (*.f64 z z))))) |
(fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (*.f64 z (neg.f64 z))) |
(fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 z (neg.f64 z)) 1)) |
(fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 z (neg.f64 z) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (*.f64 z z) (fma.f64 z (neg.f64 z) (*.f64 z z))))) |
(fma.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)) (*.f64 z (neg.f64 z))) |
(fma.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)) (*.f64 (*.f64 z (neg.f64 z)) 1)) |
(fma.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)) (fma.f64 z (neg.f64 z) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(fma.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)) (neg.f64 (-.f64 (*.f64 z z) (fma.f64 z (neg.f64 z) (*.f64 z z))))) |
(fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 z (neg.f64 z)))) (hypot.f64 x (sqrt.f64 (*.f64 z (neg.f64 z)))) (fma.f64 z (neg.f64 z) (*.f64 z z))) |
(fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 z (neg.f64 z)))) (hypot.f64 x (sqrt.f64 (*.f64 z (neg.f64 z)))) (fma.f64 (*.f64 z (neg.f64 z)) 1 (*.f64 z z))) |
(fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 z (neg.f64 z)))) (hypot.f64 x (sqrt.f64 (*.f64 z (neg.f64 z)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 z) z) (*.f64 z z))) |
(fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 z (neg.f64 z)))) (hypot.f64 x (sqrt.f64 (*.f64 z (neg.f64 z)))) (*.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) 1)) |
(fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 z (neg.f64 z)))) (hypot.f64 x (sqrt.f64 (*.f64 z (neg.f64 z)))) (+.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 z 6)) (/.f64 1 (fma.f64 (*.f64 z z) (pow.f64 (hypot.f64 x z) 2) (pow.f64 x 4))) (fma.f64 z (neg.f64 z) (*.f64 z z))) |
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 z 6)) (/.f64 1 (fma.f64 (*.f64 z z) (pow.f64 (hypot.f64 x z) 2) (pow.f64 x 4))) (fma.f64 (*.f64 z (neg.f64 z)) 1 (*.f64 z z))) |
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 z 6)) (/.f64 1 (fma.f64 (*.f64 z z) (pow.f64 (hypot.f64 x z) 2) (pow.f64 x 4))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 z) z) (*.f64 z z))) |
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 z 6)) (/.f64 1 (fma.f64 (*.f64 z z) (pow.f64 (hypot.f64 x z) 2) (pow.f64 x 4))) (*.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) 1)) |
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 z 6)) (/.f64 1 (fma.f64 (*.f64 z z) (pow.f64 (hypot.f64 x z) 2) (pow.f64 x 4))) (+.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 z 4)) (/.f64 1 (pow.f64 (hypot.f64 x z) 2)) (fma.f64 z (neg.f64 z) (*.f64 z z))) |
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 z 4)) (/.f64 1 (pow.f64 (hypot.f64 x z) 2)) (fma.f64 (*.f64 z (neg.f64 z)) 1 (*.f64 z z))) |
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 z 4)) (/.f64 1 (pow.f64 (hypot.f64 x z) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 z) z) (*.f64 z z))) |
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 z 4)) (/.f64 1 (pow.f64 (hypot.f64 x z) 2)) (*.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) 1)) |
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 z 4)) (/.f64 1 (pow.f64 (hypot.f64 x z) 2)) (+.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(fma.f64 (+.f64 x z) (-.f64 x z) (fma.f64 z (neg.f64 z) (*.f64 z z))) |
(fma.f64 (+.f64 x z) (-.f64 x z) (fma.f64 (*.f64 z (neg.f64 z)) 1 (*.f64 z z))) |
(fma.f64 (+.f64 x z) (-.f64 x z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 z) z) (*.f64 z z))) |
(fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) 1)) |
(fma.f64 (+.f64 x z) (-.f64 x z) (+.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(fma.f64 (-.f64 x z) (+.f64 x z) (fma.f64 z (neg.f64 z) (*.f64 z z))) |
(fma.f64 (-.f64 x z) (+.f64 x z) (fma.f64 (*.f64 z (neg.f64 z)) 1 (*.f64 z z))) |
(fma.f64 (-.f64 x z) (+.f64 x z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 z) z) (*.f64 z z))) |
(fma.f64 (-.f64 x z) (+.f64 x z) (*.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) 1)) |
(fma.f64 (-.f64 x z) (+.f64 x z) (+.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (neg.f64 z))) |
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 z (neg.f64 z)) 1)) |
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 z (neg.f64 z) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 z z) (fma.f64 z (neg.f64 z) (*.f64 z z))))) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 z) (*.f64 z z))) 2) (cbrt.f64 (fma.f64 z (neg.f64 z) (*.f64 z z))) (-.f64 (*.f64 x x) (*.f64 z z))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (neg.f64 z))) 2) (cbrt.f64 (*.f64 z (neg.f64 z))) (*.f64 x x)) |
(fma.f64 (hypot.f64 (sqrt.f64 (*.f64 z (neg.f64 z))) z) (hypot.f64 (sqrt.f64 (*.f64 z (neg.f64 z))) z) (-.f64 (*.f64 x x) (*.f64 z z))) |
(fma.f64 (sqrt.f64 (*.f64 z (neg.f64 z))) (sqrt.f64 (*.f64 z (neg.f64 z))) (*.f64 x x)) |
(fma.f64 -1 (*.f64 z z) (*.f64 x x)) |
(fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) z)) (pow.f64 (cbrt.f64 z) 2) (*.f64 x x)) |
(fma.f64 (*.f64 (neg.f64 z) 1) z (*.f64 x x)) |
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x x)) |
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x x)) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 z (neg.f64 z))) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 z (neg.f64 z)) 1)) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 z (neg.f64 z) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 z z) (fma.f64 z (neg.f64 z) (*.f64 z z))))) |
| Outputs |
|---|
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (/.f64 x (/.f64 y x)))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (*.f64 (/.f64 x y) x))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (/.f64 (*.f64 x x) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (/.f64 x (/.f64 y x)))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (*.f64 (/.f64 x y) x))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (/.f64 (*.f64 x x) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (/.f64 x (/.f64 y x)))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (*.f64 (/.f64 x y) x))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (/.f64 (*.f64 x x) y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) x)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (/.f64 x (/.f64 y x)))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (*.f64 (/.f64 x y) x))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (/.f64 (*.f64 x x) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (/.f64 x (/.f64 y x)))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (*.f64 (/.f64 x y) x))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (/.f64 (*.f64 x x) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (/.f64 x (/.f64 y x)))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (*.f64 (/.f64 x y) x))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (/.f64 (*.f64 x x) y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 x y) x)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (/.f64 x (/.f64 y x)))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (*.f64 (/.f64 x y) x))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (/.f64 (*.f64 x x) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (/.f64 x (/.f64 y x)))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (*.f64 (/.f64 x y) x))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (/.f64 (*.f64 x x) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
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(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (-.f64 (*.f64 x x) (*.f64 z z)) 1 (+.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 1 (*.f64 x x) (*.f64 z (neg.f64 z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 1 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 z)) 1)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 1 (*.f64 x x) (fma.f64 z (neg.f64 z) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 1 (*.f64 x x) (neg.f64 (-.f64 (*.f64 z z) (fma.f64 z (neg.f64 z) (*.f64 z z))))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 1 (-.f64 (*.f64 x x) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 1 (-.f64 (*.f64 x x) (*.f64 z z)) (fma.f64 (*.f64 z (neg.f64 z)) 1 (*.f64 z z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 1 (-.f64 (*.f64 x x) (*.f64 z z)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 z) z) (*.f64 z z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 1 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) 1)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 1 (-.f64 (*.f64 x x) (*.f64 z z)) (+.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 1 (*.f64 z (neg.f64 z)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 1 (fma.f64 z (neg.f64 z) (*.f64 z z)) (-.f64 (*.f64 x x) (*.f64 z z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (*.f64 (cbrt.f64 z) z) (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) 2) (fma.f64 z (neg.f64 z) (*.f64 z z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) 2) (fma.f64 (*.f64 z (neg.f64 z)) 1 (*.f64 z z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) 2) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 z) z) (*.f64 z z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) 2) (*.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) 1)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) 2) (+.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 z (neg.f64 z) (*.f64 z z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 (*.f64 z (neg.f64 z)) 1 (*.f64 z z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 z) z) (*.f64 z z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) (*.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) 1)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 z z))) (+.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (*.f64 z (neg.f64 z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (*.f64 (*.f64 z (neg.f64 z)) 1)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (fma.f64 z (neg.f64 z) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (neg.f64 (-.f64 (*.f64 z z) (fma.f64 z (neg.f64 z) (*.f64 z z))))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (*.f64 z (neg.f64 z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 z (neg.f64 z)) 1)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 z (neg.f64 z) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (*.f64 z z) (fma.f64 z (neg.f64 z) (*.f64 z z))))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)) (*.f64 z (neg.f64 z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)) (*.f64 (*.f64 z (neg.f64 z)) 1)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)) (fma.f64 z (neg.f64 z) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)) (neg.f64 (-.f64 (*.f64 z z) (fma.f64 z (neg.f64 z) (*.f64 z z))))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 z (neg.f64 z)))) (hypot.f64 x (sqrt.f64 (*.f64 z (neg.f64 z)))) (fma.f64 z (neg.f64 z) (*.f64 z z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 z (neg.f64 z)))) (hypot.f64 x (sqrt.f64 (*.f64 z (neg.f64 z)))) (fma.f64 (*.f64 z (neg.f64 z)) 1 (*.f64 z z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 z (neg.f64 z)))) (hypot.f64 x (sqrt.f64 (*.f64 z (neg.f64 z)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 z) z) (*.f64 z z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 z (neg.f64 z)))) (hypot.f64 x (sqrt.f64 (*.f64 z (neg.f64 z)))) (*.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) 1)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 z (neg.f64 z)))) (hypot.f64 x (sqrt.f64 (*.f64 z (neg.f64 z)))) (+.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (neg.f64 z) z (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 z 6)) (/.f64 1 (fma.f64 (*.f64 z z) (pow.f64 (hypot.f64 x z) 2) (pow.f64 x 4))) (fma.f64 z (neg.f64 z) (*.f64 z z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 z 6)) 1) (fma.f64 (*.f64 z z) (pow.f64 (hypot.f64 x z) 2) (pow.f64 x 4))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 z 6)) (fma.f64 (*.f64 z z) (pow.f64 (hypot.f64 x z) 2) (pow.f64 x 4))) |
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 z 6)) (/.f64 1 (fma.f64 (*.f64 z z) (pow.f64 (hypot.f64 x z) 2) (pow.f64 x 4))) (fma.f64 (*.f64 z (neg.f64 z)) 1 (*.f64 z z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 z 6)) 1) (fma.f64 (*.f64 z z) (pow.f64 (hypot.f64 x z) 2) (pow.f64 x 4))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 z 6)) (fma.f64 (*.f64 z z) (pow.f64 (hypot.f64 x z) 2) (pow.f64 x 4))) |
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 z 6)) (/.f64 1 (fma.f64 (*.f64 z z) (pow.f64 (hypot.f64 x z) 2) (pow.f64 x 4))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 z) z) (*.f64 z z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 z 6)) 1) (fma.f64 (*.f64 z z) (pow.f64 (hypot.f64 x z) 2) (pow.f64 x 4))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 z 6)) (fma.f64 (*.f64 z z) (pow.f64 (hypot.f64 x z) 2) (pow.f64 x 4))) |
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 z 6)) (/.f64 1 (fma.f64 (*.f64 z z) (pow.f64 (hypot.f64 x z) 2) (pow.f64 x 4))) (*.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) 1)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 z 6)) 1) (fma.f64 (*.f64 z z) (pow.f64 (hypot.f64 x z) 2) (pow.f64 x 4))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 z 6)) (fma.f64 (*.f64 z z) (pow.f64 (hypot.f64 x z) 2) (pow.f64 x 4))) |
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 z 6)) (/.f64 1 (fma.f64 (*.f64 z z) (pow.f64 (hypot.f64 x z) 2) (pow.f64 x 4))) (+.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 z 6)) 1) (fma.f64 (*.f64 z z) (pow.f64 (hypot.f64 x z) 2) (pow.f64 x 4))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 z 6)) (fma.f64 (*.f64 z z) (pow.f64 (hypot.f64 x z) 2) (pow.f64 x 4))) |
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 z 4)) (/.f64 1 (pow.f64 (hypot.f64 x z) 2)) (fma.f64 z (neg.f64 z) (*.f64 z z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 z 4)) 1) (pow.f64 (hypot.f64 x z) 2)) |
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 z 4)) (pow.f64 (hypot.f64 x z) 2)) |
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 z 4)) (/.f64 1 (pow.f64 (hypot.f64 x z) 2)) (fma.f64 (*.f64 z (neg.f64 z)) 1 (*.f64 z z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 z 4)) 1) (pow.f64 (hypot.f64 x z) 2)) |
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 z 4)) (pow.f64 (hypot.f64 x z) 2)) |
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 z 4)) (/.f64 1 (pow.f64 (hypot.f64 x z) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 z) z) (*.f64 z z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 z 4)) 1) (pow.f64 (hypot.f64 x z) 2)) |
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 z 4)) (pow.f64 (hypot.f64 x z) 2)) |
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 z 4)) (/.f64 1 (pow.f64 (hypot.f64 x z) 2)) (*.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) 1)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 z 4)) 1) (pow.f64 (hypot.f64 x z) 2)) |
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 z 4)) (pow.f64 (hypot.f64 x z) 2)) |
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 z 4)) (/.f64 1 (pow.f64 (hypot.f64 x z) 2)) (+.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 z 4)) 1) (pow.f64 (hypot.f64 x z) 2)) |
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 z 4)) (pow.f64 (hypot.f64 x z) 2)) |
(fma.f64 (+.f64 x z) (-.f64 x z) (fma.f64 z (neg.f64 z) (*.f64 z z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (+.f64 x z) (-.f64 x z) (fma.f64 (*.f64 z (neg.f64 z)) 1 (*.f64 z z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (+.f64 x z) (-.f64 x z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 z) z) (*.f64 z z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (+.f64 x z) (-.f64 x z) (*.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) 1)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (+.f64 x z) (-.f64 x z) (+.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (-.f64 x z) (+.f64 x z) (fma.f64 z (neg.f64 z) (*.f64 z z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (-.f64 x z) (+.f64 x z) (fma.f64 (*.f64 z (neg.f64 z)) 1 (*.f64 z z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (-.f64 x z) (+.f64 x z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 z) z) (*.f64 z z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (-.f64 x z) (+.f64 x z) (*.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) 1)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (-.f64 x z) (+.f64 x z) (+.f64 (fma.f64 z (neg.f64 z) (*.f64 z z)) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (neg.f64 z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 z (neg.f64 z)) 1)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 z (neg.f64 z) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 z z) (fma.f64 z (neg.f64 z) (*.f64 z z))))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (neg.f64 z) (*.f64 z z))) 2) (cbrt.f64 (fma.f64 z (neg.f64 z) (*.f64 z z))) (-.f64 (*.f64 x x) (*.f64 z z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (neg.f64 z))) 2) (cbrt.f64 (*.f64 z (neg.f64 z))) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (hypot.f64 (sqrt.f64 (*.f64 z (neg.f64 z))) z) (hypot.f64 (sqrt.f64 (*.f64 z (neg.f64 z))) z) (-.f64 (*.f64 x x) (*.f64 z z))) |
(fma.f64 (sqrt.f64 (*.f64 z (neg.f64 z))) (sqrt.f64 (*.f64 z (neg.f64 z))) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 -1 (*.f64 z z) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (neg.f64 (*.f64 (cbrt.f64 z) z)) (pow.f64 (cbrt.f64 z) 2) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (*.f64 (neg.f64 z) 1) z (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 z (neg.f64 z))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 z (neg.f64 z)) 1)) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 z (neg.f64 z) (fma.f64 z (neg.f64 z) (*.f64 z z)))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 z z) (fma.f64 z (neg.f64 z) (*.f64 z z))))) |
(-.f64 (*.f64 x x) (*.f64 z z)) |
Compiled 18061 to 8989 computations (50.2% saved)
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 632 | 6 | 638 |
| Fresh | 4 | 4 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 2 | 4 |
| Total | 639 | 12 | 651 |
| Status | Error | Program |
|---|---|---|
| ▶ | 48.2b | (/.f64 (*.f64 y y) (*.f64 y 2)) |
| ✓ | 47.8b | (/.f64 (*.f64 x x) (*.f64 y 2)) |
| 56.0b | (/.f64 -1/2 (/.f64 y (*.f64 z z))) | |
| 50.9b | (*.f64 (/.f64 (+.f64 z x) (sqrt.f64 (+.f64 y y))) (/.f64 (-.f64 x z) (sqrt.f64 (+.f64 y y)))) | |
| ▶ | 36.2b | (*.f64 (/.f64 (+.f64 x z) 2) (/.f64 (-.f64 x z) y)) |
| ▶ | 53.3b | (*.f64 (/.f64 z (/.f64 y z)) -1/2) |
| 45.6b | (*.f64 (/.f64 x (*.f64 y 2)) x) | |
| ▶ | 45.6b | (*.f64 1/2 (/.f64 x (/.f64 y x))) |
| ✓ | 27.0b | (*.f64 1/2 y) |
| 16.8b | (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) | |
| 11.6b | (*.f64 -1/2 (-.f64 (/.f64 1 (/.f64 y (-.f64 (*.f64 z z) (*.f64 x x)))) y)) | |
| ▶ | 10.4b | (*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) |
Compiled 270 to 178 computations (34.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 x y) (neg.f64 x)) |
Compiled 35 to 10 computations (71.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 x y) (neg.f64 x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 x y) (neg.f64 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 x y) (neg.f64 x)) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 x y) (neg.f64 x)) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 x y) (neg.f64 x)) |
| 1× | batch-egg-rewrite |
| 581× | pow1_binary64 |
| 537× | add-log-exp_binary64 |
| 536× | log1p-expm1-u_binary64 |
| 536× | expm1-log1p-u_binary64 |
| 525× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 130 | 7 |
| 2 | 1863 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x y) (neg.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 x y)))))))) |
| 1× | egg-herbie |
| 723× | log-prod_binary64 |
| 579× | distribute-rgt-in_binary64 |
| 565× | distribute-lft-in_binary64 |
| 392× | associate-*l*_binary64 |
| 351× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 464 |
| 1 | 133 | 413 |
| 2 | 479 | 362 |
| 3 | 3381 | 362 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(-.f64 0 (*.f64 x (/.f64 x y))) |
(-.f64 (+.f64 1 (*.f64 x (/.f64 x y))) 1) |
(/.f64 x (/.f64 y x)) |
(/.f64 1 (/.f64 y (*.f64 x x))) |
(/.f64 (*.f64 x x) y) |
(/.f64 (*.f64 x x) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 x x) 1) y) |
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 y)) (sqrt.f64 y)) |
(pow.f64 (*.f64 x (/.f64 x y)) 1) |
(pow.f64 (pow.f64 (*.f64 x (/.f64 x y)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 3) |
(pow.f64 (/.f64 x (sqrt.f64 y)) 2) |
(neg.f64 (*.f64 x (/.f64 x y))) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x y)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x y))) |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 x y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 x y)))) |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 x y)))) |
(exp.f64 (log.f64 (*.f64 x (/.f64 x y)))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(*.f64 -1 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(-.f64 0 (*.f64 x (/.f64 x y))) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(-.f64 (+.f64 1 (*.f64 x (/.f64 x y))) 1) |
(+.f64 (+.f64 (*.f64 x (/.f64 x y)) 1) -1) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 x (/.f64 y x)) |
(+.f64 (+.f64 (*.f64 x (/.f64 x y)) 1) -1) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 1 (/.f64 y (*.f64 x x))) |
(+.f64 (+.f64 (*.f64 x (/.f64 x y)) 1) -1) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 (*.f64 x x) y) |
(+.f64 (+.f64 (*.f64 x (/.f64 x y)) 1) -1) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 (*.f64 x x) (neg.f64 y)) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 x x) 1) y) |
(+.f64 (+.f64 (*.f64 x (/.f64 x y)) 1) -1) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(+.f64 (+.f64 (*.f64 x (/.f64 x y)) 1) -1) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 y)) (sqrt.f64 y)) |
(+.f64 (+.f64 (*.f64 x (/.f64 x y)) 1) -1) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(pow.f64 (*.f64 x (/.f64 x y)) 1) |
(+.f64 (+.f64 (*.f64 x (/.f64 x y)) 1) -1) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(pow.f64 (pow.f64 (*.f64 x (/.f64 x y)) 3) 1/3) |
(+.f64 (+.f64 (*.f64 x (/.f64 x y)) 1) -1) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) 3) |
(+.f64 (+.f64 (*.f64 x (/.f64 x y)) 1) -1) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(pow.f64 (/.f64 x (sqrt.f64 y)) 2) |
(+.f64 (+.f64 (*.f64 x (/.f64 x y)) 1) -1) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(neg.f64 (*.f64 x (/.f64 x y))) |
(*.f64 x (neg.f64 (/.f64 x y))) |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) (neg.f64 x)) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x y)) 2)) |
(+.f64 (+.f64 (*.f64 x (/.f64 x y)) 1) -1) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x y))) |
(+.f64 (+.f64 (*.f64 x (/.f64 x y)) 1) -1) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 x y)) 3)) |
(+.f64 (+.f64 (*.f64 x (/.f64 x y)) 1) -1) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 x y)))) |
(+.f64 (+.f64 (*.f64 x (/.f64 x y)) 1) -1) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 x y)))) |
(+.f64 (+.f64 (*.f64 x (/.f64 x y)) 1) -1) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
(exp.f64 (log.f64 (*.f64 x (/.f64 x y)))) |
(+.f64 (+.f64 (*.f64 x (/.f64 x y)) 1) -1) |
(+.f64 (*.f64 x (/.f64 x y)) 0) |
(*.f64 x (/.f64 x y)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 1/2 (/.f64 x (/.f64 y x))) |
| ✓ | 0.2b | (/.f64 x (/.f64 y x)) |
Compiled 21 to 8 computations (61.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 x (/.f64 y x)) |
| 0.0ms | y | @ | -inf | (*.f64 1/2 (/.f64 x (/.f64 y x))) |
| 0.0ms | x | @ | 0 | (/.f64 x (/.f64 y x)) |
| 0.0ms | y | @ | inf | (/.f64 x (/.f64 y x)) |
| 0.0ms | x | @ | -inf | (*.f64 1/2 (/.f64 x (/.f64 y x))) |
| 1× | batch-egg-rewrite |
| 834× | pow1_binary64 |
| 776× | add-log-exp_binary64 |
| 776× | log1p-expm1-u_binary64 |
| 776× | expm1-log1p-u_binary64 |
| 760× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 153 | 17 |
| 2 | 2101 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (/.f64 y x)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y x))) 2) (cbrt.f64 (/.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (/.f64 y x))) (sqrt.f64 (/.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 x (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 x (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (/.f64 y x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/2 (/.f64 y (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 y (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y x) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) y) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) 1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1/2) (/.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (neg.f64 x)) (/.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (/.f64 y (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/2 (/.f64 y (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/2 (/.f64 y (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/2 (/.f64 y (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1/2 (/.f64 y (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/2 (/.f64 y (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/2 (/.f64 y (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/2 (/.f64 y (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/2 (/.f64 y (*.f64 x x))))))))) |
| 1× | egg-herbie |
| 649× | times-frac_binary64 |
| 647× | log-div_binary64 |
| 547× | fma-neg_binary64 |
| 385× | associate-/r*_binary64 |
| 337× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 912 |
| 1 | 397 | 912 |
| 2 | 1411 | 912 |
| 3 | 6288 | 912 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(-.f64 (+.f64 1 (/.f64 x (/.f64 y x))) 1) |
(*.f64 x (/.f64 x y)) |
(*.f64 (/.f64 x (/.f64 y x)) 1) |
(*.f64 1 (/.f64 x (/.f64 y x))) |
(*.f64 (cbrt.f64 (/.f64 x (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y x))) 2) (cbrt.f64 (/.f64 x (/.f64 y x)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 x y))) |
(*.f64 (sqrt.f64 (/.f64 x (/.f64 y x))) (sqrt.f64 (/.f64 x (/.f64 y x)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x y))) |
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) x))) |
(*.f64 (/.f64 x y) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y x))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y x))) |
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 x))) |
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 x (cbrt.f64 (/.f64 y x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 x (/.f64 y x)))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 x (sqrt.f64 (/.f64 y x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y x)))) |
(*.f64 (/.f64 x 1) (/.f64 x y)) |
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 x)) |
(*.f64 (*.f64 (/.f64 x y) 1) x) |
(*.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 x)) (sqrt.f64 x)) |
(pow.f64 (/.f64 x (/.f64 y x)) 1) |
(pow.f64 (pow.f64 (/.f64 x (/.f64 y x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 y x))) 3) |
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 y x))) 2) |
(pow.f64 (/.f64 y (*.f64 x x)) -1) |
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) x))) |
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 y x)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x y))) |
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 y x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 y x)))) |
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 y x)))) |
(exp.f64 (log.f64 (/.f64 x (/.f64 y x)))) |
(-.f64 (+.f64 1 (/.f64 1/2 (/.f64 y (*.f64 x x)))) 1) |
(/.f64 1/2 (/.f64 y (*.f64 x x))) |
(/.f64 1 (/.f64 (/.f64 y x) (*.f64 x 1/2))) |
(/.f64 (*.f64 x 1/2) (/.f64 y x)) |
(/.f64 (neg.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 y) x)) |
(/.f64 (/.f64 (*.f64 x 1/2) y) (/.f64 1 x)) |
(/.f64 (/.f64 (*.f64 x 1/2) 1) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x))) |
(/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x))) |
(/.f64 (*.f64 (neg.f64 x) 1/2) (/.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 1/2 (neg.f64 x)) (/.f64 (neg.f64 y) x)) |
(pow.f64 (/.f64 1/2 (/.f64 y (*.f64 x x))) 1) |
(pow.f64 (pow.f64 (/.f64 1/2 (/.f64 y (*.f64 x x))) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 1/2 (/.f64 y (*.f64 x x)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 1/2 (/.f64 y (*.f64 x x)))) 2) |
(sqrt.f64 (pow.f64 (/.f64 1/2 (/.f64 y (*.f64 x x))) 2)) |
(log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x (/.f64 y x)))) |
(cbrt.f64 (pow.f64 (/.f64 1/2 (/.f64 y (*.f64 x x))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1/2 (/.f64 y (*.f64 x x))))) |
(log1p.f64 (expm1.f64 (/.f64 1/2 (/.f64 y (*.f64 x x))))) |
(exp.f64 (log.f64 (/.f64 1/2 (/.f64 y (*.f64 x x))))) |
| Outputs |
|---|
(/.f64 (pow.f64 x 2) y) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(*.f64 x (/.f64 x y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(-.f64 (+.f64 1 (/.f64 x (/.f64 y x))) 1) |
(*.f64 x (/.f64 x y)) |
(*.f64 x (/.f64 x y)) |
(*.f64 (/.f64 x (/.f64 y x)) 1) |
(*.f64 x (/.f64 x y)) |
(*.f64 1 (/.f64 x (/.f64 y x))) |
(*.f64 x (/.f64 x y)) |
(*.f64 (cbrt.f64 (/.f64 x (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y x))) 2)) |
(*.f64 x (/.f64 x y)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y x))) 2) (cbrt.f64 (/.f64 x (/.f64 y x)))) |
(*.f64 x (/.f64 x y)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 x y))) |
(*.f64 x (/.f64 x y)) |
(*.f64 (sqrt.f64 (/.f64 x (/.f64 y x))) (sqrt.f64 (/.f64 x (/.f64 y x)))) |
(*.f64 x (/.f64 x y)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x y))) |
(*.f64 x (/.f64 x y)) |
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) x))) |
(*.f64 x (/.f64 x y)) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y x))) |
(*.f64 x (/.f64 x y)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y x))) |
(*.f64 x (/.f64 x y)) |
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 x))) |
(*.f64 x (/.f64 x y)) |
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 x))) |
(*.f64 x (/.f64 x y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 x))) |
(*.f64 x (/.f64 x y)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 x (cbrt.f64 (/.f64 y x)))) |
(*.f64 x (/.f64 x y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 x (/.f64 y x)))) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 x y))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y x)))) |
(*.f64 x (/.f64 x y)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 x (sqrt.f64 (/.f64 y x)))) |
(*.f64 x (/.f64 x y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y x)))) |
(*.f64 x (/.f64 x y)) |
(*.f64 (/.f64 x 1) (/.f64 x y)) |
(*.f64 x (/.f64 x y)) |
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 x)) |
(*.f64 x (/.f64 x y)) |
(*.f64 (*.f64 (/.f64 x y) 1) x) |
(*.f64 x (/.f64 x y)) |
(*.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 x (/.f64 x y)) |
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 x (/.f64 x y)) |
(pow.f64 (/.f64 x (/.f64 y x)) 1) |
(*.f64 x (/.f64 x y)) |
(pow.f64 (pow.f64 (/.f64 x (/.f64 y x)) 3) 1/3) |
(*.f64 x (/.f64 x y)) |
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 y x))) 3) |
(*.f64 x (/.f64 x y)) |
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 y x))) 2) |
(*.f64 x (/.f64 x y)) |
(pow.f64 (/.f64 y (*.f64 x x)) -1) |
(*.f64 x (/.f64 x y)) |
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) x))) |
(*.f64 x (/.f64 x y)) |
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 y x)) 2)) |
(*.f64 x (/.f64 x y)) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x y))) |
(*.f64 x (/.f64 x y)) |
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 y x)) 3)) |
(*.f64 x (/.f64 x y)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y x) 3))) |
(*.f64 x (/.f64 x y)) |
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 y x)))) |
(*.f64 x (/.f64 x y)) |
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 y x)))) |
(*.f64 x (/.f64 x y)) |
(exp.f64 (log.f64 (/.f64 x (/.f64 y x)))) |
(*.f64 x (/.f64 x y)) |
(-.f64 (+.f64 1 (/.f64 1/2 (/.f64 y (*.f64 x x)))) 1) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 1/2 (/.f64 y (*.f64 x x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 1 (/.f64 (/.f64 y x) (*.f64 x 1/2))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 (*.f64 x 1/2) (/.f64 y x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 x 1/2)) (/.f64 (neg.f64 y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 (/.f64 (*.f64 x 1/2) y) (/.f64 1 x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 (/.f64 (*.f64 x 1/2) 1) (/.f64 y x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 (*.f64 (neg.f64 x) 1/2) (/.f64 (neg.f64 y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 (*.f64 1/2 (neg.f64 x)) (/.f64 (neg.f64 y) x)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(pow.f64 (/.f64 1/2 (/.f64 y (*.f64 x x))) 1) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(pow.f64 (pow.f64 (/.f64 1/2 (/.f64 y (*.f64 x x))) 3) 1/3) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(pow.f64 (cbrt.f64 (/.f64 1/2 (/.f64 y (*.f64 x x)))) 3) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(pow.f64 (sqrt.f64 (/.f64 1/2 (/.f64 y (*.f64 x x)))) 2) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(sqrt.f64 (pow.f64 (/.f64 1/2 (/.f64 y (*.f64 x x))) 2)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x (/.f64 y x)))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(cbrt.f64 (pow.f64 (/.f64 1/2 (/.f64 y (*.f64 x x))) 3)) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(expm1.f64 (log1p.f64 (/.f64 1/2 (/.f64 y (*.f64 x x))))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(log1p.f64 (expm1.f64 (/.f64 1/2 (/.f64 y (*.f64 x x))))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(exp.f64 (log.f64 (/.f64 1/2 (/.f64 y (*.f64 x x))))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/2)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (/.f64 z (/.f64 y z)) -1/2) |
| ✓ | 0.2b | (/.f64 z (/.f64 y z)) |
Compiled 21 to 8 computations (61.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (*.f64 (/.f64 z (/.f64 y z)) -1/2) |
| 1.0ms | z | @ | inf | (/.f64 z (/.f64 y z)) |
| 1.0ms | z | @ | 0 | (/.f64 z (/.f64 y z)) |
| 1.0ms | z | @ | inf | (*.f64 (/.f64 z (/.f64 y z)) -1/2) |
| 0.0ms | y | @ | inf | (/.f64 z (/.f64 y z)) |
| 1× | batch-egg-rewrite |
| 836× | pow1_binary64 |
| 778× | add-log-exp_binary64 |
| 778× | log1p-expm1-u_binary64 |
| 778× | expm1-log1p-u_binary64 |
| 762× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 153 | 17 |
| 2 | 2105 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 z (/.f64 y z)) |
(*.f64 (/.f64 z (/.f64 y z)) -1/2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 z (/.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 z (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 z (/.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 z (/.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 z (/.f64 y z))) 2) (cbrt.f64 (/.f64 z (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 z (/.f64 y z))) (sqrt.f64 (/.f64 z (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 1 (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 z (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (/.f64 (cbrt.f64 z) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 z (cbrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (/.f64 z (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y z))) (/.f64 z (sqrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y z))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (neg.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 z (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 z (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 z z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 z (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 z (/.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 z (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 z (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 z (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 z (/.f64 y z)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1/2 (/.f64 y (*.f64 z z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 (/.f64 y z) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 y (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y z) (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z -1/2) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z -1/2)) (/.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z -1/2) y) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z -1/2) 1) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z -1/2) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z -1/2) (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) -1/2) (/.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (neg.f64 z)) (/.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 z (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z))))))))) |
| 1× | egg-herbie |
| 663× | times-frac_binary64 |
| 608× | log-div_binary64 |
| 567× | fma-neg_binary64 |
| 388× | associate-/r*_binary64 |
| 337× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 922 |
| 1 | 401 | 922 |
| 2 | 1413 | 922 |
| 3 | 6229 | 922 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(-.f64 (+.f64 1 (/.f64 z (/.f64 y z))) 1) |
(*.f64 z (/.f64 z y)) |
(*.f64 (/.f64 z (/.f64 y z)) 1) |
(*.f64 1 (/.f64 z (/.f64 y z))) |
(*.f64 (cbrt.f64 (/.f64 z (/.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 z (/.f64 y z))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z (/.f64 y z))) 2) (cbrt.f64 (/.f64 z (/.f64 y z)))) |
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 z y))) |
(*.f64 (sqrt.f64 (/.f64 z (/.f64 y z))) (sqrt.f64 (/.f64 z (/.f64 y z)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 z y))) |
(*.f64 (neg.f64 z) (/.f64 1 (/.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 z y) z) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 y z))) |
(*.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (/.f64 y z))) |
(*.f64 (/.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) (/.f64 1 z))) |
(*.f64 (/.f64 z 1) (/.f64 z y)) |
(*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 z))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (/.f64 (cbrt.f64 z) (/.f64 1 z))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 z (cbrt.f64 (/.f64 y z)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (/.f64 z (/.f64 y z)))) |
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y z)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y z))) (/.f64 z (sqrt.f64 (/.f64 y z)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y z))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y z)))) |
(*.f64 (/.f64 z (neg.f64 y)) (neg.f64 z)) |
(*.f64 (*.f64 (/.f64 z y) 1) z) |
(*.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(*.f64 (*.f64 (/.f64 z y) (sqrt.f64 z)) (sqrt.f64 z)) |
(pow.f64 (/.f64 z (/.f64 y z)) 1) |
(pow.f64 (pow.f64 (/.f64 z (/.f64 y z)) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 z (/.f64 y z))) 3) |
(pow.f64 (sqrt.f64 (/.f64 z (/.f64 y z))) 2) |
(pow.f64 (/.f64 y (*.f64 z z)) -1) |
(neg.f64 (/.f64 z (/.f64 (neg.f64 y) z))) |
(sqrt.f64 (pow.f64 (/.f64 z (/.f64 y z)) 2)) |
(log.f64 (pow.f64 (exp.f64 z) (/.f64 z y))) |
(cbrt.f64 (pow.f64 (/.f64 z (/.f64 y z)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 y z) 3))) |
(expm1.f64 (log1p.f64 (/.f64 z (/.f64 y z)))) |
(log1p.f64 (expm1.f64 (/.f64 z (/.f64 y z)))) |
(exp.f64 (log.f64 (/.f64 z (/.f64 y z)))) |
(-.f64 (+.f64 1 (/.f64 -1/2 (/.f64 y (*.f64 z z)))) 1) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(/.f64 1 (/.f64 (/.f64 y z) (*.f64 z -1/2))) |
(/.f64 (*.f64 z -1/2) (/.f64 y z)) |
(/.f64 (neg.f64 (*.f64 z -1/2)) (/.f64 (neg.f64 y) z)) |
(/.f64 (/.f64 (*.f64 z -1/2) y) (/.f64 1 z)) |
(/.f64 (/.f64 (*.f64 z -1/2) 1) (/.f64 y z)) |
(/.f64 (/.f64 (*.f64 z -1/2) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (/.f64 y z))) |
(/.f64 (/.f64 (*.f64 z -1/2) (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) -1/2) (/.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 -1/2 (neg.f64 z)) (/.f64 (neg.f64 y) z)) |
(pow.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z))) 1) |
(pow.f64 (pow.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z))) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z)))) 2) |
(sqrt.f64 (pow.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z))) 2)) |
(log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 z (/.f64 y z)))) |
(cbrt.f64 (pow.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z))))) |
(log1p.f64 (expm1.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z))))) |
(exp.f64 (log.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z))))) |
| Outputs |
|---|
(/.f64 (pow.f64 z 2) y) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 z (/.f64 z y)) |
(/.f64 (pow.f64 z 2) y) |
(*.f64 z (/.f64 z y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(-.f64 (+.f64 1 (/.f64 z (/.f64 y z))) 1) |
(*.f64 z (/.f64 z y)) |
(*.f64 z (/.f64 z y)) |
(*.f64 (/.f64 z (/.f64 y z)) 1) |
(*.f64 z (/.f64 z y)) |
(*.f64 1 (/.f64 z (/.f64 y z))) |
(*.f64 z (/.f64 z y)) |
(*.f64 (cbrt.f64 (/.f64 z (/.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 z (/.f64 y z))) 2)) |
(*.f64 z (/.f64 z y)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z (/.f64 y z))) 2) (cbrt.f64 (/.f64 z (/.f64 y z)))) |
(*.f64 z (/.f64 z y)) |
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 z y))) |
(*.f64 z (/.f64 z y)) |
(*.f64 (sqrt.f64 (/.f64 z (/.f64 y z))) (sqrt.f64 (/.f64 z (/.f64 y z)))) |
(*.f64 z (/.f64 z y)) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 z y))) |
(*.f64 z (/.f64 z y)) |
(*.f64 (neg.f64 z) (/.f64 1 (/.f64 (neg.f64 y) z))) |
(*.f64 z (/.f64 z y)) |
(*.f64 (/.f64 z y) z) |
(*.f64 z (/.f64 z y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 y z))) |
(*.f64 z (/.f64 z y)) |
(*.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (/.f64 y z))) |
(*.f64 z (/.f64 z y)) |
(*.f64 (/.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) (/.f64 1 z))) |
(*.f64 z (/.f64 z y)) |
(*.f64 (/.f64 z 1) (/.f64 z y)) |
(*.f64 z (/.f64 z y)) |
(*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 z))) |
(*.f64 z (/.f64 z y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (/.f64 (cbrt.f64 z) (/.f64 1 z))) |
(*.f64 z (/.f64 z y)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 z (cbrt.f64 (/.f64 y z)))) |
(*.f64 z (/.f64 z y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (/.f64 z (/.f64 y z)))) |
(*.f64 (cbrt.f64 (*.f64 z (/.f64 z y))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y z)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (cbrt.f64 (*.f64 z (/.f64 z y))))) |
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y z)))) |
(*.f64 z (/.f64 z y)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y z))) (/.f64 z (sqrt.f64 (/.f64 y z)))) |
(*.f64 z (/.f64 z y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y z))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y z)))) |
(*.f64 z (/.f64 z y)) |
(*.f64 (/.f64 z (neg.f64 y)) (neg.f64 z)) |
(*.f64 z (/.f64 z y)) |
(*.f64 (*.f64 (/.f64 z y) 1) z) |
(*.f64 z (/.f64 z y)) |
(*.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) |
(*.f64 z (/.f64 z y)) |
(*.f64 (*.f64 (/.f64 z y) (sqrt.f64 z)) (sqrt.f64 z)) |
(*.f64 z (/.f64 z y)) |
(pow.f64 (/.f64 z (/.f64 y z)) 1) |
(*.f64 z (/.f64 z y)) |
(pow.f64 (pow.f64 (/.f64 z (/.f64 y z)) 3) 1/3) |
(*.f64 z (/.f64 z y)) |
(pow.f64 (cbrt.f64 (/.f64 z (/.f64 y z))) 3) |
(*.f64 z (/.f64 z y)) |
(pow.f64 (sqrt.f64 (/.f64 z (/.f64 y z))) 2) |
(*.f64 z (/.f64 z y)) |
(pow.f64 (/.f64 y (*.f64 z z)) -1) |
(*.f64 z (/.f64 z y)) |
(neg.f64 (/.f64 z (/.f64 (neg.f64 y) z))) |
(*.f64 z (/.f64 z y)) |
(sqrt.f64 (pow.f64 (/.f64 z (/.f64 y z)) 2)) |
(*.f64 z (/.f64 z y)) |
(log.f64 (pow.f64 (exp.f64 z) (/.f64 z y))) |
(*.f64 z (/.f64 z y)) |
(cbrt.f64 (pow.f64 (/.f64 z (/.f64 y z)) 3)) |
(*.f64 z (/.f64 z y)) |
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 y z) 3))) |
(*.f64 z (/.f64 z y)) |
(expm1.f64 (log1p.f64 (/.f64 z (/.f64 y z)))) |
(*.f64 z (/.f64 z y)) |
(log1p.f64 (expm1.f64 (/.f64 z (/.f64 y z)))) |
(*.f64 z (/.f64 z y)) |
(exp.f64 (log.f64 (/.f64 z (/.f64 y z)))) |
(*.f64 z (/.f64 z y)) |
(-.f64 (+.f64 1 (/.f64 -1/2 (/.f64 y (*.f64 z z)))) 1) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(/.f64 1 (/.f64 (/.f64 y z) (*.f64 z -1/2))) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(/.f64 (*.f64 z -1/2) (/.f64 y z)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(/.f64 (neg.f64 (*.f64 z -1/2)) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(/.f64 (/.f64 (*.f64 z -1/2) y) (/.f64 1 z)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(/.f64 (/.f64 (*.f64 z -1/2) 1) (/.f64 y z)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(/.f64 (/.f64 (*.f64 z -1/2) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (/.f64 y z))) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(/.f64 (/.f64 (*.f64 z -1/2) (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z))) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(/.f64 (*.f64 (neg.f64 z) -1/2) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(/.f64 (*.f64 -1/2 (neg.f64 z)) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(pow.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z))) 1) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(pow.f64 (pow.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z))) 3) 1/3) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(pow.f64 (cbrt.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z)))) 3) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(pow.f64 (sqrt.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z)))) 2) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(sqrt.f64 (pow.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z))) 2)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 z (/.f64 y z)))) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(cbrt.f64 (pow.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z))) 3)) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(expm1.f64 (log1p.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z))))) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(log1p.f64 (expm1.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z))))) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
(exp.f64 (log.f64 (/.f64 -1/2 (/.f64 y (*.f64 z z))))) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 -1/2 (*.f64 z (/.f64 z y))) |
(*.f64 z (/.f64 z (*.f64 2 y))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 27.9b | (/.f64 (*.f64 y y) (*.f64 y 2)) |
Compiled 18 to 10 computations (44.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 y y) (*.f64 y 2)) |
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 y y) (*.f64 y 2)) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 y y) (*.f64 y 2)) |
| 1× | batch-egg-rewrite |
| 661× | pow1_binary64 |
| 618× | add-log-exp_binary64 |
| 618× | log1p-expm1-u_binary64 |
| 618× | expm1-log1p-u_binary64 |
| 602× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 132 | 4 |
| 2 | 1841 | 4 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y y) (*.f64 y 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 y (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 y (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y y) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y 1/2)) (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2) (cbrt.f64 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 y 4)) (*.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y 1/2)) (sqrt.f64 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 y)) (/.f64 1 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (*.f64 y y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y 4)) y) (/.f64 (pow.f64 (cbrt.f64 y) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y 4)) 2) (/.f64 (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 y 2)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y 4)) 1) (/.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 y (cbrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 (*.f64 y y) (cbrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (cbrt.f64 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 y 2))) (/.f64 (*.f64 y y) (sqrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y 4)) (sqrt.f64 (*.f64 y 2))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y y) (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 y y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y y) 3) (pow.f64 (*.f64 y 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 1/2))))))) |
| 1× | egg-herbie |
| 553× | log-prod_binary64 |
| 505× | times-frac_binary64 |
| 459× | associate-*l*_binary64 |
| 425× | associate-*r*_binary64 |
| 309× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 305 |
| 1 | 255 | 305 |
| 2 | 865 | 305 |
| 3 | 4998 | 305 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(-.f64 (+.f64 1 (*.f64 y 1/2)) 1) |
(*.f64 y 1/2) |
(*.f64 y (/.f64 y (*.f64 y 2))) |
(*.f64 y (*.f64 y (/.f64 1/2 y))) |
(*.f64 (*.f64 y y) (/.f64 1/2 y)) |
(*.f64 (*.f64 y 1/2) 1) |
(*.f64 1 (*.f64 y 1/2)) |
(*.f64 (cbrt.f64 (*.f64 y 1/2)) (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2) (cbrt.f64 (*.f64 y 1/2))) |
(*.f64 (cbrt.f64 (pow.f64 y 4)) (*.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1/2 y))) |
(*.f64 (sqrt.f64 (*.f64 y 1/2)) (sqrt.f64 (*.f64 y 1/2))) |
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 1 (*.f64 y -2))) |
(*.f64 (/.f64 1/2 y) (*.f64 y y)) |
(*.f64 1/2 y) |
(*.f64 (/.f64 1 y) (/.f64 (*.f64 y y) 2)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y 4)) y) (/.f64 (pow.f64 (cbrt.f64 y) 2) 2)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y 4)) 2) (/.f64 (pow.f64 (cbrt.f64 y) 2) y)) |
(*.f64 (/.f64 y (*.f64 y 2)) y) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y 4)) 1) (/.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 y 2))) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 y (cbrt.f64 (*.f64 y 2)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 (*.f64 y y) (cbrt.f64 (*.f64 y 2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (cbrt.f64 (*.f64 y 1/2))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 y 2))) (/.f64 (*.f64 y y) (sqrt.f64 (*.f64 y 2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y 4)) (sqrt.f64 (*.f64 y 2))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 y 2)))) |
(pow.f64 (*.f64 y 1/2) 1) |
(pow.f64 (pow.f64 (*.f64 y 1/2) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 y 1/2)) 3) |
(pow.f64 (sqrt.f64 (*.f64 y 1/2)) 2) |
(pow.f64 (/.f64 2 y) -1) |
(neg.f64 (/.f64 (*.f64 y y) (*.f64 y -2))) |
(sqrt.f64 (/.f64 (*.f64 y y) 4)) |
(log.f64 (sqrt.f64 (exp.f64 y))) |
(cbrt.f64 (pow.f64 (*.f64 y 1/2) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y y) 3) (pow.f64 (*.f64 y 2) 3))) |
(expm1.f64 (log1p.f64 (*.f64 y 1/2))) |
(log1p.f64 (expm1.f64 (*.f64 y 1/2))) |
(exp.f64 (log.f64 (*.f64 y 1/2))) |
| Outputs |
|---|
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(-.f64 (+.f64 1 (*.f64 y 1/2)) 1) |
(*.f64 1/2 y) |
(*.f64 y 1/2) |
(*.f64 1/2 y) |
(*.f64 y (/.f64 y (*.f64 y 2))) |
(*.f64 1/2 y) |
(*.f64 y (*.f64 y (/.f64 1/2 y))) |
(*.f64 1/2 y) |
(*.f64 (*.f64 y y) (/.f64 1/2 y)) |
(*.f64 1/2 y) |
(*.f64 (*.f64 y 1/2) 1) |
(*.f64 1/2 y) |
(*.f64 1 (*.f64 y 1/2)) |
(*.f64 1/2 y) |
(*.f64 (cbrt.f64 (*.f64 y 1/2)) (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2)) |
(*.f64 1/2 y) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2) (cbrt.f64 (*.f64 y 1/2))) |
(*.f64 1/2 y) |
(*.f64 (cbrt.f64 (pow.f64 y 4)) (*.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1/2 y))) |
(*.f64 (cbrt.f64 (pow.f64 y 4)) (*.f64 (/.f64 1/2 y) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 1/2 y) (*.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (cbrt.f64 (pow.f64 y 4)) (*.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) y))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (/.f64 1/2 y) (cbrt.f64 (pow.f64 y 4)))) |
(*.f64 (sqrt.f64 (*.f64 y 1/2)) (sqrt.f64 (*.f64 y 1/2))) |
(*.f64 1/2 y) |
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 1 (*.f64 y -2))) |
(*.f64 1/2 y) |
(*.f64 (/.f64 1/2 y) (*.f64 y y)) |
(*.f64 1/2 y) |
(*.f64 1/2 y) |
(*.f64 (/.f64 1 y) (/.f64 (*.f64 y y) 2)) |
(*.f64 1/2 y) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y 4)) y) (/.f64 (pow.f64 (cbrt.f64 y) 2) 2)) |
(*.f64 (cbrt.f64 (pow.f64 y 4)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 y 2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y 4)) 2) (/.f64 (pow.f64 (cbrt.f64 y) 2) y)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y 4)) y) (/.f64 (pow.f64 (cbrt.f64 y) 2) 2)) |
(*.f64 (cbrt.f64 (pow.f64 y 4)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 y 2))) |
(*.f64 (/.f64 y (*.f64 y 2)) y) |
(*.f64 1/2 y) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y 4)) 1) (/.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 y 2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y 4)) y) (/.f64 (pow.f64 (cbrt.f64 y) 2) 2)) |
(*.f64 (cbrt.f64 (pow.f64 y 4)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 y 2))) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 y (cbrt.f64 (*.f64 y 2)))) |
(*.f64 1/2 y) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (/.f64 (*.f64 y y) (cbrt.f64 (*.f64 y 2)))) |
(*.f64 1/2 y) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (cbrt.f64 (*.f64 y 1/2))) |
(*.f64 (cbrt.f64 (*.f64 1/2 y)) (/.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 (*.f64 y 2)) 2))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 y 2))) (/.f64 (*.f64 y y) (sqrt.f64 (*.f64 y 2)))) |
(*.f64 1/2 y) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y 4)) (sqrt.f64 (*.f64 y 2))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 y 2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y 4)) y) (/.f64 (pow.f64 (cbrt.f64 y) 2) 2)) |
(*.f64 (cbrt.f64 (pow.f64 y 4)) (/.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 y 2))) |
(pow.f64 (*.f64 y 1/2) 1) |
(*.f64 1/2 y) |
(pow.f64 (pow.f64 (*.f64 y 1/2) 3) 1/3) |
(*.f64 1/2 y) |
(pow.f64 (cbrt.f64 (*.f64 y 1/2)) 3) |
(*.f64 1/2 y) |
(pow.f64 (sqrt.f64 (*.f64 y 1/2)) 2) |
(*.f64 1/2 y) |
(pow.f64 (/.f64 2 y) -1) |
(*.f64 1/2 y) |
(neg.f64 (/.f64 (*.f64 y y) (*.f64 y -2))) |
(*.f64 1/2 y) |
(sqrt.f64 (/.f64 (*.f64 y y) 4)) |
(sqrt.f64 (/.f64 y (/.f64 4 y))) |
(sqrt.f64 (*.f64 (/.f64 y 4) y)) |
(sqrt.f64 (*.f64 y (*.f64 y 1/4))) |
(log.f64 (sqrt.f64 (exp.f64 y))) |
(cbrt.f64 (pow.f64 (*.f64 y 1/2) 3)) |
(*.f64 1/2 y) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y y) 3) (pow.f64 (*.f64 y 2) 3))) |
(*.f64 1/2 y) |
(expm1.f64 (log1p.f64 (*.f64 y 1/2))) |
(*.f64 1/2 y) |
(log1p.f64 (expm1.f64 (*.f64 y 1/2))) |
(*.f64 1/2 y) |
(exp.f64 (log.f64 (*.f64 y 1/2))) |
(*.f64 1/2 y) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 x z) y) |
| ✓ | 0.2b | (*.f64 (/.f64 (+.f64 x z) 2) (/.f64 (-.f64 x z) y)) |
Compiled 34 to 12 computations (64.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | (/.f64 (-.f64 x z) y) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 (+.f64 x z) 2) (/.f64 (-.f64 x z) y)) |
| 1.0ms | y | @ | inf | (*.f64 (/.f64 (+.f64 x z) 2) (/.f64 (-.f64 x z) y)) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (+.f64 x z) 2) (/.f64 (-.f64 x z) y)) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 (+.f64 x z) 2) (/.f64 (-.f64 x z) y)) |
| 1× | batch-egg-rewrite |
| 725× | prod-diff_binary64 |
| 635× | log-prod_binary64 |
| 280× | fma-def_binary64 |
| 270× | log-div_binary64 |
| 221× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 238 | 23 |
| 2 | 3708 | 23 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 x z) 2) (/.f64 (-.f64 x z) y)) |
(/.f64 (-.f64 x z) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 x z) (*.f64 1/2 (/.f64 (-.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x z))) (/.f64 (-.f64 x z) y))) (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x z))) (/.f64 (-.f64 x z) y))))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x z))) (/.f64 (-.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x z))) (/.f64 (-.f64 x z) y)))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x z))) (/.f64 (-.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x z) (*.f64 1/2 (/.f64 (-.f64 x z) y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x z) (*.f64 2 (/.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x z) (*.f64 (/.f64 y (-.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x z) (/.f64 (*.f64 2 y) (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x z) (/.f64 2 (/.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x z) 1/2) (/.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x z) (*.f64 (/.f64 2 (+.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x z) (*.f64 y (/.f64 2 (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x z) y) (/.f64 2 (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 2 (+.f64 x z)) (/.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y (-.f64 x z)) (/.f64 2 (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 2 y) (-.f64 (*.f64 x x) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (*.f64 (+.f64 x z) 1/2) (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x z)) (*.f64 (/.f64 2 (+.f64 x z)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x z)) (*.f64 (/.f64 y (-.f64 x z)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x z) 1/2) (-.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 x z) y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x z) 1/2) (-.f64 x z))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 z z))) (neg.f64 (*.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 x z)) 1) (*.f64 -2 (/.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 x z)) 1) (*.f64 (neg.f64 y) (/.f64 2 (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 x z)) (-.f64 x z)) (*.f64 -2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x z) (neg.f64 (-.f64 x z))) (*.f64 2 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 x z)) (neg.f64 (-.f64 x z))) (*.f64 -2 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 x z)) (+.f64 x z)) (*.f64 (neg.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x z) (neg.f64 (+.f64 x z))) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 x z)) (neg.f64 (+.f64 x z))) (*.f64 (neg.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (+.f64 x z) 1/2) (-.f64 x z)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (+.f64 x z) 1/2) (-.f64 x z)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (+.f64 x z) 1/2) (-.f64 x z)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 x z)) (/.f64 (-.f64 x z) y)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 x z)) (*.f64 (+.f64 x z) 1/2)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x z) 1/2) (neg.f64 (-.f64 x z))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 x z) y) (neg.f64 (+.f64 x z))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x z) (*.f64 1/2 (/.f64 (-.f64 x z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x z) (*.f64 1/2 (/.f64 (-.f64 x z) y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x z) (*.f64 1/2 (/.f64 (-.f64 x z) y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x z) (*.f64 1/2 (/.f64 (-.f64 x z) y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x z) (*.f64 1/2 (/.f64 (-.f64 x z) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x z))) (/.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x z) (*.f64 1/2 (/.f64 (-.f64 x z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x z) (*.f64 1/2 (/.f64 (-.f64 x z) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x z) 1/2) 3) (pow.f64 (/.f64 (-.f64 x z) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) (pow.f64 (*.f64 (+.f64 x z) 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x z) (*.f64 1/2 (/.f64 (-.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x z) (*.f64 1/2 (/.f64 (-.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x z) (*.f64 1/2 (/.f64 (-.f64 x z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x z) (*.f64 1/2 (/.f64 (-.f64 x z) y)))) 1)))))) |
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((x fma.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (neg.f64 (/.f64 z y))))))) |
| 1× | egg-herbie |
| 337× | div-sub_binary64 |
| 293× | log-prod_binary64 |
| 251× | +-commutative_binary64 |
| 230× | associate-+r+_binary64 |
| 229× | associate-+l+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 598 | 8143 |
| 1 | 1502 | 6152 |
| 2 | 5758 | 6142 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (*.f64 -1/2 (/.f64 (pow.f64 z 2) y))) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 -1/2 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) y)) |
(*.f64 -1 (/.f64 z y)) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(*.f64 -1 (/.f64 z y)) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(*.f64 -1 (/.f64 z y)) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(+.f64 0 (*.f64 (+.f64 x z) (*.f64 1/2 (/.f64 (-.f64 x z) y)))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x z))) (/.f64 (-.f64 x z) y))) (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x z))) (/.f64 (-.f64 x z) y))))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x z))) (/.f64 (-.f64 x z) y))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x z))) (/.f64 (-.f64 x z) y)))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x z))) (/.f64 (-.f64 x z) y))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x z) (*.f64 1/2 (/.f64 (-.f64 x z) y))))) 1) |
(/.f64 (+.f64 x z) (*.f64 2 (/.f64 y (-.f64 x z)))) |
(/.f64 (+.f64 x z) (*.f64 (/.f64 y (-.f64 x z)) 2)) |
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(*.f64 (/.f64 (sqrt.f64 (-.f64 x z)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (-.f64 x z)) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 x z)) (sqrt.f64 y))) |
(pow.f64 (/.f64 (-.f64 x z) y) 1) |
(pow.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x z) y)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x z) y)) 2) |
(pow.f64 (/.f64 y (-.f64 x z)) -1) |
(neg.f64 (/.f64 (-.f64 x z) (neg.f64 y))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x z) y) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 x z) y))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x z) y)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x z) y))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x z) y))) |
(exp.f64 (log.f64 (/.f64 (-.f64 x z) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x z) y)) 1)) |
(fma.f64 x (/.f64 1 y) (neg.f64 (/.f64 z y))) |
(fma.f64 1 (/.f64 x y) (neg.f64 (/.f64 z y))) |
(fma.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (cbrt.f64 (/.f64 x y)) (neg.f64 (/.f64 z y))) |
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (neg.f64 (/.f64 z y))) |
(fma.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y)) (neg.f64 (/.f64 z y))) |
(fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (neg.f64 (/.f64 z y))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) y) (neg.f64 (/.f64 z y))) |
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y) (neg.f64 (/.f64 z y))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 y y))) (/.f64 (cbrt.f64 x) (cbrt.f64 y)) (neg.f64 (/.f64 z y))) |
(fma.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (neg.f64 (/.f64 z y))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (neg.f64 (/.f64 z y))) |
(fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (neg.f64 (/.f64 z y))) |
| Outputs |
|---|
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 (*.f64 1/2 (*.f64 0 (/.f64 z y))) x)) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 x 0)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (+.f64 (*.f64 x (*.f64 0 (/.f64 z y))) (/.f64 (*.f64 x x) y)))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (fma.f64 x 0 (/.f64 x (/.f64 y x))))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (+.f64 (*.f64 x (*.f64 0 (/.f64 z y))) (/.f64 (*.f64 x x) y)))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (fma.f64 x 0 (/.f64 x (/.f64 y x))))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/2 x) x) y) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/2 (+.f64 (*.f64 x (*.f64 0 (/.f64 z y))) (/.f64 (*.f64 x x) y))) |
(*.f64 1/2 (fma.f64 x 0 (/.f64 x (/.f64 y x)))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (+.f64 (*.f64 x (*.f64 0 (/.f64 z y))) (/.f64 (*.f64 x x) y)))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (fma.f64 x 0 (/.f64 x (/.f64 y x))))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (+.f64 (*.f64 x (*.f64 0 (/.f64 z y))) (/.f64 (*.f64 x x) y)))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (fma.f64 x 0 (/.f64 x (/.f64 y x))))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/2 x) x) y) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/2 (+.f64 (*.f64 x (*.f64 0 (/.f64 z y))) (/.f64 (*.f64 x x) y))) |
(*.f64 1/2 (fma.f64 x 0 (/.f64 x (/.f64 y x)))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (+.f64 (*.f64 x (*.f64 0 (/.f64 z y))) (/.f64 (*.f64 x x) y)))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (fma.f64 x 0 (/.f64 x (/.f64 y x))))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 z y) (*.f64 -1 (/.f64 z y))) x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (+.f64 (*.f64 x (*.f64 0 (/.f64 z y))) (/.f64 (*.f64 x x) y)))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 1/2 (fma.f64 x 0 (/.f64 x (/.f64 y x))))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (*.f64 x x) y)) |
(/.f64 (*.f64 (*.f64 1/2 x) x) y) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/2 (+.f64 (*.f64 z (*.f64 0 (/.f64 x y))) (/.f64 (*.f64 x x) y))) |
(fma.f64 0 z (/.f64 (*.f64 (*.f64 1/2 x) x) y)) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(fma.f64 1/2 (*.f64 z (*.f64 0 (/.f64 x y))) (fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (/.f64 (*.f64 x x) y)))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (fma.f64 0 z (/.f64 (*.f64 (*.f64 1/2 x) x) y))) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(fma.f64 1/2 (*.f64 z (*.f64 0 (/.f64 x y))) (fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (/.f64 (*.f64 x x) y)))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (fma.f64 0 z (/.f64 (*.f64 (*.f64 1/2 x) x) y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (*.f64 -1/2 (/.f64 (pow.f64 z 2) y))) |
(fma.f64 1/2 (*.f64 z (*.f64 0 (/.f64 x y))) (*.f64 -1/2 (/.f64 (*.f64 z z) y))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 z 0)) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(fma.f64 1/2 (*.f64 z (*.f64 0 (/.f64 x y))) (fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (/.f64 (*.f64 x x) y)))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (fma.f64 0 z (/.f64 (*.f64 (*.f64 1/2 x) x) y))) |
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(fma.f64 1/2 (*.f64 z (*.f64 0 (/.f64 x y))) (fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (/.f64 (*.f64 x x) y)))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (fma.f64 0 z (/.f64 (*.f64 (*.f64 1/2 x) x) y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (*.f64 -1/2 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z))) |
(fma.f64 1/2 (*.f64 z (*.f64 0 (/.f64 x y))) (*.f64 -1/2 (/.f64 (*.f64 z z) y))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (*.f64 z 0)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(fma.f64 1/2 (*.f64 z (*.f64 0 (/.f64 x y))) (fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (/.f64 (*.f64 x x) y)))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (fma.f64 0 z (/.f64 (*.f64 (*.f64 1/2 x) x) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) z)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(fma.f64 1/2 (*.f64 z (*.f64 0 (/.f64 x y))) (fma.f64 -1/2 (/.f64 (*.f64 z z) y) (*.f64 1/2 (/.f64 (*.f64 x x) y)))) |
(fma.f64 -1/2 (/.f64 z (/.f64 y z)) (fma.f64 0 z (/.f64 (*.f64 (*.f64 1/2 x) x) y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) y)) |
(*.f64 1/2 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) |
(*.f64 (-.f64 x z) (/.f64 (+.f64 z x) (*.f64 2 y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) y)) |
(*.f64 1/2 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) |
(*.f64 (-.f64 x z) (/.f64 (+.f64 z x) (*.f64 2 y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) y)) |
(*.f64 1/2 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) |
(*.f64 (-.f64 x z) (/.f64 (+.f64 z x) (*.f64 2 y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) y)) |
(*.f64 1/2 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) |
(*.f64 (-.f64 x z) (/.f64 (+.f64 z x) (*.f64 2 y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) y)) |
(*.f64 1/2 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) |
(*.f64 (-.f64 x z) (/.f64 (+.f64 z x) (*.f64 2 y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) y)) |
(*.f64 1/2 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) |
(*.f64 (-.f64 x z) (/.f64 (+.f64 z x) (*.f64 2 y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) y)) |
(*.f64 1/2 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) |
(*.f64 (-.f64 x z) (/.f64 (+.f64 z x) (*.f64 2 y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) y)) |
(*.f64 1/2 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) |
(*.f64 (-.f64 x z) (/.f64 (+.f64 z x) (*.f64 2 y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) y)) |
(*.f64 1/2 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) |
(*.f64 (-.f64 x z) (/.f64 (+.f64 z x) (*.f64 2 y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) y)) |
(*.f64 1/2 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) |
(*.f64 (-.f64 x z) (/.f64 (+.f64 z x) (*.f64 2 y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) y)) |
(*.f64 1/2 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) |
(*.f64 (-.f64 x z) (/.f64 (+.f64 z x) (*.f64 2 y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) y)) |
(*.f64 1/2 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) |
(*.f64 (-.f64 x z) (/.f64 (+.f64 z x) (*.f64 2 y))) |
(*.f64 -1 (/.f64 z y)) |
(neg.f64 (/.f64 z y)) |
(/.f64 (neg.f64 z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 x z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 x z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 x z) y) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 x z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 x z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 x z) y) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 x z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 x z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 x z) y) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 x z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 x z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 x z) y) |
(*.f64 -1 (/.f64 z y)) |
(neg.f64 (/.f64 z y)) |
(/.f64 (neg.f64 z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 x z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 x z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 x z) y) |
(*.f64 -1 (/.f64 z y)) |
(neg.f64 (/.f64 z y)) |
(/.f64 (neg.f64 z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 x z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 x z) y) |
(+.f64 (/.f64 x y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 x z) y) |
(+.f64 0 (*.f64 (+.f64 x z) (*.f64 1/2 (/.f64 (-.f64 x z) y)))) |
(*.f64 1/2 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) |
(*.f64 (-.f64 x z) (/.f64 (+.f64 z x) (*.f64 2 y))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x z))) (/.f64 (-.f64 x z) y))) (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x z))) (/.f64 (-.f64 x z) y))))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x z))) (/.f64 (-.f64 x z) y))))) |
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 z x))) (/.f64 (-.f64 x z) y))) (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 z x))) (/.f64 (-.f64 x z) y))))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 z x))) (/.f64 (-.f64 x z) y))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 z x))) (/.f64 (-.f64 x z) y))))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 z x))) (/.f64 (-.f64 x z) y))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x z))) (/.f64 (-.f64 x z) y)))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x z))) (/.f64 (-.f64 x z) y))))) |
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 z x))) (/.f64 (-.f64 x z) y))))) |
(*.f64 (/.f64 (-.f64 x z) y) (log.f64 (sqrt.f64 (exp.f64 (+.f64 z x))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x z) (*.f64 1/2 (/.f64 (-.f64 x z) y))))) 1) |
(*.f64 1/2 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) |
(*.f64 (-.f64 x z) (/.f64 (+.f64 z x) (*.f64 2 y))) |
(/.f64 (+.f64 x z) (*.f64 2 (/.f64 y (-.f64 x z)))) |
(*.f64 1/2 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) |
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(*.f64 (-.f64 x z) (/.f64 1 y)) |
(/.f64 (-.f64 x z) y) |
(*.f64 (/.f64 (-.f64 x z) y) 1) |
(/.f64 (-.f64 x z) y) |
(*.f64 1 (/.f64 (-.f64 x z) y)) |
(/.f64 (-.f64 x z) y) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 x z) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x z) y)) 2)) |
(/.f64 (-.f64 x z) y) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x z) y)) 2) (cbrt.f64 (/.f64 (-.f64 x z) y))) |
(/.f64 (-.f64 x z) y) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (*.f64 (cbrt.f64 (-.f64 x z)) (/.f64 1 y))) |
(/.f64 (-.f64 x z) y) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x z) y)) (sqrt.f64 (/.f64 (-.f64 x z) y))) |
(/.f64 (-.f64 x z) y) |
(*.f64 (sqrt.f64 (-.f64 x z)) (*.f64 (sqrt.f64 (-.f64 x z)) (/.f64 1 y))) |
(/.f64 (-.f64 x z) y) |
(*.f64 (neg.f64 (-.f64 x z)) (/.f64 1 (neg.f64 y))) |
(/.f64 (-.f64 x z) y) |
(*.f64 (/.f64 1 y) (-.f64 x z)) |
(/.f64 (-.f64 x z) y) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (-.f64 x z) (cbrt.f64 y))) |
(/.f64 (/.f64 (-.f64 x z) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 x z) (sqrt.f64 y))) |
(/.f64 (/.f64 (-.f64 x z) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x z)) y)) |
(/.f64 (-.f64 x z) y) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x z)) 1) (/.f64 (sqrt.f64 (-.f64 x z)) y)) |
(/.f64 (-.f64 x z) y) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 (-.f64 x z) y))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 x z) y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (cbrt.f64 (*.f64 y y)))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 x z) y)) (pow.f64 (cbrt.f64 (-.f64 x z)) 2)) (cbrt.f64 (*.f64 y y))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x z)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (-.f64 x z)) (cbrt.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (-.f64 x z) (cbrt.f64 y))) |
(/.f64 (/.f64 (-.f64 x z) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x z)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 x z)) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 x z) (sqrt.f64 y))) |
(/.f64 (/.f64 (-.f64 x z) (sqrt.f64 y)) (sqrt.f64 y)) |
(pow.f64 (/.f64 (-.f64 x z) y) 1) |
(/.f64 (-.f64 x z) y) |
(pow.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3) 1/3) |
(/.f64 (-.f64 x z) y) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x z) y)) 3) |
(/.f64 (-.f64 x z) y) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x z) y)) 2) |
(/.f64 (-.f64 x z) y) |
(pow.f64 (/.f64 y (-.f64 x z)) -1) |
(/.f64 (-.f64 x z) y) |
(neg.f64 (/.f64 (-.f64 x z) (neg.f64 y))) |
(/.f64 (-.f64 x z) y) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x z) y) 2)) |
(/.f64 (-.f64 x z) y) |
(log.f64 (exp.f64 (/.f64 (-.f64 x z) y))) |
(/.f64 (-.f64 x z) y) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x z) y)))) |
(/.f64 (-.f64 x z) y) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x z) y) 3)) |
(/.f64 (-.f64 x z) y) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x z) 3) (pow.f64 y 3))) |
(/.f64 (-.f64 x z) y) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x z) y))) |
(/.f64 (-.f64 x z) y) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x z) y))) |
(/.f64 (-.f64 x z) y) |
(exp.f64 (log.f64 (/.f64 (-.f64 x z) y))) |
(/.f64 (-.f64 x z) y) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x z) y)) 1)) |
(/.f64 (-.f64 x z) y) |
(fma.f64 x (/.f64 1 y) (neg.f64 (/.f64 z y))) |
(/.f64 (-.f64 x z) y) |
(fma.f64 1 (/.f64 x y) (neg.f64 (/.f64 z y))) |
(/.f64 (-.f64 x z) y) |
(fma.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (cbrt.f64 (/.f64 x y)) (neg.f64 (/.f64 z y))) |
(/.f64 (-.f64 x z) y) |
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (neg.f64 (/.f64 z y))) |
(/.f64 (-.f64 x z) y) |
(fma.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y)) (neg.f64 (/.f64 z y))) |
(-.f64 (/.f64 (*.f64 1 (/.f64 x (cbrt.f64 y))) (cbrt.f64 (*.f64 y y))) (/.f64 z y)) |
(fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (neg.f64 (/.f64 z y))) |
(fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (/.f64 (neg.f64 z) y)) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) y) (neg.f64 (/.f64 z y))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) y) (neg.f64 (/.f64 z y))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) y) (/.f64 (neg.f64 z) y)) |
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y) (neg.f64 (/.f64 z y))) |
(/.f64 (-.f64 x z) y) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 y y))) (/.f64 (cbrt.f64 x) (cbrt.f64 y)) (neg.f64 (/.f64 z y))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 y y))) (/.f64 (cbrt.f64 x) (cbrt.f64 y)) (/.f64 (neg.f64 z) y)) |
(fma.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (neg.f64 (/.f64 z y))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 x) (cbrt.f64 y))) (/.f64 z y)) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (neg.f64 (/.f64 z y))) |
(-.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (/.f64 z y)) |
(fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (neg.f64 (/.f64 z y))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 x) (sqrt.f64 y))) (/.f64 z y)) |
Compiled 12894 to 4463 computations (65.4% saved)
13 alts after pruning (7 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 538 | 3 | 541 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 5 | 6 |
| Total | 540 | 13 | 553 |
| Status | Error | Program |
|---|---|---|
| 45.6b | (/.f64 (/.f64 (*.f64 x 1/2) y) (/.f64 1 x)) | |
| ✓ | 48.2b | (/.f64 (*.f64 y y) (*.f64 y 2)) |
| ▶ | 47.8b | (/.f64 1/2 (/.f64 y (*.f64 x x))) |
| ▶ | 56.0b | (/.f64 -1/2 (/.f64 y (*.f64 z z))) |
| 50.9b | (*.f64 (/.f64 (+.f64 z x) (sqrt.f64 (+.f64 y y))) (/.f64 (-.f64 x z) (sqrt.f64 (+.f64 y y)))) | |
| ✓ | 36.2b | (*.f64 (/.f64 (+.f64 x z) 2) (/.f64 (-.f64 x z) y)) |
| ✓ | 53.3b | (*.f64 (/.f64 z (/.f64 y z)) -1/2) |
| ▶ | 53.3b | (*.f64 (/.f64 z (/.f64 y -1/2)) z) |
| ▶ | 45.6b | (*.f64 (/.f64 x (*.f64 y 2)) x) |
| ✓ | 45.6b | (*.f64 1/2 (/.f64 x (/.f64 y x))) |
| ✓ | 27.0b | (*.f64 1/2 y) |
| ▶ | 16.8b | (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) |
| ✓ | 10.4b | (*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) |
Compiled 231 to 154 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 z (/.f64 y z)) y) |
| 0.2b | (/.f64 z (/.f64 y z)) |
Compiled 30 to 9 computations (70% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (-.f64 (/.f64 z (/.f64 y z)) y) |
| 0.0ms | y | @ | inf | (-.f64 (/.f64 z (/.f64 y z)) y) |
| 0.0ms | y | @ | -inf | (-.f64 (/.f64 z (/.f64 y z)) y) |
| 0.0ms | z | @ | inf | (-.f64 (/.f64 z (/.f64 y z)) y) |
| 0.0ms | y | @ | 0 | (-.f64 (/.f64 z (/.f64 y z)) y) |
| 1× | batch-egg-rewrite |
| 890× | pow1_binary64 |
| 832× | add-log-exp_binary64 |
| 832× | log1p-expm1-u_binary64 |
| 832× | expm1-log1p-u_binary64 |
| 813× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 141 | 10 |
| 2 | 2243 | 10 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 z (/.f64 y z)) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (/.f64 z y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (/.f64 z y)) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 z (/.f64 z y)) y) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 z (/.f64 z y)) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 z (/.f64 z y)) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (*.f64 z (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 z (/.f64 z y)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 z (/.f64 z y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) 2) (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) (sqrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y (fma.f64 z (/.f64 z y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y y)) (/.f64 1 (fma.f64 z (/.f64 z y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 z (/.f64 z y))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (*.f64 z (/.f64 z y))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y (fma.f64 z (/.f64 z y) y))) (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z (/.f64 z y) y) (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y (fma.f64 z (/.f64 z y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y y)) (fma.f64 z (/.f64 z y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y (fma.f64 z (/.f64 z y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y y))) (neg.f64 (fma.f64 z (/.f64 z y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (*.f64 z (/.f64 z y)) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (*.f64 z (/.f64 z y)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 z (/.f64 z y)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 z (/.f64 z y)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 z (/.f64 z y)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 z (/.f64 z y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 z (/.f64 z y)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 z (/.f64 z y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 z (/.f64 z y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 z (/.f64 z y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (/.f64 z y) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (/.f64 z y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 z y))) 2) (cbrt.f64 (*.f64 z (/.f64 z y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (/.f64 z y))) (sqrt.f64 (*.f64 z (/.f64 z y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z y) z (neg.f64 y)))))) |
| 1× | egg-herbie |
| 724× | fma-neg_binary64 |
| 594× | associate-/r/_binary64 |
| 371× | fma-def_binary64 |
| 242× | distribute-rgt-neg-in_binary64 |
| 208× | distribute-lft-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 750 |
| 1 | 267 | 725 |
| 2 | 998 | 725 |
| 3 | 4480 | 710 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(/.f64 (pow.f64 z 2) y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(+.f64 (*.f64 z (/.f64 z y)) (neg.f64 y)) |
(+.f64 (*.f64 z (/.f64 z y)) (*.f64 (neg.f64 y) 1)) |
(+.f64 (-.f64 (*.f64 z (/.f64 z y)) y) (fma.f64 (neg.f64 y) 1 y)) |
(+.f64 (-.f64 (*.f64 z (/.f64 z y)) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y)) |
(+.f64 (-.f64 (*.f64 z (/.f64 z y)) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y)) |
(+.f64 (neg.f64 y) (*.f64 z (/.f64 z y))) |
(*.f64 (-.f64 (*.f64 z (/.f64 z y)) y) 1) |
(*.f64 1 (-.f64 (*.f64 z (/.f64 z y)) y)) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) 2) (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y))) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) (sqrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y))) |
(*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y (fma.f64 z (/.f64 z y) y))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y y)) (/.f64 1 (fma.f64 z (/.f64 z y) y))) |
(*.f64 (+.f64 (sqrt.f64 (*.f64 z (/.f64 z y))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (*.f64 z (/.f64 z y))) (sqrt.f64 y))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y (fma.f64 z (/.f64 z y) y))) (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3)))) |
(/.f64 1 (/.f64 (fma.f64 z (/.f64 z y) y) (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y (fma.f64 z (/.f64 z y) y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y y)) (fma.f64 z (/.f64 z y) y)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y (fma.f64 z (/.f64 z y) y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y y))) (neg.f64 (fma.f64 z (/.f64 z y) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (*.f64 z (/.f64 z y)) (neg.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (*.f64 z (/.f64 z y)) (neg.f64 y))) |
(pow.f64 (-.f64 (*.f64 z (/.f64 z y)) y) 1) |
(pow.f64 (pow.f64 (-.f64 (*.f64 z (/.f64 z y)) y) 3) 1/3) |
(pow.f64 (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) 3) |
(pow.f64 (sqrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) 2) |
(sqrt.f64 (pow.f64 (-.f64 (*.f64 z (/.f64 z y)) y) 2)) |
(log.f64 (exp.f64 (-.f64 (*.f64 z (/.f64 z y)) y))) |
(cbrt.f64 (pow.f64 (-.f64 (*.f64 z (/.f64 z y)) y) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (*.f64 z (/.f64 z y)) y))) |
(log1p.f64 (expm1.f64 (-.f64 (*.f64 z (/.f64 z y)) y))) |
(exp.f64 (log.f64 (-.f64 (*.f64 z (/.f64 z y)) y))) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(fma.f64 1 (*.f64 z (/.f64 z y)) (neg.f64 y)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 z y))) 2) (cbrt.f64 (*.f64 z (/.f64 z y))) (neg.f64 y)) |
(fma.f64 (sqrt.f64 (*.f64 z (/.f64 z y))) (sqrt.f64 (*.f64 z (/.f64 z y))) (neg.f64 y)) |
(fma.f64 (/.f64 z y) z (neg.f64 y)) |
| Outputs |
|---|
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(*.f64 z (/.f64 z y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(*.f64 z (/.f64 z y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(/.f64 (pow.f64 z 2) y) |
(/.f64 (*.f64 z z) y) |
(*.f64 z (/.f64 z y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 -1 y) (/.f64 (pow.f64 z 2) y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 z (/.f64 z y)) (neg.f64 y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (*.f64 z (/.f64 z y)) (*.f64 (neg.f64 y) 1)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (-.f64 (*.f64 z (/.f64 z y)) y) (fma.f64 (neg.f64 y) 1 y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (-.f64 (*.f64 z (/.f64 z y)) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (-.f64 (*.f64 z (/.f64 z y)) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(+.f64 (neg.f64 y) (*.f64 z (/.f64 z y))) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(*.f64 (-.f64 (*.f64 z (/.f64 z y)) y) 1) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(*.f64 1 (-.f64 (*.f64 z (/.f64 z y)) y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) 2)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) 2) (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y))) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) (sqrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y))) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y (fma.f64 z (/.f64 z y) y))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z z) y) 3) (pow.f64 y 3)) 1) (+.f64 (pow.f64 (/.f64 (*.f64 z z) y) 2) (*.f64 y (fma.f64 z (/.f64 z y) y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3)) (fma.f64 y (fma.f64 z (/.f64 z y) y) (pow.f64 (*.f64 z (/.f64 z y)) 2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3)) (fma.f64 y y (*.f64 (*.f64 z (/.f64 z y)) (fma.f64 z (/.f64 z y) y)))) |
(/.f64 (-.f64 (/.f64 (pow.f64 z 6) (pow.f64 y 3)) (pow.f64 y 3)) (fma.f64 y y (fma.f64 z z (/.f64 (/.f64 (pow.f64 z 4) y) y)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y y)) (/.f64 1 (fma.f64 z (/.f64 z y) y))) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(*.f64 (+.f64 (sqrt.f64 (*.f64 z (/.f64 z y))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (*.f64 z (/.f64 z y))) (sqrt.f64 y))) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y (fma.f64 z (/.f64 z y) y))) (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z z) y) 3) (pow.f64 y 3)) 1) (+.f64 (pow.f64 (/.f64 (*.f64 z z) y) 2) (*.f64 y (fma.f64 z (/.f64 z y) y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3)) (fma.f64 y (fma.f64 z (/.f64 z y) y) (pow.f64 (*.f64 z (/.f64 z y)) 2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3)) (fma.f64 y y (*.f64 (*.f64 z (/.f64 z y)) (fma.f64 z (/.f64 z y) y)))) |
(/.f64 (-.f64 (/.f64 (pow.f64 z 6) (pow.f64 y 3)) (pow.f64 y 3)) (fma.f64 y y (fma.f64 z z (/.f64 (/.f64 (pow.f64 z 4) y) y)))) |
(/.f64 1 (/.f64 (fma.f64 z (/.f64 z y) y) (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y y)))) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y (fma.f64 z (/.f64 z y) y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z z) y) 3) (pow.f64 y 3)) 1) (+.f64 (pow.f64 (/.f64 (*.f64 z z) y) 2) (*.f64 y (fma.f64 z (/.f64 z y) y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3)) (fma.f64 y (fma.f64 z (/.f64 z y) y) (pow.f64 (*.f64 z (/.f64 z y)) 2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3)) (fma.f64 y y (*.f64 (*.f64 z (/.f64 z y)) (fma.f64 z (/.f64 z y) y)))) |
(/.f64 (-.f64 (/.f64 (pow.f64 z 6) (pow.f64 y 3)) (pow.f64 y 3)) (fma.f64 y y (fma.f64 z z (/.f64 (/.f64 (pow.f64 z 4) y) y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y y)) (fma.f64 z (/.f64 z y) y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y (fma.f64 z (/.f64 z y) y))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z z) y) 3) (pow.f64 y 3)) 1) (+.f64 (pow.f64 (/.f64 (*.f64 z z) y) 2) (*.f64 y (fma.f64 z (/.f64 z y) y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3)) (fma.f64 y (fma.f64 z (/.f64 z y) y) (pow.f64 (*.f64 z (/.f64 z y)) 2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3)) (fma.f64 y y (*.f64 (*.f64 z (/.f64 z y)) (fma.f64 z (/.f64 z y) y)))) |
(/.f64 (-.f64 (/.f64 (pow.f64 z 6) (pow.f64 y 3)) (pow.f64 y 3)) (fma.f64 y y (fma.f64 z z (/.f64 (/.f64 (pow.f64 z 4) y) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 y y))) (neg.f64 (fma.f64 z (/.f64 z y) y))) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(/.f64 (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (*.f64 z (/.f64 z y)) (neg.f64 y))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z z) y) 3) (pow.f64 y 3)) 1) (+.f64 (pow.f64 (/.f64 (*.f64 z z) y) 2) (*.f64 y (fma.f64 z (/.f64 z y) y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3)) (fma.f64 y (fma.f64 z (/.f64 z y) y) (pow.f64 (*.f64 z (/.f64 z y)) 2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 3) (pow.f64 y 3)) (fma.f64 y y (*.f64 (*.f64 z (/.f64 z y)) (fma.f64 z (/.f64 z y) y)))) |
(/.f64 (-.f64 (/.f64 (pow.f64 z 6) (pow.f64 y 3)) (pow.f64 y 3)) (fma.f64 y y (fma.f64 z z (/.f64 (/.f64 (pow.f64 z 4) y) y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z y)) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (*.f64 z (/.f64 z y)) (neg.f64 y))) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(pow.f64 (-.f64 (*.f64 z (/.f64 z y)) y) 1) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(pow.f64 (pow.f64 (-.f64 (*.f64 z (/.f64 z y)) y) 3) 1/3) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(pow.f64 (cbrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) 3) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(pow.f64 (sqrt.f64 (-.f64 (*.f64 z (/.f64 z y)) y)) 2) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(sqrt.f64 (pow.f64 (-.f64 (*.f64 z (/.f64 z y)) y) 2)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(log.f64 (exp.f64 (-.f64 (*.f64 z (/.f64 z y)) y))) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(cbrt.f64 (pow.f64 (-.f64 (*.f64 z (/.f64 z y)) y) 3)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(expm1.f64 (log1p.f64 (-.f64 (*.f64 z (/.f64 z y)) y))) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(log1p.f64 (expm1.f64 (-.f64 (*.f64 z (/.f64 z y)) y))) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(exp.f64 (log.f64 (-.f64 (*.f64 z (/.f64 z y)) y))) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 1 (*.f64 z (/.f64 z y)) (neg.f64 y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 z y))) 2) (cbrt.f64 (*.f64 z (/.f64 z y))) (neg.f64 y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(fma.f64 (sqrt.f64 (*.f64 z (/.f64 z y))) (sqrt.f64 (*.f64 z (/.f64 z y))) (neg.f64 y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
(fma.f64 (/.f64 z y) z (neg.f64 y)) |
(-.f64 (/.f64 (*.f64 z z) y) y) |
(-.f64 (*.f64 z (/.f64 z y)) y) |
(fma.f64 z (/.f64 z y) (neg.f64 y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 x (*.f64 y 2)) x) |
Compiled 21 to 13 computations (38.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 x (*.f64 y 2)) x) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 x (*.f64 y 2)) x) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 x (*.f64 y 2)) x) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 x (*.f64 y 2)) x) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 x (*.f64 y 2)) x) |
| 1× | batch-egg-rewrite |
| 792× | pow1_binary64 |
| 736× | add-log-exp_binary64 |
| 736× | log1p-expm1-u_binary64 |
| 736× | expm1-log1p-u_binary64 |
| 721× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 148 | 10 |
| 2 | 1964 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x (*.f64 y 2)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y 2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x x)) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) x) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) 2) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) 1) (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (cbrt.f64 (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 y 2))) (sqrt.f64 (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (*.f64 y 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (sqrt.f64 (exp.f64 (/.f64 x y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 1/2 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))))))) |
| 1× | egg-herbie |
| 699× | log-div_binary64 |
| 562× | log-prod_binary64 |
| 436× | associate-*l/_binary64 |
| 372× | associate-*r/_binary64 |
| 315× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 503 |
| 1 | 196 | 503 |
| 2 | 672 | 503 |
| 3 | 4091 | 503 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 1) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(/.f64 1 (/.f64 (*.f64 y 2) (*.f64 x x))) |
(/.f64 (*.f64 x x) (*.f64 y 2)) |
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 y -2)) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 y -2)) |
(/.f64 (*.f64 (/.f64 x y) x) 2) |
(/.f64 (*.f64 x (neg.f64 x)) (*.f64 y -2)) |
(/.f64 (*.f64 x (/.f64 x y)) 2) |
(/.f64 (/.f64 (*.f64 x x) y) 2) |
(/.f64 (/.f64 (*.f64 x x) 2) y) |
(/.f64 (/.f64 (*.f64 x x) 1) (*.f64 y 2)) |
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (cbrt.f64 (*.f64 y 2))) |
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 y 2))) (sqrt.f64 (*.f64 y 2))) |
(pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 1) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 3) |
(pow.f64 (/.f64 x (sqrt.f64 (*.f64 y 2))) 2) |
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 2)) |
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (/.f64 x y))) x)) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))) |
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 1) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(/.f64 1 (/.f64 (*.f64 y 2) (*.f64 x x))) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x x) (*.f64 y 2)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 y -2)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 y -2)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 (/.f64 x y) x) 2) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (neg.f64 x)) (*.f64 y -2)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x (/.f64 x y)) 2) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(/.f64 (/.f64 (*.f64 x x) y) 2) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(/.f64 (/.f64 (*.f64 x x) 2) y) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(/.f64 (/.f64 (*.f64 x x) 1) (*.f64 y 2)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 y 2)) 2)) (cbrt.f64 (*.f64 y 2))) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 y 2))) (sqrt.f64 (*.f64 y 2))) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 1) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 3) 1/3) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 3) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(pow.f64 (/.f64 x (sqrt.f64 (*.f64 y 2))) 2) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 2)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (/.f64 x y))) x)) |
(*.f64 x (log.f64 (sqrt.f64 (exp.f64 (/.f64 x y))))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 3)) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3) (pow.f64 x 3))) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))) |
(/.f64 (*.f64 1/2 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (*.f64 x (/.f64 x y))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 z (/.f64 y -1/2)) z) |
Compiled 21 to 13 computations (38.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | 0 | (*.f64 (/.f64 z (/.f64 y -1/2)) z) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 z (/.f64 y -1/2)) z) |
| 0.0ms | z | @ | inf | (*.f64 (/.f64 z (/.f64 y -1/2)) z) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 z (/.f64 y -1/2)) z) |
| 0.0ms | z | @ | -inf | (*.f64 (/.f64 z (/.f64 y -1/2)) z) |
| 1× | batch-egg-rewrite |
| 826× | pow1_binary64 |
| 773× | add-log-exp_binary64 |
| 772× | log1p-expm1-u_binary64 |
| 772× | expm1-log1p-u_binary64 |
| 758× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 156 | 10 |
| 2 | 2099 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 z z) y) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y (/.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y -2) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z z) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z z)) (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) z) (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 z)) (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z z) y) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z z) 1) (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z z) (pow.f64 (cbrt.f64 (*.f64 y -2)) 2)) (cbrt.f64 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z z) (sqrt.f64 (*.f64 y -2))) (sqrt.f64 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 z z) y) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (*.f64 z z) y) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 z z) y) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (sqrt.f64 (*.f64 y -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 z z) y) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (*.f64 z z) y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 z z) y) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (*.f64 z (/.f64 -1/2 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 -1/2 y)) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 z z) y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (*.f64 z z) y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (*.f64 z z) y) -2))))))) |
| 1× | egg-herbie |
| 616× | associate-*l*_binary64 |
| 572× | associate-*r*_binary64 |
| 526× | log-div_binary64 |
| 408× | associate-*l/_binary64 |
| 329× | associate-*r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 470 |
| 1 | 177 | 470 |
| 2 | 656 | 470 |
| 3 | 5778 | 470 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(-.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 z z) y) -2)) 1) |
(/.f64 z (/.f64 y (/.f64 z -2))) |
(/.f64 1 (/.f64 (*.f64 y -2) (*.f64 z z))) |
(/.f64 (*.f64 z z) (*.f64 y -2)) |
(/.f64 (neg.f64 (*.f64 z z)) (*.f64 y 2)) |
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 y 2)) |
(/.f64 (*.f64 z (neg.f64 z)) (*.f64 y 2)) |
(/.f64 (/.f64 (*.f64 z z) y) -2) |
(/.f64 (/.f64 (*.f64 z z) 1) (*.f64 y -2)) |
(/.f64 (/.f64 (*.f64 z z) (pow.f64 (cbrt.f64 (*.f64 y -2)) 2)) (cbrt.f64 (*.f64 y -2))) |
(/.f64 (/.f64 (*.f64 z z) (sqrt.f64 (*.f64 y -2))) (sqrt.f64 (*.f64 y -2))) |
(pow.f64 (/.f64 (/.f64 (*.f64 z z) y) -2) 1) |
(pow.f64 (pow.f64 (/.f64 (/.f64 (*.f64 z z) y) -2) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 z z) y) -2)) 3) |
(pow.f64 (/.f64 z (sqrt.f64 (*.f64 y -2))) 2) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 z z) y) -2) 2)) |
(log.f64 (exp.f64 (/.f64 (/.f64 (*.f64 z z) y) -2))) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 z z) y) -2) 3)) |
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (*.f64 z (/.f64 -1/2 y)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 -1/2 y)) 3) (pow.f64 z 3))) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 z z) y) -2))) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (*.f64 z z) y) -2))) |
(exp.f64 (log.f64 (/.f64 (/.f64 (*.f64 z z) y) -2))) |
| Outputs |
|---|
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(-.f64 (+.f64 1 (/.f64 (/.f64 (*.f64 z z) y) -2)) 1) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(/.f64 z (/.f64 y (/.f64 z -2))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(/.f64 1 (/.f64 (*.f64 y -2) (*.f64 z z))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(/.f64 (*.f64 z z) (*.f64 y -2)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(/.f64 (neg.f64 (*.f64 z z)) (*.f64 y 2)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 y 2)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(/.f64 (*.f64 z (neg.f64 z)) (*.f64 y 2)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(/.f64 (/.f64 (*.f64 z z) y) -2) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(/.f64 (/.f64 (*.f64 z z) 1) (*.f64 y -2)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(/.f64 (/.f64 (*.f64 z z) (pow.f64 (cbrt.f64 (*.f64 y -2)) 2)) (cbrt.f64 (*.f64 y -2))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(/.f64 (/.f64 (*.f64 z z) (sqrt.f64 (*.f64 y -2))) (sqrt.f64 (*.f64 y -2))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(pow.f64 (/.f64 (/.f64 (*.f64 z z) y) -2) 1) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(pow.f64 (pow.f64 (/.f64 (/.f64 (*.f64 z z) y) -2) 3) 1/3) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 z z) y) -2)) 3) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(pow.f64 (/.f64 z (sqrt.f64 (*.f64 y -2))) 2) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 z z) y) -2) 2)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(log.f64 (exp.f64 (/.f64 (/.f64 (*.f64 z z) y) -2))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 z z) y) -2) 3)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (*.f64 z (/.f64 -1/2 y)) 3))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 -1/2 y)) 3) (pow.f64 z 3))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 z z) y) -2))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (*.f64 z z) y) -2))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
(exp.f64 (log.f64 (/.f64 (/.f64 (*.f64 z z) y) -2))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 (*.f64 z (*.f64 -1/2 z)) y) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.9b | (/.f64 -1/2 (/.f64 y (*.f64 z z))) |
| ✓ | 11.5b | (/.f64 y (*.f64 z z)) |
Compiled 21 to 8 computations (61.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 y (*.f64 z z)) |
| 1.0ms | y | @ | -inf | (/.f64 y (*.f64 z z)) |
| 0.0ms | z | @ | 0 | (/.f64 y (*.f64 z z)) |
| 0.0ms | y | @ | inf | (/.f64 y (*.f64 z z)) |
| 0.0ms | y | @ | 0 | (/.f64 -1/2 (/.f64 y (*.f64 z z))) |
| 1× | batch-egg-rewrite |
| 808× | pow1_binary64 |
| 756× | add-log-exp_binary64 |
| 755× | log1p-expm1-u_binary64 |
| 755× | expm1-log1p-u_binary64 |
| 739× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 156 | 17 |
| 2 | 2097 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (*.f64 z z)) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (pow.f64 z -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (pow.f64 z -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (pow.f64 z -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (pow.f64 z -2))) (cbrt.f64 (/.f64 (*.f64 y y) (pow.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 y y) (pow.f64 z 4))) (cbrt.f64 (*.f64 y (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 z (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z -2) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y z) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) z) (/.f64 (cbrt.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 z 4))) (/.f64 y (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 z 4))) (cbrt.f64 (*.f64 y (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 z 4))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (pow.f64 z -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (pow.f64 z -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 y) z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (/.f64 y z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 z (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 y y) (pow.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 z z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (pow.f64 z -2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 z z) (/.f64 -1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z z) (/.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 z (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 z z) (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y))) 2) (cbrt.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 -1/2 y)) z) (*.f64 (sqrt.f64 (/.f64 -1/2 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (*.f64 (neg.f64 y) (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (/.f64 y z)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 y) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (neg.f64 y)) (*.f64 z (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (/.f64 y z)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 y) z) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 y) 1) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 y) (cbrt.f64 (pow.f64 z 4))) (pow.f64 (cbrt.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 -1/2 y)) z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y (pow.f64 z -2)) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (/.f64 (*.f64 y y) (pow.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 z (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y)))))))) |
| 1× | egg-herbie |
| 705× | times-frac_binary64 |
| 610× | unswap-sqr_binary64 |
| 504× | associate-/r*_binary64 |
| 472× | associate-*l/_binary64 |
| 387× | associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 998 |
| 1 | 368 | 992 |
| 2 | 1428 | 986 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (pow.f64 z 2)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(-.f64 (+.f64 1 (*.f64 y (pow.f64 z -2))) 1) |
(*.f64 y (pow.f64 z -2)) |
(*.f64 (*.f64 y (pow.f64 z -2)) 1) |
(*.f64 1 (*.f64 y (pow.f64 z -2))) |
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 z -2))) (cbrt.f64 (/.f64 (*.f64 y y) (pow.f64 z 4)))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 y y) (pow.f64 z 4))) (cbrt.f64 (*.f64 y (pow.f64 z -2)))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (pow.f64 z -2))) |
(*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) z)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 z -2))) |
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 z (neg.f64 z)))) |
(*.f64 (pow.f64 z -2) y) |
(*.f64 (/.f64 y z) (/.f64 1 z)) |
(*.f64 (/.f64 1 z) (/.f64 y z)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) z) (/.f64 (cbrt.f64 y) z)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 z z))) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 z z))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 z 4))) (/.f64 y (pow.f64 (cbrt.f64 z) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 z 4))) (cbrt.f64 (*.f64 y (pow.f64 z -2)))) |
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 z 4))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) 2))) |
(pow.f64 (*.f64 y (pow.f64 z -2)) 1) |
(pow.f64 (pow.f64 (*.f64 y (pow.f64 z -2)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z -2))) 3) |
(pow.f64 (/.f64 (sqrt.f64 y) z) 2) |
(pow.f64 (/.f64 z (/.f64 y z)) -1) |
(neg.f64 (/.f64 y (*.f64 z (neg.f64 z)))) |
(sqrt.f64 (/.f64 (*.f64 y y) (pow.f64 z 4))) |
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 z -2))) |
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z -2)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 z z) 3))) |
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z -2)))) |
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z -2)))) |
(exp.f64 (log.f64 (*.f64 y (pow.f64 z -2)))) |
(-.f64 (+.f64 1 (*.f64 (*.f64 z z) (/.f64 -1/2 y))) 1) |
(*.f64 (*.f64 z z) (/.f64 -1/2 y)) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y)) 1) |
(*.f64 1 (*.f64 (*.f64 z z) (/.f64 -1/2 y))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y))) 2) (cbrt.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 -1/2 y)) z) (*.f64 (sqrt.f64 (/.f64 -1/2 y)) z)) |
(*.f64 1/2 (/.f64 1 (*.f64 (neg.f64 y) (pow.f64 z -2)))) |
(*.f64 (/.f64 z (/.f64 y z)) -1/2) |
(*.f64 (/.f64 -1/2 y) (*.f64 z z)) |
(*.f64 (/.f64 -1/2 (neg.f64 y)) (*.f64 z (neg.f64 z))) |
(*.f64 (/.f64 -1/2 (/.f64 y z)) z) |
(*.f64 (*.f64 (/.f64 -1/2 y) z) z) |
(*.f64 (*.f64 (/.f64 -1/2 y) 1) (*.f64 z z)) |
(*.f64 (*.f64 (/.f64 -1/2 y) (cbrt.f64 (pow.f64 z 4))) (pow.f64 (cbrt.f64 z) 2)) |
(pow.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y)) 1) |
(pow.f64 (pow.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y))) 3) |
(pow.f64 (*.f64 (sqrt.f64 (/.f64 -1/2 y)) z) 2) |
(pow.f64 (*.f64 (*.f64 y (pow.f64 z -2)) -2) -1) |
(sqrt.f64 (/.f64 1/4 (/.f64 (*.f64 y y) (pow.f64 z 4)))) |
(log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 z (/.f64 y z)))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y)))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y)))) |
(exp.f64 (log.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y)))) |
| Outputs |
|---|
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(/.f64 y (pow.f64 z 2)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 -1/2 (/.f64 (pow.f64 z 2) y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(-.f64 (+.f64 1 (*.f64 y (pow.f64 z -2))) 1) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(*.f64 y (pow.f64 z -2)) |
(/.f64 y (*.f64 z z)) |
(*.f64 (*.f64 y (pow.f64 z -2)) 1) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(*.f64 1 (*.f64 y (pow.f64 z -2))) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 z -2))) (cbrt.f64 (/.f64 (*.f64 y y) (pow.f64 z 4)))) |
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 z -2))) (cbrt.f64 (/.f64 y (/.f64 (pow.f64 z 4) y)))) |
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 z -2))) (cbrt.f64 (*.f64 (/.f64 y (pow.f64 z 4)) y))) |
(*.f64 (cbrt.f64 (/.f64 y (*.f64 z z))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 y) z) 4))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 y y) (pow.f64 z 4))) (cbrt.f64 (*.f64 y (pow.f64 z -2)))) |
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 z -2))) (cbrt.f64 (/.f64 y (/.f64 (pow.f64 z 4) y)))) |
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 z -2))) (cbrt.f64 (*.f64 (/.f64 y (pow.f64 z 4)) y))) |
(*.f64 (cbrt.f64 (/.f64 y (*.f64 z z))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 y) z) 4))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (pow.f64 z -2))) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) z)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 z -2))) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 z (neg.f64 z)))) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(*.f64 (pow.f64 z -2) y) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(*.f64 (/.f64 y z) (/.f64 1 z)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(*.f64 (/.f64 1 z) (/.f64 y z)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) z) (/.f64 (cbrt.f64 y) z)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 z z))) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 z z))) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 z 4))) (/.f64 y (pow.f64 (cbrt.f64 z) 2))) |
(/.f64 (/.f64 y (cbrt.f64 (pow.f64 z 4))) (pow.f64 (cbrt.f64 z) 2)) |
(/.f64 y (*.f64 (cbrt.f64 (pow.f64 z 4)) (pow.f64 (cbrt.f64 z) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 z 4))) (cbrt.f64 (*.f64 y (pow.f64 z -2)))) |
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 z -2))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 z 4)))) |
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 (pow.f64 z 4)) (cbrt.f64 (*.f64 y (pow.f64 z -2))))) |
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 (pow.f64 z 4)) (cbrt.f64 (/.f64 y (*.f64 z z))))) |
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 z 4))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) 2))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 z 4))) (/.f64 y (pow.f64 (cbrt.f64 z) 2))) |
(/.f64 (/.f64 y (cbrt.f64 (pow.f64 z 4))) (pow.f64 (cbrt.f64 z) 2)) |
(/.f64 y (*.f64 (cbrt.f64 (pow.f64 z 4)) (pow.f64 (cbrt.f64 z) 2))) |
(pow.f64 (*.f64 y (pow.f64 z -2)) 1) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(pow.f64 (pow.f64 (*.f64 y (pow.f64 z -2)) 3) 1/3) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 z -2))) 3) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(pow.f64 (/.f64 (sqrt.f64 y) z) 2) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(pow.f64 (/.f64 z (/.f64 y z)) -1) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(neg.f64 (/.f64 y (*.f64 z (neg.f64 z)))) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(sqrt.f64 (/.f64 (*.f64 y y) (pow.f64 z 4))) |
(sqrt.f64 (/.f64 y (/.f64 (pow.f64 z 4) y))) |
(sqrt.f64 (*.f64 (/.f64 y (pow.f64 z 4)) y)) |
(fabs.f64 (/.f64 y (*.f64 z z))) |
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 z -2))) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 z -2)) 3)) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 z z) 3))) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 z -2)))) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 z -2)))) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(exp.f64 (log.f64 (*.f64 y (pow.f64 z -2)))) |
(/.f64 y (*.f64 z z)) |
(*.f64 y (pow.f64 z -2)) |
(-.f64 (+.f64 1 (*.f64 (*.f64 z z) (/.f64 -1/2 y))) 1) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 (*.f64 z z) (/.f64 -1/2 y)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 -1/2 (/.f64 z (/.f64 y z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y)) 1) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 1 (*.f64 (*.f64 z z) (/.f64 -1/2 y))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y))) 2)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y))) 2) (cbrt.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y)))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 -1/2 y)) z) (*.f64 (sqrt.f64 (/.f64 -1/2 y)) z)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 1/2 (/.f64 1 (*.f64 (neg.f64 y) (pow.f64 z -2)))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 (/.f64 z (/.f64 y z)) -1/2) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 (/.f64 -1/2 y) (*.f64 z z)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 (/.f64 -1/2 (neg.f64 y)) (*.f64 z (neg.f64 z))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 (/.f64 -1/2 (/.f64 y z)) z) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 (*.f64 (/.f64 -1/2 y) z) z) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 (*.f64 (/.f64 -1/2 y) 1) (*.f64 z z)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(*.f64 (*.f64 (/.f64 -1/2 y) (cbrt.f64 (pow.f64 z 4))) (pow.f64 (cbrt.f64 z) 2)) |
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 (pow.f64 z 4)) (/.f64 -1/2 y))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 -1/2 y)) (cbrt.f64 (pow.f64 z 4))) |
(*.f64 (/.f64 -1/2 y) (*.f64 (cbrt.f64 (pow.f64 z 4)) (pow.f64 (cbrt.f64 z) 2))) |
(pow.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y)) 1) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(pow.f64 (pow.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y)) 3) 1/3) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y))) 3) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(pow.f64 (*.f64 (sqrt.f64 (/.f64 -1/2 y)) z) 2) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(pow.f64 (*.f64 (*.f64 y (pow.f64 z -2)) -2) -1) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(sqrt.f64 (/.f64 1/4 (/.f64 (*.f64 y y) (pow.f64 z 4)))) |
(sqrt.f64 (/.f64 1/4 (/.f64 y (/.f64 (pow.f64 z 4) y)))) |
(sqrt.f64 (*.f64 (/.f64 1/4 y) (/.f64 (pow.f64 z 4) y))) |
(sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 (sqrt.f64 y) z) 4))) |
(log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 z (/.f64 y z)))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y)) 3)) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y)))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y)))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
(exp.f64 (log.f64 (*.f64 (*.f64 z z) (/.f64 -1/2 y)))) |
(*.f64 -1/2 (/.f64 (*.f64 z z) y)) |
(/.f64 z (/.f64 (/.f64 y z) -1/2)) |
(*.f64 z (*.f64 -1/2 (/.f64 z y))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (/.f64 1/2 (/.f64 y (*.f64 x x))) |
| ✓ | 6.9b | (/.f64 y (*.f64 x x)) |
Compiled 21 to 8 computations (61.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 y (*.f64 x x)) |
| 0.0ms | y | @ | -inf | (/.f64 y (*.f64 x x)) |
| 0.0ms | y | @ | inf | (/.f64 y (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 y (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (/.f64 1/2 (/.f64 y (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 810× | pow1_binary64 |
| 758× | add-log-exp_binary64 |
| 758× | log1p-expm1-u_binary64 |
| 758× | expm1-log1p-u_binary64 |
| 741× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 156 | 17 |
| 2 | 2099 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (*.f64 x x)) |
(/.f64 1/2 (/.f64 y (*.f64 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (pow.f64 x -2))) (cbrt.f64 (/.f64 (*.f64 y y) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 y y) (pow.f64 x 4))) (cbrt.f64 (*.f64 y (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 y (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 y (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 y) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 y y) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (pow.f64 x -2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 x (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 2) (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 1/2 y)) x) (*.f64 (sqrt.f64 (/.f64 1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (*.f64 y (neg.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 y x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 y)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 y) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 y) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 y) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 1/2 y)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 1/2 (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (/.f64 (*.f64 y y) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))))))) |
| 1× | egg-herbie |
| 739× | times-frac_binary64 |
| 572× | unswap-sqr_binary64 |
| 474× | associate-/r*_binary64 |
| 423× | fma-neg_binary64 |
| 410× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 144 | 998 |
| 1 | 371 | 992 |
| 2 | 1385 | 986 |
| 3 | 7949 | 986 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (pow.f64 x 2)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(-.f64 (+.f64 1 (*.f64 y (pow.f64 x -2))) 1) |
(*.f64 y (pow.f64 x -2)) |
(*.f64 (*.f64 y (pow.f64 x -2)) 1) |
(*.f64 1 (*.f64 y (pow.f64 x -2))) |
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 x -2))) (cbrt.f64 (/.f64 (*.f64 y y) (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 y y) (pow.f64 x 4))) (cbrt.f64 (*.f64 y (pow.f64 x -2)))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (pow.f64 x -2))) |
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 x -2))) |
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 x (neg.f64 x)))) |
(*.f64 (pow.f64 x -2) y) |
(*.f64 (/.f64 y x) (/.f64 1 x)) |
(*.f64 (/.f64 1 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 x x))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 y (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 y (pow.f64 x -2)))) |
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) 2))) |
(pow.f64 (*.f64 y (pow.f64 x -2)) 1) |
(pow.f64 (pow.f64 (*.f64 y (pow.f64 x -2)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 x -2))) 3) |
(pow.f64 (/.f64 (sqrt.f64 y) x) 2) |
(pow.f64 (/.f64 x (/.f64 y x)) -1) |
(neg.f64 (/.f64 y (*.f64 x (neg.f64 x)))) |
(sqrt.f64 (/.f64 (*.f64 y y) (pow.f64 x 4))) |
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 x -2))) |
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 x -2)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 x x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 x -2)))) |
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 x -2)))) |
(exp.f64 (log.f64 (*.f64 y (pow.f64 x -2)))) |
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 1) |
(*.f64 (*.f64 x x) (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 1) |
(*.f64 1 (*.f64 (*.f64 x x) (/.f64 1/2 y))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 2) (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1/2 y)) x) (*.f64 (sqrt.f64 (/.f64 1/2 y)) x)) |
(*.f64 -1/2 (/.f64 1 (*.f64 y (neg.f64 (pow.f64 x -2))))) |
(*.f64 (/.f64 x (/.f64 y x)) 1/2) |
(*.f64 (/.f64 1/2 y) (*.f64 x x)) |
(*.f64 (/.f64 1/2 (neg.f64 y)) (*.f64 x (neg.f64 x))) |
(*.f64 (/.f64 1/2 (/.f64 y x)) x) |
(*.f64 (*.f64 (/.f64 1/2 y) x) x) |
(*.f64 (*.f64 (/.f64 1/2 y) 1) (*.f64 x x)) |
(*.f64 (*.f64 (/.f64 1/2 y) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) |
(pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 1) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 3) |
(pow.f64 (*.f64 (sqrt.f64 (/.f64 1/2 y)) x) 2) |
(pow.f64 (/.f64 y (*.f64 1/2 (*.f64 x x))) -1) |
(sqrt.f64 (/.f64 1/4 (/.f64 (*.f64 y y) (pow.f64 x 4)))) |
(log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x (/.f64 y x)))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))) |
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))) |
| Outputs |
|---|
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(/.f64 y (pow.f64 x 2)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(-.f64 (+.f64 1 (*.f64 y (pow.f64 x -2))) 1) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(*.f64 y (pow.f64 x -2)) |
(/.f64 y (*.f64 x x)) |
(*.f64 (*.f64 y (pow.f64 x -2)) 1) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(*.f64 1 (*.f64 y (pow.f64 x -2))) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 x -2))) (cbrt.f64 (/.f64 (*.f64 y y) (pow.f64 x 4)))) |
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 x -2))) (cbrt.f64 (/.f64 y (/.f64 (pow.f64 x 4) y)))) |
(*.f64 (cbrt.f64 (/.f64 y (*.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 y) x) 4))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 y y) (pow.f64 x 4))) (cbrt.f64 (*.f64 y (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 x -2))) (cbrt.f64 (/.f64 y (/.f64 (pow.f64 x 4) y)))) |
(*.f64 (cbrt.f64 (/.f64 y (*.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 y) x) 4))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (pow.f64 x -2))) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) x)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (pow.f64 x -2))) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(*.f64 (neg.f64 y) (/.f64 1 (*.f64 x (neg.f64 x)))) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(*.f64 (pow.f64 x -2) y) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(*.f64 (/.f64 y x) (/.f64 1 x)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(*.f64 (/.f64 1 x) (/.f64 y x)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) x)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 x x))) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 x x))) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 y (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 y (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 y (pow.f64 x -2)))) |
(*.f64 (cbrt.f64 (*.f64 y (pow.f64 x -2))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 x 4)))) |
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 y (pow.f64 x -2))))) |
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (/.f64 y (*.f64 x x))))) |
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 y (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4))) |
(/.f64 y (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(pow.f64 (*.f64 y (pow.f64 x -2)) 1) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(pow.f64 (pow.f64 (*.f64 y (pow.f64 x -2)) 3) 1/3) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(pow.f64 (cbrt.f64 (*.f64 y (pow.f64 x -2))) 3) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(pow.f64 (/.f64 (sqrt.f64 y) x) 2) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(pow.f64 (/.f64 x (/.f64 y x)) -1) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(neg.f64 (/.f64 y (*.f64 x (neg.f64 x)))) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(sqrt.f64 (/.f64 (*.f64 y y) (pow.f64 x 4))) |
(sqrt.f64 (/.f64 y (/.f64 (pow.f64 x 4) y))) |
(fabs.f64 (/.f64 y (*.f64 x x))) |
(log.f64 (pow.f64 (exp.f64 y) (pow.f64 x -2))) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(cbrt.f64 (pow.f64 (*.f64 y (pow.f64 x -2)) 3)) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 x x) 3))) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(expm1.f64 (log1p.f64 (*.f64 y (pow.f64 x -2)))) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(log1p.f64 (expm1.f64 (*.f64 y (pow.f64 x -2)))) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(exp.f64 (log.f64 (*.f64 y (pow.f64 x -2)))) |
(/.f64 y (*.f64 x x)) |
(*.f64 y (pow.f64 x -2)) |
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 1) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 (*.f64 x x) (/.f64 1/2 y)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 1) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 1 (*.f64 (*.f64 x x) (/.f64 1/2 y))) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 2)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 2) (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1/2 y)) x) (*.f64 (sqrt.f64 (/.f64 1/2 y)) x)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 -1/2 (/.f64 1 (*.f64 y (neg.f64 (pow.f64 x -2))))) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 (/.f64 x (/.f64 y x)) 1/2) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 (/.f64 1/2 y) (*.f64 x x)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 (/.f64 1/2 (neg.f64 y)) (*.f64 x (neg.f64 x))) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 (/.f64 1/2 (/.f64 y x)) x) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 (*.f64 (/.f64 1/2 y) x) x) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 (*.f64 (/.f64 1/2 y) 1) (*.f64 x x)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(*.f64 (*.f64 (/.f64 1/2 y) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 1/2 y) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 1/2 (/.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) y)) |
(pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 1) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 3) 1/3) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y))) 3) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(pow.f64 (*.f64 (sqrt.f64 (/.f64 1/2 y)) x) 2) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(pow.f64 (/.f64 y (*.f64 1/2 (*.f64 x x))) -1) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(sqrt.f64 (/.f64 1/4 (/.f64 (*.f64 y y) (pow.f64 x 4)))) |
(sqrt.f64 (*.f64 (/.f64 1/4 (*.f64 y y)) (pow.f64 x 4))) |
(sqrt.f64 (*.f64 (pow.f64 x 4) (/.f64 1/4 (*.f64 y y)))) |
(sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 (sqrt.f64 y) x) 4))) |
(log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x (/.f64 y x)))) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)) 3)) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (/.f64 1/2 y)))) |
(*.f64 x (/.f64 (*.f64 1/2 x) y)) |
(*.f64 x (/.f64 1/2 (/.f64 y x))) |
(/.f64 x (*.f64 2 (/.f64 y x))) |
Compiled 3689 to 1960 computations (46.9% saved)
13 alts after pruning (2 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 310 | 1 | 311 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 10 | 10 |
| Total | 311 | 13 | 324 |
| Status | Error | Program |
|---|---|---|
| ✓ | 48.2b | (/.f64 (*.f64 y y) (*.f64 y 2)) |
| ✓ | 47.8b | (/.f64 1/2 (/.f64 y (*.f64 x x))) |
| 45.6b | (/.f64 1/2 (*.f64 (/.f64 y x) (/.f64 1 x))) | |
| ✓ | 56.0b | (/.f64 -1/2 (/.f64 y (*.f64 z z))) |
| 50.9b | (*.f64 (/.f64 (+.f64 z x) (sqrt.f64 (+.f64 y y))) (/.f64 (-.f64 x z) (sqrt.f64 (+.f64 y y)))) | |
| ✓ | 36.2b | (*.f64 (/.f64 (+.f64 x z) 2) (/.f64 (-.f64 x z) y)) |
| ✓ | 53.3b | (*.f64 (/.f64 z (/.f64 y z)) -1/2) |
| ✓ | 53.3b | (*.f64 (/.f64 z (/.f64 y -1/2)) z) |
| ✓ | 45.6b | (*.f64 (/.f64 x (*.f64 y 2)) x) |
| ✓ | 45.6b | (*.f64 1/2 (/.f64 x (/.f64 y x))) |
| ✓ | 27.0b | (*.f64 1/2 y) |
| ✓ | 16.8b | (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) |
| ✓ | 10.4b | (*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) |
Compiled 147 to 99 computations (32.7% saved)
| Inputs |
|---|
(*.f64 1/2 y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 (/.f64 x (*.f64 y 2)) x) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 (/.f64 z (/.f64 y z)) -1/2) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(/.f64 1/2 (/.f64 y (*.f64 x x))) |
(/.f64 (*.f64 -1/2 (*.f64 z z)) y) |
(/.f64 (*.f64 x x) (*.f64 y 2)) |
(/.f64 (*.f64 y y) (*.f64 y 2)) |
(*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) |
(/.f64 1/2 (*.f64 (/.f64 y x) (/.f64 1 x))) |
(/.f64 (/.f64 (*.f64 x 1/2) y) (/.f64 1 x)) |
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) |
(*.f64 -1/2 (-.f64 (/.f64 (*.f64 x (neg.f64 x)) y) y)) |
(*.f64 -1/2 (-.f64 (*.f64 (+.f64 x z) (/.f64 z y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 z x) (/.f64 y (-.f64 x z)))) |
(*.f64 (/.f64 (+.f64 x z) 2) (/.f64 (-.f64 x z) y)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y 2)) |
(*.f64 -1/2 (-.f64 (*.f64 (+.f64 x z) (/.f64 (neg.f64 x) y)) y)) |
(*.f64 -1/2 (-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) y)) |
(*.f64 -1/2 (-.f64 (/.f64 1 (/.f64 y (-.f64 (*.f64 z z) (*.f64 x x)))) y)) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
(*.f64 (/.f64 (+.f64 z x) (sqrt.f64 (+.f64 y y))) (/.f64 (-.f64 x z) (sqrt.f64 (+.f64 y y)))) |
(*.f64 -1/2 (-.f64 (*.f64 (+.f64 x z) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 z x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 z x) y)))) y)) |
| Outputs |
|---|
(*.f64 -1/2 (-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) y)) |
6 calls:
| 27.0ms | x |
| 12.0ms | y |
| 12.0ms | z |
| 9.0ms | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
| 8.0ms | (*.f64 x x) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | z |
| 0.1b | 1 | (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y 2)) |
| 0.1b | 1 | (*.f64 x x) |
| 0.1b | 1 | (*.f64 z z) |
Compiled 300 to 153 computations (49% saved)
| Inputs |
|---|
(*.f64 1/2 y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 (/.f64 x (*.f64 y 2)) x) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 (/.f64 z (/.f64 y z)) -1/2) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(/.f64 1/2 (/.f64 y (*.f64 x x))) |
(/.f64 (*.f64 -1/2 (*.f64 z z)) y) |
(/.f64 (*.f64 x x) (*.f64 y 2)) |
(/.f64 (*.f64 y y) (*.f64 y 2)) |
(*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) |
(/.f64 1/2 (*.f64 (/.f64 y x) (/.f64 1 x))) |
(/.f64 (/.f64 (*.f64 x 1/2) y) (/.f64 1 x)) |
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) |
(*.f64 -1/2 (-.f64 (/.f64 (*.f64 x (neg.f64 x)) y) y)) |
(*.f64 -1/2 (-.f64 (*.f64 (+.f64 x z) (/.f64 z y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 z x) (/.f64 y (-.f64 x z)))) |
(*.f64 (/.f64 (+.f64 x z) 2) (/.f64 (-.f64 x z) y)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y 2)) |
(*.f64 -1/2 (-.f64 (*.f64 (+.f64 x z) (/.f64 (neg.f64 x) y)) y)) |
| Outputs |
|---|
(*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) |
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) |
(*.f64 -1/2 (-.f64 (*.f64 (+.f64 x z) (/.f64 z y)) y)) |
5 calls:
| 46.0ms | y |
| 36.0ms | z |
| 34.0ms | x |
| 11.0ms | (*.f64 z z) |
| 11.0ms | (*.f64 x x) |
| Error | Segments | Branch |
|---|---|---|
| 5.2b | 3 | x |
| 6.4b | 4 | y |
| 3.4b | 3 | z |
| 5.5b | 2 | (*.f64 x x) |
| 3.4b | 2 | (*.f64 z z) |
Compiled 196 to 106 computations (45.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 24911741275406204.0 | 4.4413025598912e+20 |
| 18.0ms | -1.0073915159637552e+24 | -658140455335911800.0 |
| 30.0ms | 272× | body | 256 | valid |
| 1.0ms | 6× | body | 256 | infinite |
Compiled 499 to 347 computations (30.5% saved)
| Inputs |
|---|
(*.f64 1/2 y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 (/.f64 x (*.f64 y 2)) x) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 (/.f64 z (/.f64 y z)) -1/2) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(/.f64 1/2 (/.f64 y (*.f64 x x))) |
(/.f64 (*.f64 -1/2 (*.f64 z z)) y) |
(/.f64 (*.f64 x x) (*.f64 y 2)) |
(/.f64 (*.f64 y y) (*.f64 y 2)) |
(*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) |
(/.f64 1/2 (*.f64 (/.f64 y x) (/.f64 1 x))) |
(/.f64 (/.f64 (*.f64 x 1/2) y) (/.f64 1 x)) |
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) |
(*.f64 -1/2 (-.f64 (/.f64 (*.f64 x (neg.f64 x)) y) y)) |
| Outputs |
|---|
(*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) |
(*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) |
5 calls:
| 29.0ms | z |
| 27.0ms | x |
| 21.0ms | y |
| 9.0ms | (*.f64 x x) |
| 8.0ms | (*.f64 z z) |
| Error | Segments | Branch |
|---|---|---|
| 5.2b | 3 | x |
| 8.2b | 3 | y |
| 3.4b | 3 | z |
| 5.5b | 2 | (*.f64 x x) |
| 3.4b | 2 | (*.f64 z z) |
Compiled 140 to 81 computations (42.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.205948533727771e+32 | 1.1668732686307018e+34 |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
(*.f64 1/2 y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 (/.f64 x (*.f64 y 2)) x) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 (/.f64 z (/.f64 y z)) -1/2) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(/.f64 1/2 (/.f64 y (*.f64 x x))) |
(/.f64 (*.f64 -1/2 (*.f64 z z)) y) |
(/.f64 (*.f64 x x) (*.f64 y 2)) |
(/.f64 (*.f64 y y) (*.f64 y 2)) |
(*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) |
(/.f64 1/2 (*.f64 (/.f64 y x) (/.f64 1 x))) |
(/.f64 (/.f64 (*.f64 x 1/2) y) (/.f64 1 x)) |
| Outputs |
|---|
(*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) |
(*.f64 (/.f64 x (*.f64 y 2)) x) |
(*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) |
5 calls:
| 32.0ms | x |
| 20.0ms | y |
| 19.0ms | z |
| 12.0ms | (*.f64 x x) |
| 4.0ms | (*.f64 z z) |
| Error | Segments | Branch |
|---|---|---|
| 12.6b | 5 | x |
| 11.3b | 3 | y |
| 15.4b | 3 | z |
| 13.2b | 3 | (*.f64 x x) |
| 16.8b | 1 | (*.f64 z z) |
Compiled 120 to 70 computations (41.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 7.604061503914714e-90 | 2.3561886119762378e-87 |
| 40.0ms | -4.885145615935935e-62 | -2.200776707453275e-68 |
| 29.0ms | 272× | body | 256 | valid |
| 8.0ms | 77× | body | 256 | infinite |
Compiled 432 to 305 computations (29.4% saved)
| Inputs |
|---|
(*.f64 1/2 y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 (/.f64 x (*.f64 y 2)) x) |
(*.f64 (/.f64 z (/.f64 y -1/2)) z) |
(*.f64 (/.f64 z (/.f64 y z)) -1/2) |
(/.f64 -1/2 (/.f64 y (*.f64 z z))) |
(/.f64 1/2 (/.f64 y (*.f64 x x))) |
(/.f64 (*.f64 -1/2 (*.f64 z z)) y) |
(/.f64 (*.f64 x x) (*.f64 y 2)) |
(/.f64 (*.f64 y y) (*.f64 y 2)) |
| Outputs |
|---|
(*.f64 1/2 y) |
(*.f64 (/.f64 x (*.f64 y 2)) x) |
(*.f64 1/2 y) |
5 calls:
| 46.0ms | z |
| 21.0ms | y |
| 18.0ms | (*.f64 x x) |
| 17.0ms | x |
| 11.0ms | (*.f64 z z) |
| Error | Segments | Branch |
|---|---|---|
| 22.0b | 3 | x |
| 17.9b | 3 | y |
| 24.3b | 5 | z |
| 22.2b | 4 | (*.f64 x x) |
| 25.9b | 3 | (*.f64 z z) |
Compiled 93 to 56 computations (39.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 7.031899856289158e-79 | 7.999477834401191e-79 |
| 44.0ms | -7.106493040635647e-29 | -4.1104250335743054e-42 |
| 41.0ms | 192× | body | 256 | valid |
| 5.0ms | 52× | body | 256 | infinite |
Compiled 240 to 184 computations (23.3% saved)
Total -44.1b remaining (-246.6%)
Threshold costs -44.1b (-246.6%)
| Inputs |
|---|
(*.f64 1/2 y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
| Outputs |
|---|
(*.f64 1/2 y) |
(*.f64 1/2 (/.f64 x (/.f64 y x))) |
(*.f64 1/2 y) |
3 calls:
| 29.0ms | y |
| 8.0ms | x |
| 7.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 22.0b | 3 | x |
| 17.9b | 3 | y |
| 25.5b | 3 | z |
Compiled 25 to 18 computations (28% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 7.031899856289158e-79 | 7.999477834401191e-79 |
| 26.0ms | -7.106493040635647e-29 | -4.1104250335743054e-42 |
| 21.0ms | 192× | body | 256 | valid |
| 4.0ms | 35× | body | 256 | infinite |
Compiled 240 to 184 computations (23.3% saved)
| 1× | egg-herbie |
| 19× | *-commutative_binary64 |
| 13× | +-commutative_binary64 |
| 11× | sub-neg_binary64 |
| 7× | neg-sub0_binary64 |
| 7× | neg-mul-1_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 224 |
| 1 | 86 | 224 |
| 2 | 103 | 224 |
| 3 | 121 | 220 |
| 4 | 134 | 220 |
| 5 | 138 | 220 |
| 6 | 139 | 220 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1/2 (-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) y)) |
(if (<=.f64 z -570000000000000000000) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) (if (<=.f64 z 66000000000000000) (*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) (*.f64 -1/2 (-.f64 (*.f64 (+.f64 x z) (/.f64 z y)) y)))) |
(if (<=.f64 (*.f64 z z) 999999999999999945575230987042816) (*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y))) |
(if (<=.f64 y -5463756259384863/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) (if (<=.f64 y 8829969671561775/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (*.f64 (/.f64 x (*.f64 y 2)) x) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)))) |
(if (<=.f64 y -5172172450422375/191561942608236107294793378393788647952342390272950272) (*.f64 1/2 y) (if (<=.f64 y 750932942315945/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512) (*.f64 (/.f64 x (*.f64 y 2)) x) (*.f64 1/2 y))) |
(if (<=.f64 y -4442964977485945/2923003274661805836407369665432566039311865085952) (*.f64 1/2 y) (if (<=.f64 y 6257774519299541/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) (*.f64 1/2 (/.f64 x (/.f64 y x))) (*.f64 1/2 y))) |
(*.f64 1/2 y) |
| Outputs |
|---|
(*.f64 -1/2 (-.f64 (*.f64 (+.f64 x z) (/.f64 (-.f64 z x) y)) y)) |
(if (<=.f64 z -570000000000000000000) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) (if (<=.f64 z 66000000000000000) (*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) (*.f64 -1/2 (-.f64 (*.f64 (+.f64 x z) (/.f64 z y)) y)))) |
(if (<=.f64 z -570000000000000000000) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) (if (<=.f64 z 66000000000000000) (*.f64 1/2 (+.f64 y (*.f64 x (/.f64 x y)))) (*.f64 -1/2 (-.f64 (*.f64 (+.f64 x z) (/.f64 z y)) y)))) |
(if (<=.f64 (*.f64 z z) 999999999999999945575230987042816) (*.f64 -1/2 (-.f64 (*.f64 (/.f64 x y) (neg.f64 x)) y)) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y))) |
(if (<=.f64 (*.f64 z z) 999999999999999945575230987042816) (*.f64 1/2 (+.f64 y (*.f64 x (/.f64 x y)))) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y))) |
(if (<=.f64 y -5463756259384863/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) (if (<=.f64 y 8829969671561775/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (*.f64 (/.f64 x (*.f64 y 2)) x) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)))) |
(if (<=.f64 y -5463756259384863/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)) (if (<=.f64 y 8829969671561775/1146749307995035755805410447651043470398282494584140561868794419693461438044242404035009276555062843277312) (*.f64 x (/.f64 x (*.f64 y 2))) (*.f64 -1/2 (-.f64 (/.f64 z (/.f64 y z)) y)))) |
(if (<=.f64 y -5172172450422375/191561942608236107294793378393788647952342390272950272) (*.f64 1/2 y) (if (<=.f64 y 750932942315945/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512) (*.f64 (/.f64 x (*.f64 y 2)) x) (*.f64 1/2 y))) |
(if (<=.f64 y -5172172450422375/191561942608236107294793378393788647952342390272950272) (*.f64 y 1/2) (if (<=.f64 y 750932942315945/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512) (*.f64 x (/.f64 x (*.f64 y 2))) (*.f64 y 1/2))) |
(if (<=.f64 y -4442964977485945/2923003274661805836407369665432566039311865085952) (*.f64 1/2 y) (if (<=.f64 y 6257774519299541/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) (*.f64 1/2 (/.f64 x (/.f64 y x))) (*.f64 1/2 y))) |
(if (<=.f64 y -4442964977485945/2923003274661805836407369665432566039311865085952) (*.f64 y 1/2) (if (<=.f64 y 6257774519299541/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) (*.f64 1/2 (/.f64 x (/.f64 y x))) (*.f64 y 1/2))) |
(*.f64 1/2 y) |
(*.f64 y 1/2) |
Compiled 173 to 111 computations (35.8% saved)
| 1× | egg-herbie |
| 803× | div-sub_binary64 |
| 796× | fma-def_binary64 |
| 540× | times-frac_binary64 |
| 406× | distribute-rgt-in_binary64 |
| 344× | sub-neg_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 20 |
| 1 | 27 | 20 |
| 2 | 67 | 20 |
| 3 | 136 | 20 |
| 4 | 320 | 20 |
| 5 | 755 | 20 |
| 6 | 1894 | 19 |
| 7 | 4451 | 19 |
| 1× | node limit |
Compiled 345 to 223 computations (35.4% saved)
Compiled 155 to 83 computations (46.5% saved)
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