Time bar (total: 3.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 7 |
| 31.3% | 31.2% | 68.7% | 0.1% | 0% | 0% | 0% | 8 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 9 |
| 60.9% | 60.9% | 39% | 0.1% | 0% | 0% | 0% | 10 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 11 |
| 79.3% | 79.2% | 20.7% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 12 to 8 computations (33.3% saved)
| 1.6s | 8256× | body | 256 | valid |
| 0.0ms | 1× | body | 256 | infinite |
| 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)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
| ▶ | 15.8b | (/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
Compiled 20 to 14 computations (30% 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 | |
|---|---|---|---|---|
| 32.0ms | y | @ | 0 | (-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
| 2.0ms | x | @ | 0 | (-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
| 1.0ms | x | @ | inf | (-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
| 1.0ms | y | @ | inf | (-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
| 1.0ms | 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)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 15.3b | (/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
Compiled 25 to 13 computations (48% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
| 1.0ms | y | @ | inf | (/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
| 1× | batch-egg-rewrite |
| 847× | prod-diff_binary64 |
| 567× | log-prod_binary64 |
| 393× | egg-rr |
| 254× | pow2_binary64 |
| 208× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 184 | 13 |
| 2 | 2863 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
| Outputs |
|---|
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(-.f64 x y) (*.f64 x (*.f64 y 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (*.f64 x (*.f64 y 2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x y) (*.f64 x (neg.f64 (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 y 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 y 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (*.f64 x (*.f64 y 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 y 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (*.f64 x (*.f64 y 2))) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (*.f64 y 2)) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x x)) (/.f64 x y) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 y 2))) 2) (cbrt.f64 (/.f64 1 (*.f64 y 2))) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (*.f64 y 2))) (sqrt.f64 (/.f64 1 (*.f64 y 2))) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (/.f64 x (*.f64 y 2)) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (/.f64 x (+.f64 x x)) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (/.f64 x (cbrt.f64 (*.f64 x (*.f64 y 2)))) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (*.f64 x (*.f64 y 2)))) (/.f64 x (sqrt.f64 (*.f64 x (*.f64 y 2)))) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) -1) (/.f64 (cbrt.f64 x) (*.f64 y 2)) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 x) (*.f64 y 2)) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (+.f64 x x)) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (+.f64 x x)) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (+.f64 x x)) (/.f64 (sqrt.f64 x) y) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x x)) (/.f64 (cbrt.f64 x) y) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (*.f64 x (*.f64 y 2))) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 x (*.f64 y 2))) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x (*.f64 y 2)))) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 y 2))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 x (*.f64 y 2)))) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 x (*.f64 y 2)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y 2)))) (neg.f64 (/.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y 2)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (*.f64 y 2)))) (neg.f64 (/.f64 1 (+.f64 x x)))))))) |
| 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 23287 to 14094 computations (39.5% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 550 | 2 | 552 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 550 | 4 | 554 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
| ✓ | 15.8b | (/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
| ▶ | 30.6b | (/.f64 1/2 y) |
| ▶ | 32.3b | (/.f64 -1/2 x) |
Compiled 30 to 22 computations (26.7% saved)
Compiled 7 to 5 computations (28.6% saved)
Compiled 7 to 5 computations (28.6% saved)
Compiled 2 to 2 computations (0% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 0 | 4 | 4 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
| ✓ | 15.8b | (/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
| ✓ | 30.6b | (/.f64 1/2 y) |
| ✓ | 32.3b | (/.f64 -1/2 x) |
Compiled 30 to 22 computations (26.7% saved)
| Inputs |
|---|
(/.f64 1/2 y) |
(/.f64 -1/2 x) |
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(/.f64 (-.f64 x y) (*.f64 (*.f64 x 2) y)) |
| Outputs |
|---|
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
3 calls:
| 5.0ms | y |
| 4.0ms | x |
| 4.0ms | (/.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 41 to 27 computations (34.1% saved)
Total -50.8b remaining (-463.8%)
Threshold costs -50.8b (-463.8%)
| Inputs |
|---|
(/.f64 1/2 y) |
(/.f64 -1/2 x) |
| Outputs |
|---|
(/.f64 -1/2 x) |
(/.f64 1/2 y) |
(/.f64 -1/2 x) |
(/.f64 1/2 y) |
(/.f64 -1/2 x) |
2 calls:
| 18.0ms | y |
| 18.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 13.7b | 5 | x |
| 11.0b | 5 | y |
Compiled 14 to 10 computations (28.6% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 1.0488955468420676e+25 | 1.4048190332409637e+28 |
| 20.0ms | 1.0223473303883558e-98 | 6.834699530242787e-93 |
| 19.0ms | 7.439949460997901e-132 | 3.6350993529419377e-131 |
| 18.0ms | -3.678261206788128e+108 | -9.598498952559491e+104 |
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 | 22 | 58 |
| 1 | 24 | 58 |
| 2 | 31 | 58 |
| 3 | 33 | 58 |
| 4 | 34 | 58 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 -1/2 x) (/.f64 -1/2 y)) |
(if (<=.f64 y -3678261206788128090675306821748706088190430452884195643218450483140717989953039954504866442000531539181436928) (/.f64 -1/2 x) (if (<=.f64 y 2972883384869689/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528) (/.f64 1/2 y) (if (<=.f64 y 3147073113033543/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (/.f64 -1/2 x) (if (<=.f64 y 10488955468420675539042304) (/.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 -3678261206788128090675306821748706088190430452884195643218450483140717989953039954504866442000531539181436928) (/.f64 -1/2 x) (if (<=.f64 y 2972883384869689/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528) (/.f64 1/2 y) (if (<=.f64 y 3147073113033543/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272) (/.f64 -1/2 x) (if (<=.f64 y 10488955468420675539042304) (/.f64 1/2 y) (/.f64 -1/2 x))))) |
(/.f64 1/2 y) |
Compiled 47 to 35 computations (25.5% 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 43 to 31 computations (27.9% saved)
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