Time bar (total: 8.4s)
| 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 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 51.6% | 50% | 46.8% | 0.1% | 3.1% | 0% | 0% | 7 |
| 61.3% | 59.3% | 37.5% | 0.1% | 3.1% | 0% | 0% | 8 |
| 72.3% | 67.1% | 25.8% | 0.1% | 7% | 0% | 0% | 9 |
| 78.2% | 72.6% | 20.3% | 0.1% | 7% | 0% | 0% | 10 |
| 85.1% | 76.9% | 13.5% | 0.1% | 9.6% | 0% | 0% | 11 |
| 88.3% | 79.8% | 10.5% | 0.1% | 9.6% | 0% | 0% | 12 |
Compiled 14 to 11 computations (21.4% saved)
| 968.0ms | 8256× | body | 256 | valid |
| 27.0ms | 281× | body | 256 | infinite |
| 2× | egg-herbie |
| 1884× | fma-def |
| 1114× | associate-+l- |
| 840× | fma-neg |
| 702× | +-commutative |
| 614× | associate--r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 62 |
| 1 | 47 | 54 |
| 2 | 113 | 46 |
| 3 | 221 | 46 |
| 4 | 544 | 42 |
| 5 | 1266 | 42 |
| 6 | 3115 | 42 |
| 7 | 4585 | 42 |
| 8 | 4872 | 42 |
| 9 | 4872 | 42 |
| 10 | 4872 | 42 |
| 11 | 5530 | 42 |
| 12 | 5530 | 42 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
(+.f64 (-.f64 (*.f64 y (-.f64 x 1)) (*.f64 x 1/2)) 918938533204673/1000000000000000) |
| Outputs |
|---|
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (-.f64 (*.f64 y (-.f64 x 1)) (*.f64 x 1/2)) 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1)) (*.f64 x 1/2))) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1) (*.f64 x -1/2))) |
(fma.f64 y (+.f64 x -1) (fma.f64 x -1/2 918938533204673/1000000000000000)) |
(fma.f64 x (+.f64 y -1/2) (-.f64 918938533204673/1000000000000000 y)) |
(-.f64 (fma.f64 x (+.f64 y -1/2) 918938533204673/1000000000000000) y) |
Compiled 15 to 12 computations (20% saved)
| 1× | egg-herbie |
| 1392× | fma-def |
| 764× | associate-+l+ |
| 706× | associate-+l- |
| 678× | associate--r+ |
| 540× | associate-+r+ |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 31 |
| 1 | 30 | 27 |
| 2 | 66 | 23 |
| 3 | 126 | 23 |
| 4 | 263 | 21 |
| 5 | 614 | 21 |
| 6 | 1497 | 21 |
| 7 | 2817 | 21 |
| 8 | 3922 | 21 |
| 9 | 4054 | 21 |
| 10 | 4081 | 21 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| Outputs |
|---|
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
(+.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (*.f64 y 1/2))) 918938533204673/1000000000000000) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
Compiled 59 to 41 computations (30.5% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 | 2 | 6 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 4 | 3 | 7 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
| ▶ | 0.0b | (+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
Compiled 23 to 17 computations (26.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) |
| ✓ | 0.0b | (*.f64 x (-.f64 y 1)) |
| ✓ | 0.0b | (+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
Compiled 38 to 26 computations (31.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| 1.0ms | y | @ | 0 | (+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| 1.0ms | x | @ | inf | (+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| 1.0ms | y | @ | inf | (+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| 1.0ms | x | @ | -inf | (+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| 1× | batch-egg-rewrite |
| 1716× | associate-*r/ |
| 1520× | associate-*l/ |
| 476× | associate-+l+ |
| 328× | associate-/r* |
| 288× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 69 |
| 1 | 278 | 61 |
| 2 | 3725 | 61 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
(*.f64 x (-.f64 y 1)) |
(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 y -1)) (-.f64 (-.f64 (*.f64 y 1/2) (fma.f64 -1/2 y (*.f64 y 1/2))) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (*.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 y -1)) (-.f64 (-.f64 (*.f64 y 1/2) (fma.f64 -1/2 y (*.f64 y 1/2))) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (*.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 y -1)) (-.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 -1/2 y (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) -918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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(*.f64 1/4 (*.f64 y y))) (*.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))) (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))))) (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3))) 1) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (+.f64 y -1)) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (fma.f64 -1/2 y (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y -1) x (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) (fma.f64 -1/2 y (*.f64 y 1/2)))))) (#(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 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 2) (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) (fma.f64 -1/2 y (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 2) (cbrt.f64 (*.f64 x (+.f64 y -1))) (*.f64 y -1/2)))))) |
| 1× | egg-herbie |
| 1318× | fma-def |
| 932× | associate-+l+ |
| 866× | associate-/l* |
| 806× | associate-+r+ |
| 736× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 804 | 20350 |
| 1 | 2077 | 17960 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
(-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
(-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
(-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
(*.f64 (-.f64 y 1) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(*.f64 (-.f64 y 1) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x))) |
(*.f64 y (-.f64 x 1/2)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2)))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2)))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2)))) |
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x))) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 -1 x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 -1/2 y) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 -1/2 y)) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 -1/2 y)) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 -1/2 y)) |
(*.f64 (-.f64 y 1) x) |
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x)) |
(*.f64 (-.f64 y 1) x) |
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x)) |
(*.f64 -1 x) |
(+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x)) |
(+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x)) |
(+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x)) |
(*.f64 y (-.f64 x 1/2)) |
(+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))) |
(+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))) |
(+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))) |
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x)) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x)) |
(+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x)) |
(-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000)) |
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (-.f64 (*.f64 y 1/2) (fma.f64 -1/2 y (*.f64 y 1/2))) 918938533204673/1000000000000000)) |
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (*.f64 y 1/2))))) |
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (-.f64 (*.f64 y 1/2) (fma.f64 -1/2 y (*.f64 y 1/2))) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (*.f64 y 1/2))))) |
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 -1/2 y (*.f64 y 1/2)))) |
(-.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) -918938533204673/1000000000000000) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))) 81061466795327/1000000000000000) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))) (-.f64 1 (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (*.f64 y 1/2))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y -1)))) (-.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y -1)))) (-.f64 1 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y -1)))) (+.f64 1 (fma.f64 y 1/2 -918938533204673/1000000000000000))) |
(-.f64 (exp.f64 (log.f64 (+.f64 1918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))) 1) |
(-.f64 (exp.f64 (log.f64 (+.f64 1918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))) (-.f64 1 (fma.f64 -1/2 y (*.f64 y 1/2)))) |
(-.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (*.f64 y 1/2)) |
(-.f64 (+.f64 (*.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (-.f64 (*.f64 y 1/2) (fma.f64 -1/2 y (*.f64 y 1/2)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))) (-.f64 (/.f64 (*.f64 1/4 (*.f64 y y)) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))) 918938533204673/1000000000000000)) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))) (-.f64 (/.f64 (*.f64 1/4 (*.f64 y y)) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (*.f64 y 1/2))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))))) (-.f64 (/.f64 (*.f64 1/8 (pow.f64 y 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))))) 918938533204673/1000000000000000)) |
(-.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))))) (-.f64 (/.f64 (*.f64 1/8 (pow.f64 y 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))))) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (*.f64 y 1/2))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 2) (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) -918938533204673/1000000000000000)) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) -918938533204673/1000000000000000))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 2) (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) -918938533204673/1000000000000000)) (-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) -918938533204673/1000000000000000)) (fma.f64 -1/2 y (*.f64 y 1/2)))) |
(-.f64 (+.f64 918938533204673/1000000000000000 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))) 1) |
(-.f64 (+.f64 918938533204673/1000000000000000 (/.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))) (/.f64 (*.f64 1/4 (*.f64 y y)) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))) |
(-.f64 (+.f64 918938533204673/1000000000000000 (/.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))))) (/.f64 (*.f64 1/8 (pow.f64 y 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))))) |
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 1/4 (*.f64 y y))))) (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y -1/2) (*.f64 y -1/2))) 1) (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y -1/2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 2) (*.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2)))) 1) (-.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (fma.f64 -1/2 y (*.f64 y 1/2)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (*.f64 y -1/2) 3)) 1) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 (*.f64 x (+.f64 y -1)) (*.f64 y -1/2))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 3) (pow.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) 3)) 1) (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 2) (-.f64 (*.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2))) (*.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (fma.f64 -1/2 y (*.f64 y 1/2)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 1/4 (*.f64 y y)))) 1) (neg.f64 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3)))) 1) (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3)))) (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 1/4 (*.f64 y y)))) (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))) (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3)))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 1/4 (*.f64 y y)))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 2)) (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (*.f64 x (+.f64 y -1)) 2)) (*.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 1/4 (*.f64 y y)))) (/.f64 1 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))) (+.f64 (*.f64 1/4 (*.f64 y y)) (pow.f64 (*.f64 x (+.f64 y -1)) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) 3) (pow.f64 (*.f64 1/4 (*.f64 y y)) 3)) (/.f64 1 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))) (+.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (*.f64 x (+.f64 y -1)) 2)) (+.f64 (*.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 1/4 (*.f64 y y))) (*.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 1/4 (*.f64 y y)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (*.f64 x (+.f64 y -1)) 3)) (*.f64 (*.f64 1/8 (pow.f64 y 3)) (*.f64 1/8 (pow.f64 y 3)))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))))) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) 3) (pow.f64 (*.f64 1/8 (pow.f64 y 3)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))))) (+.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (*.f64 x (+.f64 y -1)) 3)) (+.f64 (*.f64 (*.f64 1/8 (pow.f64 y 3)) (*.f64 1/8 (pow.f64 y 3))) (*.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 1/4 (*.f64 y y))) 1) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 1/4 (*.f64 y y))) (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))) (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 1/4 (*.f64 y y))) (*.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))) (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))))) (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3))) 1) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))))) |
(pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 1) |
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 3) |
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 2)) |
(log.f64 (exp.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))) |
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))) |
(exp.f64 (log.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))) |
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) |
(fma.f64 1 (*.f64 x (+.f64 y -1)) (*.f64 y -1/2)) |
(fma.f64 1 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (fma.f64 -1/2 y (*.f64 y 1/2))) |
(fma.f64 (+.f64 y -1) x (*.f64 y -1/2)) |
(fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) (fma.f64 -1/2 y (*.f64 y 1/2))) |
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 x (+.f64 y -1))) (*.f64 y -1/2)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 2) (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) (fma.f64 -1/2 y (*.f64 y 1/2))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 2) (cbrt.f64 (*.f64 x (+.f64 y -1))) (*.f64 y -1/2)) |
| Outputs |
|---|
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) |
(fma.f64 y -1/2 918938533204673/1000000000000000) |
(-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)) |
(-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)) |
(-.f64 (+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (*.f64 1/2 y)) |
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 y x) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 y x) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) (*.f64 1/2 y)) |
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(+.f64 918938533204673/1000000000000000 (neg.f64 x)) |
(-.f64 918938533204673/1000000000000000 x) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x))) |
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x))) |
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (*.f64 -1 x))) |
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (+.f64 x -1/2)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2)))) |
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2)))) |
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2)))) |
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2)) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000)) |
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) |
(*.f64 (neg.f64 y) (+.f64 1/2 (neg.f64 x))) |
(*.f64 (-.f64 1/2 x) (neg.f64 y)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (fma.f64 -1 (*.f64 y (+.f64 1/2 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 -1 (fma.f64 y (-.f64 1/2 x) x) 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (fma.f64 -1 (*.f64 y (+.f64 1/2 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 -1 (fma.f64 y (-.f64 1/2 x) x) 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x)))) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (fma.f64 -1 (*.f64 y (+.f64 1/2 (neg.f64 x))) (neg.f64 x))) |
(fma.f64 -1 (fma.f64 y (-.f64 1/2 x) x) 918938533204673/1000000000000000) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 y x) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 y x) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 y x) x) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 y x) x) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 y -1)) |
(-.f64 (*.f64 y x) x) |
(*.f64 -1/2 y) |
(*.f64 y -1/2) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 -1/2 y)) |
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 -1/2 y)) |
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(+.f64 (*.f64 (-.f64 y 1) x) (*.f64 -1/2 y)) |
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) |
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(+.f64 (*.f64 x (+.f64 y -1)) (+.f64 (*.f64 y -1/2) (fma.f64 (neg.f64 y) 1/2 (*.f64 y 1/2)))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 (*.f64 y 0))) |
(+.f64 (*.f64 x (+.f64 y -1)) (+.f64 (+.f64 (*.f64 y -1/2) (fma.f64 -1/2 y (*.f64 y 1/2))) (fma.f64 (neg.f64 y) 1/2 (*.f64 y 1/2)))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2))) |
(fma.f64 (*.f64 y 0) 2 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(+.f64 (*.f64 x (+.f64 y -1)) (+.f64 (*.f64 (*.f64 y -1/2) 1) (fma.f64 (neg.f64 y) 1/2 (*.f64 y 1/2)))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 (*.f64 y 0))) |
(+.f64 (*.f64 x (+.f64 y -1)) (+.f64 (*.f64 y -1/2) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/2))) (sqrt.f64 (*.f64 y 1/2)) (*.f64 y 1/2)))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 y))) (sqrt.f64 (*.f64 1/2 y)) (*.f64 1/2 y)))) |
(+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 1/2 y)) (sqrt.f64 (*.f64 1/2 y)))) (fma.f64 x (+.f64 y -1) (*.f64 y 0))) |
(+.f64 (*.f64 x (+.f64 y -1)) (+.f64 (+.f64 (*.f64 y -1/2) (fma.f64 -1/2 y (*.f64 y 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/2))) (sqrt.f64 (*.f64 y 1/2)) (*.f64 y 1/2)))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 y))) (sqrt.f64 (*.f64 1/2 y)) (*.f64 1/2 y))) |
(+.f64 (*.f64 y 0) (+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 1/2 y)) (sqrt.f64 (*.f64 1/2 y)))) (fma.f64 x (+.f64 y -1) (*.f64 y 0)))) |
(+.f64 (*.f64 x (+.f64 y -1)) (+.f64 (*.f64 (*.f64 y -1/2) 1) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/2))) (sqrt.f64 (*.f64 y 1/2)) (*.f64 y 1/2)))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 y))) (sqrt.f64 (*.f64 1/2 y)) (*.f64 1/2 y)))) |
(+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 1/2 y)) (sqrt.f64 (*.f64 1/2 y)))) (fma.f64 x (+.f64 y -1) (*.f64 y 0))) |
(+.f64 (*.f64 x (+.f64 y -1)) (+.f64 (*.f64 y -1/2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2) (*.f64 y 1/2)))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2) (*.f64 1/2 y)))) |
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2)) (fma.f64 x (+.f64 y -1) (*.f64 y 0))) |
(+.f64 (*.f64 x (+.f64 y -1)) (+.f64 (+.f64 (*.f64 y -1/2) (fma.f64 -1/2 y (*.f64 y 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2) (*.f64 y 1/2)))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2) (*.f64 1/2 y))) |
(+.f64 (*.f64 y 0) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2)) (fma.f64 x (+.f64 y -1) (*.f64 y 0)))) |
(+.f64 (*.f64 x (+.f64 y -1)) (+.f64 (*.f64 (*.f64 y -1/2) 1) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2) (*.f64 y 1/2)))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2) (*.f64 1/2 y)))) |
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2)) (fma.f64 x (+.f64 y -1) (*.f64 y 0))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (fma.f64 -1/2 y (*.f64 y 1/2))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 (*.f64 y 0))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2)))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2))) |
(fma.f64 (*.f64 y 0) 2 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (*.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) 1)) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 (*.f64 y 0))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (fma.f64 (*.f64 y -1/2) 1 (*.f64 y 1/2))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 (*.f64 y 0))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (fma.f64 (neg.f64 y) 1/2 (*.f64 y 1/2))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 (*.f64 y 0))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/2))) (sqrt.f64 (*.f64 y 1/2)) (*.f64 y 1/2))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 y))) (sqrt.f64 (*.f64 1/2 y)) (*.f64 1/2 y)))) |
(+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 1/2 y)) (sqrt.f64 (*.f64 1/2 y)))) (fma.f64 x (+.f64 y -1) (*.f64 y 0))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2) (*.f64 y 1/2))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2) (*.f64 1/2 y)))) |
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2)) (fma.f64 x (+.f64 y -1) (*.f64 y 0))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (+.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2))) (fma.f64 -1/2 y (*.f64 y 1/2)))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2)) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 (*.f64 (*.f64 y 0) 3))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (*.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) 1) (fma.f64 -1/2 y (*.f64 y 1/2)))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2))) |
(fma.f64 (*.f64 y 0) 2 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (*.f64 y -1/2) 1 (*.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2)))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2))) |
(fma.f64 (*.f64 y 0) 2 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (neg.f64 y) 1/2 (*.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2)))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2))) |
(fma.f64 (*.f64 y 0) 2 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/2))) (sqrt.f64 (*.f64 y 1/2)) (*.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2)))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 y))) (sqrt.f64 (*.f64 1/2 y)) (*.f64 1/2 y))) |
(+.f64 (*.f64 y 0) (+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 1/2 y)) (sqrt.f64 (*.f64 1/2 y)))) (fma.f64 x (+.f64 y -1) (*.f64 y 0)))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2) (*.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2)))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2) (*.f64 1/2 y))) |
(+.f64 (*.f64 y 0) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2)) (fma.f64 x (+.f64 y -1) (*.f64 y 0)))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (+.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2))))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2)) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 (*.f64 (*.f64 y 0) 3))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (+.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2))) (+.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2))))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (*.f64 2 (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2))) |
(+.f64 (-.f64 (*.f64 y (+.f64 x -1/2)) x) (*.f64 (*.f64 y 0) 4)) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (*.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) 1) (+.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2))))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2)) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 (*.f64 (*.f64 y 0) 3))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (*.f64 y -1/2) 1 (*.f64 y 1/2)) (+.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2))))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2)) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 (*.f64 (*.f64 y 0) 3))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (neg.f64 y) 1/2 (*.f64 y 1/2)) (+.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2))))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2)) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 (*.f64 (*.f64 y 0) 3))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/2))) (sqrt.f64 (*.f64 y 1/2)) (*.f64 y 1/2)) (+.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2))))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 y))) (sqrt.f64 (*.f64 1/2 y)) (*.f64 1/2 y))) |
(+.f64 (*.f64 (*.f64 y 0) 2) (+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 1/2 y)) (sqrt.f64 (*.f64 1/2 y)))) (fma.f64 x (+.f64 y -1) (*.f64 y 0)))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2) (*.f64 y 1/2)) (+.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2))))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2) (*.f64 1/2 y))) |
(+.f64 (*.f64 (*.f64 y 0) 2) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2)) (fma.f64 x (+.f64 y -1) (*.f64 y 0)))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (*.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) 1))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2))) |
(fma.f64 (*.f64 y 0) 2 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (+.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2))) (*.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) 1))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2)) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 (*.f64 (*.f64 y 0) 3))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (*.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) 1) (*.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) 1))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2))) |
(fma.f64 (*.f64 y 0) 2 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (*.f64 y -1/2) 1 (*.f64 y 1/2)) (*.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) 1))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2))) |
(fma.f64 (*.f64 y 0) 2 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (neg.f64 y) 1/2 (*.f64 y 1/2)) (*.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) 1))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2))) |
(fma.f64 (*.f64 y 0) 2 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/2))) (sqrt.f64 (*.f64 y 1/2)) (*.f64 y 1/2)) (*.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) 1))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 y))) (sqrt.f64 (*.f64 1/2 y)) (*.f64 1/2 y))) |
(+.f64 (*.f64 y 0) (+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 1/2 y)) (sqrt.f64 (*.f64 1/2 y)))) (fma.f64 x (+.f64 y -1) (*.f64 y 0)))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2) (*.f64 y 1/2)) (*.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) 1))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2) (*.f64 1/2 y))) |
(+.f64 (*.f64 y 0) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2)) (fma.f64 x (+.f64 y -1) (*.f64 y 0)))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (fma.f64 (*.f64 y -1/2) 1 (*.f64 y 1/2)))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2))) |
(fma.f64 (*.f64 y 0) 2 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (+.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2))) (fma.f64 (*.f64 y -1/2) 1 (*.f64 y 1/2)))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2)) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 (*.f64 (*.f64 y 0) 3))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (*.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) 1) (fma.f64 (*.f64 y -1/2) 1 (*.f64 y 1/2)))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2))) |
(fma.f64 (*.f64 y 0) 2 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (*.f64 y -1/2) 1 (*.f64 y 1/2)) (fma.f64 (*.f64 y -1/2) 1 (*.f64 y 1/2)))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2))) |
(fma.f64 (*.f64 y 0) 2 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (neg.f64 y) 1/2 (*.f64 y 1/2)) (fma.f64 (*.f64 y -1/2) 1 (*.f64 y 1/2)))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2))) |
(fma.f64 (*.f64 y 0) 2 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/2))) (sqrt.f64 (*.f64 y 1/2)) (*.f64 y 1/2)) (fma.f64 (*.f64 y -1/2) 1 (*.f64 y 1/2)))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 y))) (sqrt.f64 (*.f64 1/2 y)) (*.f64 1/2 y))) |
(+.f64 (*.f64 y 0) (+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 1/2 y)) (sqrt.f64 (*.f64 1/2 y)))) (fma.f64 x (+.f64 y -1) (*.f64 y 0)))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2) (*.f64 y 1/2)) (fma.f64 (*.f64 y -1/2) 1 (*.f64 y 1/2)))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2) (*.f64 1/2 y))) |
(+.f64 (*.f64 y 0) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2)) (fma.f64 x (+.f64 y -1) (*.f64 y 0)))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (fma.f64 (neg.f64 y) 1/2 (*.f64 y 1/2)))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2))) |
(fma.f64 (*.f64 y 0) 2 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (+.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2))) (fma.f64 (neg.f64 y) 1/2 (*.f64 y 1/2)))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2)) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 (*.f64 (*.f64 y 0) 3))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (*.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) 1) (fma.f64 (neg.f64 y) 1/2 (*.f64 y 1/2)))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2))) |
(fma.f64 (*.f64 y 0) 2 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (*.f64 y -1/2) 1 (*.f64 y 1/2)) (fma.f64 (neg.f64 y) 1/2 (*.f64 y 1/2)))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2))) |
(fma.f64 (*.f64 y 0) 2 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (neg.f64 y) 1/2 (*.f64 y 1/2)) (fma.f64 (neg.f64 y) 1/2 (*.f64 y 1/2)))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2))) |
(fma.f64 (*.f64 y 0) 2 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/2))) (sqrt.f64 (*.f64 y 1/2)) (*.f64 y 1/2)) (fma.f64 (neg.f64 y) 1/2 (*.f64 y 1/2)))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 y))) (sqrt.f64 (*.f64 1/2 y)) (*.f64 1/2 y))) |
(+.f64 (*.f64 y 0) (+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 1/2 y)) (sqrt.f64 (*.f64 1/2 y)))) (fma.f64 x (+.f64 y -1) (*.f64 y 0)))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2) (*.f64 y 1/2)) (fma.f64 (neg.f64 y) 1/2 (*.f64 y 1/2)))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2) (*.f64 1/2 y))) |
(+.f64 (*.f64 y 0) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2)) (fma.f64 x (+.f64 y -1) (*.f64 y 0)))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/2))) (sqrt.f64 (*.f64 y 1/2)) (*.f64 y 1/2)))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 y))) (sqrt.f64 (*.f64 1/2 y)) (*.f64 1/2 y))) |
(+.f64 (*.f64 y 0) (+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 1/2 y)) (sqrt.f64 (*.f64 1/2 y)))) (fma.f64 x (+.f64 y -1) (*.f64 y 0)))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (+.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/2))) (sqrt.f64 (*.f64 y 1/2)) (*.f64 y 1/2)))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 y))) (sqrt.f64 (*.f64 1/2 y)) (*.f64 1/2 y))) |
(+.f64 (*.f64 (*.f64 y 0) 2) (+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 1/2 y)) (sqrt.f64 (*.f64 1/2 y)))) (fma.f64 x (+.f64 y -1) (*.f64 y 0)))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (*.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) 1) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/2))) (sqrt.f64 (*.f64 y 1/2)) (*.f64 y 1/2)))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 y))) (sqrt.f64 (*.f64 1/2 y)) (*.f64 1/2 y))) |
(+.f64 (*.f64 y 0) (+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 1/2 y)) (sqrt.f64 (*.f64 1/2 y)))) (fma.f64 x (+.f64 y -1) (*.f64 y 0)))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (*.f64 y -1/2) 1 (*.f64 y 1/2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/2))) (sqrt.f64 (*.f64 y 1/2)) (*.f64 y 1/2)))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 y))) (sqrt.f64 (*.f64 1/2 y)) (*.f64 1/2 y))) |
(+.f64 (*.f64 y 0) (+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 1/2 y)) (sqrt.f64 (*.f64 1/2 y)))) (fma.f64 x (+.f64 y -1) (*.f64 y 0)))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (neg.f64 y) 1/2 (*.f64 y 1/2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/2))) (sqrt.f64 (*.f64 y 1/2)) (*.f64 y 1/2)))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 y))) (sqrt.f64 (*.f64 1/2 y)) (*.f64 1/2 y))) |
(+.f64 (*.f64 y 0) (+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 1/2 y)) (sqrt.f64 (*.f64 1/2 y)))) (fma.f64 x (+.f64 y -1) (*.f64 y 0)))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/2))) (sqrt.f64 (*.f64 y 1/2)) (*.f64 y 1/2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/2))) (sqrt.f64 (*.f64 y 1/2)) (*.f64 y 1/2)))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 y))) (sqrt.f64 (*.f64 1/2 y)) (*.f64 1/2 y)))) |
(fma.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 y))) (sqrt.f64 (*.f64 1/2 y)) (*.f64 1/2 y)) (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2) (*.f64 y 1/2)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/2))) (sqrt.f64 (*.f64 y 1/2)) (*.f64 y 1/2)))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 y))) (sqrt.f64 (*.f64 1/2 y)) (*.f64 1/2 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2) (*.f64 1/2 y))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 y))) (sqrt.f64 (*.f64 1/2 y)) (*.f64 1/2 y)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2)) (fma.f64 x (+.f64 y -1) (*.f64 y 0)))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2) (*.f64 y 1/2)))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2) (*.f64 1/2 y))) |
(+.f64 (*.f64 y 0) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2)) (fma.f64 x (+.f64 y -1) (*.f64 y 0)))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (+.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2) (*.f64 y 1/2)))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2) (*.f64 1/2 y))) |
(+.f64 (*.f64 (*.f64 y 0) 2) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2)) (fma.f64 x (+.f64 y -1) (*.f64 y 0)))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (*.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) 1) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2) (*.f64 y 1/2)))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2) (*.f64 1/2 y))) |
(+.f64 (*.f64 y 0) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2)) (fma.f64 x (+.f64 y -1) (*.f64 y 0)))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (*.f64 y -1/2) 1 (*.f64 y 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2) (*.f64 y 1/2)))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2) (*.f64 1/2 y))) |
(+.f64 (*.f64 y 0) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2)) (fma.f64 x (+.f64 y -1) (*.f64 y 0)))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (neg.f64 y) 1/2 (*.f64 y 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2) (*.f64 y 1/2)))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2) (*.f64 1/2 y))) |
(+.f64 (*.f64 y 0) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2)) (fma.f64 x (+.f64 y -1) (*.f64 y 0)))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/2))) (sqrt.f64 (*.f64 y 1/2)) (*.f64 y 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2) (*.f64 y 1/2)))) |
(+.f64 (fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 y))) (sqrt.f64 (*.f64 1/2 y)) (*.f64 1/2 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2) (*.f64 1/2 y))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 y))) (sqrt.f64 (*.f64 1/2 y)) (*.f64 1/2 y)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2)) (fma.f64 x (+.f64 y -1) (*.f64 y 0)))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2) (*.f64 y 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 y 1/2)) 2) (*.f64 y 1/2)))) |
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2) (*.f64 1/2 y)))) |
(fma.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2) (*.f64 1/2 y)) (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(+.f64 (*.f64 y -1/2) (*.f64 x (+.f64 y -1))) |
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(+.f64 (*.f64 y -1/2) (+.f64 (*.f64 x (+.f64 y -1)) (fma.f64 -1/2 y (*.f64 y 1/2)))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 (*.f64 y 0))) |
(+.f64 (*.f64 y -1/2) (+.f64 (*.f64 x (+.f64 y -1)) (+.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) (fma.f64 -1/2 y (*.f64 y 1/2))))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (*.f64 (fma.f64 -1/2 y (*.f64 1/2 y)) 2))) |
(fma.f64 (*.f64 y 0) 2 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(+.f64 (*.f64 y -1/2) (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 (fma.f64 -1/2 y (*.f64 y 1/2)) 1))) |
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3)))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 y (*.f64 1/2 (fma.f64 x (+.f64 y -1) (*.f64 1/2 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 -1/8 (pow.f64 y 3)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) 2) (cbrt.f64 (fma.f64 y (*.f64 1/2 (fma.f64 x (+.f64 y -1) (*.f64 1/2 y))) (pow.f64 (-.f64 (*.f64 y x) x) 2)))) (cbrt.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (-.f64 (*.f64 y x) x) 3)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 1/4 (*.f64 y y)))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 2)) (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 2) (/.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 1/2 y))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 -1/4 (*.f64 y y)))))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) (*.f64 (*.f64 y y) -1/4))) (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 1/2 y)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) 2)) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (*.f64 x (+.f64 y -1)) 2)) (*.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 1/4 (*.f64 y y)))) (/.f64 1 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))) (+.f64 (*.f64 1/4 (*.f64 y y)) (pow.f64 (*.f64 x (+.f64 y -1)) 2))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 4) (*.f64 1/16 (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 (fma.f64 1/4 (*.f64 y y) (pow.f64 (*.f64 x (+.f64 y -1)) 2)) (/.f64 1 (fma.f64 x (+.f64 y -1) (*.f64 1/2 y))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y x) x) 4) (*.f64 -1/16 (*.f64 y (pow.f64 y 3)))) (*.f64 (fma.f64 y (*.f64 y 1/4) (pow.f64 (-.f64 (*.f64 y x) x) 2)) (fma.f64 x (+.f64 y -1) (*.f64 1/2 y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) 3) (pow.f64 (*.f64 1/4 (*.f64 y y)) 3)) (/.f64 1 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))) (+.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (*.f64 x (+.f64 y -1)) 2)) (+.f64 (*.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 1/4 (*.f64 y y))) (*.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 1/4 (*.f64 y y)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) 3) (pow.f64 (*.f64 1/4 (*.f64 y y)) 3)) (/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 4) (*.f64 (*.f64 1/4 (*.f64 y y)) (fma.f64 1/4 (*.f64 y y) (pow.f64 (*.f64 x (+.f64 y -1)) 2)))) (/.f64 1 (fma.f64 x (+.f64 y -1) (*.f64 1/2 y))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y x) x) 6) (*.f64 -1/64 (pow.f64 y 6))) (fma.f64 x (+.f64 y -1) (*.f64 1/2 y))) (fma.f64 (*.f64 y (*.f64 y 1/4)) (fma.f64 y (*.f64 y 1/4) (pow.f64 (-.f64 (*.f64 y x) x) 2)) (pow.f64 (-.f64 (*.f64 y x) x) 4))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (*.f64 x (+.f64 y -1)) 3)) (*.f64 (*.f64 1/8 (pow.f64 y 3)) (*.f64 1/8 (pow.f64 y 3)))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))))) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3)))) |
(/.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 y (*.f64 1/2 (fma.f64 x (+.f64 y -1) (*.f64 1/2 y)))))) (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 6) (*.f64 1/64 (*.f64 (pow.f64 y 3) (pow.f64 y 3))))) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3)))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y x) x) 6) (*.f64 -1/64 (pow.f64 y 6))) (*.f64 (fma.f64 1/8 (pow.f64 y 3) (pow.f64 (-.f64 (*.f64 y x) x) 3)) (fma.f64 y (*.f64 1/2 (fma.f64 x (+.f64 y -1) (*.f64 1/2 y))) (pow.f64 (-.f64 (*.f64 y x) x) 2)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) 3) (pow.f64 (*.f64 1/8 (pow.f64 y 3)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))))) (+.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (*.f64 x (+.f64 y -1)) 3)) (+.f64 (*.f64 (*.f64 1/8 (pow.f64 y 3)) (*.f64 1/8 (pow.f64 y 3))) (*.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3)))))) |
(/.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 y (*.f64 1/2 (fma.f64 x (+.f64 y -1) (*.f64 1/2 y)))))) (-.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) 3) (*.f64 1/512 (pow.f64 (pow.f64 y 3) 3)))) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 6) (*.f64 (*.f64 1/8 (pow.f64 y 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3)))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3) 3) (*.f64 -1/512 (pow.f64 (pow.f64 y 3) 3))) (*.f64 (fma.f64 (*.f64 1/8 (pow.f64 y 3)) (fma.f64 1/8 (pow.f64 y 3) (pow.f64 (-.f64 (*.f64 y x) x) 3)) (pow.f64 (-.f64 (*.f64 y x) x) 6)) (fma.f64 y (*.f64 1/2 (fma.f64 x (+.f64 y -1) (*.f64 1/2 y))) (pow.f64 (-.f64 (*.f64 y x) x) 2)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 1/4 (*.f64 y y))) 1) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 -1/4 (*.f64 y y))) (fma.f64 x (+.f64 y -1) (*.f64 1/2 y))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) (*.f64 (*.f64 y y) -1/4)) (fma.f64 x (+.f64 y -1) (*.f64 1/2 y))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 1/4 (*.f64 y y))) (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))) (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 -1/4 (*.f64 y y))) (fma.f64 x (+.f64 y -1) (*.f64 1/2 y))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) (*.f64 (*.f64 y y) -1/4)) (fma.f64 x (+.f64 y -1) (*.f64 1/2 y))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 1/4 (*.f64 y y))) (*.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))) (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))))) (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 -1/4 (*.f64 y y))) (fma.f64 x (+.f64 y -1) (*.f64 1/2 y))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2) (*.f64 (*.f64 y y) -1/4)) (fma.f64 x (+.f64 y -1) (*.f64 1/2 y))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3))) 1) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 -1/8 (pow.f64 y 3))) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 y (*.f64 1/2 (fma.f64 x (+.f64 y -1) (*.f64 1/2 y)))))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (-.f64 (*.f64 y x) x) 3)) (fma.f64 y (*.f64 1/2 (fma.f64 x (+.f64 y -1) (*.f64 1/2 y))) (pow.f64 (-.f64 (*.f64 y x) x) 2))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 -1/8 (pow.f64 y 3))) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 y (*.f64 1/2 (fma.f64 x (+.f64 y -1) (*.f64 1/2 y)))))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (-.f64 (*.f64 y x) x) 3)) (fma.f64 y (*.f64 1/2 (fma.f64 x (+.f64 y -1) (*.f64 1/2 y))) (pow.f64 (-.f64 (*.f64 y x) x) 2))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 1/8 (pow.f64 y 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (*.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (*.f64 -1/8 (pow.f64 y 3))) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 y (*.f64 1/2 (fma.f64 x (+.f64 y -1) (*.f64 1/2 y)))))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (-.f64 (*.f64 y x) x) 3)) (fma.f64 y (*.f64 1/2 (fma.f64 x (+.f64 y -1) (*.f64 1/2 y))) (pow.f64 (-.f64 (*.f64 y x) x) 2))) |
(pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 1) |
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 2) |
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 3) |
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 3) 1/3) |
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 2)) |
(fabs.f64 (-.f64 (*.f64 y (+.f64 x -1/2)) x)) |
(log.f64 (exp.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))) |
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))) |
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 3)) |
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))) |
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(exp.f64 (log.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))) |
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 1)) |
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))) |
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(fma.f64 1 (*.f64 x (+.f64 y -1)) (*.f64 y -1/2)) |
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(fma.f64 1 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) (fma.f64 -1/2 y (*.f64 y 1/2))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 (*.f64 y 0))) |
(fma.f64 (+.f64 y -1) x (*.f64 y -1/2)) |
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) (fma.f64 -1/2 y (*.f64 y 1/2))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 (*.f64 y 0))) |
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 x (+.f64 y -1))) (*.f64 y -1/2)) |
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 2) (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) (fma.f64 -1/2 y (*.f64 y 1/2))) |
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y)))) |
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 (*.f64 y 0))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 2) (cbrt.f64 (*.f64 x (+.f64 y -1))) (*.f64 y -1/2)) |
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) |
(-.f64 (*.f64 y (+.f64 x -1/2)) x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
Compiled 20 to 13 computations (35% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
| 0.0ms | y | @ | 0 | (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
| 0.0ms | x | @ | -inf | (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
| 0.0ms | x | @ | inf | (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
| 0.0ms | x | @ | 0 | (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
| 1× | batch-egg-rewrite |
| 934× | *-commutative |
| 850× | associate-*r/ |
| 644× | unswap-sqr |
| 602× | associate-*l/ |
| 526× | swap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 221 | 21 |
| 2 | 2775 | 21 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (+.f64 (neg.f64 x) (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/2) (+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (+.f64 (*.f64 y -1/2) (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y -1/2)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x)) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 x))) (-.f64 1 (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 x 918938533204673/1000000000000000)) (-.f64 (/.f64 x (/.f64 (+.f64 x 918938533204673/1000000000000000) x)) (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y 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(-.f64 918938533204673/1000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (cbrt.f64 (fma.f64 y 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egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))))) |
| 1× | egg-herbie |
| 1086× | associate--r+ |
| 920× | +-commutative |
| 900× | associate-+l- |
| 790× | associate--l+ |
| 784× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 164 | 2353 |
| 1 | 422 | 2221 |
| 2 | 1516 | 2209 |
| 3 | 4368 | 2209 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 918938533204673/1000000000000000 x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(*.f64 y (-.f64 x 1/2)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(*.f64 y (-.f64 x 1/2)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) |
(+.f64 (*.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))) |
(+.f64 (*.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))) |
(+.f64 (*.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))) |
(*.f64 (-.f64 y 1) x) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x))) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (neg.f64 x) (*.f64 y (+.f64 x -1/2)))) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))) |
(+.f64 (neg.f64 x) (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))) |
(+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)) |
(+.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) (neg.f64 x)) |
(+.f64 (*.f64 y -1/2) (+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 y -1/2) (-.f64 918938533204673/1000000000000000 x))) |
(+.f64 (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)) (*.f64 y -1/2)) |
(+.f64 (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y -1/2)) (*.f64 y x)) |
(+.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x)) 918938533204673/1000000000000000) |
(+.f64 (-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) (exp.f64 (log1p.f64 x))) 1) |
(+.f64 (*.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))) (neg.f64 x)) |
(+.f64 (*.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) 1) (neg.f64 x)) |
(-.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2)))) |
(-.f64 (exp.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 x))) (-.f64 1 (*.f64 y (+.f64 x -1/2)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) 1) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x) |
(-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 x 918938533204673/1000000000000000)) (-.f64 (/.f64 x (/.f64 (+.f64 x 918938533204673/1000000000000000) x)) (*.f64 y (+.f64 x -1/2)))) |
(-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) (*.f64 y (+.f64 x -1/2)))) |
(-.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (exp.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 x)))) 1) |
(-.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 x 918938533204673/1000000000000000))) (/.f64 x (/.f64 (+.f64 x 918938533204673/1000000000000000) x))) |
(-.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000))))) (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000))))) |
(-.f64 (+.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) 0) x) |
(*.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 1) |
(*.f64 1 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) |
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) |
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))) (*.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3) 1/6)) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (-.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))) |
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (+.f64 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2)))))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2))) (-.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))) (+.f64 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) 1) (-.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) 1) (+.f64 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2)))))) |
(pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 1) |
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 3) |
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 2)) |
(log.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))) |
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) |
(exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) |
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) |
| Outputs |
|---|
(-.f64 918938533204673/1000000000000000 x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (+.f64 x -1/2)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (+.f64 x -1/2)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(fma.f64 y -1/2 918938533204673/1000000000000000) |
(+.f64 (*.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (*.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (*.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x))) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x))) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x))) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 x (+.f64 y -1)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (neg.f64 x) (*.f64 y (+.f64 x -1/2)))) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (neg.f64 x) (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) (neg.f64 x)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (*.f64 y -1/2) (+.f64 (*.f64 y x) (-.f64 918938533204673/1000000000000000 x))) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 y -1/2) (-.f64 918938533204673/1000000000000000 x))) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)) (*.f64 y -1/2)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y -1/2)) (*.f64 y x)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (neg.f64 x)) 918938533204673/1000000000000000) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) (exp.f64 (log1p.f64 x))) 1) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (*.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))) (neg.f64 x)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (*.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) 1) (neg.f64 x)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(-.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2)))) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(-.f64 (exp.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 x))) (-.f64 1 (*.f64 y (+.f64 x -1/2)))) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) 1) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 x 918938533204673/1000000000000000)) (-.f64 (/.f64 x (/.f64 (+.f64 x 918938533204673/1000000000000000) x)) (*.f64 y (+.f64 x -1/2)))) |
(-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 918938533204673/1000000000000000 x)) (-.f64 (*.f64 (/.f64 x (+.f64 918938533204673/1000000000000000 x)) x) (*.f64 y (+.f64 x -1/2)))) |
(-.f64 (fma.f64 y (+.f64 x -1/2) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 918938533204673/1000000000000000 x))) (*.f64 x (/.f64 x (+.f64 918938533204673/1000000000000000 x)))) |
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(/.f64 (-.f64 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (fma.f64 y (+.f64 x -1/2) (neg.f64 (-.f64 918938533204673/1000000000000000 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (+.f64 x (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (+.f64 (fma.f64 y (+.f64 x -1/2) x) -918938533204673/1000000000000000)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) 1) (+.f64 (*.f64 (*.f64 y y) (pow.f64 (+.f64 x -1/2) 2)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2)))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (*.f64 y y) (pow.f64 (+.f64 x -1/2) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (fma.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))) (*.f64 (*.f64 y y) (pow.f64 (+.f64 x -1/2) 2)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (fma.f64 (*.f64 y y) (pow.f64 (+.f64 x -1/2) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (fma.f64 (*.f64 y y) (pow.f64 (+.f64 x -1/2) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (fma.f64 y (-.f64 1/2 x) (-.f64 918938533204673/1000000000000000 x))))) |
(pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 1) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 3) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3) 1/3) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 2)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(log.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) |
Compiled 14443 to 10485 computations (27.4% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 558 | 8 | 566 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 560 | 8 | 568 |
| Status | Error | Program |
|---|---|---|
| ▶ | 18.8b | (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) (*.f64 y (+.f64 x -1/2)))) |
| ▶ | 32.5b | (-.f64 (*.f64 y x) x) |
| 30.4b | (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) | |
| ▶ | 24.8b | (-.f64 918938533204673/1000000000000000 x) |
| 10.2b | (+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000) | |
| ▶ | 0.0b | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))) |
| ▶ | 32.5b | (*.f64 (-.f64 y 1) x) |
| 38.0b | (*.f64 y (-.f64 x 1/2)) |
Compiled 166 to 124 computations (25.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 y (+.f64 x -1/2)) |
| ✓ | 0.0b | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))) |
Compiled 26 to 17 computations (34.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))) |
| 0.0ms | y | @ | -inf | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))) |
| 0.0ms | y | @ | inf | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))) |
| 0.0ms | x | @ | inf | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))) |
| 0.0ms | x | @ | 0 | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))) |
| 1× | batch-egg-rewrite |
| 1834× | associate-*r/ |
| 1526× | associate-*l/ |
| 434× | associate-+l+ |
| 328× | associate-/r* |
| 302× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 38 |
| 1 | 239 | 34 |
| 2 | 3379 | 34 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))) |
(*.f64 y (+.f64 x -1/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 918938533204673/1000000000000000 x) (neg.f64 (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 (neg.f64 y) (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 (neg.f64 (+.f64 x -1/2)) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 -1 (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2)))) (sqrt.f64 (*.f64 y (+.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2)) (cbrt.f64 (*.f64 y (+.f64 x 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((x exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 y -1/2)))))) |
| 1× | egg-herbie |
| 1266× | associate-+r+ |
| 1188× | associate-+l+ |
| 944× | associate--r+ |
| 942× | +-commutative |
| 666× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 456 | 8634 |
| 1 | 1223 | 8260 |
| 2 | 5319 | 8116 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) |
(+.f64 (*.f64 (-.f64 y 1) x) (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)) |
(+.f64 (*.f64 (-.f64 y 1) x) (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)) |
(+.f64 (*.f64 (-.f64 y 1) x) (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)) |
(*.f64 (-.f64 y 1) x) |
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))) |
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))) |
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))) |
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))) |
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))) |
(-.f64 918938533204673/1000000000000000 x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(*.f64 y (-.f64 x 1/2)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(*.f64 y (-.f64 x 1/2)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 -1/2 y) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(-.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2)))) |
(-.f64 (-.f64 918938533204673/1000000000000000 x) (neg.f64 (*.f64 y (+.f64 x -1/2)))) |
(-.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 (neg.f64 y) (+.f64 x -1/2))) |
(-.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 (neg.f64 (+.f64 x -1/2)) y)) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) 3) (pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) 3)) (/.f64 1 (-.f64 918938533204673/1000000000000000 (+.f64 x (*.f64 y (+.f64 x -1/2)))))) (+.f64 (*.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) (*.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (*.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))) (/.f64 1 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 (*.f64 y (+.f64 x -1/2)) (+.f64 (-.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) x))))) (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) 3) (pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 (*.f64 y (+.f64 x -1/2)) (+.f64 (-.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) x))))) (+.f64 (*.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (-.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (*.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) 1) (-.f64 918938533204673/1000000000000000 (+.f64 x (*.f64 y (+.f64 x -1/2))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) (sqrt.f64 (-.f64 918938533204673/1000000000000000 (+.f64 x (*.f64 y (+.f64 x -1/2)))))) (sqrt.f64 (-.f64 918938533204673/1000000000000000 (+.f64 x (*.f64 y (+.f64 x -1/2)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) (*.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 (+.f64 x (*.f64 y (+.f64 x -1/2))))) (cbrt.f64 (-.f64 918938533204673/1000000000000000 (+.f64 x (*.f64 y (+.f64 x -1/2))))))) (cbrt.f64 (-.f64 918938533204673/1000000000000000 (+.f64 x (*.f64 y (+.f64 x -1/2)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) (+.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (*.f64 y (+.f64 x -1/2))))) (-.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (*.f64 y (+.f64 x -1/2))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) 1) (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 (*.f64 y (+.f64 x -1/2)) (+.f64 (-.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) x)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 (*.f64 y (+.f64 x -1/2)) (+.f64 (-.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) x))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 (*.f64 y (+.f64 x -1/2)) (+.f64 (-.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) x))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 (*.f64 y (+.f64 x -1/2)) (+.f64 (-.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) x)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 (*.f64 y (+.f64 x -1/2)) (+.f64 (-.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) x)))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 (*.f64 y (+.f64 x -1/2)) (+.f64 (-.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) x))))) |
(pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 1) |
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 3) |
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 2)) |
(log.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))) |
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) |
(exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 (+.f64 x -1/2) y (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 1 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))) |
(fma.f64 1 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (*.f64 y (+.f64 x -1/2))) |
(fma.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) (*.f64 y (+.f64 x -1/2))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2) (cbrt.f64 (*.f64 y (+.f64 x -1/2))) (-.f64 918938533204673/1000000000000000 x)) |
(+.f64 (*.f64 x y) (*.f64 y -1/2)) |
(+.f64 (*.f64 y -1/2) (*.f64 x y)) |
(+.f64 (*.f64 (*.f64 x y) 1) (*.f64 (*.f64 y -1/2) 1)) |
(+.f64 (*.f64 (*.f64 y -1/2) 1) (*.f64 (*.f64 x y) 1)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1) |
(/.f64 y (/.f64 1 (+.f64 x -1/2))) |
(/.f64 (fma.f64 x x -1/4) (/.f64 (+.f64 x 1/2) y)) |
(/.f64 (+.f64 -1/8 (pow.f64 x 3)) (/.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))) y)) |
(/.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2)) |
(/.f64 (*.f64 y (+.f64 -1/8 (pow.f64 x 3))) (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2)))) |
(/.f64 (*.f64 (fma.f64 x x -1/4) y) (+.f64 x 1/2)) |
(/.f64 (*.f64 (+.f64 -1/8 (pow.f64 x 3)) y) (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 y -1/2) (*.f64 y -1/2))) (-.f64 (*.f64 x y) (*.f64 y -1/2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 y -1/2) 3)) (-.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 y -1/2) (*.f64 y -1/2))) (*.f64 (*.f64 x y) (*.f64 y -1/2)))) |
(/.f64 (*.f64 y (-.f64 1/4 (*.f64 x x))) (-.f64 -1/2 x)) |
(/.f64 (*.f64 y (neg.f64 (fma.f64 x x -1/4))) (neg.f64 (+.f64 x 1/2))) |
(/.f64 (*.f64 y (neg.f64 (+.f64 -1/8 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))))) |
(/.f64 (*.f64 1 (*.f64 y (fma.f64 x x -1/4))) (+.f64 x 1/2)) |
(/.f64 (*.f64 1 (*.f64 y (+.f64 -1/8 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2)))) |
(/.f64 (*.f64 1 (*.f64 (fma.f64 x x -1/4) y)) (+.f64 x 1/2)) |
(/.f64 (*.f64 1 (*.f64 (+.f64 -1/8 (pow.f64 x 3)) y)) (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2)))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)))) (-.f64 (*.f64 x y) (*.f64 y -1/2))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 y -1/2) 3))) (-.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 y -1/2) (*.f64 y -1/2))) (*.f64 (*.f64 x y) (*.f64 y -1/2)))) |
(/.f64 (*.f64 (*.f64 y (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (fma.f64 x x -1/4))) (sqrt.f64 (+.f64 x 1/2))) |
(/.f64 (*.f64 (*.f64 y (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 -1/8 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))))) |
(/.f64 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (fma.f64 x x -1/4))) (cbrt.f64 (+.f64 x 1/2))) |
(/.f64 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 -1/8 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))))) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 x x)) y) (-.f64 -1/2 x)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x x -1/4)) y) (neg.f64 (+.f64 x 1/2))) |
(/.f64 (*.f64 (neg.f64 (+.f64 -1/8 (pow.f64 x 3))) y) (neg.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))))) |
(/.f64 (*.f64 (*.f64 y (fma.f64 x x -1/4)) 1) (+.f64 x 1/2)) |
(/.f64 (*.f64 (*.f64 y (+.f64 -1/8 (pow.f64 x 3))) 1) (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x -1/4) y) 1) (+.f64 x 1/2)) |
(/.f64 (*.f64 (*.f64 (+.f64 -1/8 (pow.f64 x 3)) y) 1) (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 y -1/2) (*.f64 y -1/2))) 1) (-.f64 (*.f64 x y) (*.f64 y -1/2))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 y -1/2) 3)) 1) (-.f64 (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 y -1/2) (*.f64 y -1/2))) (*.f64 (*.f64 x y) (*.f64 y -1/2)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1/4)) (*.f64 (sqrt.f64 (+.f64 x -1/2)) y)) (sqrt.f64 (+.f64 x 1/2))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/8 (pow.f64 x 3))) (*.f64 (sqrt.f64 (+.f64 x -1/2)) y)) (sqrt.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))))) |
(/.f64 (/.f64 (*.f64 y (fma.f64 x x -1/4)) 1) (+.f64 x 1/2)) |
(/.f64 (/.f64 (*.f64 y (fma.f64 x x -1/4)) (sqrt.f64 (+.f64 x 1/2))) (sqrt.f64 (+.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 y (fma.f64 x x -1/4)) (*.f64 (cbrt.f64 (+.f64 x 1/2)) (cbrt.f64 (+.f64 x 1/2)))) (cbrt.f64 (+.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 y (+.f64 -1/8 (pow.f64 x 3))) 1) (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2)))) |
(/.f64 (/.f64 (*.f64 y (+.f64 -1/8 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))))) (sqrt.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))))) |
(/.f64 (/.f64 (*.f64 y (+.f64 -1/8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2)))) (cbrt.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2)))))) (cbrt.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))))) |
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) y) 1) (+.f64 x 1/2)) |
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) y) (sqrt.f64 (+.f64 x 1/2))) (sqrt.f64 (+.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) y) (*.f64 (cbrt.f64 (+.f64 x 1/2)) (cbrt.f64 (+.f64 x 1/2)))) (cbrt.f64 (+.f64 x 1/2))) |
(/.f64 (/.f64 (*.f64 (+.f64 -1/8 (pow.f64 x 3)) y) 1) (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2)))) |
(/.f64 (/.f64 (*.f64 (+.f64 -1/8 (pow.f64 x 3)) y) (sqrt.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))))) (sqrt.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))))) |
(/.f64 (/.f64 (*.f64 (+.f64 -1/8 (pow.f64 x 3)) y) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2)))) (cbrt.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2)))))) (cbrt.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))))) |
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1) |
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3) |
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -1/2))))) |
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) |
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2)))) |
(fma.f64 x y (*.f64 y -1/2)) |
(fma.f64 y x (*.f64 y -1/2)) |
| Outputs |
|---|
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(+.f64 (*.f64 (-.f64 y 1) x) (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 -1/2 y (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x)) |
(+.f64 (*.f64 (-.f64 y 1) x) (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 -1/2 y (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x)) |
(+.f64 (*.f64 (-.f64 y 1) x) (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 -1/2 y (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x)) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (+.f64 y -1) x) |
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 -1/2 y (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x)) |
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 -1/2 y (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x)) |
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 -1/2 y (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 (+.f64 y -1) x) |
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 -1/2 y (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x)) |
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 -1/2 y (fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 -1/2 x) (-.f64 918938533204673/1000000000000000 x)) |
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(/.f64 (/.f64 (*.f64 (+.f64 -1/8 (pow.f64 x 3)) y) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2)))) (cbrt.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2)))))) (cbrt.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x x (-.f64 1/4 (*.f64 -1/2 x)))) y) |
(*.f64 (/.f64 y (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2)))) (+.f64 (pow.f64 x 3) -1/8)) |
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1) |
(*.f64 y (+.f64 -1/2 x)) |
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2) |
(*.f64 y (+.f64 -1/2 x)) |
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3) |
(*.f64 y (+.f64 -1/2 x)) |
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3) |
(*.f64 y (+.f64 -1/2 x)) |
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 -1/2 x)) 2)) |
(fabs.f64 (*.f64 y (+.f64 -1/2 x))) |
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2))) |
(*.f64 y (+.f64 -1/2 x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -1/2))))) |
(*.f64 y (+.f64 -1/2 x)) |
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) |
(*.f64 y (+.f64 -1/2 x)) |
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) |
(*.f64 y (+.f64 -1/2 x)) |
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2)))) |
(*.f64 y (+.f64 -1/2 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1)) |
(*.f64 y (+.f64 -1/2 x)) |
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2)))) |
(*.f64 y (+.f64 -1/2 x)) |
(fma.f64 x y (*.f64 y -1/2)) |
(*.f64 y (+.f64 -1/2 x)) |
(fma.f64 y x (*.f64 y -1/2)) |
(*.f64 y (+.f64 -1/2 x)) |
Compiled 7 to 5 computations (28.6% 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 | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 (-.f64 y 1) x) |
| 0.0ms | y | @ | -inf | (*.f64 (-.f64 y 1) x) |
| 0.0ms | y | @ | inf | (*.f64 (-.f64 y 1) x) |
| 0.0ms | x | @ | -inf | (*.f64 (-.f64 y 1) x) |
| 0.0ms | x | @ | inf | (*.f64 (-.f64 y 1) x) |
| 1× | batch-egg-rewrite |
| 1412× | add-sqr-sqrt |
| 1396× | *-un-lft-identity |
| 1302× | add-cube-cbrt |
| 1286× | add-cbrt-cube |
| 1274× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 144 | 13 |
| 2 | 1785 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 y 1) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 y -1) x)) 1)))) (#(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 /.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1)))))) (#(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 (+.f64 (pow.f64 y 3) -1) x) (fma.f64 y y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 y -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 y -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 y -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 y -1) 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 (+.f64 y -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 y -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 y -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y -1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 y -1) x))))))) |
| 1× | egg-herbie |
| 1034× | *-commutative |
| 874× | fma-def |
| 688× | associate-*r* |
| 606× | associate-*l* |
| 604× | distribute-lft-out |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 422 |
| 1 | 130 | 422 |
| 2 | 404 | 422 |
| 3 | 2396 | 422 |
| 4 | 4947 | 422 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 x y) (*.f64 x -1)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(-.f64 (+.f64 1 (*.f64 (+.f64 y -1) x)) 1) |
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1)) |
(/.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1))) |
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) -1) x) (fma.f64 y y (+.f64 y 1))) |
(pow.f64 (*.f64 (+.f64 y -1) x) 1) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 y -1) x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 y -1) x)) 3) |
(pow.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y -1))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 y -1) x))) |
(exp.f64 (log.f64 (*.f64 (+.f64 y -1) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y -1) x)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 y -1) x))) |
| Outputs |
|---|
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 -1 y)) |
(-.f64 (*.f64 x y) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 -1 y)) |
(-.f64 (*.f64 x y) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 -1 y)) |
(-.f64 (*.f64 x y) x) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 -1 y)) |
(-.f64 (*.f64 x y) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 -1 y)) |
(-.f64 (*.f64 x y) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 -1 y)) |
(-.f64 (*.f64 x y) x) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 -1 y)) |
(-.f64 (*.f64 x y) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 -1 y)) |
(-.f64 (*.f64 x y) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 -1 y)) |
(-.f64 (*.f64 x y) x) |
(+.f64 (*.f64 x y) (*.f64 x -1)) |
(*.f64 x (+.f64 -1 y)) |
(-.f64 (*.f64 x y) x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 x (+.f64 -1 y)) |
(-.f64 (*.f64 x y) x) |
(-.f64 (+.f64 1 (*.f64 (+.f64 y -1) x)) 1) |
(*.f64 x (+.f64 -1 y)) |
(-.f64 (*.f64 x y) x) |
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1)) |
(*.f64 x (+.f64 -1 y)) |
(-.f64 (*.f64 x y) x) |
(/.f64 (*.f64 x (+.f64 (pow.f64 y 3) -1)) (fma.f64 y y (+.f64 y 1))) |
(/.f64 x (/.f64 (fma.f64 y y (+.f64 y 1)) (+.f64 -1 (pow.f64 y 3)))) |
(*.f64 (/.f64 x (fma.f64 y y (+.f64 y 1))) (+.f64 -1 (pow.f64 y 3))) |
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 y 3)) (+.f64 y (fma.f64 y y 1)))) |
(*.f64 (+.f64 -1 (pow.f64 y 3)) (/.f64 x (+.f64 y (fma.f64 y y 1)))) |
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1)) |
(*.f64 x (+.f64 -1 y)) |
(-.f64 (*.f64 x y) x) |
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) -1) x) (fma.f64 y y (+.f64 y 1))) |
(/.f64 x (/.f64 (fma.f64 y y (+.f64 y 1)) (+.f64 -1 (pow.f64 y 3)))) |
(*.f64 (/.f64 x (fma.f64 y y (+.f64 y 1))) (+.f64 -1 (pow.f64 y 3))) |
(*.f64 x (/.f64 (+.f64 -1 (pow.f64 y 3)) (+.f64 y (fma.f64 y y 1)))) |
(*.f64 (+.f64 -1 (pow.f64 y 3)) (/.f64 x (+.f64 y (fma.f64 y y 1)))) |
(pow.f64 (*.f64 (+.f64 y -1) x) 1) |
(*.f64 x (+.f64 -1 y)) |
(-.f64 (*.f64 x y) x) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 y -1) x)) 2) |
(*.f64 x (+.f64 -1 y)) |
(-.f64 (*.f64 x y) x) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 y -1) x)) 3) |
(*.f64 x (+.f64 -1 y)) |
(-.f64 (*.f64 x y) x) |
(pow.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 3) 1/3) |
(*.f64 x (+.f64 -1 y)) |
(-.f64 (*.f64 x y) x) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 2)) |
(*.f64 x (+.f64 -1 y)) |
(-.f64 (*.f64 x y) x) |
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y -1))) |
(*.f64 x (+.f64 -1 y)) |
(-.f64 (*.f64 x y) x) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 y -1) x) 3)) |
(*.f64 x (+.f64 -1 y)) |
(-.f64 (*.f64 x y) x) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 y -1) x))) |
(*.f64 x (+.f64 -1 y)) |
(-.f64 (*.f64 x y) x) |
(exp.f64 (log.f64 (*.f64 (+.f64 y -1) x))) |
(*.f64 x (+.f64 -1 y)) |
(-.f64 (*.f64 x y) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y -1) x)) 1)) |
(*.f64 x (+.f64 -1 y)) |
(-.f64 (*.f64 x y) x) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 y -1) x))) |
(*.f64 x (+.f64 -1 y)) |
(-.f64 (*.f64 x y) x) |
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 | x | @ | inf | (-.f64 (*.f64 y x) x) |
| 0.0ms | x | @ | -inf | (-.f64 (*.f64 y x) x) |
| 0.0ms | y | @ | 0 | (-.f64 (*.f64 y x) x) |
| 0.0ms | x | @ | 0 | (-.f64 (*.f64 y x) x) |
| 0.0ms | y | @ | -inf | (-.f64 (*.f64 y x) x) |
| 1× | batch-egg-rewrite |
| 1486× | add-sqr-sqrt |
| 1470× | *-un-lft-identity |
| 1372× | add-cube-cbrt |
| 1358× | add-cbrt-cube |
| 1346× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 132 | 13 |
| 2 | 1802 | 13 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 y x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 y x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) (sqrt.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2) (cbrt.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (/.f64 1 (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 (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y x x) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x))) (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (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 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 y x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))) (neg.f64 (fma.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 (fma.f64 y x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 y x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 y x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 x)))))) |
| 1× | egg-herbie |
| 1248× | associate-+l+ |
| 776× | associate-/l/ |
| 740× | associate-*r/ |
| 702× | fma-def |
| 610× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 1273 |
| 1 | 282 | 1193 |
| 2 | 1186 | 1193 |
| 3 | 4484 | 1193 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 (*.f64 y x) (neg.f64 x)) |
(+.f64 (*.f64 y x) (*.f64 (neg.f64 x) 1)) |
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 x) 1 x)) |
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(+.f64 (neg.f64 x) (*.f64 y x)) |
(*.f64 x (-.f64 y 1)) |
(*.f64 (-.f64 (*.f64 y x) x) 1) |
(*.f64 1 (-.f64 (*.f64 y x) x)) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) (sqrt.f64 (-.f64 (*.f64 y x) x))) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2) (cbrt.f64 (-.f64 (*.f64 y x) x))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x))) |
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x))))) |
(*.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x))) |
(/.f64 1 (/.f64 (fma.f64 y x x) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x))) (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (fma.f64 y x x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 y x) (neg.f64 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y x) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))) (neg.f64 (fma.f64 y x 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 (fma.f64 y x x))))) |
(pow.f64 (-.f64 (*.f64 y x) x) 1) |
(pow.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) 2) |
(pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 3) |
(pow.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2)) |
(log.f64 (exp.f64 (-.f64 (*.f64 y x) x))) |
(cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (*.f64 y x) x))) |
(exp.f64 (log.f64 (-.f64 (*.f64 y x) x))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 y x) x)) 1)) |
(log1p.f64 (expm1.f64 (-.f64 (*.f64 y x) x))) |
(fma.f64 y x (neg.f64 x)) |
(fma.f64 x y (neg.f64 x)) |
(fma.f64 1 (*.f64 y x) (neg.f64 x)) |
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 x)) |
| Outputs |
|---|
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(+.f64 (*.f64 y x) (*.f64 -1 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(*.f64 (-.f64 y 1) x) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(*.f64 (-.f64 y 1) x) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(*.f64 (-.f64 y 1) x) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(*.f64 (-.f64 y 1) x) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(*.f64 (-.f64 y 1) x) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(*.f64 (-.f64 y 1) x) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(*.f64 (-.f64 y 1) x) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(*.f64 (-.f64 y 1) x) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(+.f64 (*.f64 y x) (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(+.f64 (*.f64 y x) (*.f64 (neg.f64 x) 1)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 x) 1 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(+.f64 (neg.f64 x) (*.f64 y x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(*.f64 x (-.f64 y 1)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(*.f64 (-.f64 (*.f64 y x) x) 1) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(*.f64 1 (-.f64 (*.f64 y x) x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) (sqrt.f64 (-.f64 (*.f64 y x) x))) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(*.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2) (cbrt.f64 (-.f64 (*.f64 y x) x))) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (fma.f64 x y x)) |
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (fma.f64 y x x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2))) |
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) -1)) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) |
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 y 3))) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) |
(*.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x))) |
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x))) |
(/.f64 1 (/.f64 (fma.f64 y x x) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (fma.f64 x y x)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x))) (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (fma.f64 y x x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2))) |
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) -1)) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) |
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 y 3))) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x)) (fma.f64 y x x)) |
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (fma.f64 x y x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x (fma.f64 y x x)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (fma.f64 y x x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2))) |
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) -1)) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) |
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 y 3))) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 y x) (neg.f64 x))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (fma.f64 x y x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y x) (neg.f64 x))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (fma.f64 y x x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2))) |
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) -1)) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) |
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 y 3))) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 x x))) (neg.f64 (fma.f64 y x x))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x x)) (fma.f64 x y 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 (fma.f64 y x x))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 x (fma.f64 y x x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2))) |
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) -1)) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) |
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 y 3))) (fma.f64 x x (*.f64 y (*.f64 x (fma.f64 x y x))))) |
(pow.f64 (-.f64 (*.f64 y x) x) 1) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(pow.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) 2) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 3) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(pow.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3) 1/3) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(sqrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(log.f64 (exp.f64 (-.f64 (*.f64 y x) x))) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(expm1.f64 (log1p.f64 (-.f64 (*.f64 y x) x))) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(exp.f64 (log.f64 (-.f64 (*.f64 y x) x))) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 y x) x)) 1)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(log1p.f64 (expm1.f64 (-.f64 (*.f64 y x) x))) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(fma.f64 y x (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(fma.f64 x y (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(fma.f64 1 (*.f64 y x) (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 x)) |
(-.f64 (*.f64 x y) x) |
(*.f64 x (+.f64 -1 y)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000))) |
| ✓ | 0.0b | (*.f64 x (+.f64 x 918938533204673/1000000000000000)) |
| ✓ | 0.8b | (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) |
| ✓ | 17.9b | (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) |
Compiled 99 to 71 computations (28.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) |
| 1.0ms | x | @ | 0 | (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) |
| 1.0ms | x | @ | inf | (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) |
| 0.0ms | x | @ | -inf | (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) |
| 0.0ms | x | @ | -inf | (*.f64 x (+.f64 x 918938533204673/1000000000000000)) |
| 1× | batch-egg-rewrite |
| 1466× | associate-/r* |
| 1114× | associate-/l* |
| 962× | distribute-lft-in |
| 654× | associate-/r/ |
| 284× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 88 |
| 1 | 300 | 76 |
| 2 | 3775 | 76 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) |
(/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) |
(*.f64 x (+.f64 x 918938533204673/1000000000000000)) |
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000))) |
| Outputs |
|---|
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713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (*.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (-.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000))))) (sqrt.f64 (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (*.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (-.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 3)) (*.f64 (cbrt.f64 (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (*.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (-.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000)))) (cbrt.f64 (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (*.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (-.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000)))))) (cbrt.f64 (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (*.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (-.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 918938533204673/1000000000000000) x 844448027808355901771309036929/1000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000))) (sqrt.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000))) 844448027808355901771309036929/1000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000))) 2) (cbrt.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000))) 844448027808355901771309036929/1000000000000000000000000000000))))) |
| 1× | egg-herbie |
| 1182× | associate-*r* |
| 880× | +-commutative |
| 856× | associate-+r+ |
| 844× | associate-*l* |
| 650× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 566 | 9926 |
| 1 | 1652 | 9600 |
| 2 | 7711 | 9582 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3)) |
(+.f64 (*.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3)) (*.f64 -1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 (pow.f64 x 4))) |
(+.f64 (*.f64 1000000000000000000000000000000000000000000000000000000000000000000000000000/655288149955193325872462096034960659899963610652441237801254450675975814593 (pow.f64 x 6)) (+.f64 (*.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3)) (*.f64 -1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 (pow.f64 x 4)))) |
(+.f64 (*.f64 1000000000000000000000000000000000000000000000000000000000000000000000000000/655288149955193325872462096034960659899963610652441237801254450675975814593 (pow.f64 x 6)) (+.f64 (*.f64 -1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089 (pow.f64 x 7)) (+.f64 (*.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3)) (*.f64 -1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 (pow.f64 x 4))))) |
x |
(-.f64 x 918938533204673/1000000000000000) |
(-.f64 (+.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) x) 918938533204673/1000000000000000) |
(-.f64 (+.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) x) (+.f64 (*.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) 918938533204673/1000000000000000)) |
x |
(-.f64 x 918938533204673/1000000000000000) |
(-.f64 (+.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) x) 918938533204673/1000000000000000) |
(-.f64 (+.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) x) (+.f64 (*.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) 918938533204673/1000000000000000)) |
918938533204673/1000000000000000 |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3)))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3)) (*.f64 -1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 (pow.f64 x 4))))) |
(/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 2)) |
(-.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 5))) (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (*.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 5))) (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 553356785875849185813651753046754059684528638095022056452717715645164869810465386529495301884023094104897/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 6))))) |
(/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 2)) |
(-.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 5))) (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (*.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 5))) (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 553356785875849185813651753046754059684528638095022056452717715645164869810465386529495301884023094104897/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 6))))) |
(*.f64 918938533204673/1000000000000000 x) |
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2)) |
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2)) |
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2)) |
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2)) |
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2)) |
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2)) |
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2)) |
844448027808355901771309036929/1000000000000000000000000000000 |
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/1000000000000000 x)) |
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))) |
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2)) |
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))) |
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2)) |
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))) |
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 3) (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2))) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (/.f64 (pow.f64 x 3) (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2))) (neg.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 3) (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2))) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (/.f64 (pow.f64 x 3) (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2))) (*.f64 (neg.f64 x) (+.f64 x 918938533204673/1000000000000000)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 3) (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2))) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (/.f64 (pow.f64 x 3) (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2))) (*.f64 (neg.f64 (+.f64 x 918938533204673/1000000000000000)) x))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 3) (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2))) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (/.f64 (pow.f64 x 3) (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2))) (*.f64 -1 (*.f64 x (+.f64 x 918938533204673/1000000000000000))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 3) (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2))) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (/.f64 (pow.f64 x 3) (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) (sqrt.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 3) (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2))) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (/.f64 (pow.f64 x 3) (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000))) 2)) (cbrt.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 3) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 3))) 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000) (*.f64 (/.f64 (pow.f64 x 3) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 3))) (*.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (-.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 3) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 3))) (*.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (-.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000))) (*.f64 (/.f64 (pow.f64 x 3) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 3))) 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))) 1) |
(*.f64 x (*.f64 (*.f64 x x) (/.f64 1 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))) |
(*.f64 (pow.f64 x 3) (/.f64 1 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) |
(*.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) 1) |
(*.f64 1 (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) |
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(/.f64 (+.f64 218351576424893481256591023073907143186364958193073216492478351667247827135876952934563866152186084732452167596134641203190508977325664676697244051633010145066388882180918353354430972616850799153568804235951172997032331675858861750773873613633420577923720921178416963969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 3) 3)) (*.f64 (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (*.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (-.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000))) (+.f64 362608144481737265469833158440909721442932810515854431161650993725206607598521654984904889891681218140052228517708656871622887861039002027680580916909490404125446691232045765361921/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (-.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 3) (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 3)) (*.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 3)))))) |
(/.f64 (-.f64 362608144481737265469833158440909721442932810515854431161650993725206607598521654984904889891681218140052228517708656871622887861039002027680580916909490404125446691232045765361921/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2) 3)) (*.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000))) (+.f64 (+.f64 508500873151605164376409233725700001269633483145339013104126050838426047021007879743409756000847710157383656035832583681/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2) (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2))) (*.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2))))) |
(/.f64 (/.f64 (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2)) 1) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) |
(/.f64 (/.f64 (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2)) (sqrt.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000))))) (sqrt.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000))))) |
(/.f64 (/.f64 (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2)) (*.f64 (cbrt.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) (cbrt.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))))) (cbrt.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000))))) |
(/.f64 (/.f64 (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 3)) 1) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (*.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (-.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000)))) |
(/.f64 (/.f64 (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 3)) (sqrt.f64 (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (*.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (-.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000))))) (sqrt.f64 (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (*.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (-.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000))))) |
(/.f64 (/.f64 (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 3)) (*.f64 (cbrt.f64 (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (*.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (-.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000)))) (cbrt.f64 (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (*.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (-.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000)))))) (cbrt.f64 (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (*.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (-.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000))))) |
(pow.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) 1) |
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) 3) |
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) 2)) |
(log.f64 (exp.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))) |
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) |
(exp.f64 (log.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) |
(fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) |
(fma.f64 (+.f64 x 918938533204673/1000000000000000) x 844448027808355901771309036929/1000000000000000000000000000000) |
(fma.f64 1 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000) |
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000))) (sqrt.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000))) 844448027808355901771309036929/1000000000000000000000000000000) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000))) 2) (cbrt.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000))) 844448027808355901771309036929/1000000000000000000000000000000) |
| Outputs |
|---|
(*.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3)) |
(+.f64 (*.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3)) (*.f64 -1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 (pow.f64 x 4))) |
(fma.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3) (*.f64 -1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 (pow.f64 x 4))) |
(+.f64 (*.f64 1000000000000000000000000000000000000000000000000000000000000000000000000000/655288149955193325872462096034960659899963610652441237801254450675975814593 (pow.f64 x 6)) (+.f64 (*.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3)) (*.f64 -1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 (pow.f64 x 4)))) |
(fma.f64 1000000000000000000000000000000000000000000000000000000000000000000000000000/655288149955193325872462096034960659899963610652441237801254450675975814593 (pow.f64 x 6) (fma.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3) (*.f64 -1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 (pow.f64 x 4)))) |
(+.f64 (*.f64 1000000000000000000000000000000000000000000000000000000000000000000000000000/655288149955193325872462096034960659899963610652441237801254450675975814593 (pow.f64 x 6)) (+.f64 (*.f64 -1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089 (pow.f64 x 7)) (+.f64 (*.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3)) (*.f64 -1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 (pow.f64 x 4))))) |
(fma.f64 1000000000000000000000000000000000000000000000000000000000000000000000000000/655288149955193325872462096034960659899963610652441237801254450675975814593 (pow.f64 x 6) (fma.f64 -1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089 (pow.f64 x 7) (fma.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3) (*.f64 -1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 (pow.f64 x 4))))) |
x |
(-.f64 x 918938533204673/1000000000000000) |
(+.f64 x -918938533204673/1000000000000000) |
(-.f64 (+.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) x) 918938533204673/1000000000000000) |
(+.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 x x)) (+.f64 x -918938533204673/1000000000000000)) |
(-.f64 (+.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) x) (+.f64 (*.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) 918938533204673/1000000000000000)) |
(+.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 x x)) (-.f64 x (+.f64 918938533204673/1000000000000000 (/.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))))) |
(+.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 x x)) (+.f64 x (+.f64 -918938533204673/1000000000000000 (/.f64 -713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))))) |
x |
(-.f64 x 918938533204673/1000000000000000) |
(+.f64 x -918938533204673/1000000000000000) |
(-.f64 (+.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) x) 918938533204673/1000000000000000) |
(+.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 x x)) (+.f64 x -918938533204673/1000000000000000)) |
(-.f64 (+.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) x) (+.f64 (*.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) 918938533204673/1000000000000000)) |
(+.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 x x)) (-.f64 x (+.f64 918938533204673/1000000000000000 (/.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))))) |
(+.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 x x)) (+.f64 x (+.f64 -918938533204673/1000000000000000 (/.f64 -713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))))) |
918938533204673/1000000000000000 |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) |
(+.f64 918938533204673/1000000000000000 (neg.f64 x)) |
(-.f64 918938533204673/1000000000000000 x) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3)))) |
(+.f64 918938533204673/1000000000000000 (fma.f64 -1 x (*.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3)))) |
(+.f64 (*.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3)) (-.f64 918938533204673/1000000000000000 x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3)) (*.f64 -1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 (pow.f64 x 4))))) |
(+.f64 918938533204673/1000000000000000 (fma.f64 -1 x (fma.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3) (*.f64 -1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 (pow.f64 x 4))))) |
(+.f64 (fma.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3) (*.f64 -1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 (pow.f64 x 4))) (-.f64 918938533204673/1000000000000000 x)) |
(/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 2)) |
(/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 x x)) |
(-.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 x x)) (/.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))) |
(+.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 x x)) (/.f64 -713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 5))) (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (*.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 x x)) (/.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3)))) |
(+.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 x x)) (+.f64 (/.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5)) (/.f64 -713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 5))) (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 553356785875849185813651753046754059684528638095022056452717715645164869810465386529495301884023094104897/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 6))))) |
(+.f64 (/.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 x x)) (+.f64 (/.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 553356785875849185813651753046754059684528638095022056452717715645164869810465386529495301884023094104897/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))) |
(-.f64 (+.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 x x)) (+.f64 (/.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5)) (/.f64 -713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3)))) (/.f64 553356785875849185813651753046754059684528638095022056452717715645164869810465386529495301884023094104897/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))) |
(/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 2)) |
(/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 x x)) |
(-.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) (*.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 x x)) (/.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))) |
(+.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 x x)) (/.f64 -713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 5))) (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (*.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 5)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 x x)) (/.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3)))) |
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(/.f64 (+.f64 218351576424893481256591023073907143186364958193073216492478351667247827135876952934563866152186084732452167596134641203190508977325664676697244051633010145066388882180918353354430972616850799153568804235951172997032331675858861750773873613633420577923720921178416963969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 3) 3)) (*.f64 (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (*.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) -844448027808355901771309036929/1000000000000000000000000000000))) (+.f64 362608144481737265469833158440909721442932810515854431161650993725206607598521654984904889891681218140052228517708656871622887861039002027680580916909490404125446691232045765361921/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (-.f64 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 6) (*.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 3)))))) |
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(/.f64 (/.f64 (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2)) 1) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) |
(/.f64 (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2) -713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) -844448027808355901771309036929/1000000000000000000000000000000)) |
(/.f64 (/.f64 (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2)) (sqrt.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000))))) (sqrt.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000))))) |
(/.f64 (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2) -713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) -844448027808355901771309036929/1000000000000000000000000000000)) |
(/.f64 (/.f64 (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2)) (*.f64 (cbrt.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) (cbrt.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))))) (cbrt.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000))))) |
(/.f64 (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 2) -713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) -844448027808355901771309036929/1000000000000000000000000000000)) |
(/.f64 (/.f64 (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 3)) 1) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (*.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (-.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000)))) |
(/.f64 (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 3)) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (*.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) -844448027808355901771309036929/1000000000000000000000000000000)))) |
(/.f64 (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 3)) (fma.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) -844448027808355901771309036929/1000000000000000000000000000000) 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000)) |
(/.f64 (/.f64 (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 3)) (sqrt.f64 (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (*.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (-.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000))))) (sqrt.f64 (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (*.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (-.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000))))) |
(/.f64 (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 3)) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (*.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) -844448027808355901771309036929/1000000000000000000000000000000)))) |
(/.f64 (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 3)) (fma.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) -844448027808355901771309036929/1000000000000000000000000000000) 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000)) |
(/.f64 (/.f64 (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 3)) (*.f64 (cbrt.f64 (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (*.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (-.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000)))) (cbrt.f64 (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (*.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (-.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000)))))) (cbrt.f64 (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (*.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (-.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000))))) |
(/.f64 (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 3)) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (*.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) -844448027808355901771309036929/1000000000000000000000000000000)))) |
(/.f64 (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 3)) (fma.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) -844448027808355901771309036929/1000000000000000000000000000000) 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000)) |
(pow.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) 1) |
(fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) |
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) 2) |
(fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) |
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) 3) |
(fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) |
(pow.f64 (pow.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) 3) 1/3) |
(fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) |
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) 2)) |
(fabs.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) |
(log.f64 (exp.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) |
(fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))) |
(fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) |
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) 3)) |
(fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) |
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) |
(fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) |
(exp.f64 (log.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) |
(fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) 1)) |
(fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) |
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) |
(fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) |
(fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) |
(fma.f64 (+.f64 x 918938533204673/1000000000000000) x 844448027808355901771309036929/1000000000000000000000000000000) |
(fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) |
(fma.f64 1 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000) |
(fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) |
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000))) (sqrt.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000))) 844448027808355901771309036929/1000000000000000000000000000000) |
(fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000))) 2) (cbrt.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000))) 844448027808355901771309036929/1000000000000000000000000000000) |
(fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) |
Compiled 25740 to 18933 computations (26.4% saved)
12 alts after pruning (8 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 792 | 5 | 797 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 4 | 4 |
| Total | 793 | 12 | 805 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.9b | (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) (-.f64 x (*.f64 y (+.f64 x -1/2)))) |
| ✓ | 32.5b | (-.f64 (*.f64 y x) x) |
| 30.4b | (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) | |
| ✓ | 24.8b | (-.f64 918938533204673/1000000000000000 x) |
| ▶ | 10.2b | (+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| ✓ | 0.0b | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))) |
| 15.1b | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)) | |
| ▶ | 10.2b | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y)) |
| ✓ | 32.5b | (*.f64 (-.f64 y 1) x) |
| ▶ | 38.0b | (*.f64 y (-.f64 x 1/2)) |
| 52.8b | (*.f64 y x) | |
| ▶ | 42.2b | (neg.f64 x) |
Compiled 170 to 125 computations (26.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000))) | |
| 0.0b | (*.f64 x (+.f64 x 918938533204673/1000000000000000)) | |
| ✓ | 0.0b | (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) (-.f64 x (*.f64 y (+.f64 x -1/2)))) |
| 0.8b | (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) |
Compiled 64 to 44 computations (31.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) (-.f64 x (*.f64 y (+.f64 x -1/2)))) |
| 0.0ms | x | @ | 0 | (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) (-.f64 x (*.f64 y (+.f64 x -1/2)))) |
| 0.0ms | x | @ | inf | (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) (-.f64 x (*.f64 y (+.f64 x -1/2)))) |
| 0.0ms | x | @ | -inf | (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) (-.f64 x (*.f64 y (+.f64 x -1/2)))) |
| 0.0ms | y | @ | inf | (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) (-.f64 x (*.f64 y (+.f64 x -1/2)))) |
| 1× | batch-egg-rewrite |
| 1086× | associate-/r* |
| 476× | +-commutative |
| 466× | associate-+l+ |
| 404× | associate-+r+ |
| 402× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 49 |
| 1 | 390 | 45 |
| 2 | 5587 | 45 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) (-.f64 x (*.f64 y (+.f64 x -1/2)))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1888× | associate--r+ |
| 1428× | associate--l+ |
| 860× | fma-def |
| 824× | associate-+l+ |
| 688× | associate-+r+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 408 | 12970 |
| 1 | 1246 | 12060 |
| 2 | 5685 | 12060 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 2) x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 (-.f64 y 2) x) (*.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3))))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 (-.f64 y 2) x) (+.f64 (*.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3)) (*.f64 -1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 (pow.f64 x 4)))))) |
(*.f64 (-.f64 y 1) x) |
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x)) |
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 (-.f64 y 1) x) (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 (-.f64 y 1) x) (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3)))) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
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(/.f64 (/.f64 (-.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x x (*.f64 (*.f64 y (+.f64 x -1/2)) (+.f64 x (*.f64 y (+.f64 x -1/2)))))) (*.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)))) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) (fma.f64 x x (*.f64 (*.f64 y (+.f64 x -1/2)) (+.f64 x (*.f64 y (+.f64 x -1/2)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 x (*.f64 (*.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) 1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))))) (*.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) 1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217)) (+.f64 x (*.f64 y (+.f64 x -1/2)))) |
(/.f64 (/.f64 (-.f64 (fma.f64 x x (*.f64 (*.f64 y (+.f64 x -1/2)) (+.f64 x (*.f64 y (+.f64 x -1/2))))) (*.f64 (*.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) 1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)))) (*.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) 1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217)) (fma.f64 x x (*.f64 (*.f64 y (+.f64 x -1/2)) (+.f64 x (*.f64 y (+.f64 x -1/2)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 x (*.f64 y (+.f64 x -1/2)))) (*.f64 (-.f64 -844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)))) (-.f64 -844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) (+.f64 x (*.f64 y (+.f64 x -1/2)))) |
(/.f64 (/.f64 (-.f64 (*.f64 -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x x (*.f64 (*.f64 y (+.f64 x -1/2)) (+.f64 x (*.f64 y (+.f64 x -1/2)))))) (*.f64 (-.f64 -844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)))) (-.f64 -844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) (fma.f64 x x (*.f64 (*.f64 y (+.f64 x -1/2)) (+.f64 x (*.f64 y (+.f64 x -1/2)))))) |
(pow.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) x)) 1) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) x))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) x))) 3) |
(pow.f64 (pow.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) x)) 2)) |
(log.f64 (exp.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) x))))) |
(cbrt.f64 (pow.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) x)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) x)))) |
(exp.f64 (log.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) x)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) x))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) x)))) |
(fma.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) (neg.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))))) |
(fma.f64 1 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) (neg.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))))) |
(fma.f64 (sqrt.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (sqrt.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (neg.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) 2) (cbrt.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (neg.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))))) |
| Outputs |
|---|
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 2) x))) |
(+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (*.f64 (+.f64 y -2) x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 (-.f64 y 2) x) (*.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3))))) |
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (fma.f64 (+.f64 y -2) x (*.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3)))) |
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (fma.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3) (*.f64 (+.f64 y -2) x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 (-.f64 y 2) x) (+.f64 (*.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3)) (*.f64 -1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 (pow.f64 x 4)))))) |
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (fma.f64 (+.f64 y -2) x (fma.f64 1000000000000000000000000000000/844448027808355901771309036929 (pow.f64 x 3) (*.f64 -1000000000000000000000000000000000000000000000/775995832041789488711238455368417219672369217 (pow.f64 x 4))))) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(+.f64 (*.f64 -1/2 y) (*.f64 (-.f64 y 1) x)) |
(fma.f64 -1/2 y (*.f64 x (+.f64 y -1))) |
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 (-.f64 y 1) x) (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))) |
(fma.f64 -1/2 y (fma.f64 (+.f64 y -1) x (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 x x)))) |
(fma.f64 -1/2 y (fma.f64 x (+.f64 y -1) (/.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 x) x))) |
(-.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 (-.f64 y 1) x) (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (fma.f64 -1/2 y (fma.f64 (+.f64 y -1) x (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 x x)))) (/.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))) |
(+.f64 (fma.f64 -1/2 y (fma.f64 x (+.f64 y -1) (/.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 x) x))) (/.f64 -713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(neg.f64 (*.f64 x (+.f64 1 (neg.f64 y)))) |
(*.f64 x (neg.f64 (-.f64 1 y))) |
(+.f64 (*.f64 -1/2 y) (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(fma.f64 -1/2 y (neg.f64 (*.f64 x (+.f64 1 (neg.f64 y))))) |
(-.f64 (*.f64 -1/2 y) (*.f64 x (-.f64 1 y))) |
(+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))) |
(fma.f64 -1/2 y (fma.f64 -1 (*.f64 x (+.f64 1 (neg.f64 y))) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 x x)))) |
(fma.f64 -1/2 y (-.f64 (/.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 x) x) (*.f64 x (-.f64 1 y)))) |
(-.f64 (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))) (*.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (fma.f64 -1/2 y (fma.f64 -1 (*.f64 x (+.f64 1 (neg.f64 y))) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 x x)))) (/.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))) |
(+.f64 (fma.f64 -1/2 y (-.f64 (/.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 x) x) (*.f64 x (-.f64 1 y)))) (/.f64 -713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))) |
(-.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 918938533204673/1000000000000000 x) x)))) x) |
(-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000)) x) |
(-.f64 (+.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 918938533204673/1000000000000000 x) x)))) (*.f64 y (-.f64 x 1/2))) x) |
(-.f64 (fma.f64 y (+.f64 -1/2 x) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) x) |
(-.f64 (+.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 918938533204673/1000000000000000 x) x)))) (*.f64 y (-.f64 x 1/2))) x) |
(-.f64 (fma.f64 y (+.f64 -1/2 x) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) x) |
(-.f64 (+.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 918938533204673/1000000000000000 x) x)))) (*.f64 y (-.f64 x 1/2))) x) |
(-.f64 (fma.f64 y (+.f64 -1/2 x) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) x) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (+.f64 -1/2 x)) |
(-.f64 (+.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 918938533204673/1000000000000000 x) x)))) (*.f64 y (-.f64 x 1/2))) x) |
(-.f64 (fma.f64 y (+.f64 -1/2 x) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) x) |
(-.f64 (+.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 918938533204673/1000000000000000 x) x)))) (*.f64 y (-.f64 x 1/2))) x) |
(-.f64 (fma.f64 y (+.f64 -1/2 x) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) x) |
(-.f64 (+.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 918938533204673/1000000000000000 x) x)))) (*.f64 y (-.f64 x 1/2))) x) |
(-.f64 (fma.f64 y (+.f64 -1/2 x) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) x) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (+.f64 -1/2 x)) |
(-.f64 (+.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 918938533204673/1000000000000000 x) x)))) (*.f64 y (-.f64 x 1/2))) x) |
(-.f64 (fma.f64 y (+.f64 -1/2 x) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) x) |
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(pow.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) x)) 1) |
(-.f64 (fma.f64 y (+.f64 -1/2 x) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) x) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) x))) 2) |
(-.f64 (fma.f64 y (+.f64 -1/2 x) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) x) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) x))) 3) |
(-.f64 (fma.f64 y (+.f64 -1/2 x) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) x) |
(pow.f64 (pow.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) x)) 3) 1/3) |
(-.f64 (fma.f64 y (+.f64 -1/2 x) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) x) |
(sqrt.f64 (pow.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) x)) 2)) |
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 -1/2 x) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) x) 2)) |
(fabs.f64 (-.f64 (fma.f64 y (+.f64 -1/2 x) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) x)) |
(log.f64 (exp.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) x)))) |
(-.f64 (fma.f64 y (+.f64 -1/2 x) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) x) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) x))))) |
(-.f64 (fma.f64 y (+.f64 -1/2 x) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) x) |
(cbrt.f64 (pow.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) x)) 3)) |
(-.f64 (fma.f64 y (+.f64 -1/2 x) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) x) |
(expm1.f64 (log1p.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) x)))) |
(-.f64 (fma.f64 y (+.f64 -1/2 x) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) x) |
(exp.f64 (log.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) x)))) |
(-.f64 (fma.f64 y (+.f64 -1/2 x) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) x) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) x))) 1)) |
(-.f64 (fma.f64 y (+.f64 -1/2 x) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) x) |
(log1p.f64 (expm1.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) x)))) |
(-.f64 (fma.f64 y (+.f64 -1/2 x) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) x) |
(fma.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/.f64 1 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) (neg.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))))) |
(-.f64 (fma.f64 y (+.f64 -1/2 x) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) x) |
(fma.f64 1 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) (neg.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))))) |
(-.f64 (fma.f64 y (+.f64 -1/2 x) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) x) |
(fma.f64 (sqrt.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (sqrt.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (neg.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))))) |
(-.f64 (fma.f64 y (+.f64 -1/2 x) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) x) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) 2) (cbrt.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (neg.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))))) |
(-.f64 (fma.f64 y (+.f64 -1/2 x) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) x) |
Compiled 5 to 3 computations (40% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 y (-.f64 x 1/2)) |
Compiled 13 to 8 computations (38.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 y (-.f64 x 1/2)) |
| 0.0ms | x | @ | inf | (*.f64 y (-.f64 x 1/2)) |
| 0.0ms | x | @ | -inf | (*.f64 y (-.f64 x 1/2)) |
| 0.0ms | y | @ | -inf | (*.f64 y (-.f64 x 1/2)) |
| 0.0ms | y | @ | inf | (*.f64 y (-.f64 x 1/2)) |
| 1× | batch-egg-rewrite |
| 1574× | add-sqr-sqrt |
| 1550× | *-un-lft-identity |
| 1452× | add-cube-cbrt |
| 1436× | add-cbrt-cube |
| 1422× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 152 | 13 |
| 2 | 1891 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (-.f64 x 1/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (+.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1/4) y) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) y) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2)))))))) |
| 1× | egg-herbie |
| 948× | *-commutative |
| 884× | log-prod |
| 862× | fma-def |
| 862× | +-commutative |
| 734× | associate-+r- |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 464 |
| 1 | 143 | 456 |
| 2 | 415 | 456 |
| 3 | 2373 | 452 |
| 4 | 4613 | 452 |
| 5 | 7181 | 452 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 y) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(+.f64 (*.f64 y x) (*.f64 y -1/2)) |
(+.f64 (*.f64 x y) (*.f64 -1/2 y)) |
(-.f64 (+.f64 1 (*.f64 y (+.f64 x -1/2))) 1) |
(/.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2)) |
(/.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2)))) |
(/.f64 (*.f64 (fma.f64 x x -1/4) y) (+.f64 x 1/2)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) y) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2)))) |
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1) |
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3) |
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) |
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y)) |
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) |
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2)))) |
| Outputs |
|---|
(*.f64 -1/2 y) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 -1/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 -1/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 -1/2 x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 -1/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 -1/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 -1/2 x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 -1/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 -1/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 y x)) |
(*.f64 y (+.f64 -1/2 x)) |
(+.f64 (*.f64 y x) (*.f64 y -1/2)) |
(*.f64 y (+.f64 -1/2 x)) |
(+.f64 (*.f64 x y) (*.f64 -1/2 y)) |
(*.f64 y (+.f64 -1/2 x)) |
(-.f64 (+.f64 1 (*.f64 y (+.f64 x -1/2))) 1) |
(*.f64 y (+.f64 -1/2 x)) |
(/.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2)) |
(/.f64 y (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) |
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) y) |
(*.f64 y (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2))) |
(*.f64 (fma.f64 x x -1/4) (/.f64 y (+.f64 x 1/2))) |
(/.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2)))) |
(/.f64 y (/.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))) (+.f64 (pow.f64 x 3) -1/8))) |
(*.f64 (/.f64 y (fma.f64 x x (fma.f64 x 1/2 1/4))) (+.f64 (pow.f64 x 3) -1/8)) |
(*.f64 (+.f64 (pow.f64 x 3) -1/8) (/.f64 y (fma.f64 x x (fma.f64 x 1/2 1/4)))) |
(*.f64 (+.f64 (pow.f64 x 3) -1/8) (/.f64 y (fma.f64 x (+.f64 x 1/2) 1/4))) |
(/.f64 (*.f64 (fma.f64 x x -1/4) y) (+.f64 x 1/2)) |
(/.f64 y (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) |
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) y) |
(*.f64 y (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2))) |
(*.f64 (fma.f64 x x -1/4) (/.f64 y (+.f64 x 1/2))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) y) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2)))) |
(/.f64 y (/.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))) (+.f64 (pow.f64 x 3) -1/8))) |
(*.f64 (/.f64 y (fma.f64 x x (fma.f64 x 1/2 1/4))) (+.f64 (pow.f64 x 3) -1/8)) |
(*.f64 (+.f64 (pow.f64 x 3) -1/8) (/.f64 y (fma.f64 x x (fma.f64 x 1/2 1/4)))) |
(*.f64 (+.f64 (pow.f64 x 3) -1/8) (/.f64 y (fma.f64 x (+.f64 x 1/2) 1/4))) |
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1) |
(*.f64 y (+.f64 -1/2 x)) |
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2) |
(*.f64 y (+.f64 -1/2 x)) |
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3) |
(*.f64 y (+.f64 -1/2 x)) |
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3) |
(*.f64 y (+.f64 -1/2 x)) |
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) |
(*.f64 y (+.f64 -1/2 x)) |
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y)) |
(*.f64 y (+.f64 -1/2 x)) |
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3)) |
(*.f64 y (+.f64 -1/2 x)) |
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) |
(*.f64 y (+.f64 -1/2 x)) |
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2)))) |
(*.f64 y (+.f64 -1/2 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1)) |
(*.f64 y (+.f64 -1/2 x)) |
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2)))) |
(*.f64 y (+.f64 -1/2 x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y)) |
Compiled 19 to 13 computations (31.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y)) |
| 0.0ms | y | @ | 0 | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y)) |
| 0.0ms | x | @ | inf | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y)) |
| 0.0ms | y | @ | -inf | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y)) |
| 0.0ms | y | @ | inf | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y)) |
| 1× | batch-egg-rewrite |
| 904× | *-commutative |
| 850× | associate-*r/ |
| 750× | associate-*l/ |
| 696× | distribute-lft-in |
| 680× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 204 | 15 |
| 2 | 2719 | 15 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y)) |
| Outputs |
|---|
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(-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -1/2 (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/2 y) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/2 y)) (sqrt.f64 (*.f64 -1/2 y)) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (*.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 y)) 2) (cbrt.f64 (*.f64 -1/2 y)) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) (*.f64 -1/2 y)))))) |
| 1× | egg-herbie |
| 1602× | associate-*r/ |
| 1280× | associate-*l/ |
| 668× | +-commutative |
| 658× | associate-+l+ |
| 596× | associate-+r+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 295 | 6195 |
| 1 | 872 | 5563 |
| 2 | 4120 | 5563 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 -1 x))) |
(*.f64 -1 x) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 -1 x))) |
(*.f64 -1 x) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 -1 x))) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 -1 x))) |
(-.f64 918938533204673/1000000000000000 x) |
(-.f64 (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) x) |
(-.f64 (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) x) |
(-.f64 (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) x) |
(*.f64 -1/2 y) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x) |
(*.f64 -1/2 y) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x) |
(-.f64 918938533204673/1000000000000000 (+.f64 x (*.f64 y 1/2))) |
(-.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y 1/2)) |
(-.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) (fma.f64 (neg.f64 y) -1/2 (*.f64 -1/2 y))) |
(-.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) (fma.f64 1/2 y (*.f64 -1/2 y))) |
(-.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) (fma.f64 (*.f64 y 1/2) 1 (*.f64 -1/2 y))) |
(-.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 -1/2 y))) (sqrt.f64 (*.f64 -1/2 y)) (*.f64 -1/2 y))) |
(-.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 -1/2 y))) (pow.f64 (cbrt.f64 (*.f64 -1/2 y)) 2) (*.f64 -1/2 y))) |
(-.f64 (exp.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 x))) (-.f64 1 (*.f64 -1/2 y))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 y))) (-.f64 1 (-.f64 918938533204673/1000000000000000 x))) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x) |
(-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 918938533204673/1000000000000000 x)) (-.f64 (/.f64 x (/.f64 (+.f64 918938533204673/1000000000000000 x) x)) (*.f64 -1/2 y))) |
(-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))) (*.f64 -1/2 y))) |
(-.f64 (/.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y 1/2))) (/.f64 (*.f64 1/4 (*.f64 y y)) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y 1/2)))) |
(-.f64 (+.f64 (-.f64 918938533204673/1000000000000000 x) (exp.f64 (log1p.f64 (*.f64 -1/2 y)))) 1) |
(-.f64 (+.f64 (*.f64 -1/2 y) (exp.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 x)))) 1) |
(-.f64 (+.f64 (*.f64 -1/2 y) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 918938533204673/1000000000000000 x))) (/.f64 x (/.f64 (+.f64 918938533204673/1000000000000000 x) x))) |
(-.f64 (+.f64 (*.f64 -1/2 y) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))) (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))) |
(-.f64 (+.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) 0) x) |
(*.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) 1) |
(*.f64 1 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x))) |
(*.f64 (sqrt.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)))) |
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(pow.f64 (cbrt.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x))) 3) |
(pow.f64 (pow.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) 3) 1/3) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 1/4 (*.f64 y y))) (neg.f64 (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y 1/2))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (*.f64 -1/8 (pow.f64 y 3))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y 1/2))))))) |
(sqrt.f64 (pow.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) 2)) |
(log.f64 (exp.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x))))) |
(cbrt.f64 (pow.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)))) |
(exp.f64 (log.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)))) |
(log1p.f64 (expm1.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)))) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 y -1/2 (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 1 (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y)) |
(fma.f64 1 (*.f64 -1/2 y) (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 (sqrt.f64 (*.f64 -1/2 y)) (sqrt.f64 (*.f64 -1/2 y)) (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (*.f64 -1/2 y)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 y)) 2) (cbrt.f64 (*.f64 -1/2 y)) (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) (*.f64 -1/2 y)) |
| Outputs |
|---|
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 -1 x))) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 -1 x))) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 -1 x))) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 -1 x))) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 -1 x))) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 -1 x))) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 -1 x))) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 -1 x))) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 -1 x))) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 918938533204673/1000000000000000 x) |
(-.f64 (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) x) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) x) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) x) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(*.f64 -1/2 y) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(*.f64 -1/2 y) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 918938533204673/1000000000000000 (+.f64 x (*.f64 y 1/2))) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y 1/2)) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) (fma.f64 (neg.f64 y) -1/2 (*.f64 -1/2 y))) |
(-.f64 (-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) (fma.f64 (neg.f64 y) -1/2 (*.f64 -1/2 y))) |
(+.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) (*.f64 y 0)) |
(+.f64 (-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) (*.f64 y 0)) |
(-.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) (fma.f64 1/2 y (*.f64 -1/2 y))) |
(-.f64 (-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) (fma.f64 (neg.f64 y) -1/2 (*.f64 -1/2 y))) |
(+.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) (*.f64 y 0)) |
(+.f64 (-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) (*.f64 y 0)) |
(-.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) (fma.f64 (*.f64 y 1/2) 1 (*.f64 -1/2 y))) |
(-.f64 (-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) (fma.f64 (neg.f64 y) -1/2 (*.f64 -1/2 y))) |
(+.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) (*.f64 y 0)) |
(+.f64 (-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) (*.f64 y 0)) |
(-.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 -1/2 y))) (sqrt.f64 (*.f64 -1/2 y)) (*.f64 -1/2 y))) |
(-.f64 (-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) (fma.f64 (neg.f64 y) -1/2 (*.f64 -1/2 y))) |
(+.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) (*.f64 y 0)) |
(+.f64 (-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) (*.f64 y 0)) |
(-.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 -1/2 y))) (pow.f64 (cbrt.f64 (*.f64 -1/2 y)) 2) (*.f64 -1/2 y))) |
(-.f64 (-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) (fma.f64 (neg.f64 y) -1/2 (*.f64 -1/2 y))) |
(+.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) (*.f64 y 0)) |
(+.f64 (-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) (*.f64 y 0)) |
(-.f64 (exp.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 x))) (-.f64 1 (*.f64 -1/2 y))) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)))) 1) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 y))) (-.f64 1 (-.f64 918938533204673/1000000000000000 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 y))) (+.f64 81061466795327/1000000000000000 x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 y))) (+.f64 x 81061466795327/1000000000000000)) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (expm1.f64 (log1p.f64 (*.f64 -1/2 y)))) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 918938533204673/1000000000000000 x)) (-.f64 (/.f64 x (/.f64 (+.f64 918938533204673/1000000000000000 x) x)) (*.f64 -1/2 y))) |
(+.f64 (-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 918938533204673/1000000000000000 x)) (*.f64 (/.f64 x (+.f64 918938533204673/1000000000000000 x)) x)) (*.f64 -1/2 y)) |
(-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 918938533204673/1000000000000000 x)) (fma.f64 (/.f64 x (+.f64 918938533204673/1000000000000000 x)) x (*.f64 y 1/2))) |
(-.f64 (fma.f64 -1/2 y (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 918938533204673/1000000000000000 x))) (*.f64 x (/.f64 x (+.f64 918938533204673/1000000000000000 x)))) |
(-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))) (*.f64 -1/2 y))) |
(+.f64 (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))) (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))) (*.f64 -1/2 y)) |
(-.f64 (fma.f64 -1/2 y (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) |
(-.f64 (/.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y 1/2))) (/.f64 (*.f64 1/4 (*.f64 y y)) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y 1/2)))) |
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 y (*.f64 y -1/4))) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y 1/2))) |
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 y (*.f64 y -1/4))) (fma.f64 y 1/2 (-.f64 918938533204673/1000000000000000 x))) |
(/.f64 (-.f64 (*.f64 y (*.f64 y 1/4)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (+.f64 x (fma.f64 -1/2 y -918938533204673/1000000000000000))) |
(-.f64 (+.f64 (-.f64 918938533204673/1000000000000000 x) (exp.f64 (log1p.f64 (*.f64 -1/2 y)))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 y))) (+.f64 81061466795327/1000000000000000 x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 y))) (+.f64 x 81061466795327/1000000000000000)) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (expm1.f64 (log1p.f64 (*.f64 -1/2 y)))) |
(-.f64 (+.f64 (*.f64 -1/2 y) (exp.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 x)))) 1) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (+.f64 (*.f64 -1/2 y) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 918938533204673/1000000000000000 x))) (/.f64 x (/.f64 (+.f64 918938533204673/1000000000000000 x) x))) |
(+.f64 (-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 918938533204673/1000000000000000 x)) (*.f64 (/.f64 x (+.f64 918938533204673/1000000000000000 x)) x)) (*.f64 -1/2 y)) |
(-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 918938533204673/1000000000000000 x)) (fma.f64 (/.f64 x (+.f64 918938533204673/1000000000000000 x)) x (*.f64 y 1/2))) |
(-.f64 (fma.f64 -1/2 y (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 918938533204673/1000000000000000 x))) (*.f64 x (/.f64 x (+.f64 918938533204673/1000000000000000 x)))) |
(-.f64 (+.f64 (*.f64 -1/2 y) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))) (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))) |
(+.f64 (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))) (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))) (*.f64 -1/2 y)) |
(-.f64 (fma.f64 -1/2 y (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) |
(-.f64 (+.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) 0) x) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(*.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) 1) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(*.f64 1 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x))) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(*.f64 (sqrt.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)))) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(*.f64 (cbrt.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x))) 2)) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x))) 2) (cbrt.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)))) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(*.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 1/4 (*.f64 y y))) (/.f64 1 (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y 1/2)))) |
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 y (*.f64 y -1/4))) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y 1/2))) |
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 y (*.f64 y -1/4))) (fma.f64 y 1/2 (-.f64 918938533204673/1000000000000000 x))) |
(/.f64 (-.f64 (*.f64 y (*.f64 y 1/4)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (+.f64 x (fma.f64 -1/2 y -918938533204673/1000000000000000))) |
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(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (*.f64 -1/8 (pow.f64 y 3))) 1) (+.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y 1/2))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (*.f64 -1/8 (pow.f64 y 3))) 1) (fma.f64 1/4 (*.f64 y y) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y 1/2))))) |
(/.f64 (fma.f64 -1/8 (pow.f64 y 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (fma.f64 (-.f64 918938533204673/1000000000000000 x) (fma.f64 y 1/2 (-.f64 918938533204673/1000000000000000 x)) (*.f64 1/4 (*.f64 y y)))) |
(/.f64 (fma.f64 -1/8 (pow.f64 y 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (fma.f64 (-.f64 918938533204673/1000000000000000 x) (fma.f64 y 1/2 (-.f64 918938533204673/1000000000000000 x)) (*.f64 y (*.f64 y 1/4)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (*.f64 -1/8 (pow.f64 y 3))) (sqrt.f64 (+.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y 1/2)))))) (sqrt.f64 (+.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y 1/2)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (*.f64 -1/8 (pow.f64 y 3))) 1) (fma.f64 1/4 (*.f64 y y) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y 1/2))))) |
(/.f64 (fma.f64 -1/8 (pow.f64 y 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (fma.f64 (-.f64 918938533204673/1000000000000000 x) (fma.f64 y 1/2 (-.f64 918938533204673/1000000000000000 x)) (*.f64 1/4 (*.f64 y y)))) |
(/.f64 (fma.f64 -1/8 (pow.f64 y 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (fma.f64 (-.f64 918938533204673/1000000000000000 x) (fma.f64 y 1/2 (-.f64 918938533204673/1000000000000000 x)) (*.f64 y (*.f64 y 1/4)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (*.f64 -1/8 (pow.f64 y 3))) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y 1/2))))) (cbrt.f64 (+.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y 1/2))))))) (cbrt.f64 (+.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y 1/2)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (*.f64 -1/8 (pow.f64 y 3))) 1) (fma.f64 1/4 (*.f64 y y) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y 1/2))))) |
(/.f64 (fma.f64 -1/8 (pow.f64 y 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (fma.f64 (-.f64 918938533204673/1000000000000000 x) (fma.f64 y 1/2 (-.f64 918938533204673/1000000000000000 x)) (*.f64 1/4 (*.f64 y y)))) |
(/.f64 (fma.f64 -1/8 (pow.f64 y 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (fma.f64 (-.f64 918938533204673/1000000000000000 x) (fma.f64 y 1/2 (-.f64 918938533204673/1000000000000000 x)) (*.f64 y (*.f64 y 1/4)))) |
(pow.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) 1) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(pow.f64 (sqrt.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x))) 2) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(pow.f64 (cbrt.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x))) 3) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(pow.f64 (pow.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) 3) 1/3) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 1/4 (*.f64 y y))) (neg.f64 (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y 1/2))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 y (*.f64 y -1/4))) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y 1/2))) |
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 y (*.f64 y -1/4))) (fma.f64 y 1/2 (-.f64 918938533204673/1000000000000000 x))) |
(/.f64 (-.f64 (*.f64 y (*.f64 y 1/4)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (+.f64 x (fma.f64 -1/2 y -918938533204673/1000000000000000))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (*.f64 -1/8 (pow.f64 y 3))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 y y)) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y 1/2))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (*.f64 -1/8 (pow.f64 y 3))) 1) (fma.f64 1/4 (*.f64 y y) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y 1/2))))) |
(/.f64 (fma.f64 -1/8 (pow.f64 y 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (fma.f64 (-.f64 918938533204673/1000000000000000 x) (fma.f64 y 1/2 (-.f64 918938533204673/1000000000000000 x)) (*.f64 1/4 (*.f64 y y)))) |
(/.f64 (fma.f64 -1/8 (pow.f64 y 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (fma.f64 (-.f64 918938533204673/1000000000000000 x) (fma.f64 y 1/2 (-.f64 918938533204673/1000000000000000 x)) (*.f64 y (*.f64 y 1/4)))) |
(sqrt.f64 (pow.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) 2)) |
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) 2)) |
(fabs.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x))) |
(fabs.f64 (-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x)) |
(log.f64 (exp.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)))) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x))))) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(cbrt.f64 (pow.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) 3)) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(expm1.f64 (log1p.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)))) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(exp.f64 (log.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)))) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(log1p.f64 (expm1.f64 (fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)))) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 y -1/2 (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 1 (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y)) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 1 (*.f64 -1/2 y) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 (sqrt.f64 (*.f64 -1/2 y)) (sqrt.f64 (*.f64 -1/2 y)) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (*.f64 -1/2 y)) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 y)) 2) (cbrt.f64 (*.f64 -1/2 y)) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) (*.f64 -1/2 y)) |
(-.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) x) |
(fma.f64 -1/2 y (-.f64 918938533204673/1000000000000000 x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
Compiled 25 to 15 computations (40% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| 0.0ms | x | @ | 0 | (+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| 0.0ms | x | @ | inf | (+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| 0.0ms | y | @ | inf | (+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| 0.0ms | y | @ | -inf | (+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| 1× | batch-egg-rewrite |
| 1006× | *-commutative |
| 908× | associate-*r/ |
| 732× | associate-*l/ |
| 680× | distribute-lft-in |
| 660× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 23 |
| 1 | 248 | 15 |
| 2 | 3339 | 15 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (*.f64 y -1/2)) -918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 918938533204673/1000000000000000 (+.f64 x (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 x (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 x (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (+.f64 1 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 y -1/2)))) 81061466795327/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 918938533204673/1000000000000000) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (+.f64 x (*.f64 y 1/2)) x)) (-.f64 (/.f64 (*.f64 (*.f64 y y) 1/4) (+.f64 x (*.f64 y 1/2))) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (*.f64 y 1/2) (+.f64 x (*.f64 y 1/2))))) (-.f64 (/.f64 (*.f64 (pow.f64 y 3) 1/8) (fma.f64 x x (*.f64 (*.f64 y 1/2) (+.f64 x (*.f64 y 1/2))))) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x (*.f64 y 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775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)) (*.f64 (cbrt.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000))))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/2))) (sqrt.f64 (+.f64 x (*.f64 y -1/2))) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/2))) 2) (cbrt.f64 (+.f64 x (*.f64 y -1/2))) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))))) |
| 1× | egg-herbie |
| 1190× | associate-/l* |
| 1168× | times-frac |
| 1046× | associate-/r* |
| 894× | *-commutative |
| 570× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 289 | 5810 |
| 1 | 800 | 5092 |
| 2 | 2917 | 4770 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) (*.f64 1/2 y)) |
(*.f64 -1 x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) (*.f64 1/2 y)) |
(*.f64 -1 x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) (*.f64 1/2 y)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) (*.f64 1/2 y)) |
(-.f64 918938533204673/1000000000000000 x) |
(-.f64 (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) x) |
(-.f64 (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) x) |
(-.f64 (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) x) |
(*.f64 -1/2 y) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x) |
(*.f64 -1/2 y) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x) |
(-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) |
(-.f64 (+.f64 x (*.f64 y -1/2)) -918938533204673/1000000000000000) |
(-.f64 918938533204673/1000000000000000 (+.f64 x (*.f64 y 1/2))) |
(-.f64 0 (+.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))) |
(-.f64 0 (-.f64 x (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))) |
(-.f64 0 (-.f64 x (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)))) 1) |
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))) |
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) |
(-.f64 (exp.f64 (log1p.f64 x)) (+.f64 1 (fma.f64 y 1/2 -918938533204673/1000000000000000))) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 y -1/2)))) 81061466795327/1000000000000000) |
(-.f64 (+.f64 x 918938533204673/1000000000000000) (*.f64 y 1/2)) |
(-.f64 (/.f64 x (/.f64 (+.f64 x (*.f64 y 1/2)) x)) (-.f64 (/.f64 (*.f64 (*.f64 y y) 1/4) (+.f64 x (*.f64 y 1/2))) 918938533204673/1000000000000000)) |
(-.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (*.f64 y 1/2) (+.f64 x (*.f64 y 1/2))))) (-.f64 (/.f64 (*.f64 (pow.f64 y 3) 1/8) (fma.f64 x x (*.f64 (*.f64 y 1/2) (+.f64 x (*.f64 y 1/2))))) 918938533204673/1000000000000000)) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000))) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)))) |
(-.f64 (+.f64 918938533204673/1000000000000000 (exp.f64 (log1p.f64 (+.f64 x (*.f64 y -1/2))))) 1) |
(-.f64 (+.f64 918938533204673/1000000000000000 (/.f64 x (/.f64 (+.f64 x (*.f64 y 1/2)) x))) (/.f64 (*.f64 (*.f64 y y) 1/4) (+.f64 x (*.f64 y 1/2)))) |
(-.f64 (+.f64 918938533204673/1000000000000000 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (*.f64 y 1/2) (+.f64 x (*.f64 y 1/2)))))) (/.f64 (*.f64 (pow.f64 y 3) 1/8) (fma.f64 x x (*.f64 (*.f64 y 1/2) (+.f64 x (*.f64 y 1/2)))))) |
(-.f64 (+.f64 (+.f64 x 918938533204673/1000000000000000) 0) (*.f64 y 1/2)) |
(*.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1) |
(*.f64 1 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))) |
(*.f64 (sqrt.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))) (sqrt.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)))) |
(*.f64 (cbrt.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))) (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))) 2) (cbrt.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (/.f64 1 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)))) |
(*.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)))) |
(*.f64 (/.f64 1 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000))) (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000)) |
(*.f64 (/.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000))) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000)) (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (-.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) (*.f64 918938533204673/1000000000000000 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))))) |
(*.f64 (/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) (pow.f64 (+.f64 x (*.f64 y -1/2)) 2)) (*.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000))))) (+.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000))) |
(*.f64 (/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 3) (pow.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) (pow.f64 (+.f64 x (*.f64 y -1/2)) 2)) (-.f64 (*.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000))) (*.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)))))) |
(/.f64 1 (/.f64 1 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000))) |
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)) (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000))) |
(/.f64 (sqrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3))) (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)) (sqrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000)) (/.f64 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3))) (cbrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)))) (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)) (cbrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000))) (/.f64 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000)))) |
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2)) (+.f64 (+.f64 x 918938533204673/1000000000000000) (*.f64 y 1/2))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3) (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)) 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)) (-.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 y 1/2 -918938533204673/1000000000000000))) (+.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) (pow.f64 (+.f64 x (*.f64 y -1/2)) 2)) 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000) (*.f64 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)) (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000))) |
(/.f64 (+.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3) 3)) (*.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)) (-.f64 (+.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3) (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)) 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3)) (+.f64 (*.f64 x x) (+.f64 (*.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (*.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 3) 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)) (+.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) (pow.f64 (+.f64 x (*.f64 y -1/2)) 2)) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000)) (neg.f64 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)))) |
(/.f64 (neg.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3))) (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)))) |
(/.f64 (*.f64 1 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2))) (+.f64 (+.f64 x 918938533204673/1000000000000000) (*.f64 y 1/2))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 x x) (*.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 y 1/2 -918938533204673/1000000000000000)))) (+.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3))) (+.f64 (*.f64 x x) (+.f64 (*.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (*.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000))) (neg.f64 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)))) |
(/.f64 (*.f64 1 (neg.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))) (sqrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000))) (sqrt.f64 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))) 2) (cbrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000))) (cbrt.f64 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)))) |
(/.f64 (*.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2)) 1) (+.f64 (+.f64 x 918938533204673/1000000000000000) (*.f64 y 1/2))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 y 1/2 -918938533204673/1000000000000000))) 1) (+.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3)) 1) (+.f64 (*.f64 x x) (+.f64 (*.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (*.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000)) 1) (neg.f64 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3))) 1) (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3))) (sqrt.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000)) (sqrt.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)))) (sqrt.f64 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3))) (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))) 2)) (cbrt.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000)) (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))) 2)) (cbrt.f64 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) (pow.f64 (+.f64 x (*.f64 y -1/2)) 2)) 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000) (/.f64 1 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)))) (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 3) 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (/.f64 1 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)))) (+.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) (pow.f64 (+.f64 x (*.f64 y -1/2)) 2)) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3) (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)) 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (/.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)))) (-.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)) |
(/.f64 (*.f64 (+.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)))) (-.f64 (+.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3) (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)) 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) 1) (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (sqrt.f64 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)))) (sqrt.f64 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (cbrt.f64 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000))) (cbrt.f64 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000))))) (cbrt.f64 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)))) |
(/.f64 (/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)) 1) (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000))) |
(/.f64 (/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)) (sqrt.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)))) |
(/.f64 (/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)) (*.f64 (cbrt.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000))))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)))) |
(pow.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1) |
(pow.f64 (sqrt.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))) 2) |
(pow.f64 (cbrt.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))) 3) |
(pow.f64 (pow.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) 2)) |
(log.f64 (exp.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))))) |
(cbrt.f64 (pow.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)))) |
(exp.f64 (log.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)))) |
(log1p.f64 (expm1.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)))) |
(fma.f64 1 x (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) |
(fma.f64 1 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) |
(fma.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/2))) (sqrt.f64 (+.f64 x (*.f64 y -1/2))) 918938533204673/1000000000000000) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/2))) 2) (cbrt.f64 (+.f64 x (*.f64 y -1/2))) 918938533204673/1000000000000000) |
(fma.f64 -1 x (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) |
| Outputs |
|---|
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(fma.f64 y -1/2 918938533204673/1000000000000000) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) (*.f64 1/2 y)) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y -1/2)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 1/2 y x)) |
(-.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) (*.f64 1/2 y)) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y -1/2)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 1/2 y x)) |
(-.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) (*.f64 1/2 y)) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y -1/2)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 1/2 y x)) |
(-.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) (*.f64 1/2 y)) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y -1/2)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 1/2 y x)) |
(-.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 x)) (*.f64 1/2 y)) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y -1/2)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 1/2 y x)) |
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(/.f64 (+.f64 (pow.f64 (fma.f64 y -1/2 x) 6) -602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 y -1/2 x) (+.f64 -918938533204673/1000000000000000 (fma.f64 y -1/2 x)))) (+.f64 (pow.f64 (fma.f64 y -1/2 x) 3) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) |
(/.f64 (*.f64 (+.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)))) (-.f64 (+.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3) (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)) 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)))) |
(/.f64 (+.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/1000000000000000 (+.f64 x (*.f64 y -1/2))))) (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 6) (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)))))) |
(/.f64 (+.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (fma.f64 y -1/2 x) 3) 3)) (*.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (pow.f64 (fma.f64 y -1/2 x) 2) (*.f64 -918938533204673/1000000000000000 (fma.f64 y -1/2 x)))) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 y -1/2 x) 6) (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y -1/2 x) 3)))))) |
(/.f64 (+.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (fma.f64 y -1/2 x) 3) 3)) (*.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 y -1/2 x) (+.f64 -918938533204673/1000000000000000 (fma.f64 y -1/2 x)))) (+.f64 (pow.f64 (fma.f64 y -1/2 x) 6) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (fma.f64 y -1/2 x) 3) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) 1) (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) (+.f64 x (fma.f64 y -1/2 -918938533204673/1000000000000000))) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 x (fma.f64 y -1/2 -918938533204673/1000000000000000)))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 y -1/2 x) 2) (+.f64 x (fma.f64 y -1/2 -918938533204673/1000000000000000))) (/.f64 -844448027808355901771309036929/1000000000000000000000000000000 (+.f64 x (fma.f64 y -1/2 -918938533204673/1000000000000000)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 y -1/2 x) 2) -844448027808355901771309036929/1000000000000000000000000000000) (+.f64 -918938533204673/1000000000000000 (fma.f64 y -1/2 x))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (sqrt.f64 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)))) (sqrt.f64 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) (+.f64 x (fma.f64 y -1/2 -918938533204673/1000000000000000))) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 x (fma.f64 y -1/2 -918938533204673/1000000000000000)))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 y -1/2 x) 2) (+.f64 x (fma.f64 y -1/2 -918938533204673/1000000000000000))) (/.f64 -844448027808355901771309036929/1000000000000000000000000000000 (+.f64 x (fma.f64 y -1/2 -918938533204673/1000000000000000)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 y -1/2 x) 2) -844448027808355901771309036929/1000000000000000000000000000000) (+.f64 -918938533204673/1000000000000000 (fma.f64 y -1/2 x))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (cbrt.f64 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000))) (cbrt.f64 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000))))) (cbrt.f64 (+.f64 x (-.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) (+.f64 x (fma.f64 y -1/2 -918938533204673/1000000000000000))) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 x (fma.f64 y -1/2 -918938533204673/1000000000000000)))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 y -1/2 x) 2) (+.f64 x (fma.f64 y -1/2 -918938533204673/1000000000000000))) (/.f64 -844448027808355901771309036929/1000000000000000000000000000000 (+.f64 x (fma.f64 y -1/2 -918938533204673/1000000000000000)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 y -1/2 x) 2) -844448027808355901771309036929/1000000000000000000000000000000) (+.f64 -918938533204673/1000000000000000 (fma.f64 y -1/2 x))) |
(/.f64 (/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)) 1) (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000))) |
(*.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/1000000000000000 (+.f64 x (*.f64 y -1/2))))))) |
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y -1/2 x) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (pow.f64 (fma.f64 y -1/2 x) 2) (*.f64 -918938533204673/1000000000000000 (fma.f64 y -1/2 x))))) |
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y -1/2 x) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 y -1/2 x) (+.f64 -918938533204673/1000000000000000 (fma.f64 y -1/2 x))))) |
(/.f64 (/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)) (sqrt.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)))) |
(*.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/1000000000000000 (+.f64 x (*.f64 y -1/2))))))) |
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y -1/2 x) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (pow.f64 (fma.f64 y -1/2 x) 2) (*.f64 -918938533204673/1000000000000000 (fma.f64 y -1/2 x))))) |
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y -1/2 x) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 y -1/2 x) (+.f64 -918938533204673/1000000000000000 (fma.f64 y -1/2 x))))) |
(/.f64 (/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)) (*.f64 (cbrt.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000))))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000)))) |
(*.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x (*.f64 y -1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 y -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/1000000000000000 (+.f64 x (*.f64 y -1/2))))))) |
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y -1/2 x) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (pow.f64 (fma.f64 y -1/2 x) 2) (*.f64 -918938533204673/1000000000000000 (fma.f64 y -1/2 x))))) |
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y -1/2 x) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 y -1/2 x) (+.f64 -918938533204673/1000000000000000 (fma.f64 y -1/2 x))))) |
(pow.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1) |
(-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y -1/2 x)) |
(pow.f64 (sqrt.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))) 2) |
(-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y -1/2 x)) |
(pow.f64 (cbrt.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))) 3) |
(-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y -1/2 x)) |
(pow.f64 (pow.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) 3) 1/3) |
(-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y -1/2 x)) |
(sqrt.f64 (pow.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) 2)) |
(fabs.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y -1/2 x))) |
(log.f64 (exp.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)))) |
(-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y -1/2 x)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000))))) |
(-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y -1/2 x)) |
(cbrt.f64 (pow.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) 3)) |
(-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y -1/2 x)) |
(expm1.f64 (log1p.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)))) |
(-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y -1/2 x)) |
(exp.f64 (log.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)))) |
(-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y -1/2 x)) |
(log1p.f64 (expm1.f64 (-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)))) |
(-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y -1/2 x)) |
(fma.f64 1 x (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) |
(-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y -1/2 x)) |
(fma.f64 1 (+.f64 x (*.f64 y -1/2)) 918938533204673/1000000000000000) |
(-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y -1/2 x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) |
(-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y -1/2 x)) |
(fma.f64 (sqrt.f64 (+.f64 x (*.f64 y -1/2))) (sqrt.f64 (+.f64 x (*.f64 y -1/2))) 918938533204673/1000000000000000) |
(-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y -1/2 x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) |
(-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y -1/2 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -1/2))) 2) (cbrt.f64 (+.f64 x (*.f64 y -1/2))) 918938533204673/1000000000000000) |
(-.f64 x (fma.f64 y 1/2 -918938533204673/1000000000000000)) |
(+.f64 918938533204673/1000000000000000 (fma.f64 y -1/2 x)) |
(fma.f64 -1 x (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y -1/2)) |
(-.f64 918938533204673/1000000000000000 (fma.f64 1/2 y x)) |
(-.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) x) |
Compiled 24071 to 17514 computations (27.2% saved)
12 alts after pruning (6 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 830 | 3 | 833 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 6 | 8 |
| Total | 833 | 12 | 845 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.3b | (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 844448027808355901771309036929/1000000000000000000000000000000) (-.f64 x (*.f64 y (+.f64 x -1/2)))) |
| 10.2b | (-.f64 (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) x) | |
| ✓ | 32.5b | (-.f64 (*.f64 y x) x) |
| ▶ | 30.4b | (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
| ✓ | 24.8b | (-.f64 918938533204673/1000000000000000 x) |
| ✓ | 0.0b | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))) |
| ▶ | 15.1b | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)) |
| ✓ | 32.5b | (*.f64 (-.f64 y 1) x) |
| ✓ | 38.0b | (*.f64 y (-.f64 x 1/2)) |
| ▶ | 52.8b | (*.f64 y x) |
| ▶ | 47.9b | (*.f64 y -1/2) |
| ✓ | 42.2b | (neg.f64 x) |
Compiled 137 to 101 computations (26.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 844448027808355901771309036929/1000000000000000000000000000000) (-.f64 x (*.f64 y (+.f64 x -1/2)))) |
| 0.0b | (*.f64 y (+.f64 x -1/2)) | |
| ✓ | 0.0b | (-.f64 x (*.f64 y (+.f64 x -1/2))) |
| ✓ | 1.0b | (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 844448027808355901771309036929/1000000000000000000000000000000) |
Compiled 36 to 25 computations (30.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 x (*.f64 y (+.f64 x -1/2))) |
| 0.0ms | x | @ | -inf | (-.f64 x (*.f64 y (+.f64 x -1/2))) |
| 0.0ms | y | @ | -inf | (-.f64 x (*.f64 y (+.f64 x -1/2))) |
| 0.0ms | y | @ | 0 | (-.f64 x (*.f64 y (+.f64 x -1/2))) |
| 0.0ms | x | @ | inf | (-.f64 x (*.f64 y (+.f64 x -1/2))) |
| 1× | batch-egg-rewrite |
| 1618× | associate-*l/ |
| 1410× | distribute-lft-in |
| 396× | associate-/r* |
| 296× | +-commutative |
| 284× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 45 |
| 1 | 282 | 45 |
| 2 | 3718 | 45 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 844448027808355901771309036929/1000000000000000000000000000000) |
(-.f64 x (*.f64 y (+.f64 x -1/2))) |
(-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 844448027808355901771309036929/1000000000000000000000000000000) (-.f64 x (*.f64 y (+.f64 x -1/2)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x . 918938533204673/1000000000000000))))) |
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| 1× | egg-herbie |
| 1016× | fma-def |
| 790× | associate-*r* |
| 680× | associate-*l* |
| 658× | associate-/l* |
| 626× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 644 | 16056 |
| 1 | 1943 | 13744 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 y) |
(+.f64 (*.f64 1/2 y) (*.f64 (-.f64 1 y) x)) |
(+.f64 (*.f64 1/2 y) (*.f64 (-.f64 1 y) x)) |
(+.f64 (*.f64 1/2 y) (*.f64 (-.f64 1 y) x)) |
(*.f64 (-.f64 1 y) x) |
(+.f64 (*.f64 1/2 y) (*.f64 (-.f64 1 y) x)) |
(+.f64 (*.f64 1/2 y) (*.f64 (-.f64 1 y) x)) |
(+.f64 (*.f64 1/2 y) (*.f64 (-.f64 1 y) x)) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(+.f64 (*.f64 1/2 y) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 (*.f64 1/2 y) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 (*.f64 1/2 y) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
x |
(+.f64 (*.f64 y (-.f64 1/2 x)) x) |
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(/.f64 (*.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) 3) (pow.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) 3))) (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2)))))))) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) 3))) |
(/.f64 (*.f64 (-.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) 3) 3)) (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2)))))))) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (+.f64 (*.f64 (pow.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) 3) (pow.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) 3)) (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) 3))))) |
(/.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) 2)) 1) (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2))))) |
(/.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) 2)) (sqrt.f64 (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2)))))) (sqrt.f64 (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2)))))) |
(/.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) 2)) (*.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2))))) (cbrt.f64 (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2))))))) (cbrt.f64 (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2)))))) |
(/.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) 3)) 1) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2))))))) |
(/.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) 3)) (sqrt.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2)))))))) (sqrt.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2)))))))) |
(/.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) 3)) (*.f64 (cbrt.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2))))))) (cbrt.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2))))))))) (cbrt.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2)))))))) |
(pow.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)) 1) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))) 3) |
(pow.f64 (pow.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)) 2)) |
(log.f64 (exp.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))))) |
(cbrt.f64 (pow.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)) 3)) |
(expm1.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2)))))) |
(exp.f64 (log.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))) |
| Outputs |
|---|
(*.f64 1/2 y) |
(+.f64 (*.f64 1/2 y) (*.f64 (-.f64 1 y) x)) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 1/2 y) (*.f64 (-.f64 1 y) x)) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 1/2 y) (*.f64 (-.f64 1 y) x)) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(*.f64 (-.f64 1 y) x) |
(-.f64 x (*.f64 y x)) |
(+.f64 (*.f64 1/2 y) (*.f64 (-.f64 1 y) x)) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 1/2 y) (*.f64 (-.f64 1 y) x)) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 1/2 y) (*.f64 (-.f64 1 y) x)) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(*.f64 (+.f64 1 (*.f64 -1 y)) x) |
(-.f64 x (*.f64 y x)) |
(+.f64 (*.f64 1/2 y) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 1/2 y) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 1/2 y) (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
x |
(+.f64 (*.f64 y (-.f64 1/2 x)) x) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 y (-.f64 1/2 x)) x) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 y (-.f64 1/2 x)) x) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(*.f64 y (-.f64 1/2 x)) |
(+.f64 (*.f64 y (-.f64 1/2 x)) x) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 y (-.f64 1/2 x)) x) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 y (-.f64 1/2 x)) x) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(*.f64 -1 (*.f64 y (-.f64 x 1/2))) |
(*.f64 y (-.f64 1/2 x)) |
(+.f64 (*.f64 -1 (*.f64 y (-.f64 x 1/2))) x) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 -1 (*.f64 y (-.f64 x 1/2))) x) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 -1 (*.f64 y (-.f64 x 1/2))) x) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(fma.f64 y -1/2 918938533204673/1000000000000000) |
(+.f64 (*.f64 (-.f64 y 1) x) (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(+.f64 (*.f64 (-.f64 y 1) x) (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(+.f64 (*.f64 (-.f64 y 1) x) (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(*.f64 (-.f64 y 1) x) |
(*.f64 x (+.f64 y -1)) |
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 x (+.f64 y -1)) |
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(+.f64 (*.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)))) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 918938533204673/1000000000000000 x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (+.f64 x -1/2)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 y (+.f64 x -1/2)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
918938533204673/1000000000000000 |
(+.f64 x (*.f64 (+.f64 x -1/2) (neg.f64 y))) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 x (*.f64 (*.f64 (+.f64 x -1/2) (neg.f64 y)) 1)) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 x (+.f64 (*.f64 (+.f64 x -1/2) (neg.f64 y)) (fma.f64 (neg.f64 (+.f64 x -1/2)) y (*.f64 y (+.f64 x -1/2))))) |
(+.f64 x (fma.f64 (+.f64 x -1/2) (neg.f64 y) (fma.f64 (+.f64 (neg.f64 x) 1/2) y (*.f64 y (+.f64 x -1/2))))) |
(+.f64 (*.f64 0 (*.f64 y (+.f64 x -1/2))) (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 x (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (neg.f64 y)) 1) (fma.f64 (neg.f64 (+.f64 x -1/2)) y (*.f64 y (+.f64 x -1/2))))) |
(+.f64 x (fma.f64 (+.f64 x -1/2) (neg.f64 y) (fma.f64 (+.f64 (neg.f64 x) 1/2) y (*.f64 y (+.f64 x -1/2))))) |
(+.f64 (*.f64 0 (*.f64 y (+.f64 x -1/2))) (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 x (+.f64 (*.f64 (+.f64 x -1/2) (neg.f64 y)) (fma.f64 (neg.f64 y) (+.f64 x -1/2) (*.f64 y (+.f64 x -1/2))))) |
(+.f64 x (fma.f64 (+.f64 x -1/2) (neg.f64 y) (fma.f64 (+.f64 (neg.f64 x) 1/2) y (*.f64 y (+.f64 x -1/2))))) |
(+.f64 (*.f64 0 (*.f64 y (+.f64 x -1/2))) (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 x (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (neg.f64 y)) 1) (fma.f64 (neg.f64 y) (+.f64 x -1/2) (*.f64 y (+.f64 x -1/2))))) |
(+.f64 x (fma.f64 (+.f64 x -1/2) (neg.f64 y) (fma.f64 (+.f64 (neg.f64 x) 1/2) y (*.f64 y (+.f64 x -1/2))))) |
(+.f64 (*.f64 0 (*.f64 y (+.f64 x -1/2))) (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 x (+.f64 (*.f64 (+.f64 x -1/2) (neg.f64 y)) (fma.f64 (*.f64 (+.f64 x -1/2) (neg.f64 y)) 1 (*.f64 y (+.f64 x -1/2))))) |
(+.f64 x (fma.f64 (+.f64 x -1/2) (neg.f64 y) (fma.f64 (+.f64 (neg.f64 x) 1/2) y (*.f64 y (+.f64 x -1/2))))) |
(+.f64 (*.f64 0 (*.f64 y (+.f64 x -1/2))) (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 x (+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (neg.f64 y)) 1) (fma.f64 (*.f64 (+.f64 x -1/2) (neg.f64 y)) 1 (*.f64 y (+.f64 x -1/2))))) |
(+.f64 x (fma.f64 (+.f64 x -1/2) (neg.f64 y) (fma.f64 (+.f64 (neg.f64 x) 1/2) y (*.f64 y (+.f64 x -1/2))))) |
(+.f64 (*.f64 0 (*.f64 y (+.f64 x -1/2))) (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 x (+.f64 (*.f64 (+.f64 x -1/2) (neg.f64 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2)))) (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (*.f64 y (+.f64 x -1/2))))) |
(+.f64 x (fma.f64 (+.f64 x -1/2) (neg.f64 y) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2)))) (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (*.f64 y (+.f64 x -1/2))))) |
(+.f64 x (+.f64 (*.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (neg.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))))) (*.f64 0 (*.f64 y (+.f64 x -1/2))))) |
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(fma.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2)))) (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (*.f64 y (+.f64 x -1/2))) (fma.f64 y (-.f64 1/2 x) x)) |
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(+.f64 x (+.f64 (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2)) (*.f64 0 (*.f64 y (+.f64 x -1/2)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2)))) (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (*.f64 y (+.f64 x -1/2))))) |
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(+.f64 (+.f64 x (fma.f64 (+.f64 x -1/2) (neg.f64 y) (fma.f64 (+.f64 (neg.f64 x) 1/2) y (*.f64 y (+.f64 x -1/2))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2) (*.f64 y (+.f64 x -1/2)))) |
(+.f64 x (+.f64 (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2)) (*.f64 0 (*.f64 y (+.f64 x -1/2)))) (*.f64 0 (*.f64 y (+.f64 x -1/2))))) |
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(fma.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2) (*.f64 y (+.f64 x -1/2))) (fma.f64 y (-.f64 1/2 x) x)) |
(+.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) (*.f64 1 (fma.f64 (neg.f64 (+.f64 x -1/2)) y (*.f64 y (+.f64 x -1/2))))) |
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(+.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) (*.f64 1 (fma.f64 (neg.f64 y) (+.f64 x -1/2) (*.f64 y (+.f64 x -1/2))))) |
(+.f64 x (fma.f64 (+.f64 x -1/2) (neg.f64 y) (fma.f64 (+.f64 (neg.f64 x) 1/2) y (*.f64 y (+.f64 x -1/2))))) |
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(+.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) (*.f64 1 (fma.f64 (*.f64 (+.f64 x -1/2) (neg.f64 y)) 1 (*.f64 y (+.f64 x -1/2))))) |
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(+.f64 x (fma.f64 (+.f64 x -1/2) (neg.f64 y) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2) (*.f64 y (+.f64 x -1/2))))) |
(+.f64 x (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2)) (*.f64 0 (*.f64 y (+.f64 x -1/2))))) |
(+.f64 (*.f64 (+.f64 x -1/2) (neg.f64 y)) x) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 (+.f64 x -1/2) (neg.f64 y)) (+.f64 x (fma.f64 (neg.f64 (+.f64 x -1/2)) y (*.f64 y (+.f64 x -1/2))))) |
(+.f64 x (fma.f64 (+.f64 x -1/2) (neg.f64 y) (fma.f64 (+.f64 (neg.f64 x) 1/2) y (*.f64 y (+.f64 x -1/2))))) |
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(+.f64 (*.f64 (+.f64 x -1/2) (neg.f64 y)) (+.f64 x (fma.f64 (neg.f64 y) (+.f64 x -1/2) (*.f64 y (+.f64 x -1/2))))) |
(+.f64 x (fma.f64 (+.f64 x -1/2) (neg.f64 y) (fma.f64 (+.f64 (neg.f64 x) 1/2) y (*.f64 y (+.f64 x -1/2))))) |
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(+.f64 x (fma.f64 (+.f64 x -1/2) (neg.f64 y) (fma.f64 (+.f64 (neg.f64 x) 1/2) y (*.f64 y (+.f64 x -1/2))))) |
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(+.f64 x (fma.f64 (+.f64 x -1/2) (neg.f64 y) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2) (*.f64 y (+.f64 x -1/2))))) |
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(+.f64 (*.f64 (neg.f64 y) x) (+.f64 (*.f64 (neg.f64 y) -1/2) x)) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 (neg.f64 y) -1/2) (+.f64 (*.f64 (neg.f64 y) x) x)) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 x (neg.f64 y)) (+.f64 (*.f64 -1/2 (neg.f64 y)) x)) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 -1/2 (neg.f64 y)) (+.f64 (*.f64 x (neg.f64 y)) x)) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (*.f64 (*.f64 (+.f64 x -1/2) (neg.f64 y)) 1) x) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (neg.f64 (*.f64 x y)) (+.f64 (neg.f64 (*.f64 y -1/2)) x)) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (fma.f64 (neg.f64 (+.f64 x -1/2)) y (*.f64 y (+.f64 x -1/2))) (-.f64 x (*.f64 y (+.f64 x -1/2)))) |
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(+.f64 (fma.f64 (neg.f64 y) (+.f64 x -1/2) (*.f64 y (+.f64 x -1/2))) (-.f64 x (*.f64 y (+.f64 x -1/2)))) |
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(+.f64 (fma.f64 (*.f64 (+.f64 x -1/2) (neg.f64 y)) 1 (*.f64 y (+.f64 x -1/2))) (-.f64 x (*.f64 y (+.f64 x -1/2)))) |
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(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2)))) (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (*.f64 y (+.f64 x -1/2))) (-.f64 x (*.f64 y (+.f64 x -1/2)))) |
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(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2) (*.f64 y (+.f64 x -1/2))) (-.f64 x (*.f64 y (+.f64 x -1/2)))) |
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(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
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(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
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(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
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(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
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(fma.f64 y (-.f64 1/2 x) x) |
(+.f64 (-.f64 x (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))) 1) |
(+.f64 1 (-.f64 x (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))))) |
(-.f64 x (expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))) |
(*.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) 1) |
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(fma.f64 y (-.f64 1/2 x) x) |
(*.f64 1 (-.f64 x (*.f64 y (+.f64 x -1/2)))) |
(fma.f64 1/2 y (-.f64 x (*.f64 y x))) |
(fma.f64 y (-.f64 1/2 x) x) |
(*.f64 (sqrt.f64 (-.f64 x (*.f64 y (+.f64 x -1/2)))) (sqrt.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))))) |
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(*.f64 (cbrt.f64 (-.f64 x (*.f64 y (+.f64 x -1/2)))) (cbrt.f64 (pow.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) 2))) |
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(/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (neg.f64 y) x) 6)) (*.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (neg.f64 y) x) (+.f64 918938533204673/1000000000000000 (fma.f64 (+.f64 x -1/2) (neg.f64 y) x)))) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (neg.f64 y) x) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) |
(/.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 6)) (fma.f64 (fma.f64 y (-.f64 1/2 x) x) (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 844448027808355901771309036929/1000000000000000000000000000000)) (+.f64 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)) |
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(/.f64 (-.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (neg.f64 y) x) 3) 3)) (*.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (neg.f64 y) x) (+.f64 918938533204673/1000000000000000 (fma.f64 (+.f64 x -1/2) (neg.f64 y) x)))) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (neg.f64 y) x) 6) (*.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (neg.f64 y) x) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))))) |
(/.f64 (-.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3) 3)) (*.f64 (fma.f64 (fma.f64 y (-.f64 1/2 x) x) (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 844448027808355901771309036929/1000000000000000000000000000000) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (fma.f64 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 6))))) |
(/.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) 2)) 1) (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2))))) |
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (neg.f64 y) x) 2)) (+.f64 918938533204673/1000000000000000 (fma.f64 (+.f64 x -1/2) (neg.f64 y) x))) |
(/.f64 (+.f64 -844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 2)) (-.f64 -918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) |
(/.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) 2)) (sqrt.f64 (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2)))))) (sqrt.f64 (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2)))))) |
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (neg.f64 y) x) 2)) (+.f64 918938533204673/1000000000000000 (fma.f64 (+.f64 x -1/2) (neg.f64 y) x))) |
(/.f64 (+.f64 -844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 2)) (-.f64 -918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) |
(/.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) 2)) (*.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2))))) (cbrt.f64 (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2))))))) (cbrt.f64 (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2)))))) |
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (neg.f64 y) x) 2)) (+.f64 918938533204673/1000000000000000 (fma.f64 (+.f64 x -1/2) (neg.f64 y) x))) |
(/.f64 (+.f64 -844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 2)) (-.f64 -918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) |
(/.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) 3)) 1) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2))))))) |
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (neg.f64 y) x) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (neg.f64 y) x) (+.f64 918938533204673/1000000000000000 (fma.f64 (+.f64 x -1/2) (neg.f64 y) x))))) |
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3)) (fma.f64 (fma.f64 y (-.f64 1/2 x) x) (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 844448027808355901771309036929/1000000000000000000000000000000)) |
(/.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) 3)) (sqrt.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2)))))))) (sqrt.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2)))))))) |
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (neg.f64 y) x) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (neg.f64 y) x) (+.f64 918938533204673/1000000000000000 (fma.f64 (+.f64 x -1/2) (neg.f64 y) x))))) |
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3)) (fma.f64 (fma.f64 y (-.f64 1/2 x) x) (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 844448027808355901771309036929/1000000000000000000000000000000)) |
(/.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) 3)) (*.f64 (cbrt.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2))))))) (cbrt.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2))))))))) (cbrt.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 x (*.f64 y (+.f64 x -1/2))) (+.f64 918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2)))))))) |
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (neg.f64 y) x) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 (+.f64 x -1/2) (neg.f64 y) x) (+.f64 918938533204673/1000000000000000 (fma.f64 (+.f64 x -1/2) (neg.f64 y) x))))) |
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3)) (fma.f64 (fma.f64 y (-.f64 1/2 x) x) (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 844448027808355901771309036929/1000000000000000000000000000000)) |
(pow.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)) 1) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(pow.f64 (sqrt.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))) 2) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(pow.f64 (cbrt.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))) 3) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(pow.f64 (pow.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)) 3) 1/3) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(sqrt.f64 (pow.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)) 2)) |
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 2)) |
(fabs.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) |
(log.f64 (exp.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))))) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(cbrt.f64 (pow.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)) 3)) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(expm1.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x (*.f64 y (+.f64 x -1/2)))))) |
(expm1.f64 (log.f64 (+.f64 (-.f64 1918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))))) |
(expm1.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))) |
(exp.f64 (log.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))) 1)) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(log1p.f64 (expm1.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))) |
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000)) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
Compiled 7 to 5 computations (28.6% saved)
Compiled 7 to 3 computations (57.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
Compiled 13 to 10 computations (23.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
| 0.0ms | y | @ | inf | (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
| 0.0ms | y | @ | -inf | (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
| 1× | batch-egg-rewrite |
| 1576× | add-sqr-sqrt |
| 1542× | *-un-lft-identity |
| 1458× | add-cube-cbrt |
| 1448× | add-cbrt-cube |
| 1434× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 157 | 13 |
| 2 | 1908 | 13 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (*.f64 (*.f64 y -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/2) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) (sqrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) (pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) 2) (cbrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y y) 1/4)) (/.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) 1/8)) (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 918938533204673/2000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y y) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 918938533204673/2000000000000000 y))) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y y) 1/4)) (+.f64 918938533204673/1000000000000000 (*.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) 1/8)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 918938533204673/2000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2))) (-.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y -1/2) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y y) 1/4))) (neg.f64 (+.f64 918938533204673/1000000000000000 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) 1/8))) (neg.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 918938533204673/2000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))))))) |
| 1× | egg-herbie |
| 1292× | associate-*r* |
| 1198× | distribute-lft-in |
| 1116× | distribute-rgt-in |
| 998× | associate-*l* |
| 846× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 767 |
| 1 | 227 | 647 |
| 2 | 889 | 597 |
| 3 | 4192 | 597 |
| 1× | node limit |
| Inputs |
|---|
918938533204673/1000000000000000 |
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) |
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) |
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) |
(*.f64 -1/2 y) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) |
(*.f64 -1/2 y) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) |
(+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) |
(+.f64 918938533204673/1000000000000000 (*.f64 (*.f64 y -1/2) 1)) |
(+.f64 (*.f64 y -1/2) 918938533204673/1000000000000000) |
(*.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) 1) |
(*.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) |
(*.f64 (sqrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) (sqrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))) |
(*.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) (pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) 2) (cbrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))) |
(*.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y y) 1/4)) (/.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 1/2 y)))) |
(*.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) 1/8)) (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 918938533204673/2000000000000000 y))))) |
(/.f64 1 (/.f64 (+.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y y) 1/4)))) |
(/.f64 1 (/.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 918938533204673/2000000000000000 y))) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) 1/8)))) |
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y y) 1/4)) (+.f64 918938533204673/1000000000000000 (*.f64 1/2 y))) |
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) 1/8)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 918938533204673/2000000000000000 y)))) |
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2))) (-.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) |
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y -1/2) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 918938533204673/1000000000000000 (*.f64 y -1/2))))) |
(/.f64 (neg.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y y) 1/4))) (neg.f64 (+.f64 918938533204673/1000000000000000 (*.f64 1/2 y)))) |
(/.f64 (neg.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) 1/8))) (neg.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 918938533204673/2000000000000000 y))))) |
(pow.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) 1) |
(pow.f64 (sqrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) 2) |
(pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) 3) |
(pow.f64 (pow.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) 2)) |
(log.f64 (exp.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))) |
(cbrt.f64 (pow.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))) |
(exp.f64 (log.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))) |
| Outputs |
|---|
918938533204673/1000000000000000 |
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(*.f64 -1/2 y) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(*.f64 -1/2 y) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(+.f64 918938533204673/1000000000000000 (*.f64 (*.f64 y -1/2) 1)) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(+.f64 (*.f64 y -1/2) 918938533204673/1000000000000000) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(*.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) 1) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(*.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(*.f64 (sqrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) (sqrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(*.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) (pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) 2)) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) 2) (cbrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(*.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y y) 1/4)) (/.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 1/2 y)))) |
(*.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y (*.f64 y 1/4))) (/.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 y 1/2)))) |
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y (*.f64 y 1/4))) (fma.f64 y 1/2 918938533204673/1000000000000000)) |
(/.f64 (fma.f64 y (*.f64 y -1/4) 844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y 1/2 918938533204673/1000000000000000)) |
(*.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) 1/8)) (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 918938533204673/2000000000000000 y))))) |
(/.f64 (*.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) 1/8)) 1) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 (*.f64 y y) 1/4 (*.f64 y 918938533204673/2000000000000000)))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 (*.f64 -1/2 y) (fma.f64 -1/2 y -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) |
(/.f64 1 (/.f64 (+.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y y) 1/4)))) |
(*.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y (*.f64 y 1/4))) (/.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 y 1/2)))) |
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y (*.f64 y 1/4))) (fma.f64 y 1/2 918938533204673/1000000000000000)) |
(/.f64 (fma.f64 y (*.f64 y -1/4) 844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y 1/2 918938533204673/1000000000000000)) |
(/.f64 1 (/.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 918938533204673/2000000000000000 y))) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) 1/8)))) |
(/.f64 (*.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) 1/8)) 1) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 (*.f64 y y) 1/4 (*.f64 y 918938533204673/2000000000000000)))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 (*.f64 -1/2 y) (fma.f64 -1/2 y -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) |
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y y) 1/4)) (+.f64 918938533204673/1000000000000000 (*.f64 1/2 y))) |
(*.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y (*.f64 y 1/4))) (/.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 y 1/2)))) |
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y (*.f64 y 1/4))) (fma.f64 y 1/2 918938533204673/1000000000000000)) |
(/.f64 (fma.f64 y (*.f64 y -1/4) 844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y 1/2 918938533204673/1000000000000000)) |
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) 1/8)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 918938533204673/2000000000000000 y)))) |
(/.f64 (*.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) 1/8)) 1) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 (*.f64 y y) 1/4 (*.f64 y 918938533204673/2000000000000000)))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 (*.f64 -1/2 y) (fma.f64 -1/2 y -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) |
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2))) (-.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) |
(*.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y (*.f64 y 1/4))) (/.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 y 1/2)))) |
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y (*.f64 y 1/4))) (fma.f64 y 1/2 918938533204673/1000000000000000)) |
(/.f64 (fma.f64 y (*.f64 y -1/4) 844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y 1/2 918938533204673/1000000000000000)) |
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 y -1/2) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 (*.f64 (*.f64 y -1/2) (*.f64 y -1/2)) (*.f64 918938533204673/1000000000000000 (*.f64 y -1/2))))) |
(/.f64 (*.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) 1/8)) 1) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 (*.f64 y y) 1/4 (*.f64 y 918938533204673/2000000000000000)))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 (*.f64 -1/2 y) (fma.f64 -1/2 y -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) |
(/.f64 (neg.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 y y) 1/4))) (neg.f64 (+.f64 918938533204673/1000000000000000 (*.f64 1/2 y)))) |
(*.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y (*.f64 y 1/4))) (/.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 y 1/2)))) |
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 y (*.f64 y 1/4))) (fma.f64 y 1/2 918938533204673/1000000000000000)) |
(/.f64 (fma.f64 y (*.f64 y -1/4) 844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y 1/2 918938533204673/1000000000000000)) |
(/.f64 (neg.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) 1/8))) (neg.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 918938533204673/2000000000000000 y))))) |
(/.f64 (*.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (*.f64 (pow.f64 y 3) 1/8)) 1) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (fma.f64 (*.f64 y y) 1/4 (*.f64 y 918938533204673/2000000000000000)))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 (*.f64 -1/2 y) (fma.f64 -1/2 y -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 y (fma.f64 y 1/4 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) |
(pow.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) 1) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(pow.f64 (sqrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) 2) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) 3) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(pow.f64 (pow.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) 3) 1/3) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(sqrt.f64 (pow.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) 2)) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(log.f64 (exp.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(cbrt.f64 (pow.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) 3)) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(expm1.f64 (log1p.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(exp.f64 (log.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(exp.f64 (*.f64 (log.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) 1)) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
(log1p.f64 (expm1.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)))) |
(fma.f64 -1/2 y 918938533204673/1000000000000000) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)) |
Compiled 18 to 9 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)) |
| 0.0ms | x | @ | inf | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)) |
| 0.0ms | x | @ | -inf | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)) |
| 0.0ms | y | @ | 0 | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)) |
| 0.0ms | y | @ | -inf | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)) |
| 1× | batch-egg-rewrite |
| 872× | *-commutative |
| 850× | associate-*r/ |
| 750× | associate-*l/ |
| 694× | distribute-lft-in |
| 680× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 183 | 15 |
| 2 | 2555 | 15 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1658× | associate-/r* |
| 1318× | associate-*r/ |
| 1022× | associate-*l/ |
| 628× | +-commutative |
| 518× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 296 | 5797 |
| 1 | 860 | 5393 |
| 2 | 3791 | 5393 |
| 1× | node limit |
| Inputs |
|---|
918938533204673/1000000000000000 |
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) |
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) |
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) |
(*.f64 (-.f64 y 1) x) |
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(-.f64 918938533204673/1000000000000000 x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(*.f64 y x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(*.f64 y x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(-.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 1 y))) |
(-.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 x (neg.f64 y))) |
(-.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)) (fma.f64 (neg.f64 y) x (*.f64 x y))) |
(-.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)) (fma.f64 (neg.f64 x) y (*.f64 x y))) |
(-.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))) |
(-.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))) |
(-.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) (-.f64 1 (-.f64 918938533204673/1000000000000000 x))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)))) 1) |
(-.f64 (exp.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 x))) (-.f64 1 (*.f64 x y))) |
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(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (*.f64 x y)))) (-.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (*.f64 x y)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y))))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y))))))) |
(pow.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)) 1) |
(pow.f64 (sqrt.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x))) 3) |
(pow.f64 (pow.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)) 3) 1/3) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 x y) 2)) (neg.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y)))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 x y) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y)))))))) |
(sqrt.f64 (pow.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)) 2)) |
(log.f64 (exp.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x))))) |
(cbrt.f64 (pow.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)))) |
(exp.f64 (log.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)))) |
(log1p.f64 (expm1.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)))) |
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 y x (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 1 (-.f64 918938533204673/1000000000000000 x) (*.f64 x y)) |
(fma.f64 1 (*.f64 x y) (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (*.f64 x y)) |
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) (*.f64 x y)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (-.f64 918938533204673/1000000000000000 x)) |
| Outputs |
|---|
918938533204673/1000000000000000 |
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(*.f64 (-.f64 y 1) x) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x)) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 y)) x))) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(*.f64 y x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(*.f64 y x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(-.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 1 y))) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(-.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 x (neg.f64 y))) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(-.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)) (fma.f64 (neg.f64 y) x (*.f64 x y))) |
(-.f64 (fma.f64 y x (-.f64 918938533204673/1000000000000000 x)) (fma.f64 (neg.f64 y) x (*.f64 y x))) |
(+.f64 (-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) (*.f64 y (+.f64 (neg.f64 x) x))) |
(+.f64 (-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) (*.f64 y (+.f64 x (neg.f64 x)))) |
(-.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)) (fma.f64 (neg.f64 x) y (*.f64 x y))) |
(-.f64 (fma.f64 y x (-.f64 918938533204673/1000000000000000 x)) (fma.f64 (neg.f64 y) x (*.f64 y x))) |
(+.f64 (-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) (*.f64 y (+.f64 (neg.f64 x) x))) |
(+.f64 (-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) (*.f64 y (+.f64 x (neg.f64 x)))) |
(-.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))) |
(-.f64 (fma.f64 y x (-.f64 918938533204673/1000000000000000 x)) (fma.f64 (neg.f64 y) x (*.f64 y x))) |
(+.f64 (-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) (*.f64 y (+.f64 (neg.f64 x) x))) |
(+.f64 (-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) (*.f64 y (+.f64 x (neg.f64 x)))) |
(-.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))) |
(-.f64 (fma.f64 y x (-.f64 918938533204673/1000000000000000 x)) (fma.f64 (neg.f64 y) x (*.f64 y x))) |
(+.f64 (-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) (*.f64 y (+.f64 (neg.f64 x) x))) |
(+.f64 (-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) (*.f64 y (+.f64 x (neg.f64 x)))) |
(-.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y))) |
(-.f64 (fma.f64 y x (-.f64 918938533204673/1000000000000000 x)) (fma.f64 (neg.f64 y) x (*.f64 y x))) |
(+.f64 (-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) (*.f64 y (+.f64 (neg.f64 x) x))) |
(+.f64 (-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) (*.f64 y (+.f64 x (neg.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) (-.f64 1 (-.f64 918938533204673/1000000000000000 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) (+.f64 81061466795327/1000000000000000 x)) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (expm1.f64 (log1p.f64 (*.f64 y x)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)))) 1) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(-.f64 (exp.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 x))) (-.f64 1 (*.f64 x y))) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) x) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 918938533204673/1000000000000000 x)) (-.f64 (/.f64 x (/.f64 (+.f64 918938533204673/1000000000000000 x) x)) (*.f64 x y))) |
(+.f64 (-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 918938533204673/1000000000000000 x)) (*.f64 (/.f64 x (+.f64 918938533204673/1000000000000000 x)) x)) (*.f64 y x)) |
(-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 918938533204673/1000000000000000 x)) (*.f64 x (-.f64 (/.f64 x (+.f64 918938533204673/1000000000000000 x)) y))) |
(-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))) (*.f64 x y))) |
(+.f64 (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))) (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))) (*.f64 y x)) |
(-.f64 (fma.f64 y x (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) |
(-.f64 (/.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y)))) (/.f64 (pow.f64 (*.f64 x y) 2) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y))))) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(-.f64 (+.f64 (-.f64 918938533204673/1000000000000000 x) (exp.f64 (log1p.f64 (*.f64 x y)))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) (+.f64 81061466795327/1000000000000000 x)) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (expm1.f64 (log1p.f64 (*.f64 y x)))) |
(-.f64 (+.f64 (*.f64 x y) (exp.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 x)))) 1) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(-.f64 (+.f64 (*.f64 x y) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 918938533204673/1000000000000000 x))) (/.f64 x (/.f64 (+.f64 918938533204673/1000000000000000 x) x))) |
(+.f64 (-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 918938533204673/1000000000000000 x)) (*.f64 (/.f64 x (+.f64 918938533204673/1000000000000000 x)) x)) (*.f64 y x)) |
(-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 918938533204673/1000000000000000 x)) (*.f64 x (-.f64 (/.f64 x (+.f64 918938533204673/1000000000000000 x)) y))) |
(-.f64 (+.f64 (*.f64 x y) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))) (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))) |
(+.f64 (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))) (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))) (*.f64 y x)) |
(-.f64 (fma.f64 y x (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))) |
(-.f64 (+.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x y)) 0) x) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(*.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)) 1) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(*.f64 1 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x))) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(*.f64 (sqrt.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)))) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(*.f64 (cbrt.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x))) (pow.f64 (cbrt.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x))) 2)) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x))) 2) (cbrt.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)))) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(*.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y))))) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(*.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y x) 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y)))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 (-.f64 918938533204673/1000000000000000 x) (fma.f64 x (-.f64 -1 y) 918938533204673/1000000000000000) (pow.f64 (*.f64 y x) 2))) |
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(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
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(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 x y) 3))) (pow.f64 (cbrt.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y))))))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (-.f64 918938533204673/1000000000000000 x))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y)))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y x) 3))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)) 2) (cbrt.f64 (fma.f64 (-.f64 918938533204673/1000000000000000 x) (fma.f64 x (-.f64 -1 y) 918938533204673/1000000000000000) (pow.f64 (*.f64 y x) 2)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y x) 3)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 x y) 2))) (pow.f64 (cbrt.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x))) 2)) (cbrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y))))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 y x (-.f64 918938533204673/1000000000000000 x))) 2) (/.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y)))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 y x) 2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)) 2) (cbrt.f64 (fma.f64 x (-.f64 -1 y) 918938533204673/1000000000000000))) (cbrt.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 y x) 2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (*.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 (*.f64 x y) 2))) (/.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y))))) (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 x y) 2))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 4) (pow.f64 (*.f64 y x) 4)) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y)))) (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 y x) 2))) |
(/.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 4) (pow.f64 (*.f64 y x) 4)) (*.f64 (fma.f64 x (-.f64 -1 y) 918938533204673/1000000000000000) (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 y x) 2)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 y x) 2)) (-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)) (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 y x) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) 3) (pow.f64 (pow.f64 (*.f64 x y) 2) 3)) (/.f64 1 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y))))) (+.f64 (*.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (*.f64 (pow.f64 (*.f64 x y) 2) (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 x y) 2))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) 3) (pow.f64 (pow.f64 (*.f64 y x) 2) 3)) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y)))) (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 4) (+.f64 (*.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (pow.f64 (*.f64 y x) 4)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 6) (pow.f64 (*.f64 y x) 6)) (*.f64 (fma.f64 x (-.f64 -1 y) 918938533204673/1000000000000000) (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 4) (fma.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 y x) 4))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 6) (pow.f64 (*.f64 y x) 6)) (fma.f64 x (-.f64 -1 y) 918938533204673/1000000000000000)) (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 4) (fma.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 y x) 4)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (*.f64 x y) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y))))))) (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 x y) 3))) |
(/.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 6) (pow.f64 (*.f64 y x) 6)) (*.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y))))) (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y x) 3)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 6) (pow.f64 (*.f64 y x) 6)) (*.f64 (fma.f64 (-.f64 918938533204673/1000000000000000 x) (fma.f64 x (-.f64 -1 y) 918938533204673/1000000000000000) (pow.f64 (*.f64 y x) 2)) (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y x) 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) 3) (pow.f64 (pow.f64 (*.f64 x y) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y))))))) (+.f64 (*.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (*.f64 (pow.f64 (*.f64 x y) 3) (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) 3) (pow.f64 (pow.f64 (*.f64 y x) 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y))))) (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 6) (*.f64 (pow.f64 (*.f64 y x) 3) (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) 3) (pow.f64 (pow.f64 (*.f64 y x) 3) 3)) (*.f64 (fma.f64 (-.f64 918938533204673/1000000000000000 x) (fma.f64 x (-.f64 -1 y) 918938533204673/1000000000000000) (pow.f64 (*.f64 y x) 2)) (fma.f64 (pow.f64 (*.f64 y x) 3) (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 6)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 x y) 2)) 1) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y)))) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 x y) 2)) (sqrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y))))) (sqrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y))))) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y)))) (cbrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y)))))) (cbrt.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y))))) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (*.f64 x y)))) (-.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (*.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 y x) 2)) (*.f64 (-.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (*.f64 y x))) (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 y x) 2)) (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))) (-.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (*.f64 y x)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y x) 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y)))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 (-.f64 918938533204673/1000000000000000 x) (fma.f64 x (-.f64 -1 y) 918938533204673/1000000000000000) (pow.f64 (*.f64 y x) 2))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 x y) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y x) 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y)))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 (-.f64 918938533204673/1000000000000000 x) (fma.f64 x (-.f64 -1 y) 918938533204673/1000000000000000) (pow.f64 (*.f64 y x) 2))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 x y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y x) 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y)))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 (-.f64 918938533204673/1000000000000000 x) (fma.f64 x (-.f64 -1 y) 918938533204673/1000000000000000) (pow.f64 (*.f64 y x) 2))) |
(pow.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)) 1) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(pow.f64 (sqrt.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x))) 2) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(pow.f64 (cbrt.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x))) 3) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(pow.f64 (pow.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)) 3) 1/3) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (pow.f64 (*.f64 x y) 2)) (neg.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y)))))) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 x y) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y)))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y x) 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (-.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 -1 y)))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 (-.f64 918938533204673/1000000000000000 x) (fma.f64 x (-.f64 -1 y) 918938533204673/1000000000000000) (pow.f64 (*.f64 y x) 2))) |
(sqrt.f64 (pow.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 y x (-.f64 918938533204673/1000000000000000 x)) 2)) |
(fabs.f64 (-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)) |
(log.f64 (exp.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)))) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x))))) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(cbrt.f64 (pow.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)) 3)) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(expm1.f64 (log1p.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)))) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(exp.f64 (log.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)))) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(log1p.f64 (expm1.f64 (fma.f64 x y (-.f64 918938533204673/1000000000000000 x)))) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(fma.f64 x y (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(fma.f64 y x (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(fma.f64 1 (-.f64 918938533204673/1000000000000000 x) (*.f64 x y)) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(fma.f64 1 (*.f64 x y) (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(fma.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (*.f64 x y)) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) (*.f64 x y)) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (-.f64 918938533204673/1000000000000000 x)) |
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000) |
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) |
Compiled 18104 to 12402 computations (31.5% saved)
13 alts after pruning (3 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 664 | 2 | 666 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 9 | 10 |
| Total | 665 | 13 | 678 |
| Status | Error | Program |
|---|---|---|
| 30.7b | (-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 1/2 y)) | |
| 10.2b | (-.f64 (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) x) | |
| ✓ | 32.5b | (-.f64 (*.f64 y x) x) |
| ✓ | 30.4b | (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
| ✓ | 24.8b | (-.f64 918938533204673/1000000000000000 x) |
| ✓ | 0.0b | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))) |
| ✓ | 15.1b | (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)) |
| ✓ | 32.5b | (*.f64 (-.f64 y 1) x) |
| ✓ | 38.0b | (*.f64 y (-.f64 x 1/2)) |
| ✓ | 52.8b | (*.f64 y x) |
| ✓ | 47.9b | (*.f64 y -1/2) |
| ✓ | 42.2b | (neg.f64 x) |
| 45.0b | 918938533204673/1000000000000000 |
Compiled 88 to 66 computations (25% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 y -1/2) |
(*.f64 y x) |
(-.f64 918938533204673/1000000000000000 x) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 (-.f64 y 1) x) |
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
(-.f64 (*.f64 y x) x) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y)) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) x) |
(-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 1/2 y)) |
(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))) |
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
(-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 844448027808355901771309036929/1000000000000000000000000000000) (-.f64 x (*.f64 y (+.f64 x -1/2)))) |
(-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) (-.f64 x (*.f64 y (+.f64 x -1/2)))) |
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) (*.f64 y (+.f64 x -1/2)))) |
| Outputs |
|---|
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
4 calls:
| 40.0ms | x |
| 10.0ms | (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) |
| 9.0ms | y |
| 8.0ms | (+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| 0.0b | 1 | (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) |
Compiled 183 to 125 computations (31.7% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 y -1/2) |
(*.f64 y x) |
(-.f64 918938533204673/1000000000000000 x) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 (-.f64 y 1) x) |
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
(-.f64 (*.f64 y x) x) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y)) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) x) |
(-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 1/2 y)) |
(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))) |
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
(-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 844448027808355901771309036929/1000000000000000000000000000000) (-.f64 x (*.f64 y (+.f64 x -1/2)))) |
(-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000)))) (-.f64 x (*.f64 y (+.f64 x -1/2)))) |
| Outputs |
|---|
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))) |
4 calls:
| 41.0ms | (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) |
| 10.0ms | y |
| 10.0ms | x |
| 7.0ms | (+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| 0.0b | 1 | (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) |
Compiled 148 to 100 computations (32.4% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 y -1/2) |
(*.f64 y x) |
(-.f64 918938533204673/1000000000000000 x) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 (-.f64 y 1) x) |
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
(-.f64 (*.f64 y x) x) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y)) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)) |
(-.f64 (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) x) |
(-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 844448027808355901771309036929/1000000000000000000000000000000) (*.f64 1/2 y)) |
(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000) |
| Outputs |
|---|
(*.f64 (-.f64 y 1) x) |
(-.f64 (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) x) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)) |
2 calls:
| 22.0ms | x |
| 21.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 3 | x |
| 0.6b | 3 | y |
Compiled 76 to 48 computations (36.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.0024936389562084e-7 | 2.1777900939638376e-6 |
| 13.0ms | -1.4777054114510547e+44 | -6.4423961035057695e+41 |
| 22.0ms | 224× | body | 256 | valid |
| 1.0ms | 7× | body | 256 | infinite |
Compiled 284 to 217 computations (23.6% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 y -1/2) |
(*.f64 y x) |
(-.f64 918938533204673/1000000000000000 x) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 (-.f64 y 1) x) |
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
(-.f64 (*.f64 y x) x) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y)) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)) |
| Outputs |
|---|
(*.f64 (-.f64 y 1) x) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y)) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)) |
2 calls:
| 77.0ms | x |
| 20.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 3 | x |
| 0.6b | 3 | y |
Compiled 54 to 32 computations (40.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.0024936389562084e-7 | 2.1777900939638376e-6 |
| 13.0ms | -1.4777054114510547e+44 | -6.4423961035057695e+41 |
| 22.0ms | 224× | body | 256 | valid |
| 0.0ms | 3× | body | 256 | infinite |
Compiled 284 to 217 computations (23.6% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 y -1/2) |
(*.f64 y x) |
(-.f64 918938533204673/1000000000000000 x) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 (-.f64 y 1) x) |
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
(-.f64 (*.f64 y x) x) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y)) |
| Outputs |
|---|
(*.f64 (-.f64 y 1) x) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y)) |
(-.f64 (*.f64 y x) x) |
2 calls:
| 18.0ms | y |
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 3 | x |
| 0.6b | 3 | y |
Compiled 47 to 29 computations (38.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 2.1777900939638376e-6 | 1814893.03102155 |
| 25.0ms | -1.4777054114510547e+44 | -6.4423961035057695e+41 |
| 38.0ms | 272× | body | 256 | valid |
| 1.0ms | 7× | body | 256 | infinite |
Compiled 324 to 242 computations (25.3% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 y -1/2) |
(*.f64 y x) |
(-.f64 918938533204673/1000000000000000 x) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 (-.f64 y 1) x) |
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
(-.f64 (*.f64 y x) x) |
| Outputs |
|---|
(*.f64 (-.f64 y 1) x) |
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
(-.f64 (*.f64 y x) x) |
2 calls:
| 18.0ms | y |
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 3 | x |
| 1.1b | 3 | y |
Compiled 40 to 24 computations (40% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 2.1777900939638376e-6 | 1814893.03102155 |
| 17.0ms | -4106314.167251399 | -5.547927583132662e-7 |
| 29.0ms | 320× | body | 256 | valid |
Compiled 338 to 264 computations (21.9% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 y -1/2) |
(*.f64 y x) |
(-.f64 918938533204673/1000000000000000 x) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 (-.f64 y 1) x) |
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
| Outputs |
|---|
(*.f64 (-.f64 y 1) x) |
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) |
(*.f64 (-.f64 y 1) x) |
2 calls:
| 15.0ms | x |
| 15.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 3 | x |
| 1.1b | 3 | y |
Compiled 35 to 23 computations (34.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 63.0ms | 2.1777900939638376e-6 | 1814893.03102155 |
| 17.0ms | -4106314.167251399 | -5.547927583132662e-7 |
| 76.0ms | 320× | body | 256 | valid |
Compiled 338 to 274 computations (18.9% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 y -1/2) |
(*.f64 y x) |
(-.f64 918938533204673/1000000000000000 x) |
(*.f64 y (-.f64 x 1/2)) |
(*.f64 (-.f64 y 1) x) |
| Outputs |
|---|
(*.f64 y (-.f64 x 1/2)) |
(-.f64 918938533204673/1000000000000000 x) |
(*.f64 y (-.f64 x 1/2)) |
2 calls:
| 27.0ms | x |
| 14.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 11.4b | 6 | x |
| 1.1b | 3 | y |
Compiled 30 to 19 computations (36.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 0.0005130145208939136 | 1.4317540445688254e+20 |
| 18.0ms | -153.38770818026103 | -1.1943259140826346e-7 |
| 35.0ms | 320× | body | 256 | valid |
| 0.0ms | 1× | body | 256 | infinite |
Compiled 298 to 234 computations (21.5% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 y -1/2) |
(*.f64 y x) |
(-.f64 918938533204673/1000000000000000 x) |
| Outputs |
|---|
(*.f64 y -1/2) |
(-.f64 918938533204673/1000000000000000 x) |
(*.f64 y -1/2) |
2 calls:
| 44.0ms | x |
| 12.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 17.9b | 9 | x |
| 10.7b | 3 | y |
Compiled 20 to 13 computations (35% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 0.0005130145208939136 | 1.4317540445688254e+20 |
| 16.0ms | -2.3032149342535224e+35 | -4.586231796941677e+27 |
| 30.0ms | 320× | body | 256 | valid |
| 1.0ms | 8× | body | 256 | infinite |
Compiled 258 to 214 computations (17.1% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 y -1/2) |
(*.f64 y x) |
| Outputs |
|---|
(neg.f64 x) |
(*.f64 y x) |
(neg.f64 x) |
918938533204673/1000000000000000 |
(*.f64 y -1/2) |
918938533204673/1000000000000000 |
(*.f64 y -1/2) |
(neg.f64 x) |
2 calls:
| 31.0ms | y |
| 27.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 20.3b | 8 | x |
| 22.9b | 9 | y |
Compiled 17 to 11 computations (35.3% saved)
| 7× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 2.1777900939638376e-6 | 1814893.03102155 |
| 14.0ms | 1.4593472862973914e-221 | 1.2868283469859313e-219 |
| 15.0ms | -1.6816888297226203e-186 | -5.445225917991324e-193 |
| 14.0ms | -1.8741037224977715e-151 | -2.630973204533402e-154 |
| 18.0ms | -4106314.167251399 | -5.547927583132662e-7 |
| 11.0ms | -1.4777054114510547e+44 | -6.4423961035057695e+41 |
| 14.0ms | -1.4403981145677584e+67 | -7.563141595035622e+63 |
| 92.0ms | 944× | body | 256 | valid |
| 1.0ms | 8× | body | 256 | infinite |
Compiled 623 to 520 computations (16.5% saved)
| Inputs |
|---|
918938533204673/1000000000000000 |
(neg.f64 x) |
(*.f64 y -1/2) |
| Outputs |
|---|
(neg.f64 x) |
918938533204673/1000000000000000 |
(*.f64 y -1/2) |
918938533204673/1000000000000000 |
(*.f64 y -1/2) |
(neg.f64 x) |
2 calls:
| 30.0ms | y |
| 22.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 21.4b | 6 | x |
| 22.9b | 9 | y |
Compiled 14 to 10 computations (28.6% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 2.1777900939638376e-6 | 1814893.03102155 |
| 11.0ms | 1.4593472862973914e-221 | 1.2868283469859313e-219 |
| 18.0ms | -1.6816888297226203e-186 | -5.445225917991324e-193 |
| 13.0ms | -1.8741037224977715e-151 | -2.630973204533402e-154 |
| 18.0ms | -4106314.167251399 | -5.547927583132662e-7 |
| 72.0ms | 704× | body | 256 | valid |
Compiled 458 to 400 computations (12.7% saved)
Total -36.9b remaining (-146.3%)
Threshold costs -36.9b (-146.3%)
| Inputs |
|---|
918938533204673/1000000000000000 |
(neg.f64 x) |
| Outputs |
|---|
(neg.f64 x) |
918938533204673/1000000000000000 |
(neg.f64 x) |
2 calls:
| 48.0ms | y |
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 25.3b | 3 | x |
| 37.0b | 7 | y |
Compiled 11 to 8 computations (27.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1814893.03102155 | 79573084.01346807 |
| 18.0ms | -4106314.167251399 | -5.547927583132662e-7 |
| 26.0ms | 272× | body | 256 | valid |
Compiled 171 to 150 computations (12.3% saved)
| 1× | egg-herbie |
| 26× | +-commutative |
| 18× | *-commutative |
| 16× | sub-neg |
| 8× | if-if-or-not |
| 6× | neg-mul-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 641 |
| 1 | 149 | 641 |
| 2 | 161 | 641 |
| 3 | 167 | 641 |
| 4 | 170 | 641 |
| 5 | 171 | 641 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))) |
(if (<=.f64 x -649999999999999975015836522013958883770368) (*.f64 (-.f64 y 1) x) (if (<=.f64 x 5076543969084869/2361183241434822606848) (-.f64 (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) x) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)))) |
(if (<=.f64 x -649999999999999975015836522013958883770368) (*.f64 (-.f64 y 1) x) (if (<=.f64 x 5076543969084869/2361183241434822606848) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y)) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)))) |
(if (<=.f64 x -649999999999999975015836522013958883770368) (*.f64 (-.f64 y 1) x) (if (<=.f64 x 1750000) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y)) (-.f64 (*.f64 y x) x))) |
(if (<=.f64 x -6124895493223875/9007199254740992) (*.f64 (-.f64 y 1) x) (if (<=.f64 x 8106479329266893/9007199254740992) (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) (-.f64 (*.f64 y x) x))) |
(if (<=.f64 x -3242591731706757/4503599627370496) (*.f64 (-.f64 y 1) x) (if (<=.f64 x 7656119366529843/9007199254740992) (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) (*.f64 (-.f64 y 1) x))) |
(if (<=.f64 y -5854679515581645/4503599627370496) (*.f64 y (-.f64 x 1/2)) (if (<=.f64 y 1) (-.f64 918938533204673/1000000000000000 x) (*.f64 y (-.f64 x 1/2)))) |
(if (<=.f64 y -4600000000000000116098334720) (*.f64 y -1/2) (if (<=.f64 y 8196551321814303/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (*.f64 y -1/2))) |
(if (<=.f64 x -7600000000000000220495249965089532957636953130287854381722238976) (neg.f64 x) (if (<=.f64 x -145000000000000008829565911981095949340508160) (*.f64 y x) (if (<=.f64 x -8286623314361713/9007199254740992) (neg.f64 x) (if (<=.f64 x -1745457621479963/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) 918938533204673/1000000000000000 (if (<=.f64 x -7936190963264895/4898883310657342436947850401401639604522231782621865961233415550616320366316550245614411808808882209683752589725123921141977824503727074585042721378292777435812376133285876920625254286345394996247527424) (*.f64 y -1/2) (if (<=.f64 x 7312981221973259/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) 918938533204673/1000000000000000 (if (<=.f64 x 7926335344172073/9007199254740992) (*.f64 y -1/2) (neg.f64 x)))))))) |
(if (<=.f64 x -8286623314361713/9007199254740992) (neg.f64 x) (if (<=.f64 x -4453275661289419/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) 918938533204673/1000000000000000 (if (<=.f64 x -3135285318820699/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136) (*.f64 y -1/2) (if (<=.f64 x 8012483773640267/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) 918938533204673/1000000000000000 (if (<=.f64 x 8106479329266893/9007199254740992) (*.f64 y -1/2) (neg.f64 x)))))) |
(if (<=.f64 x -8286623314361713/9007199254740992) (neg.f64 x) (if (<=.f64 x 1850000) 918938533204673/1000000000000000 (neg.f64 x))) |
918938533204673/1000000000000000 |
| Outputs |
|---|
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) |
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))) |
(if (<=.f64 x -649999999999999975015836522013958883770368) (*.f64 (-.f64 y 1) x) (if (<=.f64 x 5076543969084869/2361183241434822606848) (-.f64 (+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000) x) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)))) |
(if (<=.f64 x -649999999999999975015836522013958883770368) (*.f64 x (+.f64 y -1)) (if (<=.f64 x 5076543969084869/2361183241434822606848) (-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) x) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)))) |
(if (<=.f64 x -649999999999999975015836522013958883770368) (*.f64 (-.f64 y 1) x) (if (<=.f64 x 5076543969084869/2361183241434822606848) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y)) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)))) |
(if (<=.f64 x -649999999999999975015836522013958883770368) (*.f64 x (+.f64 y -1)) (if (<=.f64 x 5076543969084869/2361183241434822606848) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y -1/2)) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y x)))) |
(if (<=.f64 x -649999999999999975015836522013958883770368) (*.f64 (-.f64 y 1) x) (if (<=.f64 x 1750000) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 -1/2 y)) (-.f64 (*.f64 y x) x))) |
(if (<=.f64 x -649999999999999975015836522013958883770368) (*.f64 x (+.f64 y -1)) (if (<=.f64 x 1750000) (+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y -1/2)) (-.f64 (*.f64 y x) x))) |
(if (<=.f64 x -6124895493223875/9007199254740992) (*.f64 (-.f64 y 1) x) (if (<=.f64 x 8106479329266893/9007199254740992) (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) (-.f64 (*.f64 y x) x))) |
(if (<=.f64 x -6124895493223875/9007199254740992) (*.f64 x (+.f64 y -1)) (if (<=.f64 x 8106479329266893/9007199254740992) (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2)) (-.f64 (*.f64 y x) x))) |
(if (<=.f64 x -3242591731706757/4503599627370496) (*.f64 (-.f64 y 1) x) (if (<=.f64 x 7656119366529843/9007199254740992) (-.f64 918938533204673/1000000000000000 (*.f64 1/2 y)) (*.f64 (-.f64 y 1) x))) |
(if (or (<=.f64 x -3242591731706757/4503599627370496) (not (<=.f64 x 7656119366529843/9007199254740992))) (*.f64 x (+.f64 y -1)) (+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))) |
(if (<=.f64 y -5854679515581645/4503599627370496) (*.f64 y (-.f64 x 1/2)) (if (<=.f64 y 1) (-.f64 918938533204673/1000000000000000 x) (*.f64 y (-.f64 x 1/2)))) |
(if (or (<=.f64 y -5854679515581645/4503599627370496) (not (<=.f64 y 1))) (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)) |
(if (<=.f64 y -4600000000000000116098334720) (*.f64 y -1/2) (if (<=.f64 y 8196551321814303/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (*.f64 y -1/2))) |
(if (<=.f64 x -7600000000000000220495249965089532957636953130287854381722238976) (neg.f64 x) (if (<=.f64 x -145000000000000008829565911981095949340508160) (*.f64 y x) (if (<=.f64 x -8286623314361713/9007199254740992) (neg.f64 x) (if (<=.f64 x -1745457621479963/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) 918938533204673/1000000000000000 (if (<=.f64 x -7936190963264895/4898883310657342436947850401401639604522231782621865961233415550616320366316550245614411808808882209683752589725123921141977824503727074585042721378292777435812376133285876920625254286345394996247527424) (*.f64 y -1/2) (if (<=.f64 x 7312981221973259/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) 918938533204673/1000000000000000 (if (<=.f64 x 7926335344172073/9007199254740992) (*.f64 y -1/2) (neg.f64 x)))))))) |
(if (<=.f64 x -8286623314361713/9007199254740992) (neg.f64 x) (if (<=.f64 x -4453275661289419/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) 918938533204673/1000000000000000 (if (<=.f64 x -3135285318820699/313528531882069915964662425689704934689422834087799421518938595239444503444259215719322355763768461419760165742407930953086580768238532773442734168210737755891992072530296122920016274326105279759841755136) (*.f64 y -1/2) (if (<=.f64 x 8012483773640267/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176) 918938533204673/1000000000000000 (if (<=.f64 x 8106479329266893/9007199254740992) (*.f64 y -1/2) (neg.f64 x)))))) |
(if (<=.f64 x -8286623314361713/9007199254740992) (neg.f64 x) (if (<=.f64 x 1850000) 918938533204673/1000000000000000 (neg.f64 x))) |
918938533204673/1000000000000000 |
Compiled 289 to 202 computations (30.1% saved)
| 1× | egg-herbie |
| 1392× | fma-def |
| 764× | associate-+l+ |
| 706× | associate-+l- |
| 678× | associate--r+ |
| 540× | associate-+r+ |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 31 |
| 1 | 30 | 27 |
| 2 | 66 | 23 |
| 3 | 126 | 23 |
| 4 | 263 | 21 |
| 5 | 614 | 21 |
| 6 | 1497 | 21 |
| 7 | 2817 | 21 |
| 8 | 3922 | 21 |
| 9 | 4054 | 21 |
| 10 | 4081 | 21 |
| 1× | saturated |
Compiled 221 to 159 computations (28.1% saved)
Compiled 265 to 171 computations (35.5% saved)
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