Time bar (total: 5.7s)
| 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 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 5 |
| 18.8% | 18.7% | 81.2% | 0.1% | 0% | 0% | 0% | 6 |
| 46.9% | 46.8% | 53.1% | 0.1% | 0% | 0% | 0% | 7 |
| 54.7% | 54.6% | 45.3% | 0.1% | 0% | 0% | 0% | 8 |
| 71.1% | 71% | 28.9% | 0.1% | 0% | 0% | 0% | 9 |
| 76.2% | 76.1% | 23.8% | 0.1% | 0% | 0% | 0% | 10 |
| 85% | 84.9% | 15% | 0.1% | 0% | 0% | 0% | 11 |
| 87.8% | 87.7% | 12.2% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 10 to 7 computations (30% saved)
| 1.1s | 8255× | body | 256 | valid |
| 0.0ms | 1× | body | 1024 | valid |
| 2× | egg-herbie |
| 916× | fma-neg_binary64 |
| 663× | div-sub_binary64 |
| 494× | times-frac_binary64 |
| 262× | distribute-rgt-in_binary64 |
| 240× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 24 | 20 |
| 2 | 37 | 20 |
| 3 | 64 | 20 |
| 4 | 131 | 20 |
| 5 | 270 | 20 |
| 6 | 543 | 20 |
| 7 | 1607 | 20 |
| 8 | 3651 | 20 |
| 9 | 4924 | 20 |
| 10 | 5320 | 20 |
| 11 | 5352 | 20 |
| 12 | 5376 | 20 |
| 13 | 5378 | 20 |
| 14 | 5478 | 20 |
| 15 | 5502 | 20 |
| 16 | 5502 | 20 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 1 y)) |
(/.f64 (-.f64 y x) (-.f64 1 x)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 1 y)) |
(/.f64 (-.f64 y x) (-.f64 1 x)) |
(/.f64 (-.f64 x y) (-.f64 x 1)) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 538× | fma-neg_binary64 |
| 369× | fma-def_binary64 |
| 322× | div-sub_binary64 |
| 270× | times-frac_binary64 |
| 138× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 15 | 10 |
| 2 | 22 | 10 |
| 3 | 37 | 10 |
| 4 | 70 | 10 |
| 5 | 120 | 10 |
| 6 | 227 | 10 |
| 7 | 446 | 10 |
| 8 | 1077 | 10 |
| 9 | 2418 | 10 |
| 10 | 3061 | 10 |
| 11 | 3344 | 10 |
| 12 | 3354 | 10 |
| 13 | 3354 | 10 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 1 y)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 1 y)) |
(/.f64 (-.f64 y x) (+.f64 y -1)) |
Compiled 16 to 10 computations (37.5% 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 y x) (+.f64 y -1)) |
Compiled 9 to 6 computations (33.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 y x) (+.f64 y -1)) |
Compiled 18 to 9 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (/.f64 (-.f64 y x) (+.f64 y -1)) |
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 y x) (+.f64 y -1)) |
| 1.0ms | y | @ | -inf | (/.f64 (-.f64 y x) (+.f64 y -1)) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 y x) (+.f64 y -1)) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 y x) (+.f64 y -1)) |
| 1× | batch-egg-rewrite |
| 665× | prod-diff_binary64 |
| 612× | unpow-prod-down_binary64 |
| 429× | log-prod_binary64 |
| 258× | egg-rr |
| 244× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 163 | 10 |
| 2 | 2503 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 y x) (+.f64 y -1)) |
| Outputs |
|---|
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-1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y -1)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 y -1)) (-.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 y x)) 2)) -1) (pow.f64 (/.f64 (+.f64 y -1) (cbrt.f64 (-.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2) (pow.f64 (cbrt.f64 (-.f64 y x)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y -1)) (cbrt.f64 (-.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y -1)) (pow.f64 (cbrt.f64 (-.f64 y x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 y -1)) (cbrt.f64 (-.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (sqrt.f64 (-.f64 y x))) -1) (pow.f64 (/.f64 (+.f64 y -1) (sqrt.f64 (-.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2) (sqrt.f64 (-.f64 y x))) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y -1)) (sqrt.f64 (-.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y -1)) (sqrt.f64 (-.f64 y x))) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 y -1)) (sqrt.f64 (-.f64 y x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 (pow.f64 y 3) (pow.f64 x 3))) -1) (/.f64 1 (fma.f64 x (+.f64 y x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 y -1) (-.f64 (*.f64 y y) (*.f64 x x))) -1) (/.f64 1 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 (+.f64 y -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 y x) (+.f64 1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 (+.f64 y -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 (+.f64 y -1)) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 y (+.f64 y -1)) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y -1))) 2) (cbrt.f64 (/.f64 y (+.f64 y -1))) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 y (+.f64 y -1))) (sqrt.f64 (/.f64 y (+.f64 y -1))) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 y (cbrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 y -1))) (/.f64 y (sqrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 y -1)) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 y -1)) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 y -1))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y -1))) (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y -1))) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (+.f64 -1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) (*.f64 y -1)) (neg.f64 (/.f64 x (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y 1) (neg.f64 (/.f64 x (+.f64 y -1)))))))) |
| 1× | egg-herbie |
| 581× | times-frac_binary64 |
| 470× | associate--l+_binary64 |
| 361× | fma-def_binary64 |
| 338× | associate--l-_binary64 |
| 299× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 468 |
| 1 | 204 | 411 |
| 2 | 754 | 360 |
| 3 | 3390 | 339 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) x) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) x)) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 1 (*.f64 -1 x)))) x))) |
1 |
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 x y)))))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))) (/.f64 x (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))))) (/.f64 x (pow.f64 y 2))) |
(/.f64 y (-.f64 y 1)) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) x) |
(fma.f64 -1 (*.f64 y (+.f64 1 (neg.f64 x))) x) |
(-.f64 x (*.f64 y (-.f64 1 x))) |
(fma.f64 y (+.f64 x -1) x) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) x)) |
(fma.f64 -1 (*.f64 y (+.f64 1 (neg.f64 x))) (fma.f64 -1 (*.f64 (+.f64 1 (neg.f64 x)) (*.f64 y y)) x)) |
(+.f64 x (*.f64 (-.f64 1 x) (+.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)))) |
(+.f64 x (*.f64 (*.f64 y (-.f64 1 x)) (-.f64 -1 y))) |
(fma.f64 (-.f64 1 x) (*.f64 y (-.f64 -1 y)) x) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 1 (*.f64 -1 x)))) x))) |
(fma.f64 -1 (*.f64 y (+.f64 1 (neg.f64 x))) (fma.f64 -1 (*.f64 (+.f64 1 (neg.f64 x)) (*.f64 y y)) (fma.f64 -1 (*.f64 (+.f64 1 (neg.f64 x)) (pow.f64 y 3)) x))) |
(+.f64 (*.f64 (-.f64 1 x) (+.f64 (*.f64 (neg.f64 y) y) (neg.f64 (pow.f64 y 3)))) (-.f64 x (*.f64 y (-.f64 1 x)))) |
(+.f64 (fma.f64 y (+.f64 x -1) x) (*.f64 (*.f64 y (*.f64 y (-.f64 1 x))) (-.f64 -1 y))) |
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 (*.f64 (*.f64 y y) (-.f64 -1 y)) y))) |
1 |
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 1 (/.f64 (neg.f64 x) y))) |
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y))) |
(-.f64 1 (/.f64 (+.f64 x -1) y)) |
(+.f64 1 (/.f64 (-.f64 1 x) y)) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 (neg.f64 x) y))))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (-.f64 1 (/.f64 x (*.f64 y y))) (/.f64 x y)))) |
(+.f64 (-.f64 1 (/.f64 (+.f64 x -1) y)) (/.f64 (-.f64 1 x) (*.f64 y y))) |
(+.f64 1 (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 -1 (/.f64 -1 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 x y)))))))) |
(+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (fma.f64 -1 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 (neg.f64 x) y) (/.f64 1 (pow.f64 y 3)))))))) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 1 (+.f64 (-.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x y)) (/.f64 x (*.f64 y y))) (/.f64 1 (*.f64 y y)))) (/.f64 x (pow.f64 y 3)))) |
(-.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 1 (pow.f64 y 3))) (/.f64 (-.f64 1 x) y)) (/.f64 x (pow.f64 y 3))) |
(+.f64 (+.f64 1 (/.f64 1 y)) (+.f64 (-.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 x y)) (/.f64 (-.f64 1 x) (pow.f64 y 3)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y))) |
(+.f64 (/.f64 1 y) (+.f64 1 (/.f64 (neg.f64 x) y))) |
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y))) |
(-.f64 1 (/.f64 (+.f64 x -1) y)) |
(+.f64 1 (/.f64 (-.f64 1 x) y)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))) (/.f64 x (pow.f64 y 2))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 (neg.f64 x) y))))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (-.f64 1 (/.f64 x (*.f64 y y))) (/.f64 x y)))) |
(+.f64 (-.f64 1 (/.f64 (+.f64 x -1) y)) (/.f64 (-.f64 1 x) (*.f64 y y))) |
(+.f64 1 (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 -1 (/.f64 -1 y)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))))) (/.f64 x (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (+.f64 x -1) y) (/.f64 (+.f64 x -1) (pow.f64 y 3)))))) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) (-.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (/.f64 x (*.f64 y y))))) |
(+.f64 1 (+.f64 (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 -1 (/.f64 -1 (*.f64 y y)))) (/.f64 (-.f64 1 x) (*.f64 y y)))) |
(+.f64 1 (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 (+.f64 -1 (/.f64 -1 (*.f64 y y))) (/.f64 -1 y)))) |
(/.f64 y (-.f64 y 1)) |
(/.f64 y (+.f64 y -1)) |
(/.f64 y (+.f64 -1 y)) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y))) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(/.f64 (neg.f64 x) (+.f64 y -1)) |
(/.f64 (neg.f64 x) (+.f64 -1 y)) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y))) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(/.f64 (neg.f64 x) (+.f64 y -1)) |
(/.f64 (neg.f64 x) (+.f64 -1 y)) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y))) |
Compiled 11380 to 7813 computations (31.3% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 275 | 7 | 282 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 275 | 8 | 283 |
| Status | Error | Program |
|---|---|---|
| ▶ | 29.7b | (/.f64 (neg.f64 x) (+.f64 -1 y)) |
| 39.2b | 1 | |
| ▶ | 0.1b | (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 y x)) |
| ✓ | 0.0b | (/.f64 (-.f64 y x) (+.f64 y -1)) |
| ▶ | 31.8b | (+.f64 1 (/.f64 (-.f64 1 x) y)) |
| ▶ | 33.1b | (/.f64 y (-.f64 y 1)) |
| 38.2b | x | |
| ▶ | 16.8b | (*.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1)) (+.f64 y 1)) |
Compiled 113 to 81 computations (28.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (+.f64 y -1)) |
| ✓ | 0.1b | (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 y x)) |
Compiled 26 to 16 computations (38.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 y x)) |
| 1.0ms | y | @ | inf | (/.f64 1 (+.f64 y -1)) |
| 1.0ms | y | @ | -inf | (/.f64 1 (+.f64 y -1)) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 y x)) |
| 1.0ms | y | @ | 0 | (/.f64 1 (+.f64 y -1)) |
| 1× | batch-egg-rewrite |
| 441× | log-prod_binary64 |
| 440× | prod-diff_binary64 |
| 340× | exp-prod_binary64 |
| 304× | pow-prod-down_binary64 |
| 251× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 193 | 17 |
| 2 | 2625 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 y x)) |
(/.f64 1 (+.f64 y -1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 y x) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 1 (+.f64 y -1))) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 y -1)) y) (*.f64 (/.f64 1 (+.f64 y -1)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y (+.f64 y -1)) (/.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y -1) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 y x) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (/.f64 (+.f64 y -1) (cbrt.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (+.f64 y -1) (sqrt.f64 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 (+.f64 y -1) (fma.f64 x (+.f64 y x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (+.f64 y -1) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 y x)) (+.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 (+.f64 1 (neg.f64 y)) (fma.f64 x (+.f64 y x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (*.f64 y y) (*.f64 x x))) (*.f64 (+.f64 1 (neg.f64 y)) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) 1) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) 1) (*.f64 (+.f64 y x) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) -1) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (+.f64 1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) -1) (*.f64 (+.f64 y x) (+.f64 1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 y x) (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 y x) 1) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 y x) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 y x)) (+.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 1 (+.f64 y -1))) (fma.f64 x (+.f64 y x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (/.f64 1 (+.f64 y -1))) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 x (+.f64 y x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 (*.f64 y y) (*.f64 x x))) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 y x) -1) (+.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 (+.f64 y -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y -1) (-.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) 2)) (cbrt.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))) (sqrt.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 (+.f64 y -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 y x) (+.f64 y -1)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) (+.f64 y -1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 (+.f64 y -1)) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 y -1)) y (*.f64 (/.f64 1 (+.f64 y -1)) (neg.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 y -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 y -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 y -1))) (cbrt.f64 (pow.f64 (+.f64 y -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 y -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 y -1) -1/2) (pow.f64 (+.f64 y -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) -2) (/.f64 1 (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) (*.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 y y -1)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y -1) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y -1) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y -1) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y -1) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y -1)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (+.f64 1 (neg.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 y -1)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 y -1))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y -1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 y -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y -1) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 y -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 y -1)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 y -1)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y -1))) 1) 1)))))) |
| 1× | egg-herbie |
| 581× | times-frac_binary64 |
| 483× | fma-def_binary64 |
| 369× | sub-neg_binary64 |
| 332× | associate-+l+_binary64 |
| 301× | unsub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 647 |
| 1 | 254 | 576 |
| 2 | 897 | 522 |
| 3 | 3913 | 504 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) x) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) x)) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 1 (*.f64 -1 x)))) x))) |
1 |
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 x y)))))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))) (/.f64 x (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))))) (/.f64 x (pow.f64 y 2))) |
(/.f64 y (-.f64 y 1)) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
-1 |
(-.f64 (*.f64 -1 y) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y)) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y))) 1) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4))))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4))))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) x) |
(fma.f64 -1 (*.f64 y (+.f64 1 (neg.f64 x))) x) |
(-.f64 x (*.f64 y (-.f64 1 x))) |
(fma.f64 y (+.f64 x -1) x) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) x)) |
(fma.f64 -1 (*.f64 y (+.f64 1 (neg.f64 x))) (fma.f64 -1 (*.f64 (+.f64 1 (neg.f64 x)) (*.f64 y y)) x)) |
(+.f64 x (*.f64 (-.f64 1 x) (neg.f64 (fma.f64 y y y)))) |
(+.f64 x (*.f64 (+.f64 x -1) (fma.f64 y y y))) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 1 (*.f64 -1 x)))) x))) |
(fma.f64 -1 (*.f64 y (+.f64 1 (neg.f64 x))) (fma.f64 -1 (*.f64 (+.f64 1 (neg.f64 x)) (*.f64 y y)) (fma.f64 -1 (*.f64 (+.f64 1 (neg.f64 x)) (pow.f64 y 3)) x))) |
(+.f64 (-.f64 x (*.f64 (-.f64 1 x) (pow.f64 y 3))) (*.f64 (-.f64 1 x) (neg.f64 (fma.f64 y y y)))) |
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 (neg.f64 y) (*.f64 y (fma.f64 y y y))))) |
(+.f64 x (*.f64 (-.f64 y (*.f64 x y)) (-.f64 -1 (fma.f64 y y y)))) |
1 |
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (+.f64 (/.f64 1 y) 1) (/.f64 (neg.f64 x) y)) |
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y))) |
(+.f64 1 (/.f64 (-.f64 1 x) y)) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))) |
(+.f64 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))) (+.f64 1 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 (neg.f64 x) y)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (-.f64 1 (/.f64 x (*.f64 y y))) (/.f64 x y)))) |
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 (+.f64 x -1) y)) |
(+.f64 1 (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 -1 (/.f64 -1 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 x y)))))))) |
(+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (+.f64 (/.f64 1 (*.f64 y y)) 1) (fma.f64 -1 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 (neg.f64 x) y) (/.f64 1 (pow.f64 y 3))))))) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (-.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x y)) (/.f64 x (*.f64 y y))))) (/.f64 x (pow.f64 y 3)))) |
(-.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 1 (pow.f64 y 3))) (/.f64 (-.f64 1 x) y)) (/.f64 x (pow.f64 y 3))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 1 x) (*.f64 y y))) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (-.f64 1 x) y))) (/.f64 x (pow.f64 y 3))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y))) |
(+.f64 (+.f64 (/.f64 1 y) 1) (/.f64 (neg.f64 x) y)) |
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y))) |
(+.f64 1 (/.f64 (-.f64 1 x) y)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 x 1) y)))) (/.f64 x (pow.f64 y 2))) |
(+.f64 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))) (+.f64 1 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 (neg.f64 x) y)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (-.f64 1 (/.f64 x (*.f64 y y))) (/.f64 x y)))) |
(-.f64 (+.f64 1 (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 (+.f64 x -1) y)) |
(+.f64 1 (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 -1 (/.f64 -1 y)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))))) (/.f64 x (pow.f64 y 2))) |
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (+.f64 x -1) y) (/.f64 (+.f64 x -1) (pow.f64 y 3))))) (/.f64 x (*.f64 y y)))) |
(+.f64 (+.f64 1 (+.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 1 x) (pow.f64 y 3)))) (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 x (*.f64 y y)))) |
(+.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) (+.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y)))) |
(+.f64 1 (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 (+.f64 -1 (/.f64 -1 (*.f64 y y))) (/.f64 -1 y)))) |
(/.f64 y (-.f64 y 1)) |
(/.f64 y (+.f64 y -1)) |
(/.f64 y (+.f64 -1 y)) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y))) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(/.f64 (neg.f64 x) (+.f64 y -1)) |
(/.f64 (neg.f64 x) (+.f64 -1 y)) |
(/.f64 x (+.f64 (neg.f64 y) 1)) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y))) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(/.f64 (neg.f64 x) (+.f64 y -1)) |
(/.f64 (neg.f64 x) (+.f64 -1 y)) |
(/.f64 x (+.f64 (neg.f64 y) 1)) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 -1 y)) (/.f64 x (+.f64 -1 y))) |
-1 |
(-.f64 (*.f64 -1 y) 1) |
(fma.f64 -1 y -1) |
(-.f64 -1 y) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y)) 1) |
(+.f64 (neg.f64 (*.f64 y y)) (fma.f64 -1 y -1)) |
(fma.f64 -1 (fma.f64 y y y) -1) |
(-.f64 -1 (fma.f64 y y y)) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y))) 1) |
(+.f64 (fma.f64 -1 (*.f64 y y) (*.f64 -1 (+.f64 (pow.f64 y 3) y))) -1) |
(+.f64 -1 (+.f64 (neg.f64 (fma.f64 y y y)) (neg.f64 (pow.f64 y 3)))) |
(fma.f64 -1 (*.f64 y (fma.f64 y y y)) (-.f64 -1 y)) |
(*.f64 (fma.f64 y y 1) (-.f64 -1 y)) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) |
(+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4))))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4))))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) |
(+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4))))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4))))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 y (-.f64 y 1)) |
Compiled 12 to 8 computations (33.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 y (-.f64 y 1)) |
| 1.0ms | y | @ | inf | (/.f64 y (-.f64 y 1)) |
| 1.0ms | y | @ | -inf | (/.f64 y (-.f64 y 1)) |
| 1× | batch-egg-rewrite |
| 603× | pow1_binary64 |
| 565× | add-log-exp_binary64 |
| 564× | log1p-expm1-u_binary64 |
| 564× | expm1-log1p-u_binary64 |
| 554× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 111 | 7 |
| 2 | 1536 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (-.f64 y 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (+.f64 y -1))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y -1))) 2) (cbrt.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (+.f64 y -1))) (sqrt.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (+.f64 (neg.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y -1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 y (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 y -1))) (/.f64 y (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 y -1))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y -1) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (+.f64 (neg.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (+.f64 y -1)))))))) |
| 1× | egg-herbie |
| 631× | associate-/r*_binary64 |
| 629× | associate-/l/_binary64 |
| 467× | fma-neg_binary64 |
| 412× | fma-def_binary64 |
| 325× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 152 |
| 1 | 85 | 144 |
| 2 | 237 | 138 |
| 3 | 775 | 132 |
| 4 | 3325 | 132 |
| 5 | 5725 | 132 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 y) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y))) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (*.f64 -1 (pow.f64 y 4)) (*.f64 -1 y)))) |
1 |
(+.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))) |
1 |
(+.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))) |
| Outputs |
|---|
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y)) |
(fma.f64 -1 (*.f64 y y) (neg.f64 y)) |
(neg.f64 (fma.f64 y y y)) |
(*.f64 y (-.f64 -1 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y))) |
(fma.f64 -1 (*.f64 y y) (*.f64 -1 (+.f64 (pow.f64 y 3) y))) |
(-.f64 (-.f64 (neg.f64 y) (pow.f64 y 3)) (*.f64 y y)) |
(-.f64 (*.f64 (neg.f64 y) (fma.f64 y y y)) y) |
(*.f64 y (-.f64 -1 (fma.f64 y y y))) |
(neg.f64 (fma.f64 y (fma.f64 y y y) y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (*.f64 -1 (pow.f64 y 4)) (*.f64 -1 y)))) |
(fma.f64 -1 (*.f64 y y) (fma.f64 -1 (pow.f64 y 3) (*.f64 -1 (+.f64 (pow.f64 y 4) y)))) |
(-.f64 (-.f64 (-.f64 (neg.f64 y) (pow.f64 y 4)) (pow.f64 y 3)) (*.f64 y y)) |
(-.f64 (*.f64 (pow.f64 y 3) (-.f64 -1 y)) (fma.f64 y y y)) |
(*.f64 (-.f64 -1 y) (+.f64 y (pow.f64 y 3))) |
(*.f64 (+.f64 y (pow.f64 y 3)) (-.f64 -1 y)) |
1 |
(+.f64 (/.f64 1 y) 1) |
(+.f64 1 (/.f64 1 y)) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
(+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))) |
(+.f64 1 (+.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y))) |
(+.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 y))) |
(+.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 (pow.f64 y 3))))) |
(+.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))) |
1 |
(+.f64 (/.f64 1 y) 1) |
(+.f64 1 (/.f64 1 y)) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
(+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))) |
(+.f64 1 (+.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y))) |
(+.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 y))) |
(+.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 (pow.f64 y 3))))) |
(+.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (neg.f64 x) (+.f64 -1 y)) |
Compiled 16 to 9 computations (43.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (/.f64 (neg.f64 x) (+.f64 -1 y)) |
| 2.0ms | x | @ | 0 | (/.f64 (neg.f64 x) (+.f64 -1 y)) |
| 1.0ms | x | @ | inf | (/.f64 (neg.f64 x) (+.f64 -1 y)) |
| 1.0ms | y | @ | inf | (/.f64 (neg.f64 x) (+.f64 -1 y)) |
| 1.0ms | y | @ | 0 | (/.f64 (neg.f64 x) (+.f64 -1 y)) |
| 1× | batch-egg-rewrite |
| 748× | pow1_binary64 |
| 697× | add-log-exp_binary64 |
| 695× | log1p-expm1-u_binary64 |
| 695× | expm1-log1p-u_binary64 |
| 684× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 154 | 7 |
| 2 | 2226 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (neg.f64 x) (+.f64 -1 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 -1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 -1 y)) (/.f64 x (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) 2) (cbrt.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 -1 y))) (sqrt.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 -1 y)) 2)) (/.f64 x (cbrt.f64 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 y)) 2)) (/.f64 x (cbrt.f64 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 y)) 2)) (cbrt.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 -1 y))) (/.f64 x (sqrt.f64 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 y))) (/.f64 x (sqrt.f64 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 -1 (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 y y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (*.f64 y y))) (-.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 -1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 -1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -1 y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 -1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 -1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 -1 y)))))))) |
| 1× | egg-herbie |
| 753× | associate-/l*_binary64 |
| 573× | fma-def_binary64 |
| 421× | distribute-lft-out_binary64 |
| 363× | associate-*r/_binary64 |
| 314× | sub-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 313 |
| 1 | 105 | 300 |
| 2 | 283 | 285 |
| 3 | 923 | 267 |
| 4 | 3841 | 261 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
x |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) x)) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 (pow.f64 y 3) x) x))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(neg.f64 (/.f64 x (+.f64 y -1))) |
(/.f64 (neg.f64 x) (+.f64 -1 y)) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(neg.f64 (/.f64 x (+.f64 y -1))) |
(/.f64 (neg.f64 x) (+.f64 -1 y)) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(neg.f64 (/.f64 x (+.f64 y -1))) |
(/.f64 (neg.f64 x) (+.f64 -1 y)) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(neg.f64 (/.f64 x (+.f64 y -1))) |
(/.f64 (neg.f64 x) (+.f64 -1 y)) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(neg.f64 (/.f64 x (+.f64 y -1))) |
(/.f64 (neg.f64 x) (+.f64 -1 y)) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(neg.f64 (/.f64 x (+.f64 y -1))) |
(/.f64 (neg.f64 x) (+.f64 -1 y)) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(neg.f64 (/.f64 x (+.f64 y -1))) |
(/.f64 (neg.f64 x) (+.f64 -1 y)) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(neg.f64 (/.f64 x (+.f64 y -1))) |
(/.f64 (neg.f64 x) (+.f64 -1 y)) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(neg.f64 (/.f64 x (+.f64 y -1))) |
(/.f64 (neg.f64 x) (+.f64 -1 y)) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(neg.f64 (/.f64 x (+.f64 y -1))) |
(/.f64 (neg.f64 x) (+.f64 -1 y)) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(neg.f64 (/.f64 x (+.f64 y -1))) |
(/.f64 (neg.f64 x) (+.f64 -1 y)) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(neg.f64 (/.f64 x (+.f64 y -1))) |
(/.f64 (neg.f64 x) (+.f64 -1 y)) |
x |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) x)) |
(fma.f64 y x (fma.f64 (*.f64 y y) x x)) |
(*.f64 x (+.f64 y (fma.f64 y y 1))) |
(+.f64 x (*.f64 y (fma.f64 x y x))) |
(fma.f64 x (fma.f64 y y y) x) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 (pow.f64 y 3) x) x))) |
(fma.f64 y x (fma.f64 (*.f64 y y) x (fma.f64 (pow.f64 y 3) x x))) |
(fma.f64 x y (fma.f64 x (*.f64 y y) (fma.f64 x (pow.f64 y 3) x))) |
(fma.f64 x y (fma.f64 x (fma.f64 y y (pow.f64 y 3)) x)) |
(*.f64 (fma.f64 y y 1) (fma.f64 x y x)) |
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(/.f64 (neg.f64 x) y) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))) |
(fma.f64 -1 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y))) |
(*.f64 (/.f64 x y) (+.f64 (/.f64 -1 y) -1)) |
(*.f64 (/.f64 -1 y) (+.f64 x (/.f64 x y))) |
(*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))) |
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (fma.f64 -1 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 x y)))) |
(-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) |
(-.f64 (*.f64 (/.f64 x y) (+.f64 (/.f64 -1 y) -1)) (/.f64 x (pow.f64 y 3))) |
(-.f64 (*.f64 (/.f64 -1 y) (+.f64 x (/.f64 x y))) (/.f64 x (pow.f64 y 3))) |
(*.f64 (/.f64 x y) (+.f64 -1 (+.f64 (/.f64 -1 (*.f64 y y)) (/.f64 -1 y)))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))) |
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (fma.f64 -1 (/.f64 x (pow.f64 y 3)) (fma.f64 -1 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 x y))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4))) |
(-.f64 (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 -1 y))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 4)))) |
(*.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 -1 (/.f64 -1 (*.f64 y y)))) |
(*.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))) (+.f64 -1 (/.f64 -1 y))) |
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(/.f64 (neg.f64 x) y) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))) |
(fma.f64 -1 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y))) |
(*.f64 (/.f64 x y) (+.f64 (/.f64 -1 y) -1)) |
(*.f64 (/.f64 -1 y) (+.f64 x (/.f64 x y))) |
(*.f64 (/.f64 x y) (+.f64 -1 (/.f64 -1 y))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))) |
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (fma.f64 -1 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 x y)))) |
(-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) |
(-.f64 (*.f64 (/.f64 x y) (+.f64 (/.f64 -1 y) -1)) (/.f64 x (pow.f64 y 3))) |
(-.f64 (*.f64 (/.f64 -1 y) (+.f64 x (/.f64 x y))) (/.f64 x (pow.f64 y 3))) |
(*.f64 (/.f64 x y) (+.f64 -1 (+.f64 (/.f64 -1 (*.f64 y y)) (/.f64 -1 y)))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))) |
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (fma.f64 -1 (/.f64 x (pow.f64 y 3)) (fma.f64 -1 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 x y))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4))) |
(-.f64 (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 -1 y))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 4)))) |
(*.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (+.f64 -1 (/.f64 -1 (*.f64 y y)))) |
(*.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))) (+.f64 -1 (/.f64 -1 y))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 1 x) y) |
Compiled 20 to 13 computations (35% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 1 x) y) |
| 1.0ms | y | @ | inf | (/.f64 (-.f64 1 x) y) |
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 1 x) y) |
| 1.0ms | y | @ | -inf | (/.f64 (-.f64 1 x) y) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 1 x) y) |
| 1× | batch-egg-rewrite |
| 756× | pow1_binary64 |
| 706× | add-log-exp_binary64 |
| 706× | log1p-expm1-u_binary64 |
| 706× | expm1-log1p-u_binary64 |
| 692× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 130 | 7 |
| 2 | 1797 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 x) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (sqrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 1 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 x) y))))))) |
| 1× | egg-herbie |
| 202× | fma-def_binary64 |
| 125× | fma-neg_binary64 |
| 44× | cancel-sign-sub-inv_binary64 |
| 31× | distribute-rgt-in_binary64 |
| 26× | unsub-neg_binary64 |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 124 |
| 1 | 16 | 106 |
| 2 | 25 | 106 |
| 3 | 35 | 106 |
| 4 | 48 | 106 |
| 5 | 74 | 106 |
| 6 | 130 | 106 |
| 7 | 253 | 106 |
| 8 | 494 | 79 |
| 9 | 732 | 79 |
| 10 | 829 | 79 |
| 11 | 895 | 79 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
| Outputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 1 y) (/.f64 x y)) |
(/.f64 (-.f64 1 x) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 1 y) (/.f64 x y)) |
(/.f64 (-.f64 1 x) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 1 y) (/.f64 x y)) |
(/.f64 (-.f64 1 x) y) |
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(/.f64 (neg.f64 x) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 1 y) (/.f64 x y)) |
(/.f64 (-.f64 1 x) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 1 y) (/.f64 x y)) |
(/.f64 (-.f64 1 x) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 1 y) (/.f64 x y)) |
(/.f64 (-.f64 1 x) y) |
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(/.f64 (neg.f64 x) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 1 y) (/.f64 x y)) |
(/.f64 (-.f64 1 x) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 1 y) (/.f64 x y)) |
(/.f64 (-.f64 1 x) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 1 y) (/.f64 x y)) |
(/.f64 (-.f64 1 x) y) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1)) (+.f64 y 1)) |
| ✓ | 16.1b | (/.f64 (-.f64 y x) (fma.f64 y y -1)) |
Compiled 36 to 18 computations (50% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/.f64 (-.f64 y x) (fma.f64 y y -1)) |
| 2.0ms | x | @ | inf | (/.f64 (-.f64 y x) (fma.f64 y y -1)) |
| 2.0ms | x | @ | 0 | (*.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1)) (+.f64 y 1)) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 y x) (fma.f64 y y -1)) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1)) (+.f64 y 1)) |
| 1× | batch-egg-rewrite |
| 558× | log-prod_binary64 |
| 453× | pow-prod-down_binary64 |
| 366× | fma-def_binary64 |
| 295× | pow2_binary64 |
| 217× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 1 | 223 | 21 |
| 2 | 3361 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 y x) (fma.f64 y y -1)) |
(*.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1)) (+.f64 y 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 y x) (fma.f64 y y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (fma.f64 y y -1)) (neg.f64 (/.f64 x (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 y (fma.f64 y y -1)) (/.f64 x (fma.f64 y y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y x) (/.f64 1 (fma.f64 y y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y x) (*.f64 (/.f64 1 (fma.f64 y y -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 y x) (fma.f64 y y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1))) 2) (cbrt.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1))) 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 (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1))) (sqrt.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1))) (*.f64 (sqrt.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 1 (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 y x)) (/.f64 1 (neg.f64 (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 y y -1)) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 y x)) (fma.f64 y y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) 1) (/.f64 (sqrt.f64 (-.f64 y x)) (fma.f64 y y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y y -1)) -2) (/.f64 (-.f64 y x) (cbrt.f64 (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (pow.f64 (cbrt.f64 (fma.f64 y y -1)) 2)) (cbrt.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (cbrt.f64 (fma.f64 y y -1)) 2)) (/.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y y -1) -1/2) (/.f64 (-.f64 y x) (sqrt.f64 (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (sqrt.f64 (fma.f64 y y -1))) (/.f64 (cbrt.f64 (-.f64 y x)) (sqrt.f64 (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y y -1) (-.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 (fma.f64 y y -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 y y -1) (-.f64 y x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 y x) (neg.f64 (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 (fma.f64 y y -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 (fma.f64 y y -1)) (neg.f64 (/.f64 x (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 y (fma.f64 y y -1)) (neg.f64 (/.f64 x (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 y y -1))) 2) (cbrt.f64 (/.f64 y (fma.f64 y y -1))) (neg.f64 (/.f64 x (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 y (fma.f64 y y -1))) (sqrt.f64 (/.f64 y (fma.f64 y y -1))) (neg.f64 (/.f64 x (fma.f64 y y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x 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| 1× | egg-herbie |
| 837× | times-frac_binary64 |
| 532× | fma-def_binary64 |
| 382× | associate-+l+_binary64 |
| 381× | associate-/l*_binary64 |
| 372× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 1095 |
| 1 | 260 | 930 |
| 2 | 916 | 829 |
| 3 | 4081 | 678 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1 y) x) |
(+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 y) x)) |
(+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 y) x))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 1 (pow.f64 y 3))))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 1 (pow.f64 y 3))))) |
(/.f64 y (-.f64 (pow.f64 y 2) 1)) |
(+.f64 (/.f64 y (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 x (-.f64 (pow.f64 y 2) 1)))) |
(+.f64 (/.f64 y (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 x (-.f64 (pow.f64 y 2) 1)))) |
(+.f64 (/.f64 y (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 x (-.f64 (pow.f64 y 2) 1)))) |
(*.f64 -1 (/.f64 x (-.f64 (pow.f64 y 2) 1))) |
(+.f64 (/.f64 y (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 x (-.f64 (pow.f64 y 2) 1)))) |
(+.f64 (/.f64 y (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 x (-.f64 (pow.f64 y 2) 1)))) |
(+.f64 (/.f64 y (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 x (-.f64 (pow.f64 y 2) 1)))) |
(*.f64 -1 (/.f64 x (-.f64 (pow.f64 y 2) 1))) |
(+.f64 (/.f64 y (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 x (-.f64 (pow.f64 y 2) 1)))) |
(+.f64 (/.f64 y (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 x (-.f64 (pow.f64 y 2) 1)))) |
(+.f64 (/.f64 y (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 x (-.f64 (pow.f64 y 2) 1)))) |
x |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) x) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) x)) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 1 (*.f64 -1 x)))) x))) |
1 |
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 x y)))))))) |
1 |
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (*.f64 -1 (/.f64 x y))))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 x y))))))) |
(/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1))) (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1))) (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1))) (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1))) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1))) |
(+.f64 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1)))) |
(+.f64 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1)))) |
(+.f64 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1)))) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1))) |
(+.f64 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1)))) |
(+.f64 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1)))) |
(+.f64 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1)))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1 y) x) |
(fma.f64 -1 y x) |
(-.f64 x y) |
(+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 y) x)) |
(fma.f64 (*.f64 y y) x (fma.f64 -1 y x)) |
(fma.f64 x (*.f64 y y) (-.f64 x y)) |
(+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 y) x))) |
(fma.f64 -1 (pow.f64 y 3) (fma.f64 (*.f64 y y) x (fma.f64 -1 y x))) |
(-.f64 (fma.f64 x (*.f64 y y) (-.f64 x y)) (pow.f64 y 3)) |
(+.f64 x (-.f64 (*.f64 (*.f64 y y) (-.f64 x y)) y)) |
(*.f64 (+.f64 (*.f64 y y) 1) (-.f64 x y)) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (/.f64 (neg.f64 x) (*.f64 y y))) |
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 1 y) (/.f64 (/.f64 x y) y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x (*.f64 y y)))) |
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (/.f64 x y) y))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 1 (pow.f64 y 3))))) |
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))) |
(-.f64 (+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x (*.f64 y y)))) (/.f64 x (pow.f64 y 4))) |
(+.f64 (/.f64 1 y) (-.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x (pow.f64 y 4))) (/.f64 x (*.f64 y y)))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 4)))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (/.f64 (neg.f64 x) (*.f64 y y))) |
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 1 y) (/.f64 (/.f64 x y) y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x (*.f64 y y)))) |
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (/.f64 x y) y))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 1 (pow.f64 y 3))))) |
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))) |
(-.f64 (+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x (*.f64 y y)))) (/.f64 x (pow.f64 y 4))) |
(+.f64 (/.f64 1 y) (-.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x (pow.f64 y 4))) (/.f64 x (*.f64 y y)))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 4)))) |
(/.f64 y (-.f64 (pow.f64 y 2) 1)) |
(/.f64 y (+.f64 (*.f64 y y) -1)) |
(/.f64 y (fma.f64 y y -1)) |
(+.f64 (/.f64 y (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 x (-.f64 (pow.f64 y 2) 1)))) |
(+.f64 (/.f64 y (+.f64 (*.f64 y y) -1)) (/.f64 (neg.f64 x) (+.f64 (*.f64 y y) -1))) |
(-.f64 (/.f64 y (fma.f64 y y -1)) (/.f64 x (fma.f64 y y -1))) |
(+.f64 (/.f64 y (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 x (-.f64 (pow.f64 y 2) 1)))) |
(+.f64 (/.f64 y (+.f64 (*.f64 y y) -1)) (/.f64 (neg.f64 x) (+.f64 (*.f64 y y) -1))) |
(-.f64 (/.f64 y (fma.f64 y y -1)) (/.f64 x (fma.f64 y y -1))) |
(+.f64 (/.f64 y (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 x (-.f64 (pow.f64 y 2) 1)))) |
(+.f64 (/.f64 y (+.f64 (*.f64 y y) -1)) (/.f64 (neg.f64 x) (+.f64 (*.f64 y y) -1))) |
(-.f64 (/.f64 y (fma.f64 y y -1)) (/.f64 x (fma.f64 y y -1))) |
(*.f64 -1 (/.f64 x (-.f64 (pow.f64 y 2) 1))) |
(/.f64 (neg.f64 x) (+.f64 (*.f64 y y) -1)) |
(/.f64 (neg.f64 x) (fma.f64 y y -1)) |
(+.f64 (/.f64 y (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 x (-.f64 (pow.f64 y 2) 1)))) |
(+.f64 (/.f64 y (+.f64 (*.f64 y y) -1)) (/.f64 (neg.f64 x) (+.f64 (*.f64 y y) -1))) |
(-.f64 (/.f64 y (fma.f64 y y -1)) (/.f64 x (fma.f64 y y -1))) |
(+.f64 (/.f64 y (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 x (-.f64 (pow.f64 y 2) 1)))) |
(+.f64 (/.f64 y (+.f64 (*.f64 y y) -1)) (/.f64 (neg.f64 x) (+.f64 (*.f64 y y) -1))) |
(-.f64 (/.f64 y (fma.f64 y y -1)) (/.f64 x (fma.f64 y y -1))) |
(+.f64 (/.f64 y (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 x (-.f64 (pow.f64 y 2) 1)))) |
(+.f64 (/.f64 y (+.f64 (*.f64 y y) -1)) (/.f64 (neg.f64 x) (+.f64 (*.f64 y y) -1))) |
(-.f64 (/.f64 y (fma.f64 y y -1)) (/.f64 x (fma.f64 y y -1))) |
(*.f64 -1 (/.f64 x (-.f64 (pow.f64 y 2) 1))) |
(/.f64 (neg.f64 x) (+.f64 (*.f64 y y) -1)) |
(/.f64 (neg.f64 x) (fma.f64 y y -1)) |
(+.f64 (/.f64 y (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 x (-.f64 (pow.f64 y 2) 1)))) |
(+.f64 (/.f64 y (+.f64 (*.f64 y y) -1)) (/.f64 (neg.f64 x) (+.f64 (*.f64 y y) -1))) |
(-.f64 (/.f64 y (fma.f64 y y -1)) (/.f64 x (fma.f64 y y -1))) |
(+.f64 (/.f64 y (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 x (-.f64 (pow.f64 y 2) 1)))) |
(+.f64 (/.f64 y (+.f64 (*.f64 y y) -1)) (/.f64 (neg.f64 x) (+.f64 (*.f64 y y) -1))) |
(-.f64 (/.f64 y (fma.f64 y y -1)) (/.f64 x (fma.f64 y y -1))) |
(+.f64 (/.f64 y (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 x (-.f64 (pow.f64 y 2) 1)))) |
(+.f64 (/.f64 y (+.f64 (*.f64 y y) -1)) (/.f64 (neg.f64 x) (+.f64 (*.f64 y y) -1))) |
(-.f64 (/.f64 y (fma.f64 y y -1)) (/.f64 x (fma.f64 y y -1))) |
x |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) x) |
(fma.f64 -1 (*.f64 y (+.f64 1 (neg.f64 x))) x) |
(-.f64 x (*.f64 y (-.f64 1 x))) |
(fma.f64 y (+.f64 x -1) x) |
(-.f64 (fma.f64 x y x) y) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) x)) |
(fma.f64 -1 (*.f64 y (+.f64 1 (neg.f64 x))) (fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 1 (neg.f64 x))) x)) |
(+.f64 x (*.f64 (-.f64 1 x) (+.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)))) |
(+.f64 x (*.f64 (+.f64 x -1) (fma.f64 y y y))) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 1 (*.f64 -1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 1 (*.f64 -1 x)))) x))) |
(fma.f64 -1 (*.f64 y (+.f64 1 (neg.f64 x))) (fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 1 (neg.f64 x))) (fma.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 1 (neg.f64 x))) x))) |
(+.f64 (*.f64 (-.f64 1 x) (+.f64 (*.f64 (neg.f64 y) y) (neg.f64 (pow.f64 y 3)))) (-.f64 x (*.f64 y (-.f64 1 x)))) |
(+.f64 (fma.f64 (pow.f64 y 3) (+.f64 x -1) x) (*.f64 (+.f64 x -1) (fma.f64 y y y))) |
(+.f64 x (*.f64 (*.f64 y (-.f64 1 x)) (-.f64 -1 (fma.f64 y y y)))) |
1 |
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 1 (/.f64 (neg.f64 x) y))) |
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y))) |
(+.f64 1 (/.f64 (-.f64 1 x) y)) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))))) |
(+.f64 (/.f64 1 y) (+.f64 (+.f64 (/.f64 1 (*.f64 y y)) 1) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (-.f64 1 (/.f64 x (*.f64 y y))) (/.f64 x y)))) |
(+.f64 1 (+.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 (-.f64 1 x) y))) |
(+.f64 1 (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 (/.f64 -1 y) -1))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 x y)))))))) |
(+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (+.f64 (/.f64 1 (*.f64 y y)) 1) (+.f64 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) (/.f64 (neg.f64 x) y))))) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (-.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x (*.f64 y y))) (/.f64 x y)))) (/.f64 x (pow.f64 y 3)))) |
(+.f64 (-.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 1 (/.f64 (-.f64 1 x) y)))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 1 (/.f64 x (pow.f64 y 3)))) (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 (/.f64 -1 y) -1))) |
1 |
(+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 1 (/.f64 (neg.f64 x) y))) |
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y))) |
(+.f64 1 (/.f64 (-.f64 1 x) y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (*.f64 -1 (/.f64 x y))))) |
(+.f64 (/.f64 1 y) (+.f64 (+.f64 (/.f64 1 (*.f64 y y)) 1) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (-.f64 1 (/.f64 x (*.f64 y y))) (/.f64 x y)))) |
(+.f64 1 (+.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 (-.f64 1 x) y))) |
(+.f64 1 (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 (/.f64 -1 y) -1))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 x y))))))) |
(+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (+.f64 (/.f64 1 (*.f64 y y)) 1) (+.f64 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) (/.f64 (neg.f64 x) y))))) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (-.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x (*.f64 y y))) (/.f64 x y)))) (/.f64 x (pow.f64 y 3)))) |
(+.f64 (-.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 1 (/.f64 (-.f64 1 x) y)))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 1 (/.f64 x (pow.f64 y 3)))) (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 (/.f64 -1 y) -1))) |
(/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)) |
(/.f64 (*.f64 y (+.f64 y 1)) (+.f64 (*.f64 y y) -1)) |
(*.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y 1)) |
(/.f64 (fma.f64 y y y) (fma.f64 y y -1)) |
(/.f64 y (+.f64 y -1)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1))) (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1))) |
(fma.f64 -1 (/.f64 (*.f64 x (+.f64 y 1)) (+.f64 (*.f64 y y) -1)) (/.f64 (*.f64 y (+.f64 y 1)) (+.f64 (*.f64 y y) -1))) |
(-.f64 (*.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y 1)) (*.f64 (/.f64 (+.f64 y 1) (fma.f64 y y -1)) x)) |
(-.f64 (/.f64 (fma.f64 y y y) (fma.f64 y y -1)) (/.f64 (fma.f64 x y x) (fma.f64 y y -1))) |
(*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 y x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1))) (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1))) |
(fma.f64 -1 (/.f64 (*.f64 x (+.f64 y 1)) (+.f64 (*.f64 y y) -1)) (/.f64 (*.f64 y (+.f64 y 1)) (+.f64 (*.f64 y y) -1))) |
(-.f64 (*.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y 1)) (*.f64 (/.f64 (+.f64 y 1) (fma.f64 y y -1)) x)) |
(-.f64 (/.f64 (fma.f64 y y y) (fma.f64 y y -1)) (/.f64 (fma.f64 x y x) (fma.f64 y y -1))) |
(*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 y x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1))) (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1))) |
(fma.f64 -1 (/.f64 (*.f64 x (+.f64 y 1)) (+.f64 (*.f64 y y) -1)) (/.f64 (*.f64 y (+.f64 y 1)) (+.f64 (*.f64 y y) -1))) |
(-.f64 (*.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y 1)) (*.f64 (/.f64 (+.f64 y 1) (fma.f64 y y -1)) x)) |
(-.f64 (/.f64 (fma.f64 y y y) (fma.f64 y y -1)) (/.f64 (fma.f64 x y x) (fma.f64 y y -1))) |
(*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 y x)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1))) |
(neg.f64 (/.f64 (*.f64 x (+.f64 y 1)) (+.f64 (*.f64 y y) -1))) |
(/.f64 (*.f64 (neg.f64 x) (+.f64 y 1)) (fma.f64 y y -1)) |
(/.f64 (neg.f64 (fma.f64 x y x)) (fma.f64 y y -1)) |
(/.f64 (neg.f64 x) (+.f64 y -1)) |
(+.f64 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1)))) |
(fma.f64 -1 (/.f64 (*.f64 x (+.f64 y 1)) (+.f64 (*.f64 y y) -1)) (/.f64 (*.f64 y (+.f64 y 1)) (+.f64 (*.f64 y y) -1))) |
(-.f64 (*.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y 1)) (*.f64 (/.f64 (+.f64 y 1) (fma.f64 y y -1)) x)) |
(-.f64 (/.f64 (fma.f64 y y y) (fma.f64 y y -1)) (/.f64 (fma.f64 x y x) (fma.f64 y y -1))) |
(*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 y x)) |
(+.f64 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1)))) |
(fma.f64 -1 (/.f64 (*.f64 x (+.f64 y 1)) (+.f64 (*.f64 y y) -1)) (/.f64 (*.f64 y (+.f64 y 1)) (+.f64 (*.f64 y y) -1))) |
(-.f64 (*.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y 1)) (*.f64 (/.f64 (+.f64 y 1) (fma.f64 y y -1)) x)) |
(-.f64 (/.f64 (fma.f64 y y y) (fma.f64 y y -1)) (/.f64 (fma.f64 x y x) (fma.f64 y y -1))) |
(*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 y x)) |
(+.f64 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1)))) |
(fma.f64 -1 (/.f64 (*.f64 x (+.f64 y 1)) (+.f64 (*.f64 y y) -1)) (/.f64 (*.f64 y (+.f64 y 1)) (+.f64 (*.f64 y y) -1))) |
(-.f64 (*.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y 1)) (*.f64 (/.f64 (+.f64 y 1) (fma.f64 y y -1)) x)) |
(-.f64 (/.f64 (fma.f64 y y y) (fma.f64 y y -1)) (/.f64 (fma.f64 x y x) (fma.f64 y y -1))) |
(*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 y x)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1))) |
(neg.f64 (/.f64 (*.f64 x (+.f64 y 1)) (+.f64 (*.f64 y y) -1))) |
(/.f64 (*.f64 (neg.f64 x) (+.f64 y 1)) (fma.f64 y y -1)) |
(/.f64 (neg.f64 (fma.f64 x y x)) (fma.f64 y y -1)) |
(/.f64 (neg.f64 x) (+.f64 y -1)) |
(+.f64 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1)))) |
(fma.f64 -1 (/.f64 (*.f64 x (+.f64 y 1)) (+.f64 (*.f64 y y) -1)) (/.f64 (*.f64 y (+.f64 y 1)) (+.f64 (*.f64 y y) -1))) |
(-.f64 (*.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y 1)) (*.f64 (/.f64 (+.f64 y 1) (fma.f64 y y -1)) x)) |
(-.f64 (/.f64 (fma.f64 y y y) (fma.f64 y y -1)) (/.f64 (fma.f64 x y x) (fma.f64 y y -1))) |
(*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 y x)) |
(+.f64 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1)))) |
(fma.f64 -1 (/.f64 (*.f64 x (+.f64 y 1)) (+.f64 (*.f64 y y) -1)) (/.f64 (*.f64 y (+.f64 y 1)) (+.f64 (*.f64 y y) -1))) |
(-.f64 (*.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y 1)) (*.f64 (/.f64 (+.f64 y 1) (fma.f64 y y -1)) x)) |
(-.f64 (/.f64 (fma.f64 y y y) (fma.f64 y y -1)) (/.f64 (fma.f64 x y x) (fma.f64 y y -1))) |
(*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 y x)) |
(+.f64 (/.f64 (*.f64 y (+.f64 1 y)) (-.f64 (pow.f64 y 2) 1)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 y) x) (-.f64 (pow.f64 y 2) 1)))) |
(fma.f64 -1 (/.f64 (*.f64 x (+.f64 y 1)) (+.f64 (*.f64 y y) -1)) (/.f64 (*.f64 y (+.f64 y 1)) (+.f64 (*.f64 y y) -1))) |
(-.f64 (*.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y 1)) (*.f64 (/.f64 (+.f64 y 1) (fma.f64 y y -1)) x)) |
(-.f64 (/.f64 (fma.f64 y y y) (fma.f64 y y -1)) (/.f64 (fma.f64 x y x) (fma.f64 y y -1))) |
(*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 y x)) |
Compiled 6964 to 4177 computations (40% saved)
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 451 | 10 | 461 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 456 | 13 | 469 |
| Status | Error | Program |
|---|---|---|
| ▶ | 33.2b | (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (+.f64 y -1) (+.f64 y x))) |
| ✓ | 29.7b | (/.f64 (neg.f64 x) (+.f64 -1 y)) |
| 38.2b | x | |
| 54.6b | (/.f64 (neg.f64 x) y) | |
| 33.2b | (*.f64 (/.f64 1 (+.f64 y -1)) y) | |
| 39.2b | 1 | |
| ✓ | 33.1b | (/.f64 y (-.f64 y 1)) |
| ▶ | 33.1b | (*.f64 -1 (-.f64 y x)) |
| ▶ | 56.9b | (neg.f64 y) |
| 38.3b | (*.f64 x (+.f64 y 1)) | |
| ▶ | 31.7b | (+.f64 1 (/.f64 (neg.f64 x) y)) |
| ✓ | 0.0b | (/.f64 (-.f64 y x) (+.f64 y -1)) |
| ▶ | 38.3b | (+.f64 (*.f64 y x) x) |
Compiled 160 to 110 computations (31.3% saved)
Compiled 17 to 7 computations (58.8% saved)
Compiled 5 to 3 computations (40% saved)
Compiled 13 to 6 computations (53.8% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 y x) x) |
Compiled 12 to 4 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (+.f64 (*.f64 y x) x) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 y x) x) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 y x) x) |
| 0.0ms | y | @ | inf | (+.f64 (*.f64 y x) x) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 y x) x) |
| 1× | batch-egg-rewrite |
| 633× | pow1_binary64 |
| 590× | add-log-exp_binary64 |
| 589× | log1p-expm1-u_binary64 |
| 589× | expm1-log1p-u_binary64 |
| 577× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 5 |
| 1 | 112 | 5 |
| 2 | 1610 | 5 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 y x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x x)) (pow.f64 (cbrt.f64 (fma.f64 y x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x x)) 2) (cbrt.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x x)) (sqrt.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (-.f64 x (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (-.f64 x (*.f64 y x)))) (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y x) x) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (-.f64 x (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (-.f64 (*.f64 y x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (-.f64 x (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) 2)) (-.f64 x (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) x))))) |
| 1× | egg-herbie |
| 66× | fma-def_binary64 |
| 53× | fma-neg_binary64 |
| 20× | unsub-neg_binary64 |
| 16× | distribute-lft-in_binary64 |
| 16× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 93 |
| 1 | 27 | 93 |
| 2 | 58 | 69 |
| 3 | 139 | 69 |
| 4 | 236 | 69 |
| 5 | 334 | 69 |
| 6 | 394 | 69 |
| 1× | saturated |
| Inputs |
|---|
x |
(*.f64 y x) |
(*.f64 y x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
| Outputs |
|---|
x |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 y) 1) x)) |
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 y -1) (+.f64 y x)) |
| ✓ | 4.4b | (-.f64 (*.f64 y y) (*.f64 x x)) |
| ✓ | 31.9b | (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (+.f64 y -1) (+.f64 y x))) |
Compiled 46 to 16 computations (65.2% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (+.f64 y -1) (+.f64 y x))) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (+.f64 y -1) (+.f64 y x))) |
| 1.0ms | y | @ | -inf | (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (+.f64 y -1) (+.f64 y x))) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (+.f64 y -1) (+.f64 y x))) |
| 1.0ms | y | @ | inf | (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (+.f64 y -1) (+.f64 y x))) |
| 1× | batch-egg-rewrite |
| 741× | log-prod_binary64 |
| 740× | fma-def_binary64 |
| 372× | fma-neg_binary64 |
| 239× | log-div_binary64 |
| 237× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 42 |
| 1 | 267 | 30 |
| 2 | 4450 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (+.f64 y -1) (+.f64 y x))) |
(-.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (+.f64 y -1) (+.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (+.f64 y -1)) (/.f64 y (+.f64 y x))) (neg.f64 (*.f64 (/.f64 x (+.f64 y -1)) (/.f64 x (+.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 y x) (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 y x) (+.f64 y -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 y (+.f64 y -1)) (/.f64 y (+.f64 y x))) (*.f64 (/.f64 x (+.f64 y -1)) (/.f64 x (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 y x) (+.f64 y -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y x) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (+.f64 y x) (*.f64 y (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y -1) y (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y -1) x (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y x) y (*.f64 (+.f64 y x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y x) -1 (*.f64 (+.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (+.f64 y -1)) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (+.f64 y -1)) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2) (*.f64 (cbrt.f64 (+.f64 y -1)) x) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2) (*.f64 (cbrt.f64 (+.f64 y -1)) y) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (+.f64 y -1)) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 y -1)) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y -1)) (*.f64 (sqrt.f64 (+.f64 y -1)) x) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y -1)) (*.f64 (sqrt.f64 (+.f64 y -1)) y) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 y -1)) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y -1)) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (+.f64 y -1)) 1 (*.f64 (*.f64 x (+.f64 y -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) (cbrt.f64 (*.f64 x (+.f64 y -1)))) (cbrt.f64 (*.f64 x (+.f64 y -1))) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 y (+.f64 y -1))) (cbrt.f64 (*.f64 y (+.f64 y -1)))) (cbrt.f64 (*.f64 y (+.f64 y -1))) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 x (+.f64 y -1))) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 y (sqrt.f64 (*.f64 y -1))) (hypot.f64 y (sqrt.f64 (*.f64 y -1))) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y -1))) (*.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y -1))) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (+.f64 y -1)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 y -1)) (sqrt.f64 x)) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 y -1))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 y -1))) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (+.f64 y -1)) (sqrt.f64 y)) (*.f64 (sqrt.f64 (+.f64 y -1)) (sqrt.f64 y)) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (*.f64 y (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y -1) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (*.f64 x (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x (+.f64 y -1))))))) |
| 1× | egg-herbie |
| 555× | sub-neg_binary64 |
| 434× | div-sub_binary64 |
| 369× | fma-def_binary64 |
| 331× | unsub-neg_binary64 |
| 227× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 1163 |
| 1 | 303 | 1047 |
| 2 | 1108 | 946 |
| 3 | 5473 | 856 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 y (-.f64 x 1)) x) |
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (pow.f64 (-.f64 x 1) 2) x))))) x)) |
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (pow.f64 (-.f64 x 1) 2) x))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) x)) (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (pow.f64 (-.f64 x 1) 2) x))))) x))))) x))) |
1 |
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (pow.f64 y 2))))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 (-.f64 x 1) (-.f64 1 x)))) (-.f64 x 1)) (*.f64 -1 (*.f64 x (-.f64 1 x)))) (pow.f64 y 3)))))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (pow.f64 y 2))))) |
1 |
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (*.f64 (-.f64 x 1) (-.f64 1 x))) x)) (pow.f64 y 2))))) (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 x (-.f64 1 x))) (*.f64 -1 (*.f64 (-.f64 x 1) (-.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (*.f64 (-.f64 x 1) (-.f64 1 x))) x))))) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (*.f64 (-.f64 x 1) (-.f64 1 x))) x)) (pow.f64 y 2)))))) (/.f64 x y)) |
(/.f64 y (-.f64 y 1)) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(pow.f64 y 2) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(pow.f64 y 2) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(pow.f64 y 2) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(*.f64 -1 x) |
(+.f64 (*.f64 y (-.f64 x 1)) (*.f64 -1 x)) |
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (pow.f64 y 2) (*.f64 -1 x))) |
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (pow.f64 y 2) (*.f64 -1 x))) |
(pow.f64 y 2) |
(+.f64 (*.f64 y (-.f64 x 1)) (pow.f64 y 2)) |
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 -1 x) (pow.f64 y 2))) |
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 -1 x) (pow.f64 y 2))) |
(pow.f64 y 2) |
(+.f64 (*.f64 y (-.f64 x 1)) (pow.f64 y 2)) |
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 -1 x) (pow.f64 y 2))) |
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 -1 x) (pow.f64 y 2))) |
(*.f64 y (-.f64 y 1)) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1))) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1))) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1))) |
(*.f64 (-.f64 y 1) x) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1))) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1))) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1))) |
(*.f64 (-.f64 y 1) x) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1))) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1))) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 y (-.f64 x 1)) x) |
(fma.f64 y (+.f64 x -1) x) |
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (pow.f64 (-.f64 x 1) 2) x))))) x)) |
(fma.f64 y (+.f64 x -1) (fma.f64 (*.f64 y y) (-.f64 (-.f64 1 (/.f64 1 x)) (neg.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) x))) x)) |
(fma.f64 y (+.f64 x -1) (fma.f64 (*.f64 y y) (-.f64 1 (-.f64 (/.f64 1 x) (/.f64 (pow.f64 (+.f64 x -1) 2) x))) x)) |
(fma.f64 y (+.f64 x -1) (fma.f64 y (*.f64 y (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) x) (/.f64 -1 x)))) x)) |
(fma.f64 y (+.f64 x -1) (fma.f64 y (+.f64 y (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) x) (/.f64 -1 x)) y)) x)) |
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (pow.f64 (-.f64 x 1) 2) x))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) x)) (*.f64 -1 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 (pow.f64 (-.f64 x 1) 2) x))))) x))))) x))) |
(fma.f64 y (+.f64 x -1) (fma.f64 (*.f64 y y) (-.f64 (-.f64 1 (/.f64 1 x)) (neg.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) x))) (fma.f64 -1 (*.f64 (pow.f64 y 3) (*.f64 -1 (+.f64 (/.f64 (+.f64 x -1) x) (/.f64 (+.f64 x -1) (/.f64 x (-.f64 (-.f64 1 (/.f64 1 x)) (neg.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) x)))))))) x))) |
(fma.f64 y (+.f64 x -1) (fma.f64 (*.f64 y y) (-.f64 1 (-.f64 (/.f64 1 x) (/.f64 (pow.f64 (+.f64 x -1) 2) x))) (-.f64 x (*.f64 (pow.f64 y 3) (+.f64 (/.f64 (-.f64 1 x) x) (/.f64 (*.f64 (-.f64 1 x) (-.f64 1 (-.f64 (/.f64 1 x) (/.f64 (pow.f64 (+.f64 x -1) 2) x)))) x)))))) |
(+.f64 (fma.f64 y (+.f64 x -1) x) (*.f64 (*.f64 y y) (-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) x) (/.f64 -1 x))) (*.f64 y (*.f64 (+.f64 1 (/.f64 -1 x)) (-.f64 -1 (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) x) (/.f64 -1 x))))))))) |
(+.f64 x (fma.f64 y (+.f64 x -1) (*.f64 (*.f64 y y) (-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 x -1) 2) x) (/.f64 -1 x))) (*.f64 y (*.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 -1 (-.f64 (-.f64 -1 (/.f64 -1 x)) (/.f64 (pow.f64 (+.f64 x -1) 2) x))))))))) |
1 |
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y)) |
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y))) |
(+.f64 1 (-.f64 (/.f64 1 y) (/.f64 x y))) |
(+.f64 1 (/.f64 (-.f64 1 x) y)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (pow.f64 y 2))))) |
(-.f64 (+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1)) (fma.f64 -1 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 (+.f64 x -1) (/.f64 (*.f64 y y) (-.f64 1 x)))))) |
(+.f64 (-.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (/.f64 x y))) (-.f64 1 (-.f64 (+.f64 (/.f64 x y) (/.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) (*.f64 y y))) (/.f64 (/.f64 x y) y)))) |
(-.f64 1 (-.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 x (pow.f64 (+.f64 x -1) 2))) (*.f64 y y)) (/.f64 (-.f64 1 x) y))) |
(+.f64 1 (+.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 (-.f64 1 x) y))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 (-.f64 x 1) (-.f64 1 x)))) (-.f64 x 1)) (*.f64 -1 (*.f64 x (-.f64 1 x)))) (pow.f64 y 3)))))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 x y) (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 x)) (pow.f64 y 2))))) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (neg.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x (*.f64 (+.f64 x -1) (-.f64 1 x)))) (+.f64 x -1) (*.f64 (neg.f64 x) (-.f64 1 x))) (pow.f64 y 3)))) (fma.f64 -1 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 (+.f64 x -1) (/.f64 (*.f64 y y) (-.f64 1 x))))))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (fma.f64 (+.f64 x -1) (-.f64 (*.f64 x (neg.f64 x)) (-.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) x)) (*.f64 (neg.f64 x) (-.f64 1 x))) (pow.f64 y 3))) (-.f64 (/.f64 1 y) (-.f64 (+.f64 (/.f64 x y) (/.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) (*.f64 y y))) (/.f64 (/.f64 x y) y)))) |
(+.f64 (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) (-.f64 (-.f64 (*.f64 x x) (+.f64 x (pow.f64 (+.f64 x -1) 2))) x)) (pow.f64 y 3))) (+.f64 (/.f64 (+.f64 (-.f64 x (*.f64 x x)) (pow.f64 (+.f64 x -1) 2)) (*.f64 y y)) (/.f64 (-.f64 1 x) y))) |
(+.f64 (-.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (+.f64 (/.f64 (+.f64 x -1) (*.f64 y y)) -1)) (/.f64 (-.f64 1 x) y)) |
1 |
(-.f64 (+.f64 (/.f64 1 y) 1) (/.f64 x y)) |
(+.f64 (/.f64 1 y) (-.f64 1 (/.f64 x y))) |
(+.f64 1 (-.f64 (/.f64 1 y) (/.f64 x y))) |
(+.f64 1 (/.f64 (-.f64 1 x) y)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (*.f64 (-.f64 x 1) (-.f64 1 x))) x)) (pow.f64 y 2))))) (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1)) (fma.f64 -1 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 (+.f64 x -1) (/.f64 (*.f64 y y) (-.f64 1 x)))))) |
(+.f64 (-.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (/.f64 x y))) (-.f64 1 (-.f64 (+.f64 (/.f64 x y) (/.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) (*.f64 y y))) (/.f64 (/.f64 x y) y)))) |
(-.f64 1 (-.f64 (/.f64 (-.f64 (*.f64 x x) (+.f64 x (pow.f64 (+.f64 x -1) 2))) (*.f64 y y)) (/.f64 (-.f64 1 x) y))) |
(+.f64 1 (+.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 (-.f64 1 x) y))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 x (-.f64 1 x))) (*.f64 -1 (*.f64 (-.f64 x 1) (-.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (*.f64 (-.f64 x 1) (-.f64 1 x))) x))))) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (*.f64 (-.f64 x 1) (-.f64 1 x))) x)) (pow.f64 y 2)))))) (/.f64 x y)) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (neg.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x (*.f64 (+.f64 x -1) (-.f64 1 x)))) (+.f64 x -1) (*.f64 (neg.f64 x) (-.f64 1 x))) (pow.f64 y 3)))) (fma.f64 -1 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 (+.f64 x -1) (/.f64 (*.f64 y y) (-.f64 1 x))))))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (fma.f64 (+.f64 x -1) (-.f64 (*.f64 x (neg.f64 x)) (-.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) x)) (*.f64 (neg.f64 x) (-.f64 1 x))) (pow.f64 y 3))) (-.f64 (/.f64 1 y) (-.f64 (+.f64 (/.f64 x y) (/.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) (*.f64 y y))) (/.f64 (/.f64 x y) y)))) |
(+.f64 (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) (-.f64 (-.f64 (*.f64 x x) (+.f64 x (pow.f64 (+.f64 x -1) 2))) x)) (pow.f64 y 3))) (+.f64 (/.f64 (+.f64 (-.f64 x (*.f64 x x)) (pow.f64 (+.f64 x -1) 2)) (*.f64 y y)) (/.f64 (-.f64 1 x) y))) |
(+.f64 (-.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (+.f64 (/.f64 (+.f64 x -1) (*.f64 y y)) -1)) (/.f64 (-.f64 1 x) y)) |
(/.f64 y (-.f64 y 1)) |
(/.f64 y (+.f64 y -1)) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 y -1)) (/.f64 x (+.f64 y -1))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 y -1)) (/.f64 x (+.f64 y -1))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 y -1)) (/.f64 x (+.f64 y -1))) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(/.f64 (neg.f64 x) (+.f64 y -1)) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 y -1)) (/.f64 x (+.f64 y -1))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 y -1)) (/.f64 x (+.f64 y -1))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 y -1)) (/.f64 x (+.f64 y -1))) |
(*.f64 -1 (/.f64 x (-.f64 y 1))) |
(/.f64 (neg.f64 x) (+.f64 y -1)) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 y -1)) (/.f64 x (+.f64 y -1))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 y -1)) (/.f64 x (+.f64 y -1))) |
(+.f64 (/.f64 y (-.f64 y 1)) (*.f64 -1 (/.f64 x (-.f64 y 1)))) |
(+.f64 (/.f64 y (+.f64 y -1)) (/.f64 (neg.f64 x) (+.f64 y -1))) |
(-.f64 (/.f64 y (+.f64 y -1)) (/.f64 x (+.f64 y -1))) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(fma.f64 -1 (*.f64 x x) (*.f64 y y)) |
(-.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (neg.f64 (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(fma.f64 -1 (*.f64 x x) (*.f64 y y)) |
(-.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (neg.f64 (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(fma.f64 -1 (*.f64 x x) (*.f64 y y)) |
(-.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (neg.f64 (*.f64 x x))) |
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(fma.f64 -1 (*.f64 x x) (*.f64 y y)) |
(-.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (neg.f64 (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(fma.f64 -1 (*.f64 x x) (*.f64 y y)) |
(-.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (neg.f64 (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(fma.f64 -1 (*.f64 x x) (*.f64 y y)) |
(-.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (neg.f64 (*.f64 x x))) |
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(fma.f64 -1 (*.f64 x x) (*.f64 y y)) |
(-.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (neg.f64 (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(fma.f64 -1 (*.f64 x x) (*.f64 y y)) |
(-.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (neg.f64 (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(fma.f64 -1 (*.f64 x x) (*.f64 y y)) |
(-.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (neg.f64 (*.f64 x x))) |
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(fma.f64 -1 (*.f64 x x) (*.f64 y y)) |
(-.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (neg.f64 (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(fma.f64 -1 (*.f64 x x) (*.f64 y y)) |
(-.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (neg.f64 (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(fma.f64 -1 (*.f64 x x) (*.f64 y y)) |
(-.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (neg.f64 (*.f64 x x))) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(fma.f64 -1 (*.f64 x x) (*.f64 y y)) |
(-.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (neg.f64 (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(fma.f64 -1 (*.f64 x x) (*.f64 y y)) |
(-.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (neg.f64 (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(fma.f64 -1 (*.f64 x x) (*.f64 y y)) |
(-.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (neg.f64 (*.f64 x x))) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(fma.f64 -1 (*.f64 x x) (*.f64 y y)) |
(-.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (neg.f64 (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(fma.f64 -1 (*.f64 x x) (*.f64 y y)) |
(-.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (neg.f64 (*.f64 x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2)) |
(fma.f64 -1 (*.f64 x x) (*.f64 y y)) |
(-.f64 (*.f64 y y) (*.f64 x x)) |
(fma.f64 y y (neg.f64 (*.f64 x x))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 y (-.f64 x 1)) (*.f64 -1 x)) |
(fma.f64 y (+.f64 x -1) (neg.f64 x)) |
(-.f64 (*.f64 y (+.f64 x -1)) x) |
(-.f64 (-.f64 (*.f64 x y) y) x) |
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (pow.f64 y 2) (*.f64 -1 x))) |
(fma.f64 y (+.f64 x -1) (fma.f64 -1 x (*.f64 y y))) |
(-.f64 (*.f64 y (+.f64 (+.f64 x -1) y)) x) |
(-.f64 (*.f64 y (+.f64 x (+.f64 y -1))) x) |
(fma.f64 y (+.f64 x (+.f64 y -1)) (neg.f64 x)) |
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (pow.f64 y 2) (*.f64 -1 x))) |
(fma.f64 y (+.f64 x -1) (fma.f64 -1 x (*.f64 y y))) |
(-.f64 (*.f64 y (+.f64 (+.f64 x -1) y)) x) |
(-.f64 (*.f64 y (+.f64 x (+.f64 y -1))) x) |
(fma.f64 y (+.f64 x (+.f64 y -1)) (neg.f64 x)) |
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (*.f64 y (-.f64 x 1)) (pow.f64 y 2)) |
(fma.f64 y (+.f64 x -1) (*.f64 y y)) |
(*.f64 y (+.f64 (+.f64 x -1) y)) |
(*.f64 y (+.f64 x (+.f64 y -1))) |
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 -1 x) (pow.f64 y 2))) |
(fma.f64 y (+.f64 x -1) (fma.f64 -1 x (*.f64 y y))) |
(-.f64 (*.f64 y (+.f64 (+.f64 x -1) y)) x) |
(-.f64 (*.f64 y (+.f64 x (+.f64 y -1))) x) |
(fma.f64 y (+.f64 x (+.f64 y -1)) (neg.f64 x)) |
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 -1 x) (pow.f64 y 2))) |
(fma.f64 y (+.f64 x -1) (fma.f64 -1 x (*.f64 y y))) |
(-.f64 (*.f64 y (+.f64 (+.f64 x -1) y)) x) |
(-.f64 (*.f64 y (+.f64 x (+.f64 y -1))) x) |
(fma.f64 y (+.f64 x (+.f64 y -1)) (neg.f64 x)) |
(pow.f64 y 2) |
(*.f64 y y) |
(+.f64 (*.f64 y (-.f64 x 1)) (pow.f64 y 2)) |
(fma.f64 y (+.f64 x -1) (*.f64 y y)) |
(*.f64 y (+.f64 (+.f64 x -1) y)) |
(*.f64 y (+.f64 x (+.f64 y -1))) |
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 -1 x) (pow.f64 y 2))) |
(fma.f64 y (+.f64 x -1) (fma.f64 -1 x (*.f64 y y))) |
(-.f64 (*.f64 y (+.f64 (+.f64 x -1) y)) x) |
(-.f64 (*.f64 y (+.f64 x (+.f64 y -1))) x) |
(fma.f64 y (+.f64 x (+.f64 y -1)) (neg.f64 x)) |
(+.f64 (*.f64 y (-.f64 x 1)) (+.f64 (*.f64 -1 x) (pow.f64 y 2))) |
(fma.f64 y (+.f64 x -1) (fma.f64 -1 x (*.f64 y y))) |
(-.f64 (*.f64 y (+.f64 (+.f64 x -1) y)) x) |
(-.f64 (*.f64 y (+.f64 x (+.f64 y -1))) x) |
(fma.f64 y (+.f64 x (+.f64 y -1)) (neg.f64 x)) |
(*.f64 y (-.f64 y 1)) |
(*.f64 y (+.f64 y -1)) |
(-.f64 (*.f64 y y) y) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1))) |
(fma.f64 (+.f64 y -1) x (*.f64 y (+.f64 y -1))) |
(*.f64 (+.f64 y -1) (+.f64 y x)) |
(*.f64 (+.f64 y -1) (+.f64 x y)) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1))) |
(fma.f64 (+.f64 y -1) x (*.f64 y (+.f64 y -1))) |
(*.f64 (+.f64 y -1) (+.f64 y x)) |
(*.f64 (+.f64 y -1) (+.f64 x y)) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1))) |
(fma.f64 (+.f64 y -1) x (*.f64 y (+.f64 y -1))) |
(*.f64 (+.f64 y -1) (+.f64 y x)) |
(*.f64 (+.f64 y -1) (+.f64 x y)) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 x y) x) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1))) |
(fma.f64 (+.f64 y -1) x (*.f64 y (+.f64 y -1))) |
(*.f64 (+.f64 y -1) (+.f64 y x)) |
(*.f64 (+.f64 y -1) (+.f64 x y)) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1))) |
(fma.f64 (+.f64 y -1) x (*.f64 y (+.f64 y -1))) |
(*.f64 (+.f64 y -1) (+.f64 y x)) |
(*.f64 (+.f64 y -1) (+.f64 x y)) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1))) |
(fma.f64 (+.f64 y -1) x (*.f64 y (+.f64 y -1))) |
(*.f64 (+.f64 y -1) (+.f64 y x)) |
(*.f64 (+.f64 y -1) (+.f64 x y)) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 x y) x) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1))) |
(fma.f64 (+.f64 y -1) x (*.f64 y (+.f64 y -1))) |
(*.f64 (+.f64 y -1) (+.f64 y x)) |
(*.f64 (+.f64 y -1) (+.f64 x y)) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1))) |
(fma.f64 (+.f64 y -1) x (*.f64 y (+.f64 y -1))) |
(*.f64 (+.f64 y -1) (+.f64 y x)) |
(*.f64 (+.f64 y -1) (+.f64 x y)) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 y (-.f64 y 1))) |
(fma.f64 (+.f64 y -1) x (*.f64 y (+.f64 y -1))) |
(*.f64 (+.f64 y -1) (+.f64 y x)) |
(*.f64 (+.f64 y -1) (+.f64 x y)) |
Compiled 9104 to 3493 computations (61.6% saved)
13 alts after pruning (5 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 403 | 1 | 404 |
| Fresh | 1 | 4 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 404 | 13 | 417 |
| Status | Error | Program |
|---|---|---|
| ✓ | 33.2b | (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (+.f64 y -1) (+.f64 y x))) |
| ✓ | 29.7b | (/.f64 (neg.f64 x) (+.f64 -1 y)) |
| 38.2b | x | |
| ▶ | 54.6b | (/.f64 (neg.f64 x) y) |
| ▶ | 33.2b | (*.f64 (/.f64 1 (+.f64 y -1)) y) |
| 39.2b | 1 | |
| ✓ | 33.1b | (/.f64 y (-.f64 y 1)) |
| ✓ | 33.1b | (*.f64 -1 (-.f64 y x)) |
| ✓ | 56.9b | (neg.f64 y) |
| ✓ | 31.7b | (+.f64 1 (/.f64 (neg.f64 x) y)) |
| ✓ | 0.0b | (/.f64 (-.f64 y x) (+.f64 y -1)) |
| ✓ | 38.3b | (+.f64 (*.f64 y x) x) |
| ▶ | 38.3b | (*.f64 (+.f64 y 1) x) |
Compiled 95 to 66 computations (30.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 y 1) x) |
Compiled 13 to 8 computations (38.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (*.f64 (+.f64 y 1) x) |
| 1.0ms | x | @ | inf | (*.f64 (+.f64 y 1) x) |
| 1.0ms | x | @ | 0 | (*.f64 (+.f64 y 1) x) |
| 0.0ms | y | @ | 0 | (*.f64 (+.f64 y 1) x) |
| 0.0ms | y | @ | inf | (*.f64 (+.f64 y 1) x) |
| 1× | batch-egg-rewrite |
| 595× | pow1_binary64 |
| 552× | log1p-expm1-u_binary64 |
| 552× | expm1-log1p-u_binary64 |
| 551× | add-log-exp_binary64 |
| 540× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 122 | 7 |
| 2 | 1526 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 y 1) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 y 3)) x) (fma.f64 y y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 y) (log.f64 x))))))) |
| 1× | egg-herbie |
| 14× | fma-def_binary64 |
| 4× | associate-*r*_binary64 |
| 4× | associate-*l*_binary64 |
| 3× | *-lft-identity_binary64 |
| 3× | *-rgt-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 114 |
| 1 | 16 | 114 |
| 2 | 23 | 114 |
| 3 | 29 | 114 |
| 4 | 42 | 114 |
| 5 | 46 | 114 |
| 6 | 48 | 114 |
| 1× | saturated |
| Inputs |
|---|
x |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) x) |
(*.f64 y x) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) x) |
(*.f64 y x) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
| Outputs |
|---|
x |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(fma.f64 x y x) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 1 (+.f64 y -1)) | |
| ✓ | 0.1b | (*.f64 (/.f64 1 (+.f64 y -1)) y) |
Compiled 20 to 15 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 1 (+.f64 y -1)) y) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 1 (+.f64 y -1)) y) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 1 (+.f64 y -1)) y) |
| 1× | batch-egg-rewrite |
| 710× | pow1_binary64 |
| 661× | add-log-exp_binary64 |
| 660× | log1p-expm1-u_binary64 |
| 660× | expm1-log1p-u_binary64 |
| 649× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 7 |
| 1 | 144 | 7 |
| 2 | 1786 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (+.f64 y -1)) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (+.f64 y -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y -1) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (+.f64 y -1) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 y) (/.f64 (+.f64 y -1) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -1) (+.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (+.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y 1) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 y -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 y -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 y -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 y -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 y -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (+.f64 y -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 y -1)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 y -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (+.f64 y -1)))))))) |
| 1× | egg-herbie |
| 631× | associate-/r*_binary64 |
| 629× | associate-/l/_binary64 |
| 467× | fma-neg_binary64 |
| 412× | fma-def_binary64 |
| 325× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 152 |
| 1 | 85 | 144 |
| 2 | 237 | 138 |
| 3 | 775 | 132 |
| 4 | 3325 | 132 |
| 5 | 5725 | 132 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 y) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y))) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (*.f64 -1 (pow.f64 y 4)) (*.f64 -1 y)))) |
1 |
(+.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))) |
1 |
(+.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))) |
| Outputs |
|---|
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (*.f64 -1 y)) |
(fma.f64 -1 (*.f64 y y) (neg.f64 y)) |
(neg.f64 (fma.f64 y y y)) |
(*.f64 y (-.f64 -1 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (*.f64 -1 y))) |
(fma.f64 -1 (*.f64 y y) (*.f64 -1 (+.f64 (pow.f64 y 3) y))) |
(-.f64 (-.f64 (neg.f64 y) (pow.f64 y 3)) (*.f64 y y)) |
(-.f64 (*.f64 (neg.f64 y) (fma.f64 y y y)) y) |
(*.f64 y (-.f64 -1 (fma.f64 y y y))) |
(neg.f64 (fma.f64 y (fma.f64 y y y) y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (*.f64 -1 (pow.f64 y 4)) (*.f64 -1 y)))) |
(fma.f64 -1 (*.f64 y y) (fma.f64 -1 (pow.f64 y 3) (*.f64 -1 (+.f64 (pow.f64 y 4) y)))) |
(-.f64 (-.f64 (-.f64 (neg.f64 y) (pow.f64 y 4)) (pow.f64 y 3)) (*.f64 y y)) |
(-.f64 (*.f64 (pow.f64 y 3) (-.f64 -1 y)) (fma.f64 y y y)) |
(*.f64 (-.f64 -1 y) (+.f64 y (pow.f64 y 3))) |
(*.f64 (+.f64 y (pow.f64 y 3)) (-.f64 -1 y)) |
1 |
(+.f64 (/.f64 1 y) 1) |
(+.f64 1 (/.f64 1 y)) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
(+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))) |
(+.f64 1 (+.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y))) |
(+.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 y))) |
(+.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 (pow.f64 y 3))))) |
(+.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))) |
1 |
(+.f64 (/.f64 1 y) 1) |
(+.f64 1 (/.f64 1 y)) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
(+.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))) |
(+.f64 1 (+.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y))) |
(+.f64 1 (+.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 y))) |
(+.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 (pow.f64 y 3))))) |
(+.f64 1 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))) |
Compiled 10 to 4 computations (60% saved)
Compiled 1150 to 812 computations (29.4% saved)
13 alts after pruning (2 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 117 | 2 | 119 |
| Fresh | 2 | 0 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 10 | 10 |
| Total | 119 | 13 | 132 |
| Status | Error | Program |
|---|---|---|
| ✓ | 33.2b | (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (+.f64 y -1) (+.f64 y x))) |
| ✓ | 29.7b | (/.f64 (neg.f64 x) (+.f64 -1 y)) |
| ✓ | 54.6b | (/.f64 (neg.f64 x) y) |
| ✓ | 33.2b | (*.f64 (/.f64 1 (+.f64 y -1)) y) |
| 39.2b | 1 | |
| 38.2b | x | |
| ✓ | 33.1b | (*.f64 -1 (-.f64 y x)) |
| ✓ | 56.9b | (neg.f64 y) |
| ✓ | 31.7b | (+.f64 1 (/.f64 (neg.f64 x) y)) |
| ✓ | 0.0b | (/.f64 (-.f64 y x) (+.f64 y -1)) |
| ✓ | 33.1b | (/.f64 y (-.f64 y 1)) |
| ✓ | 38.3b | (+.f64 (*.f64 y x) x) |
| ✓ | 38.3b | (*.f64 (+.f64 y 1) x) |
Compiled 95 to 66 computations (30.5% saved)
| Inputs |
|---|
1 |
x |
x |
1 |
1 |
x |
(neg.f64 y) |
(/.f64 (neg.f64 x) y) |
(*.f64 (+.f64 y 1) x) |
(*.f64 -1 (-.f64 y x)) |
(*.f64 x (+.f64 y 1)) |
(+.f64 (*.f64 y x) x) |
(/.f64 y (-.f64 y 1)) |
(+.f64 1 (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) (+.f64 -1 y)) |
(*.f64 (/.f64 1 (+.f64 y -1)) y) |
(+.f64 1 (/.f64 (-.f64 1 x) y)) |
(/.f64 (-.f64 y x) (+.f64 y -1)) |
(/.f64 (-.f64 x y) (-.f64 1 y)) |
(*.f64 (/.f64 1 (+.f64 y -1)) (-.f64 y x)) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (+.f64 y -1) (+.f64 y x))) |
(*.f64 (/.f64 (-.f64 y x) (fma.f64 y y -1)) (+.f64 y 1)) |
| Outputs |
|---|
(/.f64 (-.f64 y x) (+.f64 y -1)) |
4 calls:
| 13.0ms | y |
| 12.0ms | x |
| 10.0ms | (/.f64 (-.f64 x y) (-.f64 1 y)) |
| 8.0ms | (/.f64 (-.f64 x y) (-.f64 1 y)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (/.f64 (-.f64 x y) (-.f64 1 y)) |
| 0.0b | 1 | (/.f64 (-.f64 x y) (-.f64 1 y)) |
Compiled 139 to 79 computations (43.2% saved)
| Inputs |
|---|
1 |
x |
x |
1 |
1 |
x |
(neg.f64 y) |
(/.f64 (neg.f64 x) y) |
(*.f64 (+.f64 y 1) x) |
(*.f64 -1 (-.f64 y x)) |
(*.f64 x (+.f64 y 1)) |
(+.f64 (*.f64 y x) x) |
(/.f64 y (-.f64 y 1)) |
(+.f64 1 (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) (+.f64 -1 y)) |
(*.f64 (/.f64 1 (+.f64 y -1)) y) |
(+.f64 1 (/.f64 (-.f64 1 x) y)) |
| Outputs |
|---|
(+.f64 1 (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (-.f64 y x)) |
(+.f64 1 (/.f64 (-.f64 1 x) y)) |
2 calls:
| 75.0ms | x |
| 24.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 11.3b | 9 | x |
| 2.4b | 3 | y |
Compiled 71 to 41 computations (42.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.05333276796375362 | 2.0344160612957536 |
| 17.0ms | -11.62750023525451 | -0.08364339780156106 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
1 |
x |
x |
1 |
1 |
x |
(neg.f64 y) |
(/.f64 (neg.f64 x) y) |
(*.f64 (+.f64 y 1) x) |
(*.f64 -1 (-.f64 y x)) |
(*.f64 x (+.f64 y 1)) |
(+.f64 (*.f64 y x) x) |
(/.f64 y (-.f64 y 1)) |
(+.f64 1 (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) (+.f64 -1 y)) |
(*.f64 (/.f64 1 (+.f64 y -1)) y) |
| Outputs |
|---|
(+.f64 1 (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (-.f64 y x)) |
(+.f64 1 (/.f64 (neg.f64 x) y)) |
2 calls:
| 70.0ms | x |
| 25.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 11.3b | 9 | x |
| 2.6b | 3 | y |
Compiled 64 to 36 computations (43.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.05333276796375362 | 2.0344160612957536 |
| 16.0ms | -11.62750023525451 | -0.08364339780156106 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
1 |
x |
x |
1 |
1 |
x |
(neg.f64 y) |
(/.f64 (neg.f64 x) y) |
(*.f64 (+.f64 y 1) x) |
(*.f64 -1 (-.f64 y x)) |
(*.f64 x (+.f64 y 1)) |
(+.f64 (*.f64 y x) x) |
(/.f64 y (-.f64 y 1)) |
| Outputs |
|---|
(/.f64 y (-.f64 y 1)) |
(*.f64 -1 (-.f64 y x)) |
(/.f64 (neg.f64 x) y) |
1 |
2 calls:
| 57.0ms | x |
| 27.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 19.6b | 9 | x |
| 7.9b | 4 | y |
Compiled 45 to 26 computations (42.2% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 2.221217525788742e+74 | 1.4760570389711633e+82 |
| 16.0ms | 0.05333276796375362 | 2.0344160612957536 |
| 15.0ms | -8.265278502386673e-14 | -2.9929425503623025e-43 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
1 |
x |
x |
1 |
1 |
x |
(neg.f64 y) |
(/.f64 (neg.f64 x) y) |
(*.f64 (+.f64 y 1) x) |
(*.f64 -1 (-.f64 y x)) |
(*.f64 x (+.f64 y 1)) |
(+.f64 (*.f64 y x) x) |
| Outputs |
|---|
1 |
(*.f64 -1 (-.f64 y x)) |
(/.f64 (neg.f64 x) y) |
1 |
2 calls:
| 44.0ms | x |
| 26.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 25.5b | 7 | x |
| 8.3b | 4 | y |
Compiled 40 to 23 computations (42.5% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 53.0ms | 2.221217525788742e+74 | 1.4760570389711633e+82 |
| 17.0ms | 0.05333276796375362 | 2.0344160612957536 |
| 16.0ms | -12489669798063233000.0 | -88589.22292491262 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
1 |
x |
x |
1 |
1 |
x |
(neg.f64 y) |
(/.f64 (neg.f64 x) y) |
(*.f64 (+.f64 y 1) x) |
| Outputs |
|---|
1 |
(*.f64 (+.f64 y 1) x) |
(/.f64 (neg.f64 x) y) |
1 |
2 calls:
| 71.0ms | x |
| 21.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 26.7b | 7 | x |
| 13.4b | 4 | y |
Compiled 25 to 15 computations (40% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 2.221217525788742e+74 | 1.4760570389711633e+82 |
| 168.0ms | 411729.85051168053 | 22805844.488909665 |
| 16.0ms | -0.010022286170008535 | -3.730815098577336e-5 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
1 |
x |
x |
1 |
1 |
x |
(neg.f64 y) |
(/.f64 (neg.f64 x) y) |
| Outputs |
|---|
1 |
x |
(/.f64 (neg.f64 x) y) |
1 |
2 calls:
| 152.0ms | x |
| 58.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 26.7b | 7 | x |
| 13.6b | 4 | y |
Compiled 20 to 12 computations (40% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 2.221217525788742e+74 | 1.4760570389711633e+82 |
| 18.0ms | 411729.85051168053 | 22805844.488909665 |
| 16.0ms | -12489669798063233000.0 | -88589.22292491262 |
Compiled 14 to 10 computations (28.6% saved)
Total -47.0b remaining (-299.8%)
Threshold costs -47.0b (-299.8%)
| Inputs |
|---|
1 |
x |
x |
1 |
1 |
x |
(neg.f64 y) |
| Outputs |
|---|
1 |
x |
1 |
2 calls:
| 32.0ms | x |
| 16.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 26.7b | 7 | x |
| 15.7b | 3 | y |
Compiled 16 to 10 computations (37.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.05333276796375362 | 2.0344160612957536 |
| 17.0ms | -12489669798063233000.0 | -88589.22292491262 |
Compiled 14 to 10 computations (28.6% saved)
| 1× | egg-herbie |
| 30× | cancel-sign-sub-inv_binary64 |
| 28× | distribute-rgt-neg-in_binary64 |
| 18× | distribute-lft-neg-in_binary64 |
| 18× | distribute-neg-in_binary64 |
| 17× | distribute-lft-neg-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 229 |
| 1 | 65 | 223 |
| 2 | 76 | 223 |
| 3 | 93 | 215 |
| 4 | 114 | 215 |
| 5 | 131 | 215 |
| 6 | 155 | 215 |
| 7 | 173 | 215 |
| 8 | 194 | 215 |
| 9 | 213 | 215 |
| 10 | 226 | 215 |
| 11 | 240 | 215 |
| 12 | 254 | 215 |
| 13 | 267 | 215 |
| 14 | 271 | 215 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 y x) (+.f64 y -1)) |
(if (<=.f64 y -6545700715842821/562949953421312) (+.f64 1 (/.f64 (neg.f64 x) y)) (if (<=.f64 y 3843030942851167/72057594037927936) (*.f64 -1 (-.f64 y x)) (+.f64 1 (/.f64 (-.f64 1 x) y)))) |
(if (<=.f64 y -6545700715842821/562949953421312) (+.f64 1 (/.f64 (neg.f64 x) y)) (if (<=.f64 y 3843030942851167/72057594037927936) (*.f64 -1 (-.f64 y x)) (+.f64 1 (/.f64 (neg.f64 x) y)))) |
(if (<=.f64 y -6548428284127467/79228162514264337593543950336) (/.f64 y (-.f64 y 1)) (if (<=.f64 y 3843030942851167/72057594037927936) (*.f64 -1 (-.f64 y x)) (if (<=.f64 y 222121752578874194091167239834629855969623409803649627883049077346811248640) (/.f64 (neg.f64 x) y) 1))) |
(if (<=.f64 y -12489669798063233024) 1 (if (<=.f64 y 3843030942851167/72057594037927936) (*.f64 -1 (-.f64 y x)) (if (<=.f64 y 222121752578874194091167239834629855969623409803649627883049077346811248640) (/.f64 (neg.f64 x) y) 1))) |
(if (<=.f64 y -5777454625363317/576460752303423488) 1 (if (<=.f64 y 7073464970938547/17179869184) (*.f64 (+.f64 y 1) x) (if (<=.f64 y 222121752578874194091167239834629855969623409803649627883049077346811248640) (/.f64 (neg.f64 x) y) 1))) |
(if (<=.f64 y -12489669798063233024) 1 (if (<=.f64 y 7073464970938547/17179869184) x (if (<=.f64 y 222121752578874194091167239834629855969623409803649627883049077346811248640) (/.f64 (neg.f64 x) y) 1))) |
(if (<=.f64 y -12489669798063233024) 1 (if (<=.f64 y 3843030942851167/72057594037927936) x 1)) |
1 |
| Outputs |
|---|
(/.f64 (-.f64 y x) (+.f64 y -1)) |
(if (<=.f64 y -6545700715842821/562949953421312) (+.f64 1 (/.f64 (neg.f64 x) y)) (if (<=.f64 y 3843030942851167/72057594037927936) (*.f64 -1 (-.f64 y x)) (+.f64 1 (/.f64 (-.f64 1 x) y)))) |
(if (<=.f64 y -6545700715842821/562949953421312) (+.f64 1 (/.f64 (neg.f64 x) y)) (if (<=.f64 y 3843030942851167/72057594037927936) (neg.f64 (-.f64 y x)) (+.f64 1 (/.f64 (-.f64 1 x) y)))) |
(if (<=.f64 y -6545700715842821/562949953421312) (-.f64 1 (/.f64 x y)) (if (<=.f64 y 3843030942851167/72057594037927936) (neg.f64 (-.f64 y x)) (+.f64 1 (/.f64 (-.f64 1 x) y)))) |
(if (<=.f64 y -6545700715842821/562949953421312) (-.f64 1 (/.f64 x y)) (if (<=.f64 y 3843030942851167/72057594037927936) (-.f64 x y) (+.f64 1 (/.f64 (-.f64 1 x) y)))) |
(if (<=.f64 y -6545700715842821/562949953421312) (+.f64 1 (/.f64 (neg.f64 x) y)) (if (<=.f64 y 3843030942851167/72057594037927936) (*.f64 -1 (-.f64 y x)) (+.f64 1 (/.f64 (neg.f64 x) y)))) |
(if (<=.f64 y -6545700715842821/562949953421312) (+.f64 1 (/.f64 (neg.f64 x) y)) (if (<=.f64 y 3843030942851167/72057594037927936) (neg.f64 (-.f64 y x)) (+.f64 1 (/.f64 (neg.f64 x) y)))) |
(if (<=.f64 y -6545700715842821/562949953421312) (-.f64 1 (/.f64 x y)) (if (<=.f64 y 3843030942851167/72057594037927936) (neg.f64 (-.f64 y x)) (-.f64 1 (/.f64 x y)))) |
(if (<=.f64 y -6545700715842821/562949953421312) (-.f64 1 (/.f64 x y)) (if (<=.f64 y 3843030942851167/72057594037927936) (-.f64 x y) (-.f64 1 (/.f64 x y)))) |
(if (<=.f64 y -6548428284127467/79228162514264337593543950336) (/.f64 y (-.f64 y 1)) (if (<=.f64 y 3843030942851167/72057594037927936) (*.f64 -1 (-.f64 y x)) (if (<=.f64 y 222121752578874194091167239834629855969623409803649627883049077346811248640) (/.f64 (neg.f64 x) y) 1))) |
(if (<=.f64 y -6548428284127467/79228162514264337593543950336) (/.f64 y (+.f64 y -1)) (if (<=.f64 y 3843030942851167/72057594037927936) (neg.f64 (-.f64 y x)) (if (<=.f64 y 222121752578874194091167239834629855969623409803649627883049077346811248640) (/.f64 (neg.f64 x) y) 1))) |
(if (<=.f64 y -6548428284127467/79228162514264337593543950336) (/.f64 y (+.f64 y -1)) (if (<=.f64 y 3843030942851167/72057594037927936) (-.f64 x y) (if (<=.f64 y 222121752578874194091167239834629855969623409803649627883049077346811248640) (/.f64 (neg.f64 x) y) 1))) |
(if (<=.f64 y -12489669798063233024) 1 (if (<=.f64 y 3843030942851167/72057594037927936) (*.f64 -1 (-.f64 y x)) (if (<=.f64 y 222121752578874194091167239834629855969623409803649627883049077346811248640) (/.f64 (neg.f64 x) y) 1))) |
(if (<=.f64 y -12489669798063233024) 1 (if (<=.f64 y 3843030942851167/72057594037927936) (neg.f64 (-.f64 y x)) (if (<=.f64 y 222121752578874194091167239834629855969623409803649627883049077346811248640) (/.f64 (neg.f64 x) y) 1))) |
(if (<=.f64 y -12489669798063233024) 1 (if (<=.f64 y 3843030942851167/72057594037927936) (-.f64 x y) (if (<=.f64 y 222121752578874194091167239834629855969623409803649627883049077346811248640) (/.f64 (neg.f64 x) y) 1))) |
(if (<=.f64 y -5777454625363317/576460752303423488) 1 (if (<=.f64 y 7073464970938547/17179869184) (*.f64 (+.f64 y 1) x) (if (<=.f64 y 222121752578874194091167239834629855969623409803649627883049077346811248640) (/.f64 (neg.f64 x) y) 1))) |
(if (<=.f64 y -5777454625363317/576460752303423488) 1 (if (<=.f64 y 7073464970938547/17179869184) (*.f64 x (+.f64 y 1)) (if (<=.f64 y 222121752578874194091167239834629855969623409803649627883049077346811248640) (/.f64 (neg.f64 x) y) 1))) |
(if (<=.f64 y -12489669798063233024) 1 (if (<=.f64 y 7073464970938547/17179869184) x (if (<=.f64 y 222121752578874194091167239834629855969623409803649627883049077346811248640) (/.f64 (neg.f64 x) y) 1))) |
(if (<=.f64 y -12489669798063233024) 1 (if (<=.f64 y 3843030942851167/72057594037927936) x 1)) |
1 |
Compiled 169 to 117 computations (30.8% saved)
| 1× | egg-herbie |
| 538× | fma-neg_binary64 |
| 369× | fma-def_binary64 |
| 322× | div-sub_binary64 |
| 270× | times-frac_binary64 |
| 138× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 15 | 10 |
| 2 | 22 | 10 |
| 3 | 37 | 10 |
| 4 | 70 | 10 |
| 5 | 120 | 10 |
| 6 | 227 | 10 |
| 7 | 446 | 10 |
| 8 | 1077 | 10 |
| 9 | 2418 | 10 |
| 10 | 3061 | 10 |
| 11 | 3344 | 10 |
| 12 | 3354 | 10 |
| 13 | 3354 | 10 |
| 1× | saturated |
Compiled 199 to 145 computations (27.1% saved)
Compiled 153 to 91 computations (40.5% saved)
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