Time bar (total: 9.4s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 25% | 74.9% | 0.1% | 7 |
| 31.2% | 68.7% | 0.1% | 8 |
| 56.2% | 43.7% | 0.1% | 9 |
| 60.9% | 39% | 0.1% | 10 |
| 76.5% | 23.4% | 0.1% | 11 |
| 79.2% | 20.7% | 0.1% | 12 |
Compiled 12 to 8 computations (33.3% saved)
| 1.6s | 8256× | body | 256 | valid |
| 0.0ms | 1× | body | 256 | invalid |
| 2× | egg-herbie |
| 609× | cancel-sign-sub-inv_binary64 |
| 398× | associate-*l/_binary64 |
| 335× | associate-*l*_binary64 |
| 324× | distribute-rgt-out--_binary64 |
| 304× | associate-*r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 1 | 35 | 26 |
| 2 | 89 | 20 |
| 3 | 201 | 20 |
| 4 | 402 | 20 |
| 5 | 1096 | 20 |
| 6 | 5202 | 20 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
(/.f64 (-.f64 y x) (*.f64 (*.f64 y 2) x)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
(/.f64 (-.f64 x y) (*.f64 x (*.f64 y 2))) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 (-.f64 y x) (*.f64 (*.f64 y 2) x)) |
(/.f64 (-.f64 y x) (*.f64 x (*.f64 y 2))) |
(+.f64 (/.f64 1/2 x) (/.f64 -1/2 y)) |
(-.f64 (/.f64 -1/2 y) (/.f64 -1/2 x)) |
Compiled 13 to 9 computations (30.8% saved)
| 1× | egg-herbie |
| 921× | fma-neg_binary64 |
| 628× | times-frac_binary64 |
| 467× | neg-mul-1_binary64 |
| 305× | *-commutative_binary64 |
| 304× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 19 | 13 |
| 2 | 53 | 10 |
| 3 | 124 | 10 |
| 4 | 256 | 10 |
| 5 | 541 | 10 |
| 6 | 1084 | 10 |
| 7 | 4068 | 10 |
| 8 | 7900 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
(/.f64 (-.f64 x y) (*.f64 x (*.f64 2 y))) |
(/.f64 (-.f64 x y) (*.f64 x (*.f64 y 2))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
Compiled 18 to 12 computations (33.3% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
Compiled 9 to 7 computations (22.2% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
Compiled 18 to 12 computations (33.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
| 1.0ms | y | @ | 0 | (-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
| 0.0ms | x | @ | inf | (-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
| 0.0ms | y | @ | inf | (-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
| 0.0ms | x | @ | -inf | (-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
| 1× | batch-egg-rewrite |
| 709× | prod-diff_binary64 |
| 570× | unpow-prod-down_binary64 |
| 410× | log-prod_binary64 |
| 269× | fma-def_binary64 |
| 233× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 168 | 10 |
| 2 | 2510 | 10 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 141× | fma-def_binary64 |
| 102× | fma-neg_binary64 |
| 46× | cancel-sign-sub-inv_binary64 |
| 24× | sub-neg_binary64 |
| 21× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 204 |
| 1 | 27 | 204 |
| 2 | 43 | 204 |
| 3 | 62 | 204 |
| 4 | 91 | 204 |
| 5 | 140 | 204 |
| 6 | 229 | 204 |
| 7 | 322 | 204 |
| 8 | 400 | 204 |
| 9 | 513 | 204 |
| 10 | 567 | 204 |
| 11 | 573 | 204 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
Compiled 2856 to 2153 computations (24.6% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 151 | 4 | 155 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 151 | 5 | 156 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
| ▶ | 6.1b | (/.f64 (/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x) y) |
| ▶ | 26.8b | (/.f64 1/2 y) |
| ▶ | 0.7b | (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (cbrt.f64 (/.f64 1/2 y)) (/.f64 -1/2 x)) |
| ▶ | 36.6b | (/.f64 -1/2 x) |
Compiled 48 to 37 computations (22.9% saved)
Compiled 7 to 5 computations (28.6% saved)
Compiled 7 to 5 computations (28.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x) |
| ✓ | 5.7b | (/.f64 (/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x) y) |
Compiled 38 to 25 computations (34.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x) |
| 1.0ms | y | @ | -inf | (/.f64 (/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x) y) |
| 1.0ms | y | @ | 0 | (/.f64 (/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x) y) |
| 1.0ms | y | @ | inf | (/.f64 (/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x) y) |
| 1.0ms | x | @ | -inf | (/.f64 (/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x) y) |
| 1× | batch-egg-rewrite |
| 651× | log-prod_binary64 |
| 463× | fma-def_binary64 |
| 298× | pow2_binary64 |
| 239× | fma-neg_binary64 |
| 208× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 221 | 23 |
| 2 | 3470 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x) y) |
(/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 -1/2 y) (*.f64 y x)) (/.f64 (*.f64 -1/2 x) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 -1/2 (/.f64 y x)) y) (/.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (-.f64 y x)) (/.f64 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (-.f64 y x)) (*.f64 (/.f64 1 x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)) 2) (cbrt.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) (*.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)) (sqrt.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 (-.f64 y x)) x) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (fma.f64 -1/2 (/.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 y) (/.f64 (-.f64 y x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (-.f64 y x) 2))) y) (/.f64 (cbrt.f64 (*.f64 -1/2 (-.f64 y x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 (-.f64 y x))) y) (/.f64 (sqrt.f64 (*.f64 -1/2 (-.f64 y x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -1/2 (-.f64 y x)) 1) (/.f64 (/.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) y))))) (#(struct:change #<rule 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1/2) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (fma.f64 -1/2 (/.f64 y x) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 -2 (/.f64 x (-.f64 y x))) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y x) (*.f64 -1/2 (-.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (fma.f64 -1/2 (/.f64 y x) 1/2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (/.f64 y x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -1/2 (/.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (/.f64 y x) 1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/2 (/.f64 y x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (/.f64 y x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 (-.f64 y x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (-.f64 y x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (-.f64 y x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 (/.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) 2) (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (-.f64 y x) 2))) (*.f64 (cbrt.f64 (*.f64 -1/2 (-.f64 y x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) (sqrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/2 (-.f64 y x))) (*.f64 (sqrt.f64 (*.f64 -1/2 (-.f64 y x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (-.f64 y x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 -1/2 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (/.f64 x (cbrt.f64 x))) (/.f64 (-.f64 y x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (*.f64 -1/2 (-.f64 y x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 (-.f64 y x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (*.f64 -1/2 (-.f64 y x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (-.f64 y x) 2))) 1) (/.f64 (cbrt.f64 (*.f64 -1/2 (-.f64 y x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 (-.f64 y x))) 1) (/.f64 (sqrt.f64 (*.f64 -1/2 (-.f64 y x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (-.f64 y x) 2))) (/.f64 x (cbrt.f64 x))) (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 (-.f64 y x))) (/.f64 x (cbrt.f64 x))) (/.f64 (sqrt.f64 (*.f64 -1/2 (-.f64 y x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (-.f64 y x) 2))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 -1/2 (-.f64 y x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 x (-.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 -1/2 (-.f64 y x)) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -2 (/.f64 x (-.f64 y x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 -1/2 (-.f64 y x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (/.f64 y x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 -1/2 (-.f64 y x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 y x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 y) (/.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/2 (/.f64 y x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 y x))) 2) (cbrt.f64 (*.f64 -1/2 (/.f64 y x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 y x))) (sqrt.f64 (*.f64 -1/2 (/.f64 y x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 (/.f64 x (cbrt.f64 x))) (/.f64 y (cbrt.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (*.f64 -1/2 y) (cbrt.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (/.f64 (*.f64 -1/2 y) (sqrt.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y 1) (/.f64 -1/2 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 -1/2 y) 2)) 1) (/.f64 (cbrt.f64 (*.f64 -1/2 y)) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 y)) 1) (/.f64 (sqrt.f64 (*.f64 -1/2 y)) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (/.f64 x (cbrt.f64 x))) (/.f64 -1/2 (cbrt.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 -1/2 y) 2)) (/.f64 x (cbrt.f64 x))) (/.f64 (cbrt.f64 (*.f64 -1/2 y)) (cbrt.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 y)) (/.f64 x (cbrt.f64 x))) (/.f64 (sqrt.f64 (*.f64 -1/2 y)) (cbrt.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 -1/2 (sqrt.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 -1/2 y) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 -1/2 y)) (sqrt.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 y)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (*.f64 -1/2 y)) (sqrt.f64 x)) 1/2))))) |
| 1× | egg-herbie |
| 1364× | fma-neg_binary64 |
| 613× | div-sub_binary64 |
| 516× | fma-def_binary64 |
| 281× | associate-/l/_binary64 |
| 210× | times-frac_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 372 |
| 1 | 35 | 372 |
| 2 | 56 | 372 |
| 3 | 78 | 372 |
| 4 | 121 | 372 |
| 5 | 222 | 372 |
| 6 | 438 | 372 |
| 7 | 682 | 372 |
| 8 | 930 | 372 |
| 9 | 1258 | 372 |
| 10 | 1499 | 372 |
| 11 | 2146 | 372 |
| 12 | 3652 | 372 |
| 13 | 5054 | 372 |
| 14 | 5412 | 372 |
| 15 | 5578 | 372 |
| 16 | 5640 | 372 |
| 17 | 5900 | 372 |
| 18 | 6076 | 372 |
| 19 | 6080 | 372 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
1/2 |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(*.f64 -1/2 (/.f64 y x)) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(*.f64 -1/2 (/.f64 y x)) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(*.f64 -1/2 (/.f64 y x)) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
1/2 |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
1/2 |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
| Outputs |
|---|
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
1/2 |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(fma.f64 y (/.f64 -1/2 x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(fma.f64 y (/.f64 -1/2 x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(fma.f64 y (/.f64 -1/2 x) 1/2) |
(*.f64 -1/2 (/.f64 y x)) |
(/.f64 (*.f64 -1/2 y) x) |
(/.f64 -1/2 (/.f64 x y)) |
(/.f64 y (/.f64 x -1/2)) |
(*.f64 y (/.f64 -1/2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(fma.f64 y (/.f64 -1/2 x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(fma.f64 y (/.f64 -1/2 x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(fma.f64 y (/.f64 -1/2 x) 1/2) |
(*.f64 -1/2 (/.f64 y x)) |
(/.f64 (*.f64 -1/2 y) x) |
(/.f64 -1/2 (/.f64 x y)) |
(/.f64 y (/.f64 x -1/2)) |
(*.f64 y (/.f64 -1/2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(fma.f64 y (/.f64 -1/2 x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(fma.f64 y (/.f64 -1/2 x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(fma.f64 y (/.f64 -1/2 x) 1/2) |
(*.f64 -1/2 (/.f64 y x)) |
(/.f64 (*.f64 -1/2 y) x) |
(/.f64 -1/2 (/.f64 x y)) |
(/.f64 y (/.f64 x -1/2)) |
(*.f64 y (/.f64 -1/2 x)) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(fma.f64 y (/.f64 -1/2 x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(fma.f64 y (/.f64 -1/2 x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(fma.f64 y (/.f64 -1/2 x) 1/2) |
1/2 |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(fma.f64 y (/.f64 -1/2 x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(fma.f64 y (/.f64 -1/2 x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(fma.f64 y (/.f64 -1/2 x) 1/2) |
1/2 |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(fma.f64 y (/.f64 -1/2 x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(fma.f64 y (/.f64 -1/2 x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(fma.f64 y (/.f64 -1/2 x) 1/2) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (cbrt.f64 (/.f64 1/2 y)) (/.f64 -1/2 x)) |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) |
| ✓ | 0.6b | (cbrt.f64 (/.f64 1/2 y)) |
Compiled 37 to 28 computations (24.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (cbrt.f64 (/.f64 1/2 y)) (/.f64 -1/2 x)) |
| 2.0ms | y | @ | inf | (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) |
| 1.0ms | y | @ | 0 | (cbrt.f64 (/.f64 1/2 y)) |
| 1.0ms | y | @ | 0 | (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (cbrt.f64 (/.f64 1/2 y)) (/.f64 -1/2 x)) |
| 1.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) |
| 1× | batch-egg-rewrite |
| 522× | unpow-prod-down_binary64 |
| 430× | log-prod_binary64 |
| 336× | exp-prod_binary64 |
| 261× | pow2_binary64 |
| 259× | pow-prod-down_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 25 |
| 1 | 235 | 25 |
| 2 | 2633 | 25 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (/.f64 1/2 y)) |
(pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (cbrt.f64 (/.f64 1/2 y)) (/.f64 -1/2 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 1/2 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 1/2 y))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 y)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -1/2) (pow.f64 (/.f64 1 (neg.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (pow.f64 (/.f64 1 (cbrt.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)) (cbrt.f64 (cbrt.f64 (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/2 y) 1/6) (pow.f64 (/.f64 1/2 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1/2 y) 4)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 y))) 5) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1/2 y) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (/.f64 1/2 y) 1/6)) (sqrt.f64 (sqrt.f64 (/.f64 1/2 y))))))) (#(struct:change 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1/2 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 y -2)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/2 y) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/2 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/2 y)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 1/2 y)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 1/2 y))))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/2 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 1/2 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (/.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/2 y)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/2 y)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/2 y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 1/2 y))) 1) 1/2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 y)) (cbrt.f64 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (pow.f64 1 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (pow.f64 (*.f64 (/.f64 1 y) (/.f64 1/2 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/4) (pow.f64 (/.f64 1 (cbrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/4) (pow.f64 (/.f64 1 y) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/4) (pow.f64 (/.f64 1 (neg.f64 y)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/4) (pow.f64 (pow.f64 y -2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1/2 y) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1/2 y) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/2 y) 1/6) (sqrt.f64 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/2 y)) (pow.f64 (/.f64 1/2 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 1/2 y)) (cbrt.f64 1/2)) (/.f64 1 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 y))) 5) (cbrt.f64 (cbrt.f64 (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 y) 2/3) (cbrt.f64 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 2/3) (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1/2 y) 4))) 2/3) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 y))) 5) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)) 4) 2/3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 y))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 1/2 y) 5/6) 2/3) (cbrt.f64 (cbrt.f64 (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 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log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/4 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 1/2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/2 y)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 1/2 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 2/3 (log.f64 (/.f64 1/2 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/2 y)) 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/2 y)) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/2 y))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 1/2 y))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 x) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) 2) 3) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/2 (neg.f64 x) (*.f64 y 1/2)) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/2 (neg.f64 x) (*.f64 (neg.f64 y) 1/2)) (*.f64 (neg.f64 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 x (*.f64 (*.f64 y 2) 1/2)) (*.f64 (*.f64 y 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/2 x (*.f64 y -1/2)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/2 x (*.f64 (neg.f64 y) -1/2)) (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 y 2) -1/2)) (*.f64 (*.f64 y 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/2 (*.f64 x -2) y) (*.f64 y (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/2 (*.f64 x -2) (*.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x -2 (*.f64 (*.f64 y 2) 1)) (*.f64 (*.f64 y 2) (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 (/.f64 -1/2 x) 3)) (fma.f64 1/4 (pow.f64 y -2) (-.f64 (/.f64 1/4 (*.f64 x x)) (*.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (pow.f64 y -2)) (/.f64 1/4 (*.f64 x x))) (-.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))) (sqrt.f64 (log.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 y))) (exp.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1/2 y)) (+.f64 1 (expm1.f64 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 y))) (+.f64 1 (expm1.f64 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 x))) (exp.f64 (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -1/2 x)) (+.f64 1 (expm1.f64 (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 x))) (+.f64 1 (expm1.f64 (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 1) 1)))))) |
| 1× | egg-herbie |
| 1859× | sqr-pow_binary64 |
| 1858× | pow-base-1_binary64 |
| 147× | fma-def_binary64 |
| 95× | fma-neg_binary64 |
| 41× | cancel-sign-sub-inv_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 147 |
| 1 | 42 | 114 |
| 2 | 67 | 114 |
| 3 | 92 | 114 |
| 4 | 131 | 114 |
| 5 | 199 | 114 |
| 6 | 287 | 114 |
| 7 | 366 | 114 |
| 8 | 432 | 114 |
| 9 | 541 | 114 |
| 10 | 599 | 114 |
| 11 | 609 | 114 |
| 12 | 613 | 114 |
| 13 | 617 | 114 |
| 14 | 621 | 114 |
| 15 | 625 | 114 |
| 16 | 629 | 114 |
| 17 | 633 | 114 |
| 18 | 637 | 114 |
| 19 | 641 | 114 |
| 20 | 645 | 114 |
| 21 | 649 | 114 |
| 22 | 653 | 114 |
| 23 | 657 | 114 |
| 24 | 661 | 114 |
| 25 | 665 | 114 |
| 26 | 669 | 114 |
| 27 | 673 | 114 |
| 28 | 677 | 114 |
| 29 | 681 | 114 |
| 30 | 685 | 114 |
| 31 | 689 | 114 |
| 32 | 693 | 114 |
| 33 | 697 | 114 |
| 34 | 701 | 114 |
| 35 | 705 | 114 |
| 36 | 709 | 114 |
| 37 | 713 | 114 |
| 38 | 717 | 114 |
| 39 | 721 | 114 |
| 40 | 725 | 114 |
| 41 | 729 | 114 |
| 42 | 733 | 114 |
| 43 | 737 | 114 |
| 44 | 741 | 114 |
| 45 | 745 | 114 |
| 46 | 749 | 114 |
| 47 | 753 | 114 |
| 48 | 757 | 114 |
| 49 | 761 | 114 |
| 50 | 765 | 114 |
| 51 | 769 | 114 |
| 52 | 773 | 114 |
| 53 | 777 | 114 |
| 54 | 781 | 114 |
| 55 | 785 | 114 |
| 56 | 789 | 114 |
| 57 | 793 | 114 |
| 58 | 797 | 114 |
| 59 | 801 | 114 |
| 60 | 805 | 114 |
| 61 | 809 | 114 |
| 62 | 813 | 114 |
| 63 | 817 | 114 |
| 64 | 821 | 114 |
| 65 | 825 | 114 |
| 66 | 829 | 114 |
| 67 | 833 | 114 |
| 68 | 837 | 114 |
| 69 | 841 | 114 |
| 70 | 845 | 114 |
| 71 | 849 | 114 |
| 72 | 853 | 114 |
| 73 | 857 | 114 |
| 74 | 861 | 114 |
| 75 | 865 | 114 |
| 76 | 869 | 114 |
| 77 | 873 | 114 |
| 78 | 877 | 114 |
| 79 | 881 | 114 |
| 80 | 885 | 114 |
| 81 | 889 | 114 |
| 82 | 893 | 114 |
| 83 | 897 | 114 |
| 84 | 901 | 114 |
| 85 | 905 | 114 |
| 86 | 909 | 114 |
| 87 | 913 | 114 |
| 88 | 917 | 114 |
| 89 | 921 | 114 |
| 90 | 925 | 114 |
| 91 | 929 | 114 |
| 92 | 933 | 114 |
| 93 | 937 | 114 |
| 94 | 941 | 114 |
| 95 | 945 | 114 |
| 96 | 949 | 114 |
| 97 | 953 | 114 |
| 98 | 957 | 114 |
| 99 | 961 | 114 |
| 100 | 965 | 114 |
| 101 | 969 | 114 |
| 102 | 973 | 114 |
| 103 | 977 | 114 |
| 104 | 981 | 114 |
| 105 | 985 | 114 |
| 106 | 989 | 114 |
| 107 | 993 | 114 |
| 108 | 997 | 114 |
| 109 | 1001 | 114 |
| 110 | 1005 | 114 |
| 111 | 1009 | 114 |
| 112 | 1013 | 114 |
| 113 | 1017 | 114 |
| 114 | 1021 | 114 |
| 115 | 1025 | 114 |
| 116 | 1029 | 114 |
| 117 | 1033 | 114 |
| 118 | 1037 | 114 |
| 119 | 1041 | 114 |
| 120 | 1045 | 114 |
| 121 | 1049 | 114 |
| 122 | 1053 | 114 |
| 123 | 1057 | 114 |
| 124 | 1061 | 114 |
| 125 | 1065 | 114 |
| 126 | 1069 | 114 |
| 127 | 1073 | 114 |
| 128 | 1077 | 114 |
| 129 | 1081 | 114 |
| 130 | 1085 | 114 |
| 131 | 1089 | 114 |
| 132 | 1093 | 114 |
| 133 | 1097 | 114 |
| 134 | 1101 | 114 |
| 135 | 1105 | 114 |
| 136 | 1109 | 114 |
| 137 | 1113 | 114 |
| 138 | 1117 | 114 |
| 139 | 1121 | 114 |
| 140 | 1125 | 114 |
| 141 | 1129 | 114 |
| 142 | 1133 | 114 |
| 143 | 1137 | 114 |
| 144 | 1141 | 114 |
| 145 | 1145 | 114 |
| 146 | 1149 | 114 |
| 147 | 1153 | 114 |
| 148 | 1157 | 114 |
| 149 | 1161 | 114 |
| 150 | 1165 | 114 |
| 151 | 1169 | 114 |
| 152 | 1173 | 114 |
| 153 | 1177 | 114 |
| 154 | 1181 | 114 |
| 155 | 1185 | 114 |
| 156 | 1189 | 114 |
| 157 | 1193 | 114 |
| 158 | 1197 | 114 |
| 159 | 1201 | 114 |
| 160 | 1205 | 114 |
| 161 | 1209 | 114 |
| 162 | 1213 | 114 |
| 163 | 1217 | 114 |
| 164 | 1221 | 114 |
| 165 | 1225 | 114 |
| 166 | 1229 | 114 |
| 167 | 1233 | 114 |
| 168 | 1237 | 114 |
| 169 | 1241 | 114 |
| 170 | 1245 | 114 |
| 171 | 1249 | 114 |
| 172 | 1253 | 114 |
| 173 | 1257 | 114 |
| 174 | 1261 | 114 |
| 175 | 1265 | 114 |
| 176 | 1269 | 114 |
| 177 | 1273 | 114 |
| 178 | 1277 | 114 |
| 179 | 1281 | 114 |
| 180 | 1285 | 114 |
| 181 | 1289 | 114 |
| 182 | 1293 | 114 |
| 183 | 1297 | 114 |
| 184 | 1301 | 114 |
| 185 | 1305 | 114 |
| 186 | 1309 | 114 |
| 187 | 1313 | 114 |
| 188 | 1317 | 114 |
| 189 | 1321 | 114 |
| 190 | 1325 | 114 |
| 191 | 1329 | 114 |
| 192 | 1333 | 114 |
| 193 | 1337 | 114 |
| 194 | 1341 | 114 |
| 195 | 1345 | 114 |
| 196 | 1349 | 114 |
| 197 | 1353 | 114 |
| 198 | 1357 | 114 |
| 199 | 1361 | 114 |
| 200 | 1365 | 114 |
| 201 | 1369 | 114 |
| 202 | 1373 | 114 |
| 203 | 1377 | 114 |
| 204 | 1381 | 114 |
| 205 | 1385 | 114 |
| 206 | 1389 | 114 |
| 207 | 1393 | 114 |
| 208 | 1397 | 114 |
| 209 | 1401 | 114 |
| 210 | 1405 | 114 |
| 211 | 1409 | 114 |
| 212 | 1413 | 114 |
| 213 | 1417 | 114 |
| 214 | 1421 | 114 |
| 215 | 1425 | 114 |
| 216 | 1429 | 114 |
| 217 | 1433 | 114 |
| 218 | 1437 | 114 |
| 219 | 1441 | 114 |
| 220 | 1445 | 114 |
| 221 | 1449 | 114 |
| 222 | 1453 | 114 |
| 223 | 1457 | 114 |
| 224 | 1461 | 114 |
| 225 | 1465 | 114 |
| 226 | 1469 | 114 |
| 227 | 1473 | 114 |
| 228 | 1477 | 114 |
| 229 | 1481 | 114 |
| 230 | 1485 | 114 |
| 231 | 1489 | 114 |
| 232 | 1493 | 114 |
| 233 | 1497 | 114 |
| 234 | 1501 | 114 |
| 235 | 1505 | 114 |
| 236 | 1509 | 114 |
| 237 | 1513 | 114 |
| 238 | 1517 | 114 |
| 239 | 1521 | 114 |
| 240 | 1525 | 114 |
| 241 | 1529 | 114 |
| 242 | 1533 | 114 |
| 243 | 1537 | 114 |
| 244 | 1541 | 114 |
| 245 | 1545 | 114 |
| 246 | 1549 | 114 |
| 247 | 1553 | 114 |
| 248 | 1557 | 114 |
| 249 | 1561 | 114 |
| 250 | 1565 | 114 |
| 251 | 1569 | 114 |
| 252 | 1573 | 114 |
| 253 | 1577 | 114 |
| 254 | 1581 | 114 |
| 255 | 1585 | 114 |
| 256 | 1589 | 114 |
| 257 | 1593 | 114 |
| 258 | 1597 | 114 |
| 259 | 1601 | 114 |
| 260 | 1605 | 114 |
| 261 | 1609 | 114 |
| 262 | 1613 | 114 |
| 263 | 1617 | 114 |
| 264 | 1621 | 114 |
| 265 | 1625 | 114 |
| 266 | 1629 | 114 |
| 267 | 1633 | 114 |
| 268 | 1637 | 114 |
| 269 | 1641 | 114 |
| 270 | 1645 | 114 |
| 271 | 1649 | 114 |
| 272 | 1653 | 114 |
| 273 | 1657 | 114 |
| 274 | 1661 | 114 |
| 275 | 1665 | 114 |
| 276 | 1669 | 114 |
| 277 | 1673 | 114 |
| 278 | 1677 | 114 |
| 279 | 1681 | 114 |
| 280 | 1685 | 114 |
| 281 | 1689 | 114 |
| 282 | 1693 | 114 |
| 283 | 1697 | 114 |
| 284 | 1701 | 114 |
| 285 | 1705 | 114 |
| 286 | 1709 | 114 |
| 287 | 1713 | 114 |
| 288 | 1717 | 114 |
| 289 | 1721 | 114 |
| 290 | 1725 | 114 |
| 291 | 1729 | 114 |
| 292 | 1733 | 114 |
| 293 | 1737 | 114 |
| 294 | 1741 | 114 |
| 295 | 1745 | 114 |
| 296 | 1749 | 114 |
| 297 | 1753 | 114 |
| 298 | 1757 | 114 |
| 299 | 1761 | 114 |
| 300 | 1765 | 114 |
| 301 | 1769 | 114 |
| 302 | 1773 | 114 |
| 303 | 1777 | 114 |
| 304 | 1781 | 114 |
| 305 | 1785 | 114 |
| 306 | 1789 | 114 |
| 307 | 1793 | 114 |
| 308 | 1797 | 114 |
| 309 | 1801 | 114 |
| 310 | 1805 | 114 |
| 311 | 1809 | 114 |
| 312 | 1813 | 114 |
| 313 | 1817 | 114 |
| 314 | 1821 | 114 |
| 315 | 1825 | 114 |
| 316 | 1829 | 114 |
| 317 | 1833 | 114 |
| 318 | 1837 | 114 |
| 319 | 1841 | 114 |
| 320 | 1845 | 114 |
| 321 | 1849 | 114 |
| 322 | 1853 | 114 |
| 323 | 1857 | 114 |
| 324 | 1861 | 114 |
| 325 | 1865 | 114 |
| 326 | 1869 | 114 |
| 327 | 1873 | 114 |
| 328 | 1877 | 114 |
| 329 | 1881 | 114 |
| 330 | 1885 | 114 |
| 331 | 1889 | 114 |
| 332 | 1893 | 114 |
| 333 | 1897 | 114 |
| 334 | 1901 | 114 |
| 335 | 1905 | 114 |
| 336 | 1909 | 114 |
| 337 | 1913 | 114 |
| 338 | 1917 | 114 |
| 339 | 1921 | 114 |
| 340 | 1925 | 114 |
| 341 | 1929 | 114 |
| 342 | 1933 | 114 |
| 343 | 1937 | 114 |
| 344 | 1941 | 114 |
| 345 | 1945 | 114 |
| 346 | 1949 | 114 |
| 347 | 1953 | 114 |
| 348 | 1957 | 114 |
| 349 | 1961 | 114 |
| 350 | 1965 | 114 |
| 351 | 1969 | 114 |
| 352 | 1973 | 114 |
| 353 | 1977 | 114 |
| 354 | 1981 | 114 |
| 355 | 1985 | 114 |
| 356 | 1989 | 114 |
| 357 | 1993 | 114 |
| 358 | 1997 | 114 |
| 359 | 2001 | 114 |
| 360 | 2005 | 114 |
| 361 | 2009 | 114 |
| 362 | 2013 | 114 |
| 363 | 2017 | 114 |
| 364 | 2021 | 114 |
| 365 | 2025 | 114 |
| 366 | 2029 | 114 |
| 367 | 2033 | 114 |
| 368 | 2037 | 114 |
| 369 | 2041 | 114 |
| 370 | 2045 | 114 |
| 371 | 2049 | 114 |
| 372 | 2053 | 114 |
| 373 | 2057 | 114 |
| 374 | 2061 | 114 |
| 375 | 2065 | 114 |
| 376 | 2069 | 114 |
| 377 | 2073 | 114 |
| 378 | 2077 | 114 |
| 379 | 2081 | 114 |
| 380 | 2085 | 114 |
| 381 | 2089 | 114 |
| 382 | 2093 | 114 |
| 383 | 2097 | 114 |
| 384 | 2101 | 114 |
| 385 | 2105 | 114 |
| 386 | 2109 | 114 |
| 387 | 2113 | 114 |
| 388 | 2117 | 114 |
| 389 | 2121 | 114 |
| 390 | 2125 | 114 |
| 391 | 2129 | 114 |
| 392 | 2133 | 114 |
| 393 | 2137 | 114 |
| 394 | 2141 | 114 |
| 395 | 2145 | 114 |
| 396 | 2149 | 114 |
| 397 | 2153 | 114 |
| 398 | 2157 | 114 |
| 399 | 2161 | 114 |
| 400 | 2165 | 114 |
| 401 | 2169 | 114 |
| 402 | 2173 | 114 |
| 403 | 2177 | 114 |
| 404 | 2181 | 114 |
| 405 | 2185 | 114 |
| 406 | 2189 | 114 |
| 407 | 2193 | 114 |
| 408 | 2197 | 114 |
| 409 | 2201 | 114 |
| 410 | 2205 | 114 |
| 411 | 2209 | 114 |
| 412 | 2213 | 114 |
| 413 | 2217 | 114 |
| 414 | 2221 | 114 |
| 415 | 2225 | 114 |
| 416 | 2229 | 114 |
| 417 | 2233 | 114 |
| 418 | 2237 | 114 |
| 419 | 2241 | 114 |
| 420 | 2245 | 114 |
| 421 | 2249 | 114 |
| 422 | 2253 | 114 |
| 423 | 2257 | 114 |
| 424 | 2261 | 114 |
| 425 | 2265 | 114 |
| 426 | 2269 | 114 |
| 427 | 2273 | 114 |
| 428 | 2277 | 114 |
| 429 | 2281 | 114 |
| 430 | 2285 | 114 |
| 431 | 2289 | 114 |
| 432 | 2293 | 114 |
| 433 | 2297 | 114 |
| 434 | 2301 | 114 |
| 435 | 2305 | 114 |
| 436 | 2309 | 114 |
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| 1198 | 5357 | 114 |
| 1199 | 5361 | 114 |
| 1200 | 5365 | 114 |
| 1201 | 5369 | 114 |
| 1202 | 5373 | 114 |
| 1203 | 5377 | 114 |
| 1204 | 5381 | 114 |
| 1205 | 5385 | 114 |
| 1206 | 5389 | 114 |
| 1207 | 5393 | 114 |
| 1208 | 5397 | 114 |
| 1209 | 5401 | 114 |
| 1210 | 5405 | 114 |
| 1211 | 5409 | 114 |
| 1212 | 5413 | 114 |
| 1213 | 5417 | 114 |
| 1214 | 5421 | 114 |
| 1215 | 5425 | 114 |
| 1216 | 5429 | 114 |
| 1217 | 5433 | 114 |
| 1218 | 5437 | 114 |
| 1219 | 5441 | 114 |
| 1220 | 5445 | 114 |
| 1221 | 5449 | 114 |
| 1222 | 5453 | 114 |
| 1223 | 5457 | 114 |
| 1224 | 5461 | 114 |
| 1225 | 5465 | 114 |
| 1226 | 5469 | 114 |
| 1227 | 5473 | 114 |
| 1228 | 5477 | 114 |
| 1229 | 5481 | 114 |
| 1230 | 5485 | 114 |
| 1231 | 5489 | 114 |
| 1232 | 5493 | 114 |
| 1233 | 5497 | 114 |
| 1234 | 5501 | 114 |
| 1235 | 5505 | 114 |
| 1236 | 5509 | 114 |
| 1237 | 5513 | 114 |
| 1238 | 5517 | 114 |
| 1239 | 5521 | 114 |
| 1240 | 5525 | 114 |
| 1241 | 5529 | 114 |
| 1242 | 5533 | 114 |
| 1243 | 5537 | 114 |
| 1244 | 5541 | 114 |
| 1245 | 5545 | 114 |
| 1246 | 5549 | 114 |
| 1247 | 5553 | 114 |
| 1248 | 5557 | 114 |
| 1249 | 5561 | 114 |
| 1250 | 5565 | 114 |
| 1251 | 5569 | 114 |
| 1252 | 5573 | 114 |
| 1253 | 5577 | 114 |
| 1254 | 5581 | 114 |
| 1255 | 5585 | 114 |
| 1256 | 5589 | 114 |
| 1257 | 5593 | 114 |
| 1258 | 5597 | 114 |
| 1259 | 5601 | 114 |
| 1260 | 5605 | 114 |
| 1261 | 5609 | 114 |
| 1262 | 5613 | 114 |
| 1263 | 5617 | 114 |
| 1264 | 5621 | 114 |
| 1265 | 5625 | 114 |
| 1266 | 5629 | 114 |
| 1267 | 5633 | 114 |
| 1268 | 5637 | 114 |
| 1269 | 5641 | 114 |
| 1270 | 5645 | 114 |
| 1271 | 5649 | 114 |
| 1272 | 5653 | 114 |
| 1273 | 5657 | 114 |
| 1274 | 5661 | 114 |
| 1275 | 5665 | 114 |
| 1276 | 5669 | 114 |
| 1277 | 5673 | 114 |
| 1278 | 5677 | 114 |
| 1279 | 5681 | 114 |
| 1280 | 5685 | 114 |
| 1281 | 5689 | 114 |
| 1282 | 5693 | 114 |
| 1283 | 5697 | 114 |
| 1284 | 5701 | 114 |
| 1285 | 5705 | 114 |
| 1286 | 5709 | 114 |
| 1287 | 5713 | 114 |
| 1288 | 5717 | 114 |
| 1289 | 5721 | 114 |
| 1290 | 5725 | 114 |
| 1291 | 5729 | 114 |
| 1292 | 5733 | 114 |
| 1293 | 5737 | 114 |
| 1294 | 5741 | 114 |
| 1295 | 5745 | 114 |
| 1296 | 5749 | 114 |
| 1297 | 5753 | 114 |
| 1298 | 5757 | 114 |
| 1299 | 5761 | 114 |
| 1300 | 5765 | 114 |
| 1301 | 5769 | 114 |
| 1302 | 5773 | 114 |
| 1303 | 5777 | 114 |
| 1304 | 5781 | 114 |
| 1305 | 5785 | 114 |
| 1306 | 5789 | 114 |
| 1307 | 5793 | 114 |
| 1308 | 5797 | 114 |
| 1309 | 5801 | 114 |
| 1310 | 5805 | 114 |
| 1311 | 5809 | 114 |
| 1312 | 5813 | 114 |
| 1313 | 5817 | 114 |
| 1314 | 5821 | 114 |
| 1315 | 5825 | 114 |
| 1316 | 5829 | 114 |
| 1317 | 5833 | 114 |
| 1318 | 5837 | 114 |
| 1319 | 5841 | 114 |
| 1320 | 5845 | 114 |
| 1321 | 5849 | 114 |
| 1322 | 5853 | 114 |
| 1323 | 5857 | 114 |
| 1324 | 5861 | 114 |
| 1325 | 5865 | 114 |
| 1326 | 5869 | 114 |
| 1327 | 5873 | 114 |
| 1328 | 5877 | 114 |
| 1329 | 5881 | 114 |
| 1330 | 5885 | 114 |
| 1331 | 5889 | 114 |
| 1332 | 5893 | 114 |
| 1333 | 5897 | 114 |
| 1334 | 5901 | 114 |
| 1335 | 5905 | 114 |
| 1336 | 5909 | 114 |
| 1337 | 5913 | 114 |
| 1338 | 5917 | 114 |
| 1339 | 5921 | 114 |
| 1340 | 5925 | 114 |
| 1341 | 5929 | 114 |
| 1342 | 5933 | 114 |
| 1343 | 5937 | 114 |
| 1344 | 5941 | 114 |
| 1345 | 5945 | 114 |
| 1346 | 5949 | 114 |
| 1347 | 5953 | 114 |
| 1348 | 5957 | 114 |
| 1349 | 5961 | 114 |
| 1350 | 5965 | 114 |
| 1351 | 5969 | 114 |
| 1352 | 5973 | 114 |
| 1353 | 5977 | 114 |
| 1354 | 5981 | 114 |
| 1355 | 5985 | 114 |
| 1356 | 5989 | 114 |
| 1357 | 5993 | 114 |
| 1358 | 5997 | 114 |
| 1359 | 6001 | 114 |
| 1360 | 6005 | 114 |
| 1361 | 6009 | 114 |
| 1362 | 6013 | 114 |
| 1363 | 6017 | 114 |
| 1364 | 6021 | 114 |
| 1365 | 6025 | 114 |
| 1366 | 6029 | 114 |
| 1367 | 6033 | 114 |
| 1368 | 6037 | 114 |
| 1369 | 6041 | 114 |
| 1370 | 6045 | 114 |
| 1371 | 6049 | 114 |
| 1372 | 6053 | 114 |
| 1373 | 6057 | 114 |
| 1374 | 6061 | 114 |
| 1375 | 6065 | 114 |
| 1376 | 6069 | 114 |
| 1377 | 6073 | 114 |
| 1378 | 6077 | 114 |
| 1379 | 6081 | 114 |
| 1380 | 6085 | 114 |
| 1381 | 6089 | 114 |
| 1382 | 6093 | 114 |
| 1383 | 6097 | 114 |
| 1384 | 6101 | 114 |
| 1385 | 6105 | 114 |
| 1386 | 6109 | 114 |
| 1387 | 6113 | 114 |
| 1388 | 6117 | 114 |
| 1389 | 6121 | 114 |
| 1390 | 6125 | 114 |
| 1391 | 6129 | 114 |
| 1392 | 6133 | 114 |
| 1393 | 6137 | 114 |
| 1394 | 6141 | 114 |
| 1395 | 6145 | 114 |
| 1396 | 6149 | 114 |
| 1397 | 6153 | 114 |
| 1398 | 6157 | 114 |
| 1399 | 6161 | 114 |
| 1400 | 6165 | 114 |
| 1401 | 6169 | 114 |
| 1402 | 6173 | 114 |
| 1403 | 6177 | 114 |
| 1404 | 6181 | 114 |
| 1405 | 6185 | 114 |
| 1406 | 6189 | 114 |
| 1407 | 6193 | 114 |
| 1408 | 6197 | 114 |
| 1409 | 6201 | 114 |
| 1410 | 6205 | 114 |
| 1411 | 6209 | 114 |
| 1412 | 6213 | 114 |
| 1413 | 6217 | 114 |
| 1414 | 6221 | 114 |
| 1415 | 6225 | 114 |
| 1416 | 6229 | 114 |
| 1417 | 6233 | 114 |
| 1418 | 6237 | 114 |
| 1419 | 6241 | 114 |
| 1420 | 6245 | 114 |
| 1421 | 6249 | 114 |
| 1422 | 6253 | 114 |
| 1423 | 6257 | 114 |
| 1424 | 6261 | 114 |
| 1425 | 6265 | 114 |
| 1426 | 6269 | 114 |
| 1427 | 6273 | 114 |
| 1428 | 6277 | 114 |
| 1429 | 6281 | 114 |
| 1430 | 6285 | 114 |
| 1431 | 6289 | 114 |
| 1432 | 6293 | 114 |
| 1433 | 6297 | 114 |
| 1434 | 6301 | 114 |
| 1435 | 6305 | 114 |
| 1436 | 6309 | 114 |
| 1437 | 6313 | 114 |
| 1438 | 6317 | 114 |
| 1439 | 6321 | 114 |
| 1440 | 6325 | 114 |
| 1441 | 6329 | 114 |
| 1442 | 6333 | 114 |
| 1443 | 6337 | 114 |
| 1444 | 6341 | 114 |
| 1445 | 6345 | 114 |
| 1446 | 6349 | 114 |
| 1447 | 6353 | 114 |
| 1448 | 6357 | 114 |
| 1449 | 6361 | 114 |
| 1450 | 6365 | 114 |
| 1451 | 6369 | 114 |
| 1452 | 6373 | 114 |
| 1453 | 6377 | 114 |
| 1454 | 6381 | 114 |
| 1455 | 6385 | 114 |
| 1456 | 6389 | 114 |
| 1457 | 6393 | 114 |
| 1458 | 6397 | 114 |
| 1459 | 6401 | 114 |
| 1460 | 6405 | 114 |
| 1461 | 6409 | 114 |
| 1462 | 6413 | 114 |
| 1463 | 6417 | 114 |
| 1464 | 6421 | 114 |
| 1465 | 6425 | 114 |
| 1466 | 6429 | 114 |
| 1467 | 6433 | 114 |
| 1468 | 6437 | 114 |
| 1469 | 6441 | 114 |
| 1470 | 6445 | 114 |
| 1471 | 6449 | 114 |
| 1472 | 6453 | 114 |
| 1473 | 6457 | 114 |
| 1474 | 6461 | 114 |
| 1475 | 6465 | 114 |
| 1476 | 6469 | 114 |
| 1477 | 6473 | 114 |
| 1478 | 6477 | 114 |
| 1479 | 6481 | 114 |
| 1480 | 6485 | 114 |
| 1481 | 6489 | 114 |
| 1482 | 6493 | 114 |
| 1483 | 6497 | 114 |
| 1484 | 6501 | 114 |
| 1485 | 6505 | 114 |
| 1486 | 6509 | 114 |
| 1487 | 6513 | 114 |
| 1488 | 6517 | 114 |
| 1489 | 6521 | 114 |
| 1490 | 6525 | 114 |
| 1491 | 6529 | 114 |
| 1492 | 6533 | 114 |
| 1493 | 6537 | 114 |
| 1494 | 6541 | 114 |
| 1495 | 6545 | 114 |
| 1496 | 6549 | 114 |
| 1497 | 6553 | 114 |
| 1498 | 6557 | 114 |
| 1499 | 6561 | 114 |
| 1500 | 6565 | 114 |
| 1501 | 6569 | 114 |
| 1502 | 6573 | 114 |
| 1503 | 6577 | 114 |
| 1504 | 6581 | 114 |
| 1505 | 6585 | 114 |
| 1506 | 6589 | 114 |
| 1507 | 6593 | 114 |
| 1508 | 6597 | 114 |
| 1509 | 6601 | 114 |
| 1510 | 6605 | 114 |
| 1511 | 6609 | 114 |
| 1512 | 6613 | 114 |
| 1513 | 6617 | 114 |
| 1514 | 6621 | 114 |
| 1515 | 6625 | 114 |
| 1516 | 6629 | 114 |
| 1517 | 6633 | 114 |
| 1518 | 6637 | 114 |
| 1519 | 6641 | 114 |
| 1520 | 6645 | 114 |
| 1521 | 6649 | 114 |
| 1522 | 6653 | 114 |
| 1523 | 6657 | 114 |
| 1524 | 6661 | 114 |
| 1525 | 6665 | 114 |
| 1526 | 6669 | 114 |
| 1527 | 6673 | 114 |
| 1528 | 6677 | 114 |
| 1529 | 6681 | 114 |
| 1530 | 6685 | 114 |
| 1531 | 6689 | 114 |
| 1532 | 6693 | 114 |
| 1533 | 6697 | 114 |
| 1534 | 6701 | 114 |
| 1535 | 6705 | 114 |
| 1536 | 6709 | 114 |
| 1537 | 6713 | 114 |
| 1538 | 6717 | 114 |
| 1539 | 6721 | 114 |
| 1540 | 6725 | 114 |
| 1541 | 6729 | 114 |
| 1542 | 6733 | 114 |
| 1543 | 6737 | 114 |
| 1544 | 6741 | 114 |
| 1545 | 6745 | 114 |
| 1546 | 6749 | 114 |
| 1547 | 6753 | 114 |
| 1548 | 6757 | 114 |
| 1549 | 6761 | 114 |
| 1550 | 6765 | 114 |
| 1551 | 6769 | 114 |
| 1552 | 6773 | 114 |
| 1553 | 6777 | 114 |
| 1554 | 6781 | 114 |
| 1555 | 6785 | 114 |
| 1556 | 6789 | 114 |
| 1557 | 6793 | 114 |
| 1558 | 6797 | 114 |
| 1559 | 6801 | 114 |
| 1560 | 6805 | 114 |
| 1561 | 6809 | 114 |
| 1562 | 6813 | 114 |
| 1563 | 6817 | 114 |
| 1564 | 6821 | 114 |
| 1565 | 6825 | 114 |
| 1566 | 6829 | 114 |
| 1567 | 6833 | 114 |
| 1568 | 6837 | 114 |
| 1569 | 6841 | 114 |
| 1570 | 6845 | 114 |
| 1571 | 6849 | 114 |
| 1572 | 6853 | 114 |
| 1573 | 6857 | 114 |
| 1574 | 6861 | 114 |
| 1575 | 6865 | 114 |
| 1576 | 6869 | 114 |
| 1577 | 6873 | 114 |
| 1578 | 6877 | 114 |
| 1579 | 6881 | 114 |
| 1580 | 6885 | 114 |
| 1581 | 6889 | 114 |
| 1582 | 6893 | 114 |
| 1583 | 6897 | 114 |
| 1584 | 6901 | 114 |
| 1585 | 6905 | 114 |
| 1586 | 6909 | 114 |
| 1587 | 6913 | 114 |
| 1588 | 6917 | 114 |
| 1589 | 6921 | 114 |
| 1590 | 6925 | 114 |
| 1591 | 6929 | 114 |
| 1592 | 6933 | 114 |
| 1593 | 6937 | 114 |
| 1594 | 6941 | 114 |
| 1595 | 6945 | 114 |
| 1596 | 6949 | 114 |
| 1597 | 6953 | 114 |
| 1598 | 6957 | 114 |
| 1599 | 6961 | 114 |
| 1600 | 6965 | 114 |
| 1601 | 6969 | 114 |
| 1602 | 6973 | 114 |
| 1603 | 6977 | 114 |
| 1604 | 6981 | 114 |
| 1605 | 6985 | 114 |
| 1606 | 6989 | 114 |
| 1607 | 6993 | 114 |
| 1608 | 6997 | 114 |
| 1609 | 7001 | 114 |
| 1610 | 7005 | 114 |
| 1611 | 7009 | 114 |
| 1612 | 7013 | 114 |
| 1613 | 7017 | 114 |
| 1614 | 7021 | 114 |
| 1615 | 7025 | 114 |
| 1616 | 7029 | 114 |
| 1617 | 7033 | 114 |
| 1618 | 7037 | 114 |
| 1619 | 7041 | 114 |
| 1620 | 7045 | 114 |
| 1621 | 7049 | 114 |
| 1622 | 7053 | 114 |
| 1623 | 7057 | 114 |
| 1624 | 7061 | 114 |
| 1625 | 7065 | 114 |
| 1626 | 7069 | 114 |
| 1627 | 7073 | 114 |
| 1628 | 7077 | 114 |
| 1629 | 7081 | 114 |
| 1630 | 7085 | 114 |
| 1631 | 7089 | 114 |
| 1632 | 7093 | 114 |
| 1633 | 7097 | 114 |
| 1634 | 7101 | 114 |
| 1635 | 7105 | 114 |
| 1636 | 7109 | 114 |
| 1637 | 7113 | 114 |
| 1638 | 7117 | 114 |
| 1639 | 7121 | 114 |
| 1640 | 7125 | 114 |
| 1641 | 7129 | 114 |
| 1642 | 7133 | 114 |
| 1643 | 7137 | 114 |
| 1644 | 7141 | 114 |
| 1645 | 7145 | 114 |
| 1646 | 7149 | 114 |
| 1647 | 7153 | 114 |
| 1648 | 7157 | 114 |
| 1649 | 7161 | 114 |
| 1650 | 7165 | 114 |
| 1651 | 7169 | 114 |
| 1652 | 7173 | 114 |
| 1653 | 7177 | 114 |
| 1654 | 7181 | 114 |
| 1655 | 7185 | 114 |
| 1656 | 7189 | 114 |
| 1657 | 7193 | 114 |
| 1658 | 7197 | 114 |
| 1659 | 7201 | 114 |
| 1660 | 7205 | 114 |
| 1661 | 7209 | 114 |
| 1662 | 7213 | 114 |
| 1663 | 7217 | 114 |
| 1664 | 7221 | 114 |
| 1665 | 7225 | 114 |
| 1666 | 7229 | 114 |
| 1667 | 7233 | 114 |
| 1668 | 7237 | 114 |
| 1669 | 7241 | 114 |
| 1670 | 7245 | 114 |
| 1671 | 7249 | 114 |
| 1672 | 7253 | 114 |
| 1673 | 7257 | 114 |
| 1674 | 7261 | 114 |
| 1675 | 7265 | 114 |
| 1676 | 7269 | 114 |
| 1677 | 7273 | 114 |
| 1678 | 7277 | 114 |
| 1679 | 7281 | 114 |
| 1680 | 7285 | 114 |
| 1681 | 7289 | 114 |
| 1682 | 7293 | 114 |
| 1683 | 7297 | 114 |
| 1684 | 7301 | 114 |
| 1685 | 7305 | 114 |
| 1686 | 7309 | 114 |
| 1687 | 7313 | 114 |
| 1688 | 7317 | 114 |
| 1689 | 7321 | 114 |
| 1690 | 7325 | 114 |
| 1691 | 7329 | 114 |
| 1692 | 7333 | 114 |
| 1693 | 7337 | 114 |
| 1694 | 7341 | 114 |
| 1695 | 7345 | 114 |
| 1696 | 7349 | 114 |
| 1697 | 7353 | 114 |
| 1698 | 7357 | 114 |
| 1699 | 7361 | 114 |
| 1700 | 7365 | 114 |
| 1701 | 7369 | 114 |
| 1702 | 7373 | 114 |
| 1703 | 7377 | 114 |
| 1704 | 7381 | 114 |
| 1705 | 7385 | 114 |
| 1706 | 7389 | 114 |
| 1707 | 7393 | 114 |
| 1708 | 7397 | 114 |
| 1709 | 7401 | 114 |
| 1710 | 7405 | 114 |
| 1711 | 7409 | 114 |
| 1712 | 7413 | 114 |
| 1713 | 7417 | 114 |
| 1714 | 7421 | 114 |
| 1715 | 7425 | 114 |
| 1716 | 7429 | 114 |
| 1717 | 7433 | 114 |
| 1718 | 7437 | 114 |
| 1719 | 7441 | 114 |
| 1720 | 7445 | 114 |
| 1721 | 7449 | 114 |
| 1722 | 7453 | 114 |
| 1723 | 7457 | 114 |
| 1724 | 7461 | 114 |
| 1725 | 7465 | 114 |
| 1726 | 7469 | 114 |
| 1727 | 7473 | 114 |
| 1728 | 7477 | 114 |
| 1729 | 7481 | 114 |
| 1730 | 7485 | 114 |
| 1731 | 7489 | 114 |
| 1732 | 7493 | 114 |
| 1733 | 7497 | 114 |
| 1734 | 7501 | 114 |
| 1735 | 7505 | 114 |
| 1736 | 7509 | 114 |
| 1737 | 7513 | 114 |
| 1738 | 7517 | 114 |
| 1739 | 7521 | 114 |
| 1740 | 7525 | 114 |
| 1741 | 7529 | 114 |
| 1742 | 7533 | 114 |
| 1743 | 7537 | 114 |
| 1744 | 7541 | 114 |
| 1745 | 7545 | 114 |
| 1746 | 7549 | 114 |
| 1747 | 7553 | 114 |
| 1748 | 7557 | 114 |
| 1749 | 7561 | 114 |
| 1750 | 7565 | 114 |
| 1751 | 7569 | 114 |
| 1752 | 7573 | 114 |
| 1753 | 7577 | 114 |
| 1754 | 7581 | 114 |
| 1755 | 7585 | 114 |
| 1756 | 7589 | 114 |
| 1757 | 7593 | 114 |
| 1758 | 7597 | 114 |
| 1759 | 7601 | 114 |
| 1760 | 7605 | 114 |
| 1761 | 7609 | 114 |
| 1762 | 7613 | 114 |
| 1763 | 7617 | 114 |
| 1764 | 7621 | 114 |
| 1765 | 7625 | 114 |
| 1766 | 7629 | 114 |
| 1767 | 7633 | 114 |
| 1768 | 7637 | 114 |
| 1769 | 7641 | 114 |
| 1770 | 7645 | 114 |
| 1771 | 7649 | 114 |
| 1772 | 7653 | 114 |
| 1773 | 7657 | 114 |
| 1774 | 7661 | 114 |
| 1775 | 7665 | 114 |
| 1776 | 7669 | 114 |
| 1777 | 7673 | 114 |
| 1778 | 7677 | 114 |
| 1779 | 7681 | 114 |
| 1780 | 7685 | 114 |
| 1781 | 7689 | 114 |
| 1782 | 7693 | 114 |
| 1783 | 7697 | 114 |
| 1784 | 7701 | 114 |
| 1785 | 7705 | 114 |
| 1786 | 7709 | 114 |
| 1787 | 7713 | 114 |
| 1788 | 7717 | 114 |
| 1789 | 7721 | 114 |
| 1790 | 7725 | 114 |
| 1791 | 7729 | 114 |
| 1792 | 7733 | 114 |
| 1793 | 7737 | 114 |
| 1794 | 7741 | 114 |
| 1795 | 7745 | 114 |
| 1796 | 7749 | 114 |
| 1797 | 7753 | 114 |
| 1798 | 7757 | 114 |
| 1799 | 7761 | 114 |
| 1800 | 7765 | 114 |
| 1801 | 7769 | 114 |
| 1802 | 7773 | 114 |
| 1803 | 7777 | 114 |
| 1804 | 7781 | 114 |
| 1805 | 7785 | 114 |
| 1806 | 7789 | 114 |
| 1807 | 7793 | 114 |
| 1808 | 7797 | 114 |
| 1809 | 7801 | 114 |
| 1810 | 7805 | 114 |
| 1811 | 7809 | 114 |
| 1812 | 7813 | 114 |
| 1813 | 7817 | 114 |
| 1814 | 7821 | 114 |
| 1815 | 7825 | 114 |
| 1816 | 7829 | 114 |
| 1817 | 7833 | 114 |
| 1818 | 7837 | 114 |
| 1819 | 7841 | 114 |
| 1820 | 7845 | 114 |
| 1821 | 7849 | 114 |
| 1822 | 7853 | 114 |
| 1823 | 7857 | 114 |
| 1824 | 7861 | 114 |
| 1825 | 7865 | 114 |
| 1826 | 7869 | 114 |
| 1827 | 7873 | 114 |
| 1828 | 7877 | 114 |
| 1829 | 7881 | 114 |
| 1830 | 7885 | 114 |
| 1831 | 7889 | 114 |
| 1832 | 7893 | 114 |
| 1833 | 7897 | 114 |
| 1834 | 7901 | 114 |
| 1835 | 7905 | 114 |
| 1836 | 7909 | 114 |
| 1837 | 7913 | 114 |
| 1838 | 7917 | 114 |
| 1839 | 7921 | 114 |
| 1840 | 7925 | 114 |
| 1841 | 7929 | 114 |
| 1842 | 7933 | 114 |
| 1843 | 7937 | 114 |
| 1844 | 7941 | 114 |
| 1845 | 7945 | 114 |
| 1846 | 7949 | 114 |
| 1847 | 7953 | 114 |
| 1848 | 7957 | 114 |
| 1849 | 7961 | 114 |
| 1850 | 7965 | 114 |
| 1851 | 7969 | 114 |
| 1852 | 7973 | 114 |
| 1853 | 7977 | 114 |
| 1854 | 7981 | 114 |
| 1855 | 7985 | 114 |
| 1856 | 7989 | 114 |
| 1857 | 7993 | 114 |
| 1858 | 7997 | 114 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1/2 x) |
(/.f64 -1/2 x) |
(/.f64 -1/2 x) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (*.f64 1/2 (/.f64 1 x))) |
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) |
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (*.f64 1/2 (/.f64 1 x))) |
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) |
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (*.f64 1/2 (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 -1/2 x) |
(/.f64 -1/2 x) |
(/.f64 -1/2 x) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (*.f64 1/2 (/.f64 1 x))) |
(*.f64 1/2 (-.f64 (/.f64 1 y) (/.f64 1 x))) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (*.f64 1/2 (/.f64 1 x))) |
(*.f64 1/2 (-.f64 (/.f64 1 y) (/.f64 1 x))) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (*.f64 1/2 (/.f64 1 x))) |
(*.f64 1/2 (-.f64 (/.f64 1 y) (/.f64 1 x))) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) |
(*.f64 1/2 (/.f64 1 y)) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (*.f64 1/2 (/.f64 1 x))) |
(*.f64 1/2 (-.f64 (/.f64 1 y) (/.f64 1 x))) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (*.f64 1/2 (/.f64 1 x))) |
(*.f64 1/2 (-.f64 (/.f64 1 y) (/.f64 1 x))) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (*.f64 1/2 (/.f64 1 x))) |
(*.f64 1/2 (-.f64 (/.f64 1 y) (/.f64 1 x))) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) |
(*.f64 1/2 (/.f64 1 y)) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (*.f64 1/2 (/.f64 1 x))) |
(*.f64 1/2 (-.f64 (/.f64 1 y) (/.f64 1 x))) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (*.f64 1/2 (/.f64 1 x))) |
(*.f64 1/2 (-.f64 (/.f64 1 y) (/.f64 1 x))) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(-.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (/.f64 1 y))) (*.f64 1/2 (/.f64 1 x))) |
(*.f64 1/2 (-.f64 (/.f64 1 y) (/.f64 1 x))) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
Compiled 5776 to 4334 computations (25% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 349 | 2 | 351 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 3 | 4 |
| Total | 350 | 6 | 356 |
| Status | Error | Program |
|---|---|---|
| ▶ | 37.3b | (/.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 (-.f64 y x) (sqrt.f64 x))) y) |
| ▶ | 6.1b | (/.f64 (-.f64 (*.f64 -1/2 (/.f64 y x)) -1/2) y) |
| ✓ | 26.8b | (/.f64 1/2 y) |
| ✓ | 0.7b | (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (cbrt.f64 (/.f64 1/2 y)) (/.f64 -1/2 x)) |
| ✓ | 36.6b | (/.f64 -1/2 x) |
| ✓ | 0.0b | (-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
Compiled 61 to 45 computations (26.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 (-.f64 y x) (sqrt.f64 x))) |
| ✓ | 0.1b | (/.f64 -1/2 (sqrt.f64 x)) |
| ✓ | 0.2b | (/.f64 (-.f64 y x) (sqrt.f64 x)) |
| ✓ | 2.7b | (/.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 (-.f64 y x) (sqrt.f64 x))) y) |
Compiled 44 to 15 computations (65.9% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | (/.f64 (-.f64 y x) (sqrt.f64 x)) |
| 2.0ms | x | @ | -inf | (/.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 (-.f64 y x) (sqrt.f64 x))) y) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 y x) (sqrt.f64 x)) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 y x) (sqrt.f64 x)) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 y x) (sqrt.f64 x)) |
| 1× | batch-egg-rewrite |
| 717× | prod-diff_binary64 |
| 679× | log-prod_binary64 |
| 294× | log-div_binary64 |
| 233× | fma-def_binary64 |
| 214× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 38 |
| 1 | 238 | 38 |
| 2 | 3780 | 38 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 (-.f64 y x) (sqrt.f64 x))) y) |
(/.f64 (-.f64 y x) (sqrt.f64 x)) |
(/.f64 -1/2 (sqrt.f64 x)) |
(*.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 (-.f64 y x) (sqrt.f64 x))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 y x) (sqrt.f64 x)) (fma.f64 -1 (sqrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 y x) (sqrt.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 y x) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 y x) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 y x) (sqrt.f64 x)) (fma.f64 (neg.f64 (pow.f64 x 1/4)) (pow.f64 x 1/4) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 y x) (sqrt.f64 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (pow.f64 x 1/4))) (/.f64 (sqrt.f64 x) (pow.f64 x 1/4)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1/2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1/2 (sqrt.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 -1/2 (sqrt.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/2 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/2 (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/2 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/2 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/2 (sqrt.f64 x))) (cbrt.f64 (/.f64 1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 x)) (cbrt.f64 (/.f64 -1/2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/2 (sqrt.f64 x))) (sqrt.f64 (/.f64 -1/2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/2 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/2 (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/2 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/2 (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/2 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/2 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/2 (sqrt.f64 x))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (/.f64 (-.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x)))) (cbrt.f64 (exp.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (*.f64 (/.f64 (sqrt.f64 x) (-.f64 y x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 x (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 (sqrt.f64 x) (/.f64 (-.f64 y x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 y x) (*.f64 (*.f64 (sqrt.f64 x) -2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 y x) (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 y x) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (sqrt.f64 x) -2) (/.f64 (sqrt.f64 x) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (sqrt.f64 x) (-.f64 y x)) (*.f64 (sqrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 -1/2 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 x) (/.f64 (-.f64 y x) (*.f64 (sqrt.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 (/.f64 (sqrt.f64 x) (-.f64 y x)) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 y x)) (*.f64 (*.f64 (sqrt.f64 x) -2) (neg.f64 (sqrt.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 y x) (*.f64 (sqrt.f64 x) -2)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -1/2 (-.f64 y x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 y x) (*.f64 (sqrt.f64 x) -2))) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 y x)) 1) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (-.f64 y x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (neg.f64 (-.f64 y x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (neg.f64 (-.f64 y x))) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 y x)) -1/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 y x) 1/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 y x)) 1/2) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 (-.f64 y x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 (-.f64 y x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 y x) (*.f64 (sqrt.f64 x) -2)) 1) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 y x) (*.f64 (sqrt.f64 x) -2)) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 y x) (*.f64 (sqrt.f64 x) -2)) (pow.f64 x 1/4)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (/.f64 (-.f64 y x) (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 y x)) (/.f64 -1/2 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 x)) (neg.f64 (-.f64 y x))) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 y x) (sqrt.f64 x)) 1/2) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1/2 (sqrt.f64 x)) 3) (pow.f64 (/.f64 (-.f64 y x) (sqrt.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 y x) (sqrt.f64 x)) 3) (pow.f64 (/.f64 -1/2 (sqrt.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x))) 1)))))) |
| 1× | egg-herbie |
| 574× | associate-/r*_binary64 |
| 551× | distribute-neg-frac_binary64 |
| 372× | associate-/l/_binary64 |
| 346× | fma-def_binary64 |
| 337× | times-frac_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 521 |
| 1 | 98 | 521 |
| 2 | 219 | 521 |
| 3 | 413 | 521 |
| 4 | 1114 | 521 |
| 5 | 4909 | 521 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) |
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))) |
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))) |
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(*.f64 -1 (sqrt.f64 x)) |
(+.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) (*.f64 -1 (sqrt.f64 x))) |
(+.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) (*.f64 -1 (sqrt.f64 x))) |
(+.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) (*.f64 -1 (sqrt.f64 x))) |
(*.f64 y (sqrt.f64 (/.f64 1 x))) |
(+.f64 (*.f64 -1 (sqrt.f64 x)) (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (sqrt.f64 x)) (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (sqrt.f64 x)) (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 y (sqrt.f64 (/.f64 1 x))) |
(+.f64 (*.f64 -1 (sqrt.f64 x)) (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (sqrt.f64 x)) (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (sqrt.f64 x)) (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/2 (/.f64 y x)) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
1/2 |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(/.f64 -1/2 (pow.f64 (sqrt.f64 -1) 2)) |
(-.f64 (*.f64 1/2 (/.f64 y (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) |
(-.f64 (*.f64 1/2 (/.f64 y (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) |
(-.f64 (*.f64 1/2 (/.f64 y (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) |
1/2 |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(*.f64 -1/2 (/.f64 y x)) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(*.f64 -1/2 (/.f64 y x)) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
| Outputs |
|---|
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(*.f64 -1 (sqrt.f64 x)) |
(neg.f64 (sqrt.f64 x)) |
(+.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) (*.f64 -1 (sqrt.f64 x))) |
(fma.f64 y (sqrt.f64 (/.f64 1 x)) (neg.f64 (sqrt.f64 x))) |
(-.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) |
(+.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) (*.f64 -1 (sqrt.f64 x))) |
(fma.f64 y (sqrt.f64 (/.f64 1 x)) (neg.f64 (sqrt.f64 x))) |
(-.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) |
(+.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) (*.f64 -1 (sqrt.f64 x))) |
(fma.f64 y (sqrt.f64 (/.f64 1 x)) (neg.f64 (sqrt.f64 x))) |
(-.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) |
(*.f64 y (sqrt.f64 (/.f64 1 x))) |
(+.f64 (*.f64 -1 (sqrt.f64 x)) (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(fma.f64 y (sqrt.f64 (/.f64 1 x)) (neg.f64 (sqrt.f64 x))) |
(-.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) |
(+.f64 (*.f64 -1 (sqrt.f64 x)) (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(fma.f64 y (sqrt.f64 (/.f64 1 x)) (neg.f64 (sqrt.f64 x))) |
(-.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) |
(+.f64 (*.f64 -1 (sqrt.f64 x)) (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(fma.f64 y (sqrt.f64 (/.f64 1 x)) (neg.f64 (sqrt.f64 x))) |
(-.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) |
(*.f64 y (sqrt.f64 (/.f64 1 x))) |
(+.f64 (*.f64 -1 (sqrt.f64 x)) (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(fma.f64 y (sqrt.f64 (/.f64 1 x)) (neg.f64 (sqrt.f64 x))) |
(-.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) |
(+.f64 (*.f64 -1 (sqrt.f64 x)) (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(fma.f64 y (sqrt.f64 (/.f64 1 x)) (neg.f64 (sqrt.f64 x))) |
(-.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) |
(+.f64 (*.f64 -1 (sqrt.f64 x)) (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(fma.f64 y (sqrt.f64 (/.f64 1 x)) (neg.f64 (sqrt.f64 x))) |
(-.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) |
(*.f64 -1/2 (/.f64 y x)) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
1/2 |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(/.f64 -1/2 (pow.f64 (sqrt.f64 -1) 2)) |
1/2 |
(-.f64 (*.f64 1/2 (/.f64 y (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(-.f64 (*.f64 1/2 (/.f64 y (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(-.f64 (*.f64 1/2 (/.f64 y (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (*.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
1/2 |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(*.f64 -1/2 (/.f64 y x)) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(*.f64 -1/2 (/.f64 y x)) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
(+.f64 (*.f64 -1/2 (/.f64 y x)) 1/2) |
(fma.f64 -1/2 (/.f64 y x) 1/2) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 5.7b | (/.f64 (-.f64 (*.f64 -1/2 (/.f64 y x)) -1/2) y) |
Compiled 29 to 15 computations (48.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 (*.f64 -1/2 (/.f64 y x)) -1/2) y) |
| 1.0ms | y | @ | inf | (/.f64 (-.f64 (*.f64 -1/2 (/.f64 y x)) -1/2) y) |
| 1.0ms | y | @ | -inf | (/.f64 (-.f64 (*.f64 -1/2 (/.f64 y x)) -1/2) y) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 (*.f64 -1/2 (/.f64 y x)) -1/2) y) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 (*.f64 -1/2 (/.f64 y x)) -1/2) y) |
| 1× | batch-egg-rewrite |
| 501× | log-prod_binary64 |
| 387× | exp-prod_binary64 |
| 274× | pow-prod-down_binary64 |
| 256× | pow2_binary64 |
| 179× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 189 | 11 |
| 2 | 2722 | 11 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 -1/2 (/.f64 y x)) -1/2) y) |
| Outputs |
|---|
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(cbrt.f64 y) -2) (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 y x) 1/2)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (fma.f64 -1/2 (/.f64 y x) 1/2)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (fma.f64 -1/2 (/.f64 y x) 1/2)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (fma.f64 -1/2 (/.f64 y x) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (fma.f64 -1/2 (/.f64 y x) 1/2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))) (sqrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (fma.f64 -1/2 (/.f64 y x) 1/2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (fma.f64 -1/2 (/.f64 y x) 1/2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (fma.f64 -1/2 (/.f64 y x) 1/2)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 -1/2 (/.f64 y x) 1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/2 (/.f64 y x) 1/2) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 (/.f64 y x) y) (neg.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 -1/2 y) x) (/.f64 1 y) (neg.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (/.f64 (*.f64 -1/2 y) x) y) (neg.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 -1/2 y) x) y)) 2) (cbrt.f64 (/.f64 (/.f64 (*.f64 -1/2 y) x) y)) (neg.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (/.f64 (*.f64 -1/2 y) x) y)) (sqrt.f64 (/.f64 (/.f64 (*.f64 -1/2 y) x) y)) (neg.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (/.f64 (*.f64 -1/2 y) x) (cbrt.f64 y)) (neg.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 (/.f64 (*.f64 -1/2 y) x) (sqrt.f64 y)) (neg.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 y x) 1) (/.f64 -1/2 y) (neg.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 -1/2 y) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (*.f64 -1/2 y) x)) y) (neg.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 -1/2 y) x)) 1) (/.f64 (sqrt.f64 (/.f64 (*.f64 -1/2 y) x)) y) (neg.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (/.f64 y x) (cbrt.f64 y)) (neg.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 y x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 -1/2 (cbrt.f64 y)) (neg.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 -1/2 y) x)) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (/.f64 (*.f64 -1/2 y) x)) (cbrt.f64 y)) (neg.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 -1/2 y) x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (/.f64 (*.f64 -1/2 y) x)) (cbrt.f64 y)) (neg.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 (sqrt.f64 y)) (/.f64 (/.f64 y x) (sqrt.f64 y)) (neg.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 y x) (sqrt.f64 y)) (/.f64 -1/2 (sqrt.f64 y)) (neg.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 -1/2 y) x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 (*.f64 -1/2 y) x)) (sqrt.f64 y)) (neg.f64 (/.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 -1/2 y) x)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 (*.f64 -1/2 y) x)) (sqrt.f64 y)) (neg.f64 (/.f64 -1/2 y))))))) |
| 1× | egg-herbie |
| 141× | fma-def_binary64 |
| 102× | fma-neg_binary64 |
| 46× | cancel-sign-sub-inv_binary64 |
| 24× | sub-neg_binary64 |
| 21× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 204 |
| 1 | 27 | 204 |
| 2 | 43 | 204 |
| 3 | 62 | 204 |
| 4 | 91 | 204 |
| 5 | 140 | 204 |
| 6 | 229 | 204 |
| 7 | 322 | 204 |
| 8 | 400 | 204 |
| 9 | 513 | 204 |
| 10 | 567 | 204 |
| 11 | 573 | 204 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)) |
Compiled 13374 to 6838 computations (48.9% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 458 | 1 | 459 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 459 | 6 | 465 |
| Status | Error | Program |
|---|---|---|
| ▶ | 7.1b | (/.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x))) 3) y) |
| ✓ | 6.1b | (/.f64 (-.f64 (*.f64 -1/2 (/.f64 y x)) -1/2) y) |
| ✓ | 26.8b | (/.f64 1/2 y) |
| ✓ | 0.7b | (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (cbrt.f64 (/.f64 1/2 y)) (/.f64 -1/2 x)) |
| ✓ | 36.6b | (/.f64 -1/2 x) |
| ✓ | 0.0b | (-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
Compiled 60 to 46 computations (23.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 y x) x) |
| ✓ | 0.8b | (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x))) 3) |
| ✓ | 5.7b | (/.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x))) 3) y) |
| ✓ | 5.9b | (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x))) |
Compiled 51 to 22 computations (56.9% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x))) 3) |
| 3.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x))) 3) |
| 2.0ms | y | @ | 0 | (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x))) |
| 2.0ms | x | @ | inf | (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x))) |
| 2.0ms | y | @ | -inf | (/.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x))) 3) y) |
| 1× | batch-egg-rewrite |
| 610× | log-prod_binary64 |
| 495× | prod-diff_binary64 |
| 298× | pow2_binary64 |
| 214× | fma-def_binary64 |
| 209× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 42 |
| 1 | 256 | 42 |
| 2 | 3411 | 42 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x))) 3) y) |
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x))) 3) |
(/.f64 (-.f64 y x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -1/2) (cbrt.f64 (+.f64 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 y x) -1)) (cbrt.f64 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)) 1/6) (pow.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 -1/2 (-.f64 y x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)))) 1)))))) |
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (/.f64 y x) -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (/.f64 y x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (/.f64 y x) -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (/.f64 y x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (+.f64 (/.f64 y x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y x) (*.f64 (/.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 y x) -1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 (/.f64 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-1/2 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (-.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -1/2 (-.f64 y x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 (-.f64 y x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 (-.f64 y x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 (-.f64 y x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 y x)) -1/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (neg.f64 (-.f64 y x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (+.f64 (/.f64 y x) -1))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 y x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 y x) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 y x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 y x) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 y x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 y x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 y x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 y x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 1 x)))))) (#(struct:change 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x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (+.f64 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 y x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 y x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 y x) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 y x) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 y x) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (-.f64 y x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 y x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 y x) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 y x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 y x) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 y x) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 y x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (cbrt.f64 (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 y) (cbrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) (sqrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) (/.f64 (sqrt.f64 y) (sqrt.f64 x)) -1))))) |
| 1× | egg-herbie |
| 837× | associate-*l/_binary64 |
| 716× | associate-*r/_binary64 |
| 394× | distribute-rgt-in_binary64 |
| 391× | distribute-lft-in_binary64 |
| 331× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 263 | 2582 |
| 1 | 948 | 2172 |
| 2 | 4033 | 2042 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1)) |
(+.f64 (*.f64 1/3 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) y) x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1))) |
(+.f64 (*.f64 1/3 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) y) x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1)) (*.f64 -1/9 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 y 2)) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3))))) |
(+.f64 (*.f64 1/3 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) y) x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))) (*.f64 1/27 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))))) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1)) (*.f64 -1/9 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 y 2)) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3)))))) |
(*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1)) |
(+.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 (*.f64 (cbrt.f64 -1/2) y) x)))) |
(+.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 (*.f64 (cbrt.f64 -1/2) y) x))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (/.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 y 2)) (pow.f64 x 2)))))) |
(+.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 (*.f64 (cbrt.f64 -1/2) y) x))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (cbrt.f64 -1/2) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 1/27 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (/.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 y 2)) (pow.f64 x 2))))))) |
(cbrt.f64 1/2) |
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 y (cbrt.f64 1/2)) x)) (cbrt.f64 1/2)) |
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 y (cbrt.f64 1/2)) x)) (+.f64 (cbrt.f64 1/2) (*.f64 -1/9 (/.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 1/2)) (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 y (cbrt.f64 1/2)) x)) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (cbrt.f64 1/2) (+.f64 (*.f64 1/27 (pow.f64 y 3)) (*.f64 -2/9 (pow.f64 y 3)))) (pow.f64 x 3))) (+.f64 (cbrt.f64 1/2) (*.f64 -1/9 (/.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 1/2)) (pow.f64 x 2)))))) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 -1/2 x) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(/.f64 1/2 y) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
(-.f64 (*.f64 1/2 (/.f64 1 y)) (*.f64 1/2 (/.f64 1 x))) |
1/2 |
(+.f64 1/2 (*.f64 y (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 x))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) x) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) x))))))))) |
(+.f64 1/2 (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (+.f64 (*.f64 -1/9 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 x 2)))))) (cbrt.f64 -1))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) x) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) x))))) x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (*.f64 1/18 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 x 2))))))) (*.f64 y (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 x))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) x) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) x)))))))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/9 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) x) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) x))))) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3))) (+.f64 (*.f64 1/6 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))) (*.f64 1/27 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (+.f64 (*.f64 -1/9 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 x 2)))))) (cbrt.f64 -1/2)) x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/3 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))) (*.f64 1/27 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))))) (cbrt.f64 -1))) (*.f64 2/27 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 x 3)))))))))) (pow.f64 y 3)) (+.f64 1/2 (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (+.f64 (*.f64 -1/9 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 x 2)))))) (cbrt.f64 -1))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) x) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) x))))) x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (*.f64 1/18 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 x 2))))))) (*.f64 y (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 x))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) x) (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) x))))))))))) |
1/2 |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 y x))) (+.f64 1/2 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 y x))))) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 y x))) (+.f64 1/2 (+.f64 (*.f64 1/18 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/9 (*.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 y 2))))))) (pow.f64 x 2)) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 y x)))))))) |
(+.f64 (*.f64 1/27 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 y 3) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 1/2 (+.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 2/27 (*.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 y 3)) (pow.f64 1 1/3))) (*.f64 -2/3 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 1/27 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2))))) (cbrt.f64 -1)))))) (pow.f64 x 3)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 y x))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 1/27 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)))) (pow.f64 x 3))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 y (+.f64 (*.f64 -2/9 (*.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 y 2))))))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/9 (*.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 y 2))))))) (pow.f64 x 2)) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 y x)))))))))))) |
1/2 |
(+.f64 1/2 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/6 y) (*.f64 1/3 y)) x))) |
(+.f64 (*.f64 -1/18 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1/2 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -2/9 (*.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2)) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/6 y) (*.f64 1/3 y)) x)) (*.f64 1/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))) |
(+.f64 (*.f64 -1/18 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/27 (pow.f64 y 3)) (+.f64 (*.f64 -1/6 (+.f64 (*.f64 1/27 (pow.f64 y 3)) (*.f64 -2/9 (pow.f64 y 3)))) (+.f64 (*.f64 1/3 (*.f64 y (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -2/9 (*.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2)))) (*.f64 (cbrt.f64 1/2) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -2/3 (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (+.f64 (*.f64 1/27 (pow.f64 y 3)) (*.f64 -2/9 (pow.f64 y 3)))))))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -2/9 (*.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2)) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/6 y) (*.f64 1/3 y)) x)) (*.f64 1/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))))) |
-1 |
(-.f64 (/.f64 y x) 1) |
(-.f64 (/.f64 y x) 1) |
(-.f64 (/.f64 y x) 1) |
(/.f64 y x) |
(-.f64 (/.f64 y x) 1) |
(-.f64 (/.f64 y x) 1) |
(-.f64 (/.f64 y x) 1) |
(/.f64 y x) |
(-.f64 (/.f64 y x) 1) |
(-.f64 (/.f64 y x) 1) |
(-.f64 (/.f64 y x) 1) |
(/.f64 y x) |
(-.f64 (/.f64 y x) 1) |
(-.f64 (/.f64 y x) 1) |
(-.f64 (/.f64 y x) 1) |
-1 |
(-.f64 (/.f64 y x) 1) |
(-.f64 (/.f64 y x) 1) |
(-.f64 (/.f64 y x) 1) |
-1 |
(-.f64 (/.f64 y x) 1) |
(-.f64 (/.f64 y x) 1) |
(-.f64 (/.f64 y x) 1) |
| Outputs |
|---|
(*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1)) |
(+.f64 (*.f64 1/3 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) y) x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1))) |
(fma.f64 (cbrt.f64 -1/2) (cbrt.f64 -1) (*.f64 1/3 (*.f64 (/.f64 (cbrt.f64 -1/2) (/.f64 x y)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) |
(fma.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (/.f64 (cbrt.f64 -1/2) x) y) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1))) |
(fma.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (/.f64 (cbrt.f64 -1/2) (/.f64 x y)) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1))) |
(+.f64 (*.f64 1/3 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) y) x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1)) (*.f64 -1/9 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 y 2)) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3))))) |
(fma.f64 1/3 (*.f64 (/.f64 (cbrt.f64 -1/2) (/.f64 x y)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 (cbrt.f64 -1/2) (cbrt.f64 -1) (*.f64 (*.f64 -1/9 (/.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 y y)) (*.f64 x x))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))))) |
(fma.f64 (cbrt.f64 -1/2) (cbrt.f64 -1) (fma.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (/.f64 (cbrt.f64 -1/2) x) y) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 -1/9 (/.f64 (*.f64 y y) (/.f64 (*.f64 x x) (cbrt.f64 -1/2))))))) |
(fma.f64 (cbrt.f64 -1/2) (cbrt.f64 -1) (fma.f64 1/3 (*.f64 (/.f64 (cbrt.f64 -1/2) (/.f64 x y)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 -1/9 (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (cbrt.f64 -1/2)))))) |
(+.f64 (*.f64 1/3 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) y) x) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))) (*.f64 1/27 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))))) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1)) (*.f64 -1/9 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 y 2)) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3)))))) |
(fma.f64 1/3 (*.f64 (/.f64 (cbrt.f64 -1/2) (/.f64 x y)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 -1/3 (/.f64 (*.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 y 3)) (fma.f64 -2/9 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))) (/.f64 1/27 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (cbrt.f64 -1/2) (cbrt.f64 -1) (*.f64 (*.f64 -1/9 (/.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 y y)) (*.f64 x x))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))))) |
(fma.f64 1/3 (*.f64 (*.f64 (/.f64 (cbrt.f64 -1/2) x) y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 (pow.f64 y 3) (*.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))) -5/27))) (fma.f64 (cbrt.f64 -1/2) (cbrt.f64 -1) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 -1/9 (/.f64 (*.f64 y y) (/.f64 (*.f64 x x) (cbrt.f64 -1/2)))))))) |
(fma.f64 1/3 (*.f64 (/.f64 (cbrt.f64 -1/2) (/.f64 x y)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 (/.f64 (pow.f64 y 3) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))) -5/27)) (fma.f64 (cbrt.f64 -1/2) (cbrt.f64 -1) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 -1/9 (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (cbrt.f64 -1/2))))))) |
(*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1)) |
(+.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 (*.f64 (cbrt.f64 -1/2) y) x)))) |
(fma.f64 (cbrt.f64 -1/2) (cbrt.f64 -1) (*.f64 1/3 (*.f64 (/.f64 (cbrt.f64 -1/2) (/.f64 x y)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) |
(fma.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (/.f64 (cbrt.f64 -1/2) x) y) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1))) |
(fma.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (/.f64 (cbrt.f64 -1/2) (/.f64 x y)) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1))) |
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(cbrt.f64 1/2) |
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(/.f64 1/2 y) |
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(/.f64 1/2 y) |
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(-.f64 (/.f64 1/2 y) (/.f64 1/2 x)) |
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1/2 |
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(fma.f64 (pow.f64 y 3) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 (/.f64 (cbrt.f64 -1/2) x) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) x) (cbrt.f64 (cbrt.f64 -1))) 2/3) x))) (fma.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))) -5/27) 1/6 (fma.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 -1) (fma.f64 -2/3 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) (cbrt.f64 -1)) (*.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))) -5/27)) (*.f64 2/27 (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 x 3))))) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (/.f64 (fma.f64 1/9 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) (*.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) (*.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -2/9)) x) (cbrt.f64 -1/2))))))) (+.f64 1/2 (fma.f64 y (fma.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 -1) (*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) x) (cbrt.f64 (cbrt.f64 -1))) 2/3)) (*.f64 -1/6 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) x))) (*.f64 (*.f64 y y) (fma.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 -1) (fma.f64 1/9 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) (*.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) (*.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -2/9))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (/.f64 (cbrt.f64 -1/2) x) (*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) x) (cbrt.f64 (cbrt.f64 -1))) 2/3))) (*.f64 1/18 (/.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (*.f64 x x))))))))) |
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1/2 |
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(fma.f64 -1/3 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 y x)) (+.f64 1/2 (*.f64 -1/6 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 y x))))) |
(fma.f64 -1/3 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 y x)) (fma.f64 (*.f64 -1/6 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) (/.f64 y x) 1/2)) |
(+.f64 1/2 (*.f64 (*.f64 y (/.f64 (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))) x)) -1/2)) |
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(fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (/.f64 (*.f64 y y) (*.f64 x x))) (+.f64 (fma.f64 1/18 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 -1/6 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 y x)) (*.f64 (/.f64 (cbrt.f64 -1/2) (*.f64 x x)) (*.f64 (cbrt.f64 -1) (*.f64 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) -1/9))))) (fma.f64 (*.f64 -1/3 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) (/.f64 y x) 1/2))) |
(fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (/.f64 (*.f64 y y) (*.f64 x x))) (+.f64 (fma.f64 1/18 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 -1/6 (*.f64 y (/.f64 (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))) x)) (*.f64 (/.f64 (cbrt.f64 -1/2) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 -1 (cbrt.f64 -1)))) (*.f64 y (*.f64 y (pow.f64 (cbrt.f64 -1/2) 2)))) (cbrt.f64 -1)) -1/9)))) (fma.f64 (*.f64 -1/3 (cbrt.f64 (*.f64 -1 (cbrt.f64 -1)))) (/.f64 y x) 1/2))) |
(+.f64 (*.f64 1/27 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 y 3) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 1/2 (+.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 2/27 (*.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 y 3)) (pow.f64 1 1/3))) (*.f64 -2/3 (/.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 1/27 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2))))) (cbrt.f64 -1)))))) (pow.f64 x 3)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 y x))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 1/27 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)))) (pow.f64 x 3))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 y (+.f64 (*.f64 -2/9 (*.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 y 2))))))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/9 (*.f64 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 y 2))))))) (pow.f64 x 2)) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 y x)))))))))))) |
(+.f64 (*.f64 1/27 (/.f64 (pow.f64 y 3) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3)))) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (/.f64 (*.f64 y y) (*.f64 x x))) (+.f64 (+.f64 1/2 (/.f64 (*.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1)) (fma.f64 2/27 (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (*.f64 (pow.f64 y 3) 1)) (*.f64 -2/3 (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) (/.f64 (cbrt.f64 -1) (+.f64 (*.f64 -2/9 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 1/27 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2))))))))) (pow.f64 x 3))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 y x)) (fma.f64 1/6 (/.f64 (+.f64 (*.f64 -2/9 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 1/27 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)))) (pow.f64 x 3)) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (*.f64 (*.f64 (cbrt.f64 -1/2) y) (fma.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 (*.f64 y y) (pow.f64 (cbrt.f64 -1/2) 2))) (*.f64 1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 (*.f64 y y) (pow.f64 (cbrt.f64 -1/2) 2)))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1)) (fma.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 (*.f64 y y) (pow.f64 (cbrt.f64 -1/2) 2))) (*.f64 1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 (*.f64 y y) (pow.f64 (cbrt.f64 -1/2) 2)))))) (*.f64 x x)) (fma.f64 1/18 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (/.f64 (*.f64 y y) (*.f64 x x))) (*.f64 -1/6 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 y x))))))))))) |
(fma.f64 1/27 (/.f64 (pow.f64 y 3) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))) (+.f64 (+.f64 (*.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 x 3)) (*.f64 (cbrt.f64 -1) (fma.f64 -2/3 (*.f64 (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) (cbrt.f64 -1)) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)) -5/27)) (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (*.f64 (pow.f64 y 3) 2/27))))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 y x)) (fma.f64 1/6 (/.f64 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)) -5/27) (pow.f64 x 3)) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (cbrt.f64 -1/2) (/.f64 (/.f64 (pow.f64 x 3) y) (*.f64 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) -1/9)))) (fma.f64 1/18 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 -1/6 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 y x)) (*.f64 (/.f64 (cbrt.f64 -1/2) (*.f64 x x)) (*.f64 (cbrt.f64 -1) (*.f64 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) -1/9))))))))) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (/.f64 (*.f64 y y) (*.f64 x x))) 1/2))) |
(fma.f64 1/27 (/.f64 (pow.f64 y 3) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))) (+.f64 (+.f64 (*.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 x 3)) (*.f64 (cbrt.f64 -1) (fma.f64 -2/3 (*.f64 (/.f64 (*.f64 (pow.f64 y 3) -5/27) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) (cbrt.f64 -1))) (*.f64 (pow.f64 (cbrt.f64 -1/2) 2) (*.f64 (pow.f64 y 3) 2/27))))) (fma.f64 -1/3 (*.f64 y (/.f64 (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))) x)) (fma.f64 1/6 (/.f64 (/.f64 (*.f64 (pow.f64 y 3) -5/27) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 x 3)) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 x 3)) (*.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 -1 (cbrt.f64 -1)))) (*.f64 y (*.f64 y (pow.f64 (cbrt.f64 -1/2) 2)))) y) -1/9))) (fma.f64 1/18 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 -1/6 (*.f64 y (/.f64 (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))) x)) (*.f64 (/.f64 (cbrt.f64 -1/2) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 -1 (cbrt.f64 -1)))) (*.f64 y (*.f64 y (pow.f64 (cbrt.f64 -1/2) 2)))) (cbrt.f64 -1)) -1/9)))))))) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (/.f64 (*.f64 y y) (*.f64 x x))) 1/2))) |
1/2 |
(+.f64 1/2 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/6 y) (*.f64 1/3 y)) x))) |
(+.f64 1/2 (neg.f64 (/.f64 (*.f64 y 1/2) x))) |
(-.f64 1/2 (/.f64 y (/.f64 x 1/2))) |
(+.f64 1/2 (/.f64 (*.f64 -1/2 y) x)) |
(+.f64 (*.f64 -1/18 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1/2 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -2/9 (*.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2)) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/6 y) (*.f64 1/3 y)) x)) (*.f64 1/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))))) |
(fma.f64 -1/18 (/.f64 (*.f64 y y) (*.f64 x x)) (+.f64 1/2 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (pow.f64 (cbrt.f64 1/2) 2)) -1/9) (/.f64 (*.f64 x x) (cbrt.f64 1/2))) (fma.f64 -1 (/.f64 (*.f64 y 1/2) x) (*.f64 1/9 (/.f64 (*.f64 y y) (*.f64 x x))))))) |
(+.f64 (+.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -1/18 1/2) (-.f64 (*.f64 1/9 (/.f64 (*.f64 y y) (*.f64 x x))) (/.f64 y (/.f64 x 1/2)))) (*.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (*.f64 (*.f64 y y) -1/9)) (*.f64 x x)) (cbrt.f64 1/2))) |
(+.f64 (+.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -1/18 1/2) (fma.f64 1/9 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (*.f64 -1/2 y) x))) (*.f64 (/.f64 (cbrt.f64 1/2) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) -1/9)))) |
(+.f64 (*.f64 -1/18 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/27 (pow.f64 y 3)) (+.f64 (*.f64 -1/6 (+.f64 (*.f64 1/27 (pow.f64 y 3)) (*.f64 -2/9 (pow.f64 y 3)))) (+.f64 (*.f64 1/3 (*.f64 y (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -2/9 (*.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2)))) (*.f64 (cbrt.f64 1/2) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -2/3 (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (+.f64 (*.f64 1/27 (pow.f64 y 3)) (*.f64 -2/9 (pow.f64 y 3)))))))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -2/9 (*.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2)) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/6 y) (*.f64 1/3 y)) x)) (*.f64 1/9 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))))) |
(fma.f64 -1/18 (/.f64 (*.f64 y y) (*.f64 x x)) (+.f64 1/2 (fma.f64 -1 (/.f64 (fma.f64 -1/27 (pow.f64 y 3) (fma.f64 -1/6 (*.f64 (pow.f64 y 3) -5/27) (fma.f64 1/3 (*.f64 y (*.f64 (cbrt.f64 1/2) (*.f64 (*.f64 (*.f64 y y) (pow.f64 (cbrt.f64 1/2) 2)) -1/9))) (*.f64 (cbrt.f64 1/2) (fma.f64 -2/27 (*.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 -2/3 (*.f64 (*.f64 (pow.f64 y 3) -5/27) (pow.f64 (cbrt.f64 1/2) 2)))))))) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (pow.f64 (cbrt.f64 1/2) 2)) -1/9) (/.f64 (*.f64 x x) (cbrt.f64 1/2))) (fma.f64 -1 (/.f64 (*.f64 y 1/2) x) (*.f64 1/9 (/.f64 (*.f64 y y) (*.f64 x x)))))))) |
(+.f64 (-.f64 (+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (*.f64 (*.f64 y y) -1/9)) (*.f64 x x)) (cbrt.f64 1/2)) (-.f64 (*.f64 1/9 (/.f64 (*.f64 y y) (*.f64 x x))) (/.f64 y (/.f64 x 1/2)))) (/.f64 (+.f64 (fma.f64 1/3 (*.f64 (cbrt.f64 1/2) (*.f64 (*.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 1/2) 2)) -1/9)) (*.f64 (cbrt.f64 1/2) (fma.f64 -2/27 (*.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 -2/3 (*.f64 (*.f64 (pow.f64 y 3) -5/27) (pow.f64 (cbrt.f64 1/2) 2)))))) (fma.f64 (pow.f64 y 3) -1/27 (*.f64 (pow.f64 y 3) 5/162))) (pow.f64 x 3))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -1/18 1/2)) |
(+.f64 (+.f64 (*.f64 (/.f64 (cbrt.f64 1/2) (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) -1/9))) (-.f64 (fma.f64 1/9 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (*.f64 -1/2 y) x)) (/.f64 (+.f64 (*.f64 (cbrt.f64 1/2) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 1/2) 2)) -1/9)) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (+.f64 (*.f64 (pow.f64 y 3) -2/27) (*.f64 (*.f64 (pow.f64 y 3) -5/27) -2/3))))) (*.f64 (pow.f64 y 3) -1/162)) (pow.f64 x 3)))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -1/18 1/2)) |
-1 |
(-.f64 (/.f64 y x) 1) |
(+.f64 (/.f64 y x) -1) |
(+.f64 -1 (/.f64 y x)) |
(-.f64 (/.f64 y x) 1) |
(+.f64 (/.f64 y x) -1) |
(+.f64 -1 (/.f64 y x)) |
(-.f64 (/.f64 y x) 1) |
(+.f64 (/.f64 y x) -1) |
(+.f64 -1 (/.f64 y x)) |
(/.f64 y x) |
(-.f64 (/.f64 y x) 1) |
(+.f64 (/.f64 y x) -1) |
(+.f64 -1 (/.f64 y x)) |
(-.f64 (/.f64 y x) 1) |
(+.f64 (/.f64 y x) -1) |
(+.f64 -1 (/.f64 y x)) |
(-.f64 (/.f64 y x) 1) |
(+.f64 (/.f64 y x) -1) |
(+.f64 -1 (/.f64 y x)) |
(/.f64 y x) |
(-.f64 (/.f64 y x) 1) |
(+.f64 (/.f64 y x) -1) |
(+.f64 -1 (/.f64 y x)) |
(-.f64 (/.f64 y x) 1) |
(+.f64 (/.f64 y x) -1) |
(+.f64 -1 (/.f64 y x)) |
(-.f64 (/.f64 y x) 1) |
(+.f64 (/.f64 y x) -1) |
(+.f64 -1 (/.f64 y x)) |
(/.f64 y x) |
(-.f64 (/.f64 y x) 1) |
(+.f64 (/.f64 y x) -1) |
(+.f64 -1 (/.f64 y x)) |
(-.f64 (/.f64 y x) 1) |
(+.f64 (/.f64 y x) -1) |
(+.f64 -1 (/.f64 y x)) |
(-.f64 (/.f64 y x) 1) |
(+.f64 (/.f64 y x) -1) |
(+.f64 -1 (/.f64 y x)) |
-1 |
(-.f64 (/.f64 y x) 1) |
(+.f64 (/.f64 y x) -1) |
(+.f64 -1 (/.f64 y x)) |
(-.f64 (/.f64 y x) 1) |
(+.f64 (/.f64 y x) -1) |
(+.f64 -1 (/.f64 y x)) |
(-.f64 (/.f64 y x) 1) |
(+.f64 (/.f64 y x) -1) |
(+.f64 -1 (/.f64 y x)) |
-1 |
(-.f64 (/.f64 y x) 1) |
(+.f64 (/.f64 y x) -1) |
(+.f64 -1 (/.f64 y x)) |
(-.f64 (/.f64 y x) 1) |
(+.f64 (/.f64 y x) -1) |
(+.f64 -1 (/.f64 y x)) |
(-.f64 (/.f64 y x) 1) |
(+.f64 (/.f64 y x) -1) |
(+.f64 -1 (/.f64 y x)) |
Compiled 5780 to 4356 computations (24.6% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 219 | 0 | 219 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 219 | 6 | 225 |
| Status | Error | Program |
|---|---|---|
| ✓ | 7.1b | (/.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x))) 3) y) |
| ✓ | 6.1b | (/.f64 (-.f64 (*.f64 -1/2 (/.f64 y x)) -1/2) y) |
| ✓ | 26.8b | (/.f64 1/2 y) |
| ✓ | 0.7b | (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (cbrt.f64 (/.f64 1/2 y)) (/.f64 -1/2 x)) |
| ✓ | 36.6b | (/.f64 -1/2 x) |
| ✓ | 0.0b | (-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
Compiled 60 to 46 computations (23.3% saved)
| Inputs |
|---|
(/.f64 1/2 y) |
(/.f64 -1/2 x) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(/.f64 (-.f64 (*.f64 -1/2 (/.f64 y x)) -1/2) y) |
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
(/.f64 (/.f64 (-.f64 (*.f64 -1/2 y) (*.f64 -1/2 x)) x) y) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (-.f64 y x) x))) 3) y) |
(/.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 x)) (/.f64 (-.f64 y x) (sqrt.f64 x))) y) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (cbrt.f64 (/.f64 1/2 y)) (/.f64 -1/2 x)) |
| Outputs |
|---|
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
3 calls:
| 6.0ms | x |
| 6.0ms | y |
| 5.0ms | (/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
Compiled 100 to 65 computations (35% saved)
Total -48.7b remaining (-369.2%)
Threshold costs -48.7b (-369.2%)
| Inputs |
|---|
(/.f64 1/2 y) |
(/.f64 -1/2 x) |
| Outputs |
|---|
(/.f64 -1/2 x) |
(/.f64 1/2 y) |
(/.f64 -1/2 x) |
2 calls:
| 12.0ms | x |
| 9.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 15.1b | 3 | x |
| 13.2b | 3 | y |
Compiled 14 to 10 computations (28.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 3.22847248493824e+68 | 4.99667817309752e+69 |
| 26.0ms | -1.0091262586043192e+40 | -7.957082167433533e+39 |
Compiled 16 to 11 computations (31.3% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | *-commutative_binary64 |
| 1× | distribute-neg-frac_binary64 |
| 1× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 38 |
| 1 | 18 | 38 |
| 2 | 25 | 38 |
| 3 | 27 | 38 |
| 4 | 28 | 38 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(if (<=.f64 y -10091262586043192360900855511925347319808) (/.f64 -1/2 x) (if (<=.f64 y 322847248493824003430671440308153584463084180870780740067053126287360) (/.f64 1/2 y) (/.f64 -1/2 x))) |
(/.f64 1/2 y) |
| Outputs |
|---|
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(+.f64 (/.f64 -1/2 x) (/.f64 1/2 y)) |
(if (<=.f64 y -10091262586043192360900855511925347319808) (/.f64 -1/2 x) (if (<=.f64 y 322847248493824003430671440308153584463084180870780740067053126287360) (/.f64 1/2 y) (/.f64 -1/2 x))) |
(/.f64 1/2 y) |
Compiled 33 to 25 computations (24.2% saved)
| 1× | egg-herbie |
| 921× | fma-neg_binary64 |
| 628× | times-frac_binary64 |
| 467× | neg-mul-1_binary64 |
| 305× | *-commutative_binary64 |
| 304× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 19 | 13 |
| 2 | 53 | 10 |
| 3 | 124 | 10 |
| 4 | 256 | 10 |
| 5 | 541 | 10 |
| 6 | 1084 | 10 |
| 7 | 4068 | 10 |
| 8 | 7900 | 10 |
| 1× | node limit |
Compiled 303 to 219 computations (27.7% saved)
Compiled 29 to 21 computations (27.6% saved)
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