Time bar (total: 14.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 6.3% | 6.2% | 93.7% | 0.1% | 0% | 0% | 0% | 7 |
| 15.6% | 15.6% | 84.3% | 0.1% | 0% | 0% | 0% | 8 |
| 28.1% | 28.1% | 71.8% | 0.1% | 0% | 0% | 0% | 9 |
| 30.5% | 30.4% | 69.5% | 0.1% | 0% | 0% | 0% | 10 |
| 38.3% | 38.2% | 61.7% | 0.1% | 0% | 0% | 0% | 11 |
| 39.6% | 39.6% | 60.3% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 16 to 12 computations (25% saved)
| 952.0ms | 1170× | body | 2048 | valid |
| 936.0ms | 4905× | body | 256 | valid |
| 777.0ms | 1312× | body | 1024 | valid |
| 366.0ms | 865× | body | 512 | valid |
| 6.0ms | 4× | body | 4096 | valid |
| 2× | egg-herbie |
| 8× | associate-/r* |
| 4× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 78 |
| 1 | 22 | 78 |
| 2 | 26 | 78 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (tan.f64 (/.f64 y (*.f64 x 2))) (sin.f64 (/.f64 y (*.f64 x 2)))) |
| Outputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (tan.f64 (/.f64 y (*.f64 x 2))) (sin.f64 (/.f64 y (*.f64 x 2)))) |
Compiled 17 to 13 computations (23.5% saved)
| 1× | egg-herbie |
| 4× | associate-/r* |
| 2× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 39 |
| 1 | 14 | 39 |
| 2 | 16 | 39 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| Outputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
Compiled 15 to 11 computations (26.7% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 36.1b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
Compiled 15 to 11 computations (26.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 5.5b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| ✓ | 30.6b | (sin.f64 (/.f64 x (*.f64 y 2))) |
| ✓ | 31.0b | (tan.f64 (/.f64 x (*.f64 y 2))) |
Compiled 38 to 25 computations (34.2% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (tan.f64 (/.f64 x (*.f64 y 2))) |
| 2.0ms | y | @ | -inf | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 1.0ms | y | @ | inf | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 1.0ms | y | @ | inf | (tan.f64 (/.f64 x (*.f64 y 2))) |
| 1.0ms | x | @ | 0 | (tan.f64 (/.f64 x (*.f64 y 2))) |
| 1× | batch-egg-rewrite |
| 1742× | associate-*r/ |
| 1568× | associate-/l* |
| 1444× | associate-*l/ |
| 238× | add-sqr-sqrt |
| 234× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 73 |
| 1 | 231 | 73 |
| 2 | 3060 | 73 |
| 1× | node limit |
| Inputs |
|---|
(tan.f64 (/.f64 x (*.f64 y 2))) |
(sin.f64 (/.f64 x (*.f64 y 2))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) |
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| 1× | egg-herbie |
| 1234× | +-commutative |
| 1168× | associate-+r+ |
| 1146× | times-frac |
| 690× | associate-/l* |
| 672× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 475 | 9413 |
| 1 | 1300 | 9211 |
| 2 | 6969 | 9211 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 1/2 (/.f64 x y)))) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 1/2 (/.f64 x y)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))) |
(-.f64 (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (pow.f64 x 2)) (pow.f64 y 7))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/384 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 4)) (pow.f64 y 7))) (*.f64 -1/92160 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 x 2))) (+.f64 (*.f64 1/92160 (pow.f64 x 7)) (*.f64 1/384 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 4)))))) (pow.f64 y 7))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
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(*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1) |
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) |
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3) |
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)) |
(log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)) |
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(exp.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)) |
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1) |
(*.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1) |
(*.f64 1 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) |
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3) |
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) |
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y))) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 1/2 (/.f64 x y)))) |
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 1/2 (/.f64 x y)))) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 1/2 (/.f64 x y) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/2 (/.f64 x y))))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 1/2 (/.f64 x y)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))) |
(-.f64 (fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840))) (fma.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 3) 1/24) (/.f64 (pow.f64 y 5) (*.f64 x x))) (fma.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/16)))) |
(-.f64 (fma.f64 1/2 (/.f64 x y) (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/48 (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840))) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 1/24 (pow.f64 x 3)) (pow.f64 y 5)) (*.f64 x x)) (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/16 (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/768)))) |
(-.f64 (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (pow.f64 x 2)) (pow.f64 y 7))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/384 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 4)) (pow.f64 y 7))) (*.f64 -1/92160 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))))) |
(-.f64 (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (fma.f64 1/2 (/.f64 x y) (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840)))) (fma.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 3) 1/24) (/.f64 (pow.f64 y 5) (*.f64 x x))) (fma.f64 -1/8 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) 1/3840) (fma.f64 -1/8 (*.f64 (*.f64 (pow.f64 x 3) 1/24) (*.f64 x x)) (*.f64 (pow.f64 x 5) 1/768))) (/.f64 (pow.f64 y 7) (*.f64 x x))) (fma.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/384 (/.f64 (*.f64 (pow.f64 x 3) 1/24) (/.f64 (pow.f64 y 7) (pow.f64 x 4))) (*.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/92160))))))) |
(-.f64 (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/48 (fma.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/645120 (fma.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840 (*.f64 1/2 (/.f64 x y))))) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 1/24 (pow.f64 x 3)) (pow.f64 y 5)) (*.f64 x x)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (/.f64 (pow.f64 y 7) (-.f64 (*.f64 (pow.f64 x 5) 1/3840) (fma.f64 (pow.f64 x 5) 1/768 (*.f64 -1/8 (*.f64 (pow.f64 x 3) (*.f64 1/24 (*.f64 x x)))))))) (fma.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/768 (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/16 (fma.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/92160 (/.f64 (*.f64 (pow.f64 x 3) (*.f64 1/24 (pow.f64 x 4))) (/.f64 (pow.f64 y 7) 1/384)))))))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))) |
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 3) -1/24) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y))) |
(-.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 y 3) -1/24))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))) |
(fma.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24))))) (pow.f64 y 5)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 3) -1/24) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))) |
(-.f64 (-.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 y 3) -1/24))) (/.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 1/8 (*.f64 (pow.f64 x 3) (*.f64 (*.f64 x x) -1/24)))) (pow.f64 y 5))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 x 2))) (+.f64 (*.f64 1/92160 (pow.f64 x 7)) (*.f64 1/384 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 4)))))) (pow.f64 y 7))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))))) |
(fma.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24))))) (pow.f64 y 5)) (fma.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24)))))) (fma.f64 1/92160 (pow.f64 x 7) (*.f64 1/384 (*.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 3) -1/24)))))) (pow.f64 y 7)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 3) -1/24) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y))))) |
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(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)) |
(fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(exp.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 1 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) |
(fabs.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))) |
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
Compiled 8186 to 5947 computations (27.4% saved)
52 alts after pruning (51 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 157 | 51 | 208 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 157 | 52 | 209 |
| Status | Error | Program |
|---|---|---|
| 36.1b | (pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1) | |
| 36.1b | (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) | |
| 36.8b | (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.8b | (/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 37.0b | (/.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 51.3b | (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.3b | (/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.2b | (/.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.8b | (/.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.8b | (/.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 37.6b | (/.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 37.6b | (/.f64 (/.f64 -1 (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.8b | (/.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.7b | (/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| ▶ | 36.8b | (/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 51.1b | (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.9b | (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.7b | (/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 39.3b | (/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| ▶ | 36.8b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)) |
| ▶ | 46.6b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
| 36.8b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 36.4b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)) | |
| 53.9b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) | |
| ✓ | 36.1b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 36.4b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 59.3b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 49.8b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) | |
| 51.2b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))) | |
| 36.3b | (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.1b | (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) | |
| 53.3b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.3b | (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 58.5b | (/.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 58.5b | (/.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 49.5b | (/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 50.7b | (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3)) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| ▶ | 30.6b | (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
| ▶ | 39.3b | (+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)))) |
| 36.1b | (*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 37.9b | (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 36.1b | (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 51.2b | (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 51.2b | (*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 36.6b | (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 37.4b | (*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) | |
| 51.8b | (*.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 37.0b | (sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) | |
| 36.1b | (log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 36.1b | (log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))) | |
| 50.9b | (cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))) | |
| 30.7b | 1 |
Compiled 2480 to 1874 computations (24.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 1/2 (/.f64 x y)) |
| ✓ | 0.1b | (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
| ✓ | 30.7b | (cos.f64 (*.f64 1/2 (/.f64 x y))) |
Compiled 28 to 15 computations (46.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
| 0.0ms | x | @ | inf | (*.f64 1/2 (/.f64 x y)) |
| 0.0ms | y | @ | inf | (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
| 0.0ms | y | @ | 0 | (*.f64 1/2 (/.f64 x y)) |
| 0.0ms | x | @ | 0 | (*.f64 1/2 (/.f64 x y)) |
| 1× | batch-egg-rewrite |
| 1020× | associate-*r/ |
| 958× | *-commutative |
| 944× | associate-/r* |
| 668× | associate-*l/ |
| 616× | unswap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 53 |
| 1 | 223 | 53 |
| 2 | 2682 | 53 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 1/2 (/.f64 x y)) |
| Outputs |
|---|
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(/.f64 x y)))) (sqrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (/.f64 x (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (/.f64 y x)))) (cbrt.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (/.f64 1 (sqrt.f64 x))) (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 y (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) 1)) (/.f64 (sqrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) (sqrt.f64 x))) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (/.f64 (cbrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -1/2) 1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -1/2) -1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -1/2) (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -1/2) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x -1/2) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x 2) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) 1) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) 1) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 x (neg.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1/2 (/.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 1/2 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y)))))))) |
| 1× | egg-herbie |
| 824× | associate-/l* |
| 792× | distribute-rgt-in |
| 780× | distribute-lft-in |
| 486× | associate-/l/ |
| 456× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 503 | 7344 |
| 1 | 1194 | 6872 |
| 2 | 4757 | 6846 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) |
(*.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) |
(*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (neg.f64 (neg.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(*.f64 -1 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (neg.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (neg.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) 1) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) -1) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))))) |
(*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(/.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) |
(/.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
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(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) 1) (cbrt.f64 y)) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y))) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y))) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y))) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y))) |
(pow.f64 (*.f64 1/2 (/.f64 x y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3) |
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3) |
(neg.f64 (*.f64 (/.f64 x (neg.f64 y)) 1/2)) |
(neg.f64 (*.f64 1/2 (/.f64 x (neg.f64 y)))) |
(neg.f64 (/.f64 (*.f64 1/2 x) (neg.f64 y))) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) 1/2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 x y))))) |
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y)))) |
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y)))) |
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y)))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) |
(+.f64 (fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 -1/46080 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) |
(+.f64 (fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 -1/46080 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) |
(+.f64 (fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 -1/46080 (/.f64 (pow.f64 y 6) (pow.f64 x 6))))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)) |
(fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))) |
(+.f64 1 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 (/.f64 (*.f64 (pow.f64 x 4) 5/384) (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080)))) |
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080)))) |
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 (/.f64 61/46080 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)) |
(fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))) |
(+.f64 1 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 (/.f64 (*.f64 (pow.f64 x 4) 5/384) (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(fma.f64 -1 (/.f64 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)))) |
(-.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 1/8 (*.f64 x (*.f64 x (*.f64 (pow.f64 x 4) -5/384))))) (pow.f64 y 6))) |
(-.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1) (+.f64 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384)) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 1/8 (*.f64 (pow.f64 x 6) -5/384))) (pow.f64 y 6)))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)) |
(fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))) |
(+.f64 1 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 (/.f64 (*.f64 (pow.f64 x 4) 5/384) (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(fma.f64 -1 (/.f64 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)))) |
(-.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 1/8 (*.f64 x (*.f64 x (*.f64 (pow.f64 x 4) -5/384))))) (pow.f64 y 6))) |
(-.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1) (+.f64 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384)) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 1/8 (*.f64 (pow.f64 x 6) -5/384))) (pow.f64 y 6)))) |
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(*.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) |
(*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) |
(*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (neg.f64 (neg.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) |
(*.f64 -1 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(*.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (neg.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(*.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (neg.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) |
(*.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(/.f64 (*.f64 1 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) |
(/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) |
(/.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(/.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) |
(/.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) 1) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) |
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(/.f64 (/.f64 (*.f64 x -1/2) -1) y) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(/.f64 (/.f64 (*.f64 x -1/2) (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(/.f64 (/.f64 (*.f64 x -1/2) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 1/2 (/.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y)))) |
(*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(*.f64 x (/.f64 1/2 (*.f64 (sqrt.f64 y) (sqrt.f64 y)))) |
(/.f64 (/.f64 (*.f64 x -1/2) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(/.f64 (/.f64 (/.f64 x 2) 1) y) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) 1) (sqrt.f64 y)) |
(/.f64 1/2 (/.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y)))) |
(*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(*.f64 x (/.f64 1/2 (*.f64 (sqrt.f64 y) (sqrt.f64 y)))) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y))) |
(*.f64 (/.f64 (/.f64 1/2 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))) (/.f64 x (cbrt.f64 y))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (sqrt.f64 y))) (/.f64 (/.f64 x (sqrt.f64 y)) (cbrt.f64 y))) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y))) |
(/.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (/.f64 1/2 (sqrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 x (sqrt.f64 y)) (fabs.f64 (cbrt.f64 y)))) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y))) |
(/.f64 1/2 (/.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y)))) |
(*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(*.f64 x (/.f64 1/2 (*.f64 (sqrt.f64 y) (sqrt.f64 y)))) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) 1) (cbrt.f64 y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y))) |
(/.f64 (*.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (/.f64 x (cbrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (cbrt.f64 y))) (/.f64 x (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))) |
(/.f64 x (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))) (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (/.f64 x (cbrt.f64 (sqrt.f64 y))) (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (sqrt.f64 y)))) |
(pow.f64 (*.f64 1/2 (/.f64 x y)) 1) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(neg.f64 (*.f64 (/.f64 x (neg.f64 y)) 1/2)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(neg.f64 (*.f64 1/2 (/.f64 x (neg.f64 y)))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(neg.f64 (/.f64 (*.f64 1/2 x) (neg.f64 y))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) 1/2)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 16.4b | (/.f64 (*.f64 x x) (*.f64 y y)) |
Compiled 39 to 13 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 1× | batch-egg-rewrite |
| 1582× | add-sqr-sqrt |
| 1566× | *-un-lft-identity |
| 1464× | add-cube-cbrt |
| 1444× | add-cbrt-cube |
| 152× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 149 | 13 |
| 2 | 2189 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x x) (*.f64 y y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 y (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (cbrt.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 y x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 x x)) (/.f64 1 (neg.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 y 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (pow.f64 y 4))) (/.f64 x (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) y) (/.f64 (cbrt.f64 (*.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) 2))))))) |
| 1× | egg-herbie |
| 1718× | associate-+r+ |
| 1400× | associate-+l+ |
| 922× | associate-*r/ |
| 698× | associate-*l/ |
| 556× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 1319 |
| 1 | 229 | 989 |
| 2 | 902 | 989 |
| 3 | 4505 | 989 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2))) 1) |
(*.f64 x (*.f64 x (pow.f64 y -2))) |
(*.f64 x (/.f64 1 (/.f64 y (/.f64 x y)))) |
(*.f64 (*.f64 x x) (pow.f64 y -2)) |
(*.f64 (pow.f64 (/.f64 x y) 2) 1) |
(*.f64 1 (pow.f64 (/.f64 x y) 2)) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (cbrt.f64 (pow.f64 (/.f64 x y) 2))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 y -2))) |
(*.f64 (/.f64 x (/.f64 y x)) (/.f64 1 y)) |
(*.f64 (pow.f64 y -2) (*.f64 x x)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 1 (neg.f64 (*.f64 y y)))) |
(*.f64 (/.f64 x 1) (/.f64 x (*.f64 y y))) |
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 y x))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 x (*.f64 y y)) x) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 y y))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 y 4))) (/.f64 x (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) y) (/.f64 (cbrt.f64 (*.f64 x x)) y)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (pow.f64 (/.f64 x y) 2))) |
(pow.f64 (pow.f64 (/.f64 x y) 2) 1) |
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) 3) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -1) |
(pow.f64 (/.f64 x y) 2) |
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 y y)))) |
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) |
(log.f64 (exp.f64 (pow.f64 (/.f64 x y) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x y) 2)))) |
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 x y) 2))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) 2)) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) 2))) |
| Outputs |
|---|
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2))) 1) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(*.f64 x (*.f64 x (pow.f64 y -2))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(*.f64 x (/.f64 1 (/.f64 y (/.f64 x y)))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(*.f64 (*.f64 x x) (pow.f64 y -2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(*.f64 (pow.f64 (/.f64 x y) 2) 1) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(*.f64 1 (pow.f64 (/.f64 x y) 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (cbrt.f64 (pow.f64 (/.f64 x y) 4))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (cbrt.f64 (pow.f64 (/.f64 x y) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (cbrt.f64 (pow.f64 (/.f64 x y) 4))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 y -2))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 y -2) (cbrt.f64 (*.f64 x x)))) |
(*.f64 (pow.f64 y -2) (*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)))) |
(*.f64 (/.f64 x (/.f64 y x)) (/.f64 1 y)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(*.f64 (pow.f64 y -2) (*.f64 x x)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 1 (neg.f64 (*.f64 y y)))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(*.f64 (/.f64 x 1) (/.f64 x (*.f64 y y))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 y x))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 y 4))) (/.f64 x (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 x (*.f64 y y)) x) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 y y))) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 y y))) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 y y) (cbrt.f64 (*.f64 x x)))) |
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 y 4))) (/.f64 x (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y 4))) (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2))) |
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y 4))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) y) (/.f64 (cbrt.f64 (*.f64 x x)) y)) |
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (*.f64 x x)) (*.f64 y y))) |
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (*.f64 y y) (cbrt.f64 (*.f64 x x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (pow.f64 (/.f64 x y) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 y 4)))) |
(pow.f64 (pow.f64 (/.f64 x y) 2) 1) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) 3) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3) 1/3) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(pow.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -1) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 y y)))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) |
(sqrt.f64 (pow.f64 (/.f64 x y) 4)) |
(log.f64 (exp.f64 (pow.f64 (/.f64 x y) 2))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x y) 2)))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(exp.f64 (log.f64 (pow.f64 (/.f64 x y) 2))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) 2)) 1)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) 2))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 5.7b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
| ✓ | 8.4b | (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
| ✓ | 16.9b | (/.f64 (pow.f64 x 3) (pow.f64 y 3)) |
| 31.0b | (tan.f64 (/.f64 x (*.f64 y 2))) |
Compiled 89 to 59 computations (33.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
| 1.0ms | x | @ | 0 | (/.f64 (pow.f64 x 3) (pow.f64 y 3)) |
| 1.0ms | x | @ | inf | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
| 1.0ms | y | @ | inf | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
| 1.0ms | y | @ | -inf | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
| 1× | batch-egg-rewrite |
| 894× | associate-/r/ |
| 716× | associate-/l/ |
| 446× | add-sqr-sqrt |
| 428× | *-un-lft-identity |
| 424× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 119 |
| 1 | 454 | 101 |
| 2 | 6182 | 101 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 x 3) (pow.f64 y 3)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x y) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x x) (pow.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (pow.f64 y -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x y) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (/.f64 x y) 3)) (sqrt.f64 (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) (pow.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 x (pow.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x y) 2) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -3) (pow.f64 x 3))))) (#(struct:change 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| 1× | egg-herbie |
| 1412× | associate-*r* |
| 1224× | associate-*l* |
| 910× | *-commutative |
| 756× | associate-/l* |
| 740× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 648 | 15827 |
| 1 | 2017 | 15307 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 x y)) |
(*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
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1 |
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(*.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (+.f64 (*.f64 (pow.f64 (/.f64 x y) 3) 1/8) (*.f64 -1/110592 (pow.f64 (pow.f64 (/.f64 x y) 3) 3)))) (+.f64 (*.f64 1/4 (pow.f64 (/.f64 x y) 2)) (*.f64 (*.f64 (pow.f64 (/.f64 x y) 3) -1/48) (-.f64 (*.f64 (pow.f64 (/.f64 x y) 3) -1/48) (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 1/4 (pow.f64 (/.f64 x y) 2)) (*.f64 1/2304 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) (*.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (+.f64 (*.f64 x (/.f64 1/2 y)) (*.f64 1/48 (pow.f64 (/.f64 x y) 3))))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 x y) 3) 1/8) (*.f64 -1/110592 (pow.f64 (pow.f64 (/.f64 x y) 3) 3)))) (*.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (+.f64 (*.f64 1/4 (pow.f64 (/.f64 x y) 2)) (*.f64 (*.f64 (pow.f64 (/.f64 x y) 3) -1/48) (-.f64 (*.f64 (pow.f64 (/.f64 x y) 3) -1/48) (*.f64 x (/.f64 1/2 y))))))) |
(*.f64 (/.f64 1 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y))) 2))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y))) 2))) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 (/.f64 x y) 2)) (*.f64 1/2304 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) (neg.f64 (+.f64 (*.f64 x (/.f64 1/2 y)) (*.f64 1/48 (pow.f64 (/.f64 x y) 3))))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x y) 3) 1/8) (*.f64 -1/110592 (pow.f64 (pow.f64 (/.f64 x y) 3) 3))))) (neg.f64 (+.f64 (*.f64 1/4 (pow.f64 (/.f64 x y) 2)) (*.f64 (*.f64 (pow.f64 (/.f64 x y) 3) -1/48) (-.f64 (*.f64 (pow.f64 (/.f64 x y) 3) -1/48) (*.f64 x (/.f64 1/2 y))))))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (-.f64 (*.f64 1/2304 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/4 (pow.f64 (/.f64 x y) 2)))) (-.f64 (*.f64 (pow.f64 (/.f64 x y) 3) -1/48) (*.f64 x (/.f64 1/2 y)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (+.f64 (*.f64 (*.f64 x 1/2) (pow.f64 y 3)) (*.f64 y (*.f64 (pow.f64 x 3) -1/48)))) (*.f64 y (pow.f64 y 3))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (+.f64 (*.f64 (*.f64 (pow.f64 x 3) -1/48) y) (*.f64 (pow.f64 y 3) (*.f64 x 1/2)))) (*.f64 (pow.f64 y 3) y)) |
(*.f64 (/.f64 1 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 1 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 (/.f64 x y) 2)) (*.f64 1/2304 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) (+.f64 (*.f64 x (/.f64 1/2 y)) (*.f64 1/48 (pow.f64 (/.f64 x y) 3)))) |
(*.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x y) 3) 1/8) (*.f64 -1/110592 (pow.f64 (pow.f64 (/.f64 x y) 3) 3))))) (+.f64 (*.f64 1/4 (pow.f64 (/.f64 x y) 2)) (*.f64 (*.f64 (pow.f64 (/.f64 x y) 3) -1/48) (-.f64 (*.f64 (pow.f64 (/.f64 x y) 3) -1/48) (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (/.f64 x y) 2)) (*.f64 1/2304 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) (sqrt.f64 (+.f64 (*.f64 x (/.f64 1/2 y)) (*.f64 1/48 (pow.f64 (/.f64 x y) 3))))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x y) 3) 1/8) (*.f64 -1/110592 (pow.f64 (pow.f64 (/.f64 x y) 3) 3))))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (/.f64 x y) 2)) (*.f64 (*.f64 (pow.f64 (/.f64 x y) 3) -1/48) (-.f64 (*.f64 (pow.f64 (/.f64 x y) 3) -1/48) (*.f64 x (/.f64 1/2 y))))))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y))) 2))) (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (/.f64 x y) 2)) (*.f64 1/2304 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) (cbrt.f64 (+.f64 (*.f64 x (/.f64 1/2 y)) (*.f64 1/48 (pow.f64 (/.f64 x y) 3))))) |
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y))) 2))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x y) 3) 1/8) (*.f64 -1/110592 (pow.f64 (pow.f64 (/.f64 x y) 3) 3))))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (/.f64 x y) 2)) (*.f64 (*.f64 (pow.f64 (/.f64 x y) 3) -1/48) (-.f64 (*.f64 (pow.f64 (/.f64 x y) 3) -1/48) (*.f64 x (/.f64 1/2 y))))))) |
(pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y)))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y))))) 3) |
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y)))) 3) 1/3) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y)))))) |
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y)))) 2)) |
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y))))))) |
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y)))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y)))))) |
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y)))))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(*.f64 -1/48 (pow.f64 (/.f64 x y) 3)) |
(*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(*.f64 -1/48 (pow.f64 (/.f64 x y) 3)) |
(*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) |
(*.f64 -1/48 (pow.f64 (/.f64 x y) 3)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(/.f64 1/2 (/.f64 y x)) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)))) |
(+.f64 1 (*.f64 1/8 (pow.f64 (/.f64 x y) 2))) |
(+.f64 1 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 13/960 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 1 (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 13/960 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 1 (fma.f64 1/8 (pow.f64 (/.f64 x y) 2) (*.f64 13/960 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 1 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 227/161280 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 13/960 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 1 (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 227/161280 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 13/960 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 1 (fma.f64 1/8 (pow.f64 (/.f64 x y) 2) (fma.f64 227/161280 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 13/960 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(*.f64 -48 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 y 3)) (*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 x 3)))) |
(*.f64 -48 (*.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) |
(/.f64 (*.f64 -48 (*.f64 (pow.f64 y 3) (sin.f64 (/.f64 1/2 (/.f64 y x))))) (*.f64 (pow.f64 x 3) (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(+.f64 (*.f64 -1152 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 y 5)) (*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 x 5)))) (*.f64 -48 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 y 3)) (*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 x 3))))) |
(fma.f64 -1152 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 (*.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 x 5)) (pow.f64 y 5))) (*.f64 -48 (*.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))) |
(fma.f64 -1152 (*.f64 (/.f64 (sin.f64 (/.f64 1/2 (/.f64 y x))) (cos.f64 (/.f64 1/2 (/.f64 y x)))) (/.f64 (pow.f64 y 5) (pow.f64 x 5))) (/.f64 (*.f64 -48 (*.f64 (pow.f64 y 3) (sin.f64 (/.f64 1/2 (/.f64 y x))))) (*.f64 (pow.f64 x 3) (cos.f64 (/.f64 1/2 (/.f64 y x)))))) |
(+.f64 (*.f64 -1152 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 y 5)) (*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 x 5)))) (+.f64 (*.f64 -27648 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 y 7)) (*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 x 7)))) (*.f64 -48 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 y 3)) (*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 x 3)))))) |
(fma.f64 -1152 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 (*.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 x 5)) (pow.f64 y 5))) (fma.f64 -27648 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 (*.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 x 7)) (pow.f64 y 7))) (*.f64 -48 (*.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))) |
(fma.f64 -1152 (*.f64 (/.f64 (sin.f64 (/.f64 1/2 (/.f64 y x))) (cos.f64 (/.f64 1/2 (/.f64 y x)))) (/.f64 (pow.f64 y 5) (pow.f64 x 5))) (fma.f64 -27648 (*.f64 (/.f64 (sin.f64 (/.f64 1/2 (/.f64 y x))) (cos.f64 (/.f64 1/2 (/.f64 y x)))) (/.f64 (pow.f64 y 7) (pow.f64 x 7))) (/.f64 (*.f64 -48 (*.f64 (pow.f64 y 3) (sin.f64 (/.f64 1/2 (/.f64 y x))))) (*.f64 (pow.f64 x 3) (cos.f64 (/.f64 1/2 (/.f64 y x))))))) |
(+.f64 (*.f64 -1152 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 y 5)) (*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 x 5)))) (+.f64 (*.f64 -663552 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 y 9)) (*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 x 9)))) (+.f64 (*.f64 -27648 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 y 7)) (*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 x 7)))) (*.f64 -48 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 y 3)) (*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 x 3))))))) |
(fma.f64 -1152 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 (*.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 x 5)) (pow.f64 y 5))) (fma.f64 -663552 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 (*.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 x 9)) (pow.f64 y 9))) (fma.f64 -27648 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 (*.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 x 7)) (pow.f64 y 7))) (*.f64 -48 (*.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))) |
(fma.f64 -1152 (*.f64 (/.f64 (sin.f64 (/.f64 1/2 (/.f64 y x))) (cos.f64 (/.f64 1/2 (/.f64 y x)))) (/.f64 (pow.f64 y 5) (pow.f64 x 5))) (fma.f64 -663552 (*.f64 (/.f64 (sin.f64 (/.f64 1/2 (/.f64 y x))) (cos.f64 (/.f64 1/2 (/.f64 y x)))) (/.f64 (pow.f64 y 9) (pow.f64 x 9))) (fma.f64 -27648 (*.f64 (/.f64 (sin.f64 (/.f64 1/2 (/.f64 y x))) (cos.f64 (/.f64 1/2 (/.f64 y x)))) (/.f64 (pow.f64 y 7) (pow.f64 x 7))) (/.f64 (*.f64 -48 (*.f64 (pow.f64 y 3) (sin.f64 (/.f64 1/2 (/.f64 y x))))) (*.f64 (pow.f64 x 3) (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) |
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(*.f64 -48 (*.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) |
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1 |
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1 |
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(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y))) 2))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 x y) 3) 1/8) (*.f64 -1/110592 (pow.f64 (pow.f64 (/.f64 x y) 3) 3))))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (/.f64 x y) 2)) (*.f64 (*.f64 (pow.f64 (/.f64 x y) 3) -1/48) (-.f64 (*.f64 (pow.f64 (/.f64 x y) 3) -1/48) (*.f64 x (/.f64 1/2 y))))))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) 1/8 (*.f64 (pow.f64 (pow.f64 (/.f64 x y) 3) 3) -1/110592))) (cbrt.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 x (/.f64 1/2 y))) 2)))) (cbrt.f64 (fma.f64 1/4 (pow.f64 (/.f64 x y) 2) (*.f64 (*.f64 -1/48 (pow.f64 (/.f64 x y) 3)) (-.f64 (*.f64 -1/48 (pow.f64 (/.f64 x y) 3)) (*.f64 x (/.f64 1/2 y))))))) |
(*.f64 (/.f64 (tan.f64 (/.f64 1/2 (/.f64 y x))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 1/2 (/.f64 y x))) 2)) (cbrt.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) 1/8 (*.f64 (pow.f64 (pow.f64 (/.f64 x y) 3) 3) -1/110592))))) (cbrt.f64 (fma.f64 1/4 (pow.f64 (/.f64 x y) 2) (*.f64 -1/48 (*.f64 (pow.f64 (/.f64 x y) 3) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 (/.f64 x y) -1/2))))))) |
(pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y)))) 1) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (/.f64 1/2 (/.f64 y x))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 1/2 (/.f64 y x)))) |
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y))))) 2) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (/.f64 1/2 (/.f64 y x))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 1/2 (/.f64 y x)))) |
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y))))) 3) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (/.f64 1/2 (/.f64 y x))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 1/2 (/.f64 y x)))) |
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y)))) 3) 1/3) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (/.f64 1/2 (/.f64 y x))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 1/2 (/.f64 y x)))) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (/.f64 1/2 (/.f64 y x))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 1/2 (/.f64 y x)))) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (*.f64 1 (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (neg.f64 (tan.f64 (/.f64 1/2 (/.f64 y x)))) (+.f64 (*.f64 1/48 (pow.f64 (/.f64 x y) 3)) (*.f64 (/.f64 x y) -1/2))) |
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y)))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 x (/.f64 1/2 y)))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 1/2 (/.f64 y x))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 1/2 (/.f64 y x)))) 2)) |
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (/.f64 1/2 (/.f64 y x))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 1/2 (/.f64 y x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y))))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (/.f64 1/2 (/.f64 y x))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 1/2 (/.f64 y x)))) |
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y)))) 3)) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (/.f64 1/2 (/.f64 y x))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 1/2 (/.f64 y x)))) |
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y))) 3))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (/.f64 1/2 (/.f64 y x))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 1/2 (/.f64 y x)))) |
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (/.f64 1/2 (/.f64 y x))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 1/2 (/.f64 y x)))) |
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (/.f64 1/2 (/.f64 y x))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 1/2 (/.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y))))) 1)) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (/.f64 1/2 (/.f64 y x))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 1/2 (/.f64 y x)))) |
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (/.f64 1/2 (/.f64 y x))) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 1/2 (/.f64 y x)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 5.5b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)) |
| ✓ | 6.4b | (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
| ✓ | 30.7b | (sin.f64 (*.f64 x (/.f64 1/2 y))) |
| 31.0b | (tan.f64 (/.f64 x (*.f64 y 2))) |
Compiled 67 to 47 computations (29.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
| 1.0ms | x | @ | -inf | (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
| 1.0ms | y | @ | 0 | (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
| 1.0ms | y | @ | inf | (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
| 1.0ms | y | @ | -inf | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)) |
| 1× | batch-egg-rewrite |
| 1040× | swap-sqr |
| 460× | distribute-lft-neg-in |
| 414× | associate-/r/ |
| 404× | distribute-rgt-neg-in |
| 360× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 77 |
| 1 | 368 | 77 |
| 2 | 4582 | 77 |
| 1× | node limit |
| Inputs |
|---|
(sin.f64 (*.f64 x (/.f64 1/2 y))) |
(cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1220× | associate-+l+ |
| 942× | associate-+r+ |
| 936× | +-commutative |
| 826× | associate-/r* |
| 816× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 413 | 6775 |
| 1 | 1119 | 6645 |
| 2 | 5976 | 6645 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
1 |
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(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
1 |
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1 |
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(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1) |
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) |
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(*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1) |
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(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) |
(*.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
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(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6)) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/6)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 -1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (neg.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) |
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
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(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
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(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) |
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3) |
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(neg.f64 (*.f64 1 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) |
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)))) |
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y))))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
1 |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x)))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (-.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 x 3) 1/24) (*.f64 x (*.f64 y y)))) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/24))) |
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 x 3) (/.f64 (*.f64 x (*.f64 y y)) 1/24)) (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/24))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (*.f64 (pow.f64 y 4) x))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(+.f64 1 (-.f64 (*.f64 2 (+.f64 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (fma.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) 1/24)) (*.f64 (pow.f64 x 5) 1/768))) (*.f64 x (pow.f64 y 4))) (/.f64 (*.f64 (pow.f64 x 3) 1/24) (*.f64 x (*.f64 y y))))) (fma.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/24 (+.f64 (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 x 3) 1/24) x)) (*.f64 1/24 (*.f64 x x))) (/.f64 (pow.f64 y 4) (*.f64 x x))) (/.f64 (*.f64 x x) (*.f64 y y))))))) |
(-.f64 (fma.f64 2 (+.f64 (/.f64 (pow.f64 x 3) (/.f64 (*.f64 x (*.f64 y y)) 1/24)) (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (fma.f64 (*.f64 (*.f64 (pow.f64 x 3) 1/24) -1/8) (*.f64 x x) (*.f64 (pow.f64 x 5) 1/768))) (*.f64 x (pow.f64 y 4)))) 1) (fma.f64 -1/24 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 (fma.f64 2 (/.f64 (pow.f64 x 3) (/.f64 x 1/24)) (*.f64 (*.f64 x x) 1/24)) (pow.f64 y 4)) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/1920))) |
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(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) |
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(neg.f64 (*.f64 1 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) |
(fabs.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))) |
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 6.4b | (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) | |
| 30.6b | (sin.f64 (/.f64 x (*.f64 y 2))) | |
| ✓ | 30.7b | (cos.f64 (*.f64 x (/.f64 1/2 y))) |
| 30.7b | (sin.f64 (*.f64 x (/.f64 1/2 y))) |
Compiled 127 to 91 computations (28.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (cos.f64 (*.f64 x (/.f64 1/2 y))) |
| 0.0ms | y | @ | inf | (cos.f64 (*.f64 x (/.f64 1/2 y))) |
| 0.0ms | y | @ | -inf | (cos.f64 (*.f64 x (/.f64 1/2 y))) |
| 0.0ms | y | @ | 0 | (cos.f64 (*.f64 x (/.f64 1/2 y))) |
| 0.0ms | x | @ | inf | (cos.f64 (*.f64 x (/.f64 1/2 y))) |
| 1× | batch-egg-rewrite |
| 1794× | add-sqr-sqrt |
| 1770× | *-un-lft-identity |
| 1646× | add-cube-cbrt |
| 1626× | add-cbrt-cube |
| 182× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 185 | 17 |
| 2 | 2217 | 17 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) |
| 1× | egg-herbie |
| 1362× | associate-/l* |
| 950× | associate-/r* |
| 846× | associate-*r* |
| 782× | fma-def |
| 698× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 1014 |
| 1 | 146 | 1002 |
| 2 | 556 | 990 |
| 3 | 2722 | 990 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1) |
(*.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1) |
(*.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
(*.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1) |
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) |
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2)) |
(log.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)) |
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(exp.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)) |
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 (/.f64 -1/46080 (pow.f64 y 6)) (pow.f64 x 6) 1))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 (/.f64 -1/46080 (pow.f64 y 6)) (pow.f64 x 6) 1))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 (/.f64 -1/46080 (pow.f64 y 6)) (pow.f64 x 6) 1))) |
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(*.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(*.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(*.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2)) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(log.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(exp.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (/.f64 x (/.f64 y 1/2))) |
Compiled 43520 to 30821 computations (29.2% saved)
100 alts after pruning (98 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1222 | 77 | 1299 |
| Fresh | 25 | 21 | 46 |
| Picked | 0 | 1 | 1 |
| Done | 4 | 1 | 5 |
| Total | 1251 | 100 | 1351 |
| Status | Error | Program |
|---|---|---|
| 32.4b | (pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2) | |
| 30.6b | (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3) | |
| 36.1b | (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) | |
| ▶ | 36.8b | (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 36.8b | (/.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 37.6b | (/.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 30.6b | (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) | |
| 37.6b | (/.f64 (/.f64 -1 (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 47.1b | (/.f64 (-.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 y 3) -1/24))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) | |
| 37.1b | (/.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) 2) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.8b | (/.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 2) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.8b | (/.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 2) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.7b | (/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 50.1b | (/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| ▶ | 39.3b | (/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| ✓ | 36.8b | (/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 39.3b | (/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 37.2b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) 3)) | |
| 37.2b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3)) | |
| 37.0b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) 3)) | |
| 57.0b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3)) | |
| 36.8b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3)) | |
| 50.1b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2) 3/2)) 3)) | |
| 51.6b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3/2)))) 3)) | |
| 39.5b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)) | |
| 36.6b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 3)) | |
| 59.3b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3)) | |
| 40.4b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (/.f64 1/2 (/.f64 y x))) | |
| 36.4b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)) | |
| 39.1b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 x (/.f64 1/2 y))) | |
| 36.4b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 49.8b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) | |
| 36.3b | (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.1b | (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) | |
| 53.2b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)) | |
| 53.3b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.6b | (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)) | |
| 36.3b | (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 58.5b | (/.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 58.5b | (/.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 49.6b | (/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)) | |
| 50.6b | (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)) | |
| 30.6b | (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) | |
| 33.2b | (/.f64 1 (fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 1)) | |
| 38.5b | (/.f64 1 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)) | |
| 30.6b | (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)) | |
| 30.6b | (/.f64 1 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))) (/.f64 1 (*.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))))) | |
| 30.6b | (/.f64 1 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (cbrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))) (/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))))) | |
| 32.6b | (/.f64 1 (/.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2))))) | |
| 32.4b | (/.f64 1 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))) | |
| 32.7b | (/.f64 1 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2)))) | |
| 32.6b | (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) | |
| 31.5b | (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) | |
| 30.6b | (/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) | |
| 30.6b | (/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) | |
| 30.6b | (/.f64 1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) | |
| 37.9b | (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3))) | |
| ▶ | 45.8b | (/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2))) |
| 30.9b | (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3))) | |
| 31.0b | (/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)))) | |
| 31.2b | (/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y))))) | |
| 48.4b | (/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y))))) | |
| 30.6b | (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 x))))) | |
| 47.9b | (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 x))))) | |
| 31.0b | (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (/.f64 (cbrt.f64 y) x)))) | |
| 55.8b | (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) (sqrt.f64 x))) (/.f64 (sqrt.f64 y) (sqrt.f64 x))))) | |
| 30.8b | (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 y (cbrt.f64 x))))) | |
| 30.7b | (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (/.f64 y x)))) (cbrt.f64 (/.f64 y x))))) | |
| ▶ | 30.6b | (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x)))) |
| 46.0b | (/.f64 1 (cos.f64 (/.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) x) (sqrt.f64 y)))) | |
| 30.9b | (/.f64 1 (cos.f64 (/.f64 (*.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))))) | |
| 30.8b | (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))))) | |
| 46.3b | (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (/.f64 x (sqrt.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y))))) | |
| 32.3b | (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 x y) 2))) (cbrt.f64 (/.f64 y x))))) | |
| 31.3b | (/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (/.f64 y (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2)))))) | |
| 31.2b | (/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 y (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 x 1/2))))))) | |
| 46.0b | (/.f64 1 (cos.f64 (/.f64 x (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))) (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)))))) | |
| 30.9b | (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) | |
| 31.0b | (/.f64 1 (cos.f64 (*.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (cbrt.f64 y))) (/.f64 x (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))))) | |
| 30.9b | (/.f64 1 (cos.f64 (*.f64 (/.f64 (*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 y)) (cbrt.f64 x)))) | |
| 30.9b | (/.f64 1 (cos.f64 (*.f64 (/.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) y) (cbrt.f64 x)))) | |
| 48.1b | (/.f64 1 (cos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x 1/2)) y) (sqrt.f64 (*.f64 x 1/2))))) | |
| 30.9b | (/.f64 1 (cos.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))) | |
| 46.0b | (/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))))) | |
| 47.6b | (/.f64 1 (cos.f64 (*.f64 (sqrt.f64 x) (/.f64 1/2 (/.f64 y (sqrt.f64 x)))))) | |
| 48.1b | (/.f64 1 (cos.f64 (*.f64 (sqrt.f64 x) (/.f64 1/2 (*.f64 (cbrt.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x))))))) | |
| 31.2b | (/.f64 1 (cos.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 y (cbrt.f64 (*.f64 x 1/2))))))) | |
| 30.6b | (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) | |
| ✓ | 30.6b | (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
| 33.0b | (/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y)))))) | |
| 32.7b | (/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3)))) | |
| ▶ | 33.9b | (+.f64 1 (*.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)))) |
| 51.2b | (*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 37.4b | (*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) | |
| 31.5b | (sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) | |
| 36.1b | (log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 30.6b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) | |
| 36.1b | (log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))) | |
| 30.6b | (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3))) | |
| 30.7b | 1 |
Compiled 4002 to 3072 computations (23.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x)))) |
| ✓ | 0.2b | (/.f64 (/.f64 1/2 y) (/.f64 1 x)) |
| ✓ | 30.8b | (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x))) |
Compiled 37 to 27 computations (27% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 1/2 y) (/.f64 1 x)) |
| 0.0ms | y | @ | inf | (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x)))) |
| 0.0ms | y | @ | -inf | (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x)))) |
| 0.0ms | y | @ | inf | (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x))) |
| 0.0ms | x | @ | inf | (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 1548× | associate-/r* |
| 1128× | *-commutative |
| 1100× | associate-/l* |
| 572× | associate-/r/ |
| 492× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 71 |
| 1 | 256 | 53 |
| 2 | 3322 | 53 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x))) |
(/.f64 (/.f64 1/2 y) (/.f64 1 x)) |
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change 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((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) -1) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))))) |
| 1× | egg-herbie |
| 1524× | associate-/r/ |
| 836× | distribute-rgt-in |
| 834× | distribute-lft-in |
| 408× | associate-*r* |
| 392× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 370 | 6000 |
| 1 | 899 | 5768 |
| 2 | 3555 | 5744 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(*.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) |
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 -1 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (neg.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) 1) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) -1) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(/.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(/.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) |
(/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) |
(/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (/.f64 -1 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(/.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2))) |
(/.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) (/.f64 -1 (neg.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(/.f64 -1 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(/.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) |
(/.f64 (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(/.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 -1 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2))) (/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)))) |
(/.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 -1 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 -1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) |
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) |
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)) |
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) -1)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)) |
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) |
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))) |
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(/.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) 1) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))) |
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) |
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) |
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/3) |
(neg.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2)) |
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) |
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y)))) 1) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1 (*.f64 1/2 (/.f64 x y))) |
(*.f64 (*.f64 1/2 (/.f64 x y)) 1) |
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 1/2 y) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 1/2 y)) (*.f64 (sqrt.f64 (/.f64 1/2 y)) x)) |
(*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) (sqrt.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (cbrt.f64 x) (*.f64 (/.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (/.f64 1/2 y)) x)) |
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2)) |
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2) (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 -1 (*.f64 (/.f64 -1/2 y) x)) |
(*.f64 (neg.f64 x) (/.f64 -1/2 y)) |
(*.f64 (/.f64 -1/2 y) (neg.f64 x)) |
(*.f64 (*.f64 (/.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 1/2 y)) x) (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (*.f64 (/.f64 1/2 y) (cbrt.f64 x))) |
(*.f64 (*.f64 1/2 x) (/.f64 1 y)) |
(*.f64 (*.f64 (/.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (/.f64 1/2 y) (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (/.f64 x y) 1/2) |
(*.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 (/.f64 1 y) (sqrt.f64 x))) |
(*.f64 (*.f64 (/.f64 1 y) (sqrt.f64 x)) (*.f64 1/2 (sqrt.f64 x))) |
(*.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 x -2))) (*.f64 (/.f64 1 y) (cbrt.f64 x))) |
(*.f64 (*.f64 (/.f64 1 y) (cbrt.f64 x)) (/.f64 1/2 (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1/2 y)) x) (sqrt.f64 (/.f64 1/2 y))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 y)) (cbrt.f64 (pow.f64 x -2))) (*.f64 (sqrt.f64 (/.f64 1/2 y)) (cbrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1/2 y)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 1/2 y)) (cbrt.f64 (pow.f64 x -2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) 1) (/.f64 (cbrt.f64 (/.f64 1/2 y)) (/.f64 1 x))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 1/2 y)) (/.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (/.f64 1/2 y)) (pow.f64 x -1/2))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 1/2 y)) (pow.f64 x -1/2)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (pow.f64 x -1/2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 1 (/.f64 1 (*.f64 1/2 x))) (/.f64 1 y)) |
(*.f64 (/.f64 (*.f64 (/.f64 1/2 y) (sqrt.f64 x)) 1) (sqrt.f64 x)) |
(*.f64 (/.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (pow.f64 x -2)) y)) 1) (cbrt.f64 x)) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/2 (sqrt.f64 y))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/2 (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (/.f64 1 x)) (cbrt.f64 (/.f64 1/2 y))) |
(*.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) x))) (cbrt.f64 (/.f64 1/2 y))) |
(*.f64 (/.f64 x (neg.f64 y)) -1/2) |
(*.f64 (/.f64 (*.f64 (/.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (pow.f64 x -2)) y)) -1) (cbrt.f64 (neg.f64 x))) |
(pow.f64 (*.f64 1/2 (/.f64 x y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3) |
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 y x) 2) -1) |
(neg.f64 (*.f64 (/.f64 -1/2 y) x)) |
(sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 1/2 y)) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 x y))))) |
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3)) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 x -2)) x)) |
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y)))) |
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y)))) |
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1) |
(*.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1) |
(*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 -1 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) -1)) |
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1) |
(pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3) |
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/3) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) |
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
| Outputs |
|---|
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))) |
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) |
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384))) |
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(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) -1)) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/3) |
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) |
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 x y) (/.f64 x y)) |
Compiled 36 to 12 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 x y) (/.f64 x y)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 x y) (/.f64 x y)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 x y) (/.f64 x y)) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 x y) (/.f64 x y)) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 x y) (/.f64 x y)) |
| 1× | batch-egg-rewrite |
| 1378× | add-sqr-sqrt |
| 1364× | *-un-lft-identity |
| 1274× | add-cube-cbrt |
| 1258× | add-cbrt-cube |
| 1248× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 129 | 13 |
| 2 | 1761 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x y) (/.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (/.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (/.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (/.f64 y x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 (/.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x (/.f64 y x)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x (/.f64 y x)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x (/.f64 y x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x (/.f64 y x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) 2))))))) |
| 1× | egg-herbie |
| 1180× | associate-+l+ |
| 1136× | associate-+r+ |
| 1128× | associate-*r/ |
| 894× | associate-/r* |
| 804× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 767 |
| 1 | 226 | 767 |
| 2 | 1139 | 767 |
| 3 | 6050 | 767 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(-.f64 (+.f64 1 (pow.f64 (/.f64 x y) 2)) 1) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(/.f64 x (/.f64 y (/.f64 x y))) |
(/.f64 x (*.f64 y (/.f64 y x))) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
(/.f64 (/.f64 x y) (/.f64 y x)) |
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) |
(/.f64 1 (/.f64 (*.f64 y y) (*.f64 x x))) |
(/.f64 1 (/.f64 y (/.f64 x (/.f64 y x)))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 (/.f64 x (/.f64 y x)) y) |
(/.f64 (neg.f64 x) (*.f64 (/.f64 y x) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 y))) |
(/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 x (neg.f64 x)) (*.f64 y (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y)) |
(/.f64 (/.f64 (/.f64 x (/.f64 y x)) 1) y) |
(/.f64 (/.f64 (/.f64 x (/.f64 y x)) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 (/.f64 x (/.f64 y x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(/.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 y) (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 y y))) |
(/.f64 (neg.f64 (/.f64 x (/.f64 y x))) (neg.f64 y)) |
(pow.f64 (/.f64 x y) 2) |
(pow.f64 (pow.f64 (/.f64 x y) 2) 1) |
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 3) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 x y) 4)) |
(log.f64 (exp.f64 (pow.f64 (/.f64 x y) 2))) |
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 x y) 2))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) 2)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) 2)) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) 2))) |
| Outputs |
|---|
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(pow.f64 (/.f64 x y) 2) |
(-.f64 (+.f64 1 (pow.f64 (/.f64 x y) 2)) 1) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 x (/.f64 y (/.f64 x y))) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 x (*.f64 y (/.f64 y x))) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (/.f64 x y) (/.f64 y x)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 1 (/.f64 (*.f64 y y) (*.f64 x x))) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 1 (/.f64 y (/.f64 x (/.f64 y x)))) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (/.f64 x (/.f64 y x)) y) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (neg.f64 x) (*.f64 (/.f64 y x) (neg.f64 y))) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 y))) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (*.f64 x (neg.f64 x)) (*.f64 y (neg.f64 y))) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (/.f64 (/.f64 x (/.f64 y x)) 1) y) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (/.f64 (/.f64 x (/.f64 y x)) (sqrt.f64 y)) (sqrt.f64 y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (/.f64 (/.f64 x (/.f64 y x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 y) (/.f64 y x))) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 y y))) |
(pow.f64 (/.f64 x y) 2) |
(/.f64 (neg.f64 (/.f64 x (/.f64 y x))) (neg.f64 y)) |
(pow.f64 (/.f64 x y) 2) |
(pow.f64 (/.f64 x y) 2) |
(pow.f64 (pow.f64 (/.f64 x y) 2) 1) |
(pow.f64 (/.f64 x y) 2) |
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 3) |
(pow.f64 (/.f64 x y) 2) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3) 1/3) |
(pow.f64 (/.f64 x y) 2) |
(sqrt.f64 (pow.f64 (/.f64 x y) 4)) |
(pow.f64 (/.f64 x y) 2) |
(log.f64 (exp.f64 (pow.f64 (/.f64 x y) 2))) |
(pow.f64 (/.f64 x y) 2) |
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3)) |
(pow.f64 (/.f64 x y) 2) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2))) |
(pow.f64 (/.f64 x y) 2) |
(exp.f64 (log.f64 (pow.f64 (/.f64 x y) 2))) |
(pow.f64 (/.f64 x y) 2) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) 2)) |
(pow.f64 (/.f64 x y) 2) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) 2)) 1)) |
(pow.f64 (/.f64 x y) 2) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) 2))) |
(pow.f64 (/.f64 x y) 2) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2))) |
| ✓ | 0.2b | (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2) |
| ✓ | 10.6b | (sqrt.f64 (*.f64 1/2 (/.f64 x y))) |
| ✓ | 15.0b | (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)) |
Compiled 49 to 30 computations (38.8% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | inf | (/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2))) |
| 4.0ms | x | @ | -inf | (/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2))) |
| 3.0ms | y | @ | 0 | (/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2))) |
| 3.0ms | x | @ | inf | (/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2))) |
| 2.0ms | y | @ | -inf | (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)) |
| 1× | batch-egg-rewrite |
| 1082× | *-commutative |
| 1082× | associate-*r/ |
| 954× | associate-/r* |
| 786× | associate-*l/ |
| 592× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 70 |
| 1 | 289 | 70 |
| 2 | 3122 | 70 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)) |
(sqrt.f64 (*.f64 1/2 (/.f64 x y))) |
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2) |
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2))) |
| Outputs |
|---|
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((x neg.f64 (/.f64 (*.f64 1/2 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))))) |
| 1× | egg-herbie |
| 1168× | distribute-rgt-in |
| 1150× | distribute-lft-in |
| 1018× | associate-/l* |
| 648× | associate-*l* |
| 606× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 578 | 8361 |
| 1 | 1248 | 8103 |
| 2 | 5303 | 8103 |
| 1× | node limit |
| Inputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) |
(*.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) |
(*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (neg.f64 (neg.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(*.f64 -1 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (neg.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (neg.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) 1) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) -1) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(/.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) |
(/.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) |
(/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (/.f64 -1 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(/.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) |
(/.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (/.f64 -1 (neg.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(/.f64 -1 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(/.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) |
(/.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(/.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))))) |
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(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (*.f64 1/2 (sqrt.f64 (/.f64 x y)))) (sqrt.f64 (neg.f64 y))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2)) (cbrt.f64 y)) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 1/2 x)) (*.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y)))))) (cbrt.f64 y)) |
(/.f64 (*.f64 1/2 (/.f64 x (cbrt.f64 y))) (cbrt.f64 (*.f64 y y))) |
(/.f64 (/.f64 (*.f64 1/2 x) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y))) |
(/.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (/.f64 y x)))) (cbrt.f64 (/.f64 y x))) |
(/.f64 (/.f64 1/2 (/.f64 1 (sqrt.f64 x))) (/.f64 y (sqrt.f64 x))) |
(/.f64 (/.f64 1/2 (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 y (cbrt.f64 x))) |
(/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) 1)) (/.f64 (sqrt.f64 y) x)) |
(/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) (sqrt.f64 x))) (/.f64 (sqrt.f64 y) (sqrt.f64 x))) |
(/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 x))) |
(/.f64 (/.f64 1/2 (/.f64 (cbrt.f64 (*.f64 y y)) 1)) (/.f64 (cbrt.f64 y) x)) |
(/.f64 (/.f64 1/2 (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 x))) |
(/.f64 (/.f64 1/2 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 x -1/2) 1) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 (*.f64 x -1/2) (cbrt.f64 (*.f64 y y))) (neg.f64 (cbrt.f64 y))) |
(/.f64 (/.f64 (*.f64 x -1/2) -1) y) |
(/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y))) |
(/.f64 (/.f64 (*.f64 x -1/2) (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y))) |
(/.f64 (/.f64 (*.f64 x -1/2) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (/.f64 (*.f64 x -1/2) (neg.f64 (cbrt.f64 (*.f64 y y)))) (cbrt.f64 y)) |
(/.f64 (/.f64 (/.f64 x 2) 1) y) |
(/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y))) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) 1) (sqrt.f64 y)) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (cbrt.f64 (*.f64 y y)))) (sqrt.f64 (cbrt.f64 y))) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (cbrt.f64 (*.f64 y y)) x)) 1) (cbrt.f64 y)) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (cbrt.f64 (*.f64 y y)) x)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y))) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (cbrt.f64 (*.f64 y y)) x)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (cbrt.f64 (*.f64 y y)) x)) (cbrt.f64 (cbrt.f64 (*.f64 y y)))) (cbrt.f64 (cbrt.f64 y))) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (cbrt.f64 (*.f64 y y)) x)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y))) |
(neg.f64 (*.f64 (/.f64 x (neg.f64 y)) 1/2)) |
(neg.f64 (*.f64 1/2 (/.f64 x (neg.f64 y)))) |
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 x (neg.f64 y)))) |
(neg.f64 (/.f64 (*.f64 1/2 x) (neg.f64 y))) |
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) 1/2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 x y))))) |
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y)))) |
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y)))) |
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1) |
(*.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1) |
(*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 -1 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) -1)) |
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1) |
(pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3) |
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/3) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) |
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
| Outputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) |
(*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) |
(*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (neg.f64 (neg.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) |
(*.f64 -1 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (neg.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (neg.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) |
(*.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))) |
(/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(/.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) 1) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) |
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 -1))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) -1) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) -1)) |
(*.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) -1)) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) |
(/.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(/.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) |
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))) |
(/.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (/.f64 -1 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(/.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) |
(/.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(*.f64 (/.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))) |
(/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) |
(/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (/.f64 -1 (neg.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) |
(/.f64 -1 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(/.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(/.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(*.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))) |
(/.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))))) |
(*.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (/.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(/.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 -1 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
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(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/3) |
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) |
(fabs.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 5.5b | (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| ✓ | 6.3b | (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) |
| 30.6b | (sin.f64 (/.f64 x (*.f64 y 2))) | |
| ✓ | 30.9b | (tan.f64 (*.f64 x (/.f64 1/2 y))) |
Compiled 67 to 47 computations (29.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | x | @ | -inf | (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) |
| 1.0ms | x | @ | inf | (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) |
| 1.0ms | y | @ | 0 | (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) |
| 1.0ms | y | @ | -inf | (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) |
| 1.0ms | y | @ | inf | (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) |
| 1× | batch-egg-rewrite |
| 1042× | swap-sqr |
| 454× | distribute-lft-neg-in |
| 410× | associate-/r/ |
| 400× | distribute-rgt-neg-in |
| 358× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 77 |
| 1 | 368 | 77 |
| 2 | 4580 | 77 |
| 1× | node limit |
| Inputs |
|---|
(tan.f64 (*.f64 x (/.f64 1/2 y))) |
(cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/6) (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1/3) (pow.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) 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1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))))) |
| 1× | egg-herbie |
| 1350× | associate-+r+ |
| 1276× | +-commutative |
| 936× | associate-*r* |
| 736× | associate-*l* |
| 644× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 474 | 8570 |
| 1 | 1305 | 8348 |
| 2 | 6831 | 8348 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 1/2 (/.f64 x y)))) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 1/2 (/.f64 x y)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))) |
(-.f64 (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (pow.f64 x 2)) (pow.f64 y 7))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/384 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 4)) (pow.f64 y 7))) (*.f64 -1/92160 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 x 2))) (+.f64 (*.f64 1/92160 (pow.f64 x 7)) (*.f64 1/384 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 4)))))) (pow.f64 y 7))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))))) |
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) |
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) |
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) |
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) |
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) |
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) |
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) |
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) |
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) |
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) |
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) |
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
1 |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x)))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (*.f64 (pow.f64 y 4) x))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
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(*.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2)) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) |
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3) |
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(neg.f64 (*.f64 1 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) |
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y))) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 1/2 (/.f64 x y)))) |
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 1/2 (/.f64 x y)))) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 1/2 (/.f64 x y) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/2 (/.f64 x y))))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 1/2 (/.f64 x y)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))) |
(-.f64 (fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840))) (fma.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 3) 1/24) (/.f64 (pow.f64 y 5) (*.f64 x x))) (fma.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/16)))) |
(-.f64 (fma.f64 1/2 (/.f64 x y) (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/48 (/.f64 (pow.f64 x 5) (/.f64 (pow.f64 y 5) 1/3840)))) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (/.f64 (/.f64 (pow.f64 y 5) (*.f64 x x)) 1/24)) (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/16 (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/768)))) |
(-.f64 (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (pow.f64 x 2)) (pow.f64 y 7))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/384 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 4)) (pow.f64 y 7))) (*.f64 -1/92160 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))))) |
(-.f64 (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (fma.f64 1/2 (/.f64 x y) (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840)))) (fma.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 3) 1/24) (/.f64 (pow.f64 y 5) (*.f64 x x))) (fma.f64 -1/8 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) 1/3840) (fma.f64 -1/8 (*.f64 (*.f64 (pow.f64 x 3) 1/24) (*.f64 x x)) (*.f64 (pow.f64 x 5) 1/768))) (/.f64 (pow.f64 y 7) (*.f64 x x))) (fma.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/384 (/.f64 (*.f64 (pow.f64 x 3) 1/24) (/.f64 (pow.f64 y 7) (pow.f64 x 4))) (*.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/92160))))))) |
(-.f64 (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/48 (fma.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/645120 (fma.f64 1/2 (/.f64 x y) (/.f64 (pow.f64 x 5) (/.f64 (pow.f64 y 5) 1/3840))))) (fma.f64 -1/8 (/.f64 (pow.f64 x 3) (/.f64 (/.f64 (pow.f64 y 5) (*.f64 x x)) 1/24)) (fma.f64 -1/8 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) 1/3840) (fma.f64 (pow.f64 x 5) 1/768 (*.f64 -1/8 (*.f64 (pow.f64 x 3) (*.f64 1/24 (*.f64 x x)))))) (pow.f64 y 7)) (*.f64 x x)) (fma.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/768 (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/16 (fma.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/92160 (/.f64 (*.f64 (pow.f64 x 3) (*.f64 1/24 (pow.f64 x 4))) (/.f64 (pow.f64 y 7) 1/384)))))))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))) |
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 3) -1/24) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y))) |
(-.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 y 3) -1/24))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))) |
(fma.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24))))) (pow.f64 y 5)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 3) -1/24) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))) |
(-.f64 (-.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 y 3) -1/24))) (/.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 1/8 (*.f64 (pow.f64 x 3) (*.f64 (*.f64 x x) -1/24)))) (pow.f64 y 5))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 x 2))) (+.f64 (*.f64 1/92160 (pow.f64 x 7)) (*.f64 1/384 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 4)))))) (pow.f64 y 7))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))))) |
(fma.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24))))) (pow.f64 y 5)) (fma.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24)))))) (fma.f64 1/92160 (pow.f64 x 7) (*.f64 1/384 (*.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 3) -1/24)))))) (pow.f64 y 7)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 3) -1/24) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y))))) |
(-.f64 (-.f64 (-.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 y 3) -1/24))) (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (*.f64 x (*.f64 x (+.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 1/8 (*.f64 (pow.f64 x 3) (*.f64 (*.f64 x x) -1/24)))))) (fma.f64 (pow.f64 x 7) 1/92160 (*.f64 (pow.f64 x 4) (*.f64 1/384 (*.f64 (pow.f64 x 3) -1/24)))))) (pow.f64 y 7))) (/.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 1/8 (*.f64 (pow.f64 x 3) (*.f64 (*.f64 x x) -1/24)))) (pow.f64 y 5))) |
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) |
(cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) |
(cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) |
(cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) |
(cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) |
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(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) |
(cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) |
(cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) |
(cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) |
(cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) |
(cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) |
(cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1/3) |
(cbrt.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
1 |
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(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
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1 |
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1 |
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(/.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2)) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2)) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(neg.f64 (*.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(neg.f64 (*.f64 1 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(neg.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) |
(fabs.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y))))) |
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 15.1b | (cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
| 30.6b | (sin.f64 (/.f64 x (*.f64 y 2))) | |
| 30.7b | (cos.f64 (*.f64 x (/.f64 1/2 y))) | |
| 30.7b | (sin.f64 (*.f64 x (/.f64 1/2 y))) |
Compiled 139 to 93 computations (33.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
| 0.0ms | x | @ | -inf | (cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
| 0.0ms | y | @ | -inf | (cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
| 0.0ms | x | @ | inf | (cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
| 0.0ms | y | @ | inf | (cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
| 1× | batch-egg-rewrite |
| 1824× | add-sqr-sqrt |
| 1800× | *-un-lft-identity |
| 1684× | add-cube-cbrt |
| 1664× | add-cbrt-cube |
| 178× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 183 | 17 |
| 2 | 2255 | 17 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/6) (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 x y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 x y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))))))) |
| 1× | egg-herbie |
| 780× | *-commutative |
| 564× | associate-+r+ |
| 522× | +-commutative |
| 490× | associate-/l* |
| 484× | associate-+l+ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 442 |
| 1 | 113 | 442 |
| 2 | 325 | 442 |
| 3 | 1409 | 424 |
| 4 | 4493 | 424 |
| 5 | 7377 | 424 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 1) |
(*.f64 1 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/6) (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/6)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 1/2)) |
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 x y))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 1/3)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) |
(/.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 y)) |
(pow.f64 (*.f64 1/2 (/.f64 x y)) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 1) |
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/6) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) 3) |
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2)) |
(log.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) |
(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 x y))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) 1)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) |
| Outputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
(cbrt.f64 (/.f64 (*.f64 1/2 x) y)) |
(*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 1) |
(cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
(cbrt.f64 (/.f64 (*.f64 1/2 x) y)) |
(*.f64 1 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) |
(cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
(cbrt.f64 (/.f64 (*.f64 1/2 x) y)) |
(*.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/6) (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/6)) |
(cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
(cbrt.f64 (/.f64 (*.f64 1/2 x) y)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) 2)) |
(cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
(cbrt.f64 (/.f64 (*.f64 1/2 x) y)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) |
(cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
(cbrt.f64 (/.f64 (*.f64 1/2 x) y)) |
(*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 1/2)) |
(cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
(cbrt.f64 (/.f64 (*.f64 1/2 x) y)) |
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 x y))) |
(cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
(cbrt.f64 (/.f64 (*.f64 1/2 x) y)) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) |
(cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
(cbrt.f64 (/.f64 (*.f64 1/2 x) y)) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 1/3)) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 1/2 x) y))) (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 1/2 x) y)))) |
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 1/6) 4) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) |
(cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
(cbrt.f64 (/.f64 (*.f64 1/2 x) y)) |
(/.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 y)) |
(pow.f64 (*.f64 1/2 (/.f64 x y)) 1/3) |
(cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
(cbrt.f64 (/.f64 (*.f64 1/2 x) y)) |
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 1) |
(cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
(cbrt.f64 (/.f64 (*.f64 1/2 x) y)) |
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/6) 2) |
(cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
(cbrt.f64 (/.f64 (*.f64 1/2 x) y)) |
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) 3) |
(cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
(cbrt.f64 (/.f64 (*.f64 1/2 x) y)) |
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2)) |
(cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
(cbrt.f64 (/.f64 (*.f64 1/2 x) y)) |
(log.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) |
(cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
(cbrt.f64 (/.f64 (*.f64 1/2 x) y)) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))) |
(cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
(cbrt.f64 (/.f64 (*.f64 1/2 x) y)) |
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) |
(cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
(cbrt.f64 (/.f64 (*.f64 1/2 x) y)) |
(exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) |
(cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
(cbrt.f64 (/.f64 (*.f64 1/2 x) y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 x y))) 1/3)) |
(cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
(cbrt.f64 (/.f64 (*.f64 1/2 x) y)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) 1)) |
(cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
(cbrt.f64 (/.f64 (*.f64 1/2 x) y)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) |
(cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
(cbrt.f64 (/.f64 (*.f64 1/2 x) y)) |
Compiled 24389 to 17105 computations (29.9% saved)
113 alts after pruning (110 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 944 | 41 | 985 |
| Fresh | 24 | 69 | 93 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 3 | 6 |
| Total | 972 | 113 | 1085 |
| Status | Error | Program |
|---|---|---|
| 32.4b | (pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2) | |
| 30.6b | (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3) | |
| 52.0b | (/.f64 (pow.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1/6) 2) 3) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 37.2b | (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 3) 3) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.8b | (/.f64 (pow.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 51.6b | (/.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) 3) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.8b | (/.f64 (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) 3) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 49.8b | (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) 3/2)) 3) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| ▶ | 51.2b | (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) |
| 36.7b | (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)) | |
| 49.8b | (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) | |
| 36.7b | (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.6b | (/.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) | |
| 37.6b | (/.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 30.6b | (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) | |
| 37.1b | (/.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) 2) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.8b | (/.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 2) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 50.1b | (/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 39.6b | (/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 39.3b | (/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 37.2b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) 3)) | |
| 37.2b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3)) | |
| 57.0b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3)) | |
| 36.8b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3)) | |
| 50.1b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2) 3/2)) 3)) | |
| 51.6b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3/2)))) 3)) | |
| 39.5b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)) | |
| 36.6b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 3)) | |
| 59.3b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3)) | |
| 40.4b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (/.f64 1/2 (/.f64 y x))) | |
| 36.4b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)) | |
| 39.1b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 x (/.f64 1/2 y))) | |
| 36.4b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 49.8b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) | |
| 36.3b | (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.1b | (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) | |
| 53.2b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)) | |
| 53.3b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.6b | (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)) | |
| 36.3b | (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| ▶ | 58.5b | (/.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 49.6b | (/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)) | |
| 30.6b | (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) | |
| 33.2b | (/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)) | |
| 30.6b | (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)) | |
| 32.5b | (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))) | |
| 30.6b | (/.f64 1 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))) (/.f64 1 (*.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))))) | |
| 32.6b | (/.f64 1 (/.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2))))) | |
| 32.4b | (/.f64 1 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))) | |
| 32.7b | (/.f64 1 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2)))) | |
| 32.6b | (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) | |
| 31.5b | (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) | |
| 30.6b | (/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) | |
| 30.6b | (/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) | |
| 31.5b | (/.f64 1 (fabs.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) | |
| 30.6b | (/.f64 1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) | |
| 45.8b | (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3/2) 1/3) 2))) | |
| 45.7b | (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/4) 2) 2))) | |
| 37.9b | (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3))) | |
| 45.9b | (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y)))) 3) 2))) | |
| 56.0b | (/.f64 1 (cos.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 1/2 x)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y))) 2))) | |
| 45.8b | (/.f64 1 (cos.f64 (pow.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 y)) 2))) | |
| 55.8b | (/.f64 1 (cos.f64 (pow.f64 (/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 y) (sqrt.f64 1/2))) 2))) | |
| 45.7b | (/.f64 1 (cos.f64 (pow.f64 (*.f64 (fabs.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) 2))) | |
| 46.2b | (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3/2)) 2))) | |
| 30.9b | (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3))) | |
| 31.0b | (/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)))) | |
| 35.2b | (/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y))))) | |
| 31.2b | (/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y))))) | |
| 48.4b | (/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y))))) | |
| 30.6b | (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 x))))) | |
| 47.9b | (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 x))))) | |
| 31.0b | (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (/.f64 (cbrt.f64 y) x)))) | |
| 35.3b | (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 x))))) | |
| 30.7b | (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (/.f64 y x)))) (cbrt.f64 (/.f64 y x))))) | |
| ✓ | 30.6b | (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x)))) |
| 46.3b | (/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 x (sqrt.f64 y))) (sqrt.f64 y)))) | |
| 35.3b | (/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 x (cbrt.f64 (*.f64 y y)))) (cbrt.f64 y)))) | |
| 47.8b | (/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))))) | |
| 31.0b | (/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y))) | |
| 46.0b | (/.f64 1 (cos.f64 (/.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) x) (sqrt.f64 y)))) | |
| 30.9b | (/.f64 1 (cos.f64 (/.f64 (*.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))))) | |
| 30.8b | (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))))) | |
| 31.2b | (/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 y (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 x 1/2))))))) | |
| 30.9b | (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) | |
| 30.9b | (/.f64 1 (cos.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 x y)))) | |
| 31.1b | (/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 1/2 (cbrt.f64 (/.f64 x y)))))) | |
| 30.7b | (/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (/.f64 1/2 y)) x)))) | |
| 31.0b | (/.f64 1 (cos.f64 (*.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (cbrt.f64 y))) (/.f64 x (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))))) | |
| 30.9b | (/.f64 1 (cos.f64 (*.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)))) | |
| 30.9b | (/.f64 1 (cos.f64 (*.f64 (/.f64 (*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 y)) (cbrt.f64 x)))) | |
| 30.9b | (/.f64 1 (cos.f64 (*.f64 (/.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) y) (cbrt.f64 x)))) | |
| 30.9b | (/.f64 1 (cos.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))) | |
| 31.1b | (/.f64 1 (cos.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/2 (cbrt.f64 y))))) | |
| ▶ | 46.0b | (/.f64 1 (cos.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/2 (sqrt.f64 y))))) |
| 47.6b | (/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (/.f64 y (sqrt.f64 x))) (sqrt.f64 x)))) | |
| 35.3b | (/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (cbrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (cbrt.f64 (cbrt.f64 (*.f64 y y))))))) | |
| ▶ | 30.6b | (/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
| 34.2b | (/.f64 1 (cos.f64 (*.f64 (/.f64 -1/2 (*.f64 y (cbrt.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 x))))) | |
| 45.9b | (/.f64 1 (cos.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1/2 y)) x) (sqrt.f64 (/.f64 1/2 y))))) | |
| 31.2b | (/.f64 1 (cos.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 y (cbrt.f64 (*.f64 x 1/2))))))) | |
| 45.8b | (/.f64 1 (cos.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y)))) 4)))) | |
| ✓ | 30.6b | (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
| 33.0b | (/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y)))))) | |
| 32.7b | (/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3)))) | |
| ✓ | 33.9b | (+.f64 1 (*.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)))) |
| 37.4b | (*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) | |
| 31.5b | (sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) | |
| 36.1b | (log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| ▶ | 30.6b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
| 36.1b | (log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))) | |
| 30.6b | (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3))) | |
| 30.7b | 1 |
Compiled 4276 to 3325 computations (22.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) | |
| ✓ | 0.4b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
| ✓ | 0.7b | (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
| 30.7b | (cos.f64 (*.f64 1/2 (/.f64 x y))) |
Compiled 47 to 28 computations (40.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
| 1.0ms | x | @ | 0 | (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
| 0.0ms | y | @ | -inf | (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
| 0.0ms | x | @ | inf | (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
| 0.0ms | x | @ | -inf | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
| 1× | batch-egg-rewrite |
| 1060× | associate-*r/ |
| 1028× | *-commutative |
| 958× | associate-/r* |
| 704× | associate-*l/ |
| 630× | swap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 50 |
| 1 | 258 | 50 |
| 2 | 2909 | 50 |
| 1× | node limit |
| Inputs |
|---|
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
| Outputs |
|---|
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/.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (neg.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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(*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))))) |
| 1× | egg-herbie |
| 972× | times-frac |
| 860× | associate-/r* |
| 838× | associate-/l* |
| 674× | *-commutative |
| 584× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 272 | 5290 |
| 1 | 658 | 5122 |
| 2 | 2236 | 4960 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (exp.f64 1) 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (exp.f64 1) (pow.f64 x 2)) (pow.f64 y 2))) (exp.f64 1)) 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (exp.f64 1) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (exp.f64 1) (pow.f64 x 4)) (pow.f64 y 4))) (exp.f64 1))) 1) |
(-.f64 (+.f64 (*.f64 151/46080 (/.f64 (*.f64 (exp.f64 1) (pow.f64 x 6)) (pow.f64 y 6))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (exp.f64 1) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (exp.f64 1) (pow.f64 x 4)) (pow.f64 y 4))) (exp.f64 1)))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 1) 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (exp.f64 1)) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))))) (exp.f64 1)) (pow.f64 y 4)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (exp.f64 1))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (exp.f64 1) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/46080 (pow.f64 x 6))))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))))) (exp.f64 1)) (pow.f64 y 6)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (exp.f64 1)))) 1) |
(-.f64 (exp.f64 1) 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (exp.f64 1)) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))))) (exp.f64 1)) (pow.f64 y 4)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (exp.f64 1))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (exp.f64 1) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/46080 (pow.f64 x 6))))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))))) (exp.f64 1)) (pow.f64 y 6)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (exp.f64 1)))) 1) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(+.f64 1 (+.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) -1)) |
(+.f64 1 (-.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1)) |
(+.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 0) |
(+.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) -1) |
(+.f64 -1 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1) |
(-.f64 (+.f64 1 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 2) |
(*.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1) |
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) |
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 2) (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 1) (+.f64 1 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3) 1) (+.f64 (*.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (+.f64 1 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 1)) (+.f64 1 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3) 1)) (+.f64 (*.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (+.f64 1 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 1) 1) (+.f64 1 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3) 1) 1) (+.f64 (*.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (+.f64 1 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) |
(pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1) |
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 2) |
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 3) |
(pow.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3) 1/3) |
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 2)) |
(log.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) |
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) |
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)) |
(exp.f64 (log.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) |
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 1) |
(*.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1) |
(*.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 -1 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 -1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) -1)) |
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1) |
(/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)) |
(/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2)))) |
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 -1 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2)) (/.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2)))) |
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))) (/.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) |
(/.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) |
(/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) -1) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (*.f64 (sqrt.f64 -1) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2)) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) 1) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (/.f64 -1 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (neg.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (/.f64 -1 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (/.f64 -1 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (/.f64 -1 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (/.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) 1) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1) |
(pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3) |
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)) 1/3) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) |
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
| Outputs |
|---|
(-.f64 (exp.f64 1) 1) |
(expm1.f64 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (exp.f64 1) (pow.f64 x 2)) (pow.f64 y 2))) (exp.f64 1)) 1) |
(+.f64 (*.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x)))) (expm1.f64 1)) |
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (expm1.f64 1)) |
(fma.f64 1/8 (*.f64 (E.f64) (/.f64 (*.f64 x x) (*.f64 y y))) (expm1.f64 1)) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (exp.f64 1) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (exp.f64 1) (pow.f64 x 4)) (pow.f64 y 4))) (exp.f64 1))) 1) |
(+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 1/48 (/.f64 (E.f64) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (E.f64))) -1) |
(+.f64 (fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 1/48 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (pow.f64 x 4)) (E.f64))) -1) |
(+.f64 (expm1.f64 1) (fma.f64 1/8 (*.f64 (E.f64) (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (E.f64) (/.f64 (*.f64 1/48 (pow.f64 x 4)) (pow.f64 y 4))))) |
(-.f64 (+.f64 (*.f64 151/46080 (/.f64 (*.f64 (exp.f64 1) (pow.f64 x 6)) (pow.f64 y 6))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (exp.f64 1) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (exp.f64 1) (pow.f64 x 4)) (pow.f64 y 4))) (exp.f64 1)))) 1) |
(+.f64 (fma.f64 151/46080 (/.f64 (E.f64) (/.f64 (pow.f64 y 6) (pow.f64 x 6))) (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 1/48 (/.f64 (E.f64) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (E.f64)))) -1) |
(+.f64 (fma.f64 151/46080 (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 y 6) (E.f64))) (fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 1/48 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (pow.f64 x 4)) (E.f64)))) -1) |
(fma.f64 151/46080 (/.f64 (*.f64 (E.f64) (pow.f64 x 6)) (pow.f64 y 6)) (+.f64 (expm1.f64 1) (fma.f64 1/8 (*.f64 (E.f64) (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (E.f64) (/.f64 (*.f64 1/48 (pow.f64 x 4)) (pow.f64 y 4)))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(-.f64 (exp.f64 1) 1) |
(expm1.f64 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (exp.f64 1)) 1) |
(+.f64 (*.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x)))) (expm1.f64 1)) |
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (expm1.f64 1)) |
(fma.f64 1/8 (*.f64 (E.f64) (/.f64 (*.f64 x x) (*.f64 y y))) (expm1.f64 1)) |
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))))) (exp.f64 1)) (pow.f64 y 4)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (exp.f64 1))) 1) |
(+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 1/48 (/.f64 (E.f64) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (E.f64))) -1) |
(+.f64 (fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 1/48 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (pow.f64 x 4)) (E.f64))) -1) |
(+.f64 (expm1.f64 1) (fma.f64 1/8 (*.f64 (E.f64) (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (E.f64) (/.f64 (*.f64 1/48 (pow.f64 x 4)) (pow.f64 y 4))))) |
(-.f64 (+.f64 (/.f64 (*.f64 (exp.f64 1) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/46080 (pow.f64 x 6))))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))))) (exp.f64 1)) (pow.f64 y 6)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (exp.f64 1)))) 1) |
(+.f64 (/.f64 (fma.f64 1/128 (pow.f64 x 4) (neg.f64 (*.f64 (pow.f64 x 4) -5/384))) (/.f64 (pow.f64 y 4) (E.f64))) (-.f64 (+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) (/.f64 (fma.f64 -1 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (fma.f64 1/3072 (pow.f64 x 6) (*.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) -1/8))) (/.f64 (pow.f64 y 6) (E.f64)))) 1)) |
(+.f64 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (fma.f64 (pow.f64 x 4) 1/128 (*.f64 (pow.f64 x 4) 5/384))) (+.f64 (*.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/3072 (*.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 x 4) -5/384) -1/8))) (fma.f64 1/8 (*.f64 x (*.f64 x (*.f64 (pow.f64 x 4) -5/384))) (*.f64 (pow.f64 x 6) 7/23040))) (pow.f64 y 6)) (E.f64)) (fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (expm1.f64 1)))) |
(+.f64 (fma.f64 1/8 (*.f64 (E.f64) (/.f64 (*.f64 x x) (*.f64 y y))) (expm1.f64 1)) (*.f64 (E.f64) (+.f64 (/.f64 (*.f64 1/48 (pow.f64 x 4)) (pow.f64 y 4)) (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x 6) -5/384) -1/8) (+.f64 (*.f64 (*.f64 (pow.f64 x 6) -5/384) -1/8) (*.f64 (pow.f64 x 6) 1/46080))) (pow.f64 y 6))))) |
(-.f64 (exp.f64 1) 1) |
(expm1.f64 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (exp.f64 1)) 1) |
(+.f64 (*.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x)))) (expm1.f64 1)) |
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (expm1.f64 1)) |
(fma.f64 1/8 (*.f64 (E.f64) (/.f64 (*.f64 x x) (*.f64 y y))) (expm1.f64 1)) |
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))))) (exp.f64 1)) (pow.f64 y 4)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (exp.f64 1))) 1) |
(+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 1/48 (/.f64 (E.f64) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (E.f64))) -1) |
(+.f64 (fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 1/48 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (pow.f64 x 4)) (E.f64))) -1) |
(+.f64 (expm1.f64 1) (fma.f64 1/8 (*.f64 (E.f64) (/.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (E.f64) (/.f64 (*.f64 1/48 (pow.f64 x 4)) (pow.f64 y 4))))) |
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1 |
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(/.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) (*.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) |
(/.f64 (/.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -1/2) (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) |
(/.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) |
(/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) (*.f64 (fabs.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) |
(/.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -1/2) (*.f64 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (sqrt.f64 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))) |
(/.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -1/2) (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(/.f64 (/.f64 -1 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (neg.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
(/.f64 (/.f64 -1 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
(/.f64 (/.f64 -1 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
(/.f64 (/.f64 -1 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
(/.f64 (/.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) 1) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))) |
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2)) (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))) |
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2)) (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) |
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) |
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))) |
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2)) (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) |
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2)) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) (cbrt.f64 (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))) |
(pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
(pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) 2) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3)) 1/3) |
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3))) |
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3))) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3))) |
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
| ✓ | 0.2b | (*.f64 (/.f64 1/2 y) x) |
| ✓ | 30.7b | (cos.f64 (*.f64 (/.f64 1/2 y) x)) |
Compiled 28 to 19 computations (32.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
| 0.0ms | y | @ | inf | (cos.f64 (*.f64 (/.f64 1/2 y) x)) |
| 0.0ms | y | @ | inf | (/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
| 0.0ms | y | @ | -inf | (cos.f64 (*.f64 (/.f64 1/2 y) x)) |
| 0.0ms | x | @ | 0 | (cos.f64 (*.f64 (/.f64 1/2 y) x)) |
| 1× | batch-egg-rewrite |
| 918× | *-commutative |
| 908× | associate-*r/ |
| 638× | unswap-sqr |
| 606× | associate-*l/ |
| 592× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 53 |
| 1 | 224 | 53 |
| 2 | 2631 | 53 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 (*.f64 (/.f64 1/2 y) x)) |
(*.f64 (/.f64 1/2 y) x) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (neg.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (neg.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) 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egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))))) |
| 1× | egg-herbie |
| 846× | distribute-rgt-in |
| 832× | distribute-lft-in |
| 826× | associate-/l* |
| 446× | associate-*r* |
| 440× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 490 | 7442 |
| 1 | 1158 | 7136 |
| 2 | 4755 | 7136 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) |
(*.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(*.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)) |
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(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y))) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y))) |
(pow.f64 (*.f64 1/2 (/.f64 x y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3) |
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3) |
(neg.f64 (/.f64 (*.f64 1/2 x) (neg.f64 y))) |
(sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 1/2 y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 x y))))) |
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y)))) |
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y)))) |
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1) |
(*.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1) |
(*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 -1 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) -1)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))))) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3/2)) |
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/6)) |
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1) |
(pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2) |
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -2) |
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3) |
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/3) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) |
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
| Outputs |
|---|
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))) |
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) |
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(fma.f64 -1 (/.f64 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)))) |
(-.f64 (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 1/8 (*.f64 (pow.f64 x 6) -5/384))) (pow.f64 y 6))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384) (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 1/8 (*.f64 (pow.f64 x 6) -5/384))) (pow.f64 y 6)))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))) |
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) |
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(fma.f64 -1 (/.f64 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)))) |
(-.f64 (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 1/8 (*.f64 (pow.f64 x 6) -5/384))) (pow.f64 y 6))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384) (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 1/8 (*.f64 (pow.f64 x 6) -5/384))) (pow.f64 y 6)))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))) |
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) |
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080)))) |
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
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(*.f64 1/2 (/.f64 x y)) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 x (cbrt.f64 (sqrt.f64 y))) (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (sqrt.f64 y)))) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y))) |
(/.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (/.f64 x (cbrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(/.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y))) |
(*.f64 1/2 (/.f64 x y)) |
(pow.f64 (*.f64 1/2 (/.f64 x y)) 1) |
(*.f64 1/2 (/.f64 x y)) |
(pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2) |
(*.f64 1/2 (/.f64 x y)) |
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3) |
(*.f64 1/2 (/.f64 x y)) |
(pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3) |
(*.f64 1/2 (/.f64 x y)) |
(neg.f64 (/.f64 (*.f64 1/2 x) (neg.f64 y))) |
(*.f64 1/2 (/.f64 x y)) |
(sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 2)) |
(fabs.f64 (*.f64 1/2 (/.f64 x y))) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 x y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 1/2 (/.f64 x y)) |
(cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3)) |
(*.f64 1/2 (/.f64 x y)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 x 3))) |
(*.f64 1/2 (/.f64 x y)) |
(expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 1/2 (/.f64 x y)) |
(exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 1/2 (/.f64 x y)) |
(log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 1/2 (/.f64 x y)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(*.f64 -1 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (/.f64 -1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) -1)) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))))) |
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))))) |
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)))) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3/2)) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/6)) |
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))) |
(pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -2) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/3) |
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) |
(log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 x (sqrt.f64 y)) |
| ✓ | 0.1b | (/.f64 1/2 (sqrt.f64 y)) |
| ✓ | 0.1b | (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/2 (sqrt.f64 y))) |
| ✓ | 14.6b | (cos.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/2 (sqrt.f64 y)))) |
Compiled 47 to 21 computations (55.3% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/.f64 1/2 (sqrt.f64 y)) |
| 1.0ms | y | @ | -inf | (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/2 (sqrt.f64 y))) |
| 1.0ms | y | @ | -inf | (cos.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/2 (sqrt.f64 y)))) |
| 1.0ms | x | @ | 0 | (/.f64 x (sqrt.f64 y)) |
| 1.0ms | y | @ | -inf | (/.f64 1/2 (sqrt.f64 y)) |
| 1× | batch-egg-rewrite |
| 1458× | associate-/r* |
| 1116× | associate-/l* |
| 1100× | *-commutative |
| 776× | unswap-sqr |
| 668× | swap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 52 |
| 1 | 231 | 52 |
| 2 | 2959 | 52 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/2 (sqrt.f64 y)))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/2 (sqrt.f64 y))) |
(/.f64 1/2 (sqrt.f64 y)) |
(/.f64 x (sqrt.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2) (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))) (*.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/2 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (neg.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 (sqrt.f64 y) x) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (neg.f64 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) 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| 1× | egg-herbie |
| 1512× | associate-/l* |
| 1038× | associate-/l/ |
| 716× | associate-/r* |
| 700× | associate-*r* |
| 674× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 636 | 7995 |
| 1 | 1670 | 7541 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
1 |
(+.f64 1 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 y 2))))) |
(+.f64 (*.f64 1/384 (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 y 4)))) (+.f64 1 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 y 2)))))) |
(+.f64 (*.f64 1/384 (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 y 4)))) (+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 y 2)))) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (*.f64 (pow.f64 (sqrt.f64 -1) 12) (pow.f64 y 6))))))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
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(/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (*.f64 (sqrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (pow.f64 y 1/4))) (cbrt.f64 (pow.f64 y 1/4))) |
(/.f64 (/.f64 (/.f64 x 2) 1) y) |
(/.f64 (/.f64 (/.f64 x 2) (pow.f64 y 1/4)) (*.f64 (sqrt.f64 y) (pow.f64 y 1/4))) |
(/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (*.f64 (sqrt.f64 y) (cbrt.f64 (sqrt.f64 y)))) |
(/.f64 (/.f64 (/.f64 x 2) (*.f64 (sqrt.f64 y) (pow.f64 y 1/4))) (pow.f64 y 1/4)) |
(/.f64 (/.f64 (/.f64 x 2) (*.f64 (sqrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) 1) (cbrt.f64 y)) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y))) |
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y))) |
(pow.f64 (*.f64 (/.f64 1/2 y) x) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/2 y) x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 1/2 y) x) 3) 1/3) |
(neg.f64 (*.f64 (/.f64 x (neg.f64 (sqrt.f64 y))) (/.f64 1/2 (sqrt.f64 y)))) |
(neg.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (neg.f64 (sqrt.f64 y))))) |
(neg.f64 (/.f64 (/.f64 x (neg.f64 (sqrt.f64 y))) (*.f64 (sqrt.f64 y) 2))) |
(neg.f64 (/.f64 x (neg.f64 (/.f64 y 1/2)))) |
(neg.f64 (/.f64 (*.f64 (/.f64 x (sqrt.f64 y)) 1/2) (neg.f64 (sqrt.f64 y)))) |
(neg.f64 (/.f64 (*.f64 x 1/2) (neg.f64 y))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1/2 y) x) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 1/2 y) x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/2 y) x)))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1/2 y) x) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 3) (pow.f64 (/.f64 x (sqrt.f64 y)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1/2 y) x))) |
(exp.f64 (log.f64 (*.f64 (/.f64 1/2 y) x))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1/2 y) x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (sqrt.f64 y)))) 1) |
(*.f64 1/2 (pow.f64 y -1/2)) |
(*.f64 (/.f64 1/2 (sqrt.f64 y)) 1) |
(*.f64 1 (/.f64 1/2 (sqrt.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y))) (sqrt.f64 (/.f64 1/2 (sqrt.f64 y)))) |
(*.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y))) (cbrt.f64 (/.f64 1/4 y))) |
(*.f64 (cbrt.f64 (/.f64 1/4 y)) (cbrt.f64 (/.f64 1/2 (sqrt.f64 y)))) |
(*.f64 (pow.f64 y -1/2) 1/2) |
(*.f64 -1/2 (/.f64 -1 (sqrt.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 y 1/4)) (/.f64 1/2 (pow.f64 y 1/4))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 1/2 (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 -1 (sqrt.f64 y)) -1/2) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y)))) (cbrt.f64 (/.f64 1/2 (sqrt.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y)))) (cbrt.f64 (/.f64 1/2 (sqrt.f64 y))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 1/4 y)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 1/4 y))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y))))) (*.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 y))) (cbrt.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/4 y))) (cbrt.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y)))))) |
(pow.f64 (/.f64 1/2 (sqrt.f64 y)) 1) |
(pow.f64 (sqrt.f64 (/.f64 1/2 (sqrt.f64 y))) 2) |
(pow.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y))) 3) |
(pow.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 3) 1/3) |
(pow.f64 (*.f64 (sqrt.f64 y) 2) -1) |
(sqrt.f64 (/.f64 1/4 y)) |
(log.f64 (exp.f64 (/.f64 1/2 (sqrt.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (sqrt.f64 y))))) |
(cbrt.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1/2 (sqrt.f64 y)))) |
(exp.f64 (log.f64 (/.f64 1/2 (sqrt.f64 y)))) |
(log1p.f64 (expm1.f64 (/.f64 1/2 (sqrt.f64 y)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sqrt.f64 y)))) 1) |
(*.f64 x (pow.f64 y -1/2)) |
(*.f64 (/.f64 x (sqrt.f64 y)) 1) |
(*.f64 1 (/.f64 x (sqrt.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 (/.f64 x (sqrt.f64 y)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y -1/2))) |
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))) (cbrt.f64 (/.f64 (*.f64 x x) y))) |
(*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))) (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 y))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) y)) (cbrt.f64 (/.f64 x (sqrt.f64 y)))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (pow.f64 y -1/2))) |
(*.f64 (pow.f64 y -1/2) x) |
(*.f64 (neg.f64 x) (/.f64 -1 (sqrt.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 y -1/2)) (sqrt.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 x) (pow.f64 y -1/2)) (cbrt.f64 (*.f64 x x))) |
(*.f64 (/.f64 1 (pow.f64 y 1/4)) (/.f64 x (pow.f64 y 1/4))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 x (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 x (pow.f64 y 1/4)) (/.f64 1 (pow.f64 y 1/4))) |
(*.f64 (/.f64 x (cbrt.f64 (sqrt.f64 y))) (/.f64 1 (cbrt.f64 y))) |
(*.f64 (/.f64 -1 (sqrt.f64 y)) (neg.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sqrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 x) 1)) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 x) (cbrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (sqrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x x)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 y 1/4)) (/.f64 (cbrt.f64 x) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (cbrt.f64 x) (pow.f64 y 1/4)) (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 y 1/4))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 y)) (cbrt.f64 (/.f64 x (sqrt.f64 y)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 y)) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y)))) (cbrt.f64 (/.f64 x (sqrt.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y)))) (cbrt.f64 (/.f64 x (sqrt.f64 y))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) y)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) y))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))))) (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) y))) (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) y))) (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y)))))) |
(pow.f64 (/.f64 x (sqrt.f64 y)) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))) 3) |
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 3) 1/3) |
(pow.f64 (/.f64 (sqrt.f64 y) x) -1) |
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 y)))) |
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 y))) |
(neg.f64 (*.f64 (/.f64 x (neg.f64 (sqrt.f64 y))) 1)) |
(neg.f64 (*.f64 x (/.f64 -1 (sqrt.f64 y)))) |
(neg.f64 (*.f64 1 (/.f64 x (neg.f64 (sqrt.f64 y))))) |
(neg.f64 (/.f64 (/.f64 x (neg.f64 (sqrt.f64 y))) 1)) |
(sqrt.f64 (/.f64 (*.f64 x x) y)) |
(log.f64 (exp.f64 (/.f64 x (sqrt.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sqrt.f64 y))))) |
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3/2))) |
(expm1.f64 (log1p.f64 (/.f64 x (sqrt.f64 y)))) |
(exp.f64 (log.f64 (/.f64 x (sqrt.f64 y)))) |
(log1p.f64 (expm1.f64 (/.f64 x (sqrt.f64 y)))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (*.f64 -1/46080 (pow.f64 x 6)) (pow.f64 y 6))) (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (*.f64 -1/46080 (pow.f64 x 6)) (pow.f64 y 6))) (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)) |
1 |
(+.f64 1 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 y 2))))) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(+.f64 (*.f64 1/384 (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 y 4)))) (+.f64 1 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 y 2)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(+.f64 (*.f64 1/384 (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 y 4)))) (+.f64 1 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 y 2)))) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (*.f64 (pow.f64 (sqrt.f64 -1) 12) (pow.f64 y 6))))))) |
(fma.f64 1/384 (/.f64 (pow.f64 x 4) (*.f64 (pow.f64 y 4) (pow.f64 (sqrt.f64 -1) 8))) (+.f64 1 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) (pow.f64 (sqrt.f64 -1) 4))) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (*.f64 (pow.f64 y 6) (pow.f64 (sqrt.f64 -1) 12))))))) |
(+.f64 (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1) (fma.f64 -1/46080 (/.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (pow.f64 (sqrt.f64 -1) 12)) (*.f64 (/.f64 -1/8 y) (*.f64 (/.f64 x y) x)))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 -1/2 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 -1/2 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 -1/2 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 -1/2 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(*.f64 x (/.f64 1/2 y)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) x) |
(*.f64 x (sqrt.f64 (/.f64 1 y))) |
(*.f64 (sqrt.f64 (/.f64 1 y)) x) |
(*.f64 x (sqrt.f64 (/.f64 1 y))) |
(*.f64 (sqrt.f64 (/.f64 1 y)) x) |
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(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y)))) (cbrt.f64 (/.f64 x (sqrt.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y)))) (cbrt.f64 (/.f64 x (sqrt.f64 y))))) |
(/.f64 x (sqrt.f64 y)) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) y)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) y))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (/.f64 y x)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 x (/.f64 y x))))))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y)))) (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))))) (*.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y)))))) |
(/.f64 x (sqrt.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) y))) (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 x x) y))) (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y)))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (/.f64 y x)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y)))) (sqrt.f64 (cbrt.f64 (/.f64 x (/.f64 y x))))))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 x y) x)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y)))) (cbrt.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y)))))) |
(pow.f64 (/.f64 x (sqrt.f64 y)) 1) |
(/.f64 x (sqrt.f64 y)) |
(pow.f64 (sqrt.f64 (/.f64 x (sqrt.f64 y))) 2) |
(/.f64 x (sqrt.f64 y)) |
(pow.f64 (cbrt.f64 (/.f64 x (sqrt.f64 y))) 3) |
(/.f64 x (sqrt.f64 y)) |
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 3) 1/3) |
(/.f64 x (sqrt.f64 y)) |
(pow.f64 (/.f64 (sqrt.f64 y) x) -1) |
(/.f64 x (sqrt.f64 y)) |
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 y)))) |
(/.f64 x (sqrt.f64 y)) |
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 y))) |
(/.f64 x (sqrt.f64 y)) |
(neg.f64 (*.f64 (/.f64 x (neg.f64 (sqrt.f64 y))) 1)) |
(/.f64 x (sqrt.f64 y)) |
(neg.f64 (*.f64 x (/.f64 -1 (sqrt.f64 y)))) |
(/.f64 x (sqrt.f64 y)) |
(neg.f64 (*.f64 1 (/.f64 x (neg.f64 (sqrt.f64 y))))) |
(/.f64 x (sqrt.f64 y)) |
(neg.f64 (/.f64 (/.f64 x (neg.f64 (sqrt.f64 y))) 1)) |
(/.f64 x (sqrt.f64 y)) |
(sqrt.f64 (/.f64 (*.f64 x x) y)) |
(sqrt.f64 (/.f64 x (/.f64 y x))) |
(sqrt.f64 (*.f64 (/.f64 x y) x)) |
(log.f64 (exp.f64 (/.f64 x (sqrt.f64 y)))) |
(/.f64 x (sqrt.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sqrt.f64 y))))) |
(/.f64 x (sqrt.f64 y)) |
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 3)) |
(/.f64 x (sqrt.f64 y)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3/2))) |
(expm1.f64 (log1p.f64 (/.f64 x (sqrt.f64 y)))) |
(/.f64 x (sqrt.f64 y)) |
(exp.f64 (log.f64 (/.f64 x (sqrt.f64 y)))) |
(/.f64 x (sqrt.f64 y)) |
(log1p.f64 (expm1.f64 (/.f64 x (sqrt.f64 y)))) |
(/.f64 x (sqrt.f64 y)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.4b | (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) |
| ✓ | 5.6b | (/.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 30.6b | (sin.f64 (/.f64 x (*.f64 y 2))) | |
| 30.9b | (tan.f64 (*.f64 x (/.f64 1/2 y))) |
Compiled 78 to 56 computations (28.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 44.0ms | y | @ | 0 | (/.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 35.0ms | x | @ | inf | (/.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 14.0ms | x | @ | -inf | (/.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 2.0ms | y | @ | inf | (/.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 2.0ms | x | @ | 0 | (/.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 1× | batch-egg-rewrite |
| 1892× | associate-/l* |
| 590× | distribute-lft-in |
| 448× | associate-/r/ |
| 364× | add-sqr-sqrt |
| 350× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 56 |
| 1 | 380 | 56 |
| 2 | 4763 | 56 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 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(/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 1 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x tan.f64 (*.f64 x (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))))) |
| 1× | egg-herbie |
| 1622× | distribute-lft-in |
| 1202× | associate-/l/ |
| 1200× | associate-/r/ |
| 1056× | associate-+r+ |
| 934× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 405 | 7443 |
| 1 | 1068 | 6543 |
| 2 | 4784 | 6539 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
1 |
(+.f64 (*.f64 1/4 (/.f64 x y)) (+.f64 1 (*.f64 -1/4 (/.f64 x y)))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 x y)) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 -3/8 (pow.f64 x 3)) (+.f64 (*.f64 6 (-.f64 (+.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 1/48 (pow.f64 x 3))) (*.f64 -1/16 (pow.f64 x 3)))) (*.f64 1/4 (pow.f64 x 3)))) (*.f64 (pow.f64 y 2) x))) (+.f64 1 (*.f64 -1/4 (/.f64 x y))))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 x y)) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 -3/8 (pow.f64 x 3)) (+.f64 (*.f64 6 (-.f64 (+.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 1/48 (pow.f64 x 3))) (*.f64 -1/16 (pow.f64 x 3)))) (*.f64 1/4 (pow.f64 x 3)))) (*.f64 (pow.f64 y 2) x))) (+.f64 1 (+.f64 (*.f64 1/12 (/.f64 (+.f64 (*.f64 -3/8 (pow.f64 x 4)) (+.f64 (*.f64 24 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 1/384 (pow.f64 x 4)))) (+.f64 (*.f64 -3/16 (pow.f64 x 4)) (+.f64 (*.f64 -12 (*.f64 (-.f64 (+.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 1/48 (pow.f64 x 3))) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 3/4 (pow.f64 x 4)))))) (*.f64 (pow.f64 y 3) x))) (*.f64 -1/4 (/.f64 x y)))))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 x) (*.f64 1/4 x)) (pow.f64 x 2)) (pow.f64 y 3))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
1 |
(+.f64 (*.f64 1/4 (/.f64 x y)) (+.f64 1 (*.f64 -1/4 (/.f64 x y)))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 x y)) (+.f64 (*.f64 -1/3 (/.f64 (+.f64 (*.f64 3/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (*.f64 6 (-.f64 (+.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 1/48 (pow.f64 x 3))) (*.f64 1/16 (pow.f64 x 3)))))) (*.f64 (pow.f64 y 2) x))) (+.f64 1 (*.f64 -1/4 (/.f64 x y))))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 x y)) (+.f64 (*.f64 -1/3 (/.f64 (+.f64 (*.f64 3/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (*.f64 6 (-.f64 (+.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 1/48 (pow.f64 x 3))) (*.f64 1/16 (pow.f64 x 3)))))) (*.f64 (pow.f64 y 2) x))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/12 (/.f64 (+.f64 (*.f64 -3/8 (pow.f64 x 4)) (+.f64 (*.f64 24 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 1/384 (pow.f64 x 4)))) (+.f64 (*.f64 -3/16 (pow.f64 x 4)) (+.f64 (*.f64 3/4 (pow.f64 x 4)) (*.f64 12 (*.f64 (-.f64 (+.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 1/48 (pow.f64 x 3))) (*.f64 1/16 (pow.f64 x 3))) x)))))) x)) (*.f64 1/24 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 2))) x))) (pow.f64 y 3))) (*.f64 -1/4 (/.f64 x y)))))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 1/2 (/.f64 x y)))) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 2))) (pow.f64 y 2))) (*.f64 1/2 (/.f64 x y))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -3/8 (pow.f64 x 3)) (+.f64 (*.f64 6 (-.f64 (+.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 1/48 (pow.f64 x 3))) (*.f64 -1/16 (pow.f64 x 3)))) (*.f64 1/4 (pow.f64 x 3)))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -3/8 (pow.f64 x 3)) (+.f64 (*.f64 6 (-.f64 (+.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 1/48 (pow.f64 x 3))) (*.f64 -1/16 (pow.f64 x 3)))) (*.f64 1/4 (pow.f64 x 3)))) (pow.f64 y 3))) (+.f64 (*.f64 1/24 (/.f64 (+.f64 (*.f64 -3/8 (pow.f64 x 4)) (+.f64 (*.f64 24 (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 1/384 (pow.f64 x 4)))) (+.f64 (*.f64 -3/16 (pow.f64 x 4)) (+.f64 (*.f64 -12 (*.f64 (-.f64 (+.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 1/48 (pow.f64 x 3))) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 3/4 (pow.f64 x 4)))))) (pow.f64 y 4))) (*.f64 1/2 (/.f64 x y))))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 2))) (pow.f64 y 2))) (*.f64 1/2 (/.f64 x y))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (pow.f64 x 3)) (*.f64 6 (-.f64 (+.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 1/48 (pow.f64 x 3))) (*.f64 1/16 (pow.f64 x 3)))))) (pow.f64 y 3))))) |
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 (*.f64 1/24 (/.f64 (+.f64 (*.f64 -3/8 (pow.f64 x 4)) (+.f64 (*.f64 24 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 1/384 (pow.f64 x 4)))) (+.f64 (*.f64 -3/16 (pow.f64 x 4)) (+.f64 (*.f64 3/4 (pow.f64 x 4)) (*.f64 12 (*.f64 (-.f64 (+.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 1/48 (pow.f64 x 3))) (*.f64 1/16 (pow.f64 x 3))) x)))))) (pow.f64 y 4))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (+.f64 (*.f64 3/8 (pow.f64 x 3)) (*.f64 6 (-.f64 (+.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 1/48 (pow.f64 x 3))) (*.f64 1/16 (pow.f64 x 3)))))) (pow.f64 y 3)))))) |
(+.f64 (*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 0) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(+.f64 (*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) (*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))) |
(+.f64 (*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2))) (*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1) |
(*.f64 1 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1) |
(*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 1 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) |
(pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3) |
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1) |
(neg.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) |
(log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(+.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 0) |
(+.f64 0 (tan.f64 (*.f64 x (/.f64 1/2 y)))) |
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) |
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))) |
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))) |
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (log.f64 (-.f64 1 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) |
(-.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3))) (log.f64 (+.f64 1 (*.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (+.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) -2))))) |
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 1) |
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (log.f64 (-.f64 1 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) |
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3)))) (log.f64 (+.f64 1 (*.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (+.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) -2))))) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) 1) |
(*.f64 1 (tan.f64 (*.f64 x (/.f64 1/2 y)))) |
(*.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) |
(*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 1 (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1) |
(/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (neg.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 1 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(/.f64 -1 (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1) |
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) |
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) |
(pow.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3) |
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) |
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3)) |
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(exp.f64 (log.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1)) |
(tan.f64 (*.f64 x (/.f64 1/2 y))) |
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y))) |
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y)))) |
(+.f64 1 (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y))))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 61/46080 (pow.f64 x 6)) (pow.f64 y 6))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) |
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) |
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) |
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1 |
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1 |
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(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (neg.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (*.f64 1 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) |
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2))) |
(tan.f64 (*.f64 x (/.f64 1/2 y))) |
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) |
(tan.f64 (*.f64 x (/.f64 1/2 y))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (sin.f64 (/.f64 (*.f64 1/2 x) y)) (cos.f64 (/.f64 (*.f64 1/2 x) y))) |
(/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 1 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (sin.f64 (/.f64 (*.f64 1/2 x) y)) (cos.f64 (/.f64 (*.f64 1/2 x) y))) |
(/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(/.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (*.f64 (/.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(/.f64 -1 (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 (sin.f64 (/.f64 (*.f64 1/2 x) y)) (cos.f64 (/.f64 (*.f64 1/2 x) y))) |
(/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 1 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (neg.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (*.f64 1 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (*.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) |
(pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 1) |
(tan.f64 (*.f64 x (/.f64 1/2 y))) |
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) |
(tan.f64 (*.f64 x (/.f64 1/2 y))) |
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) |
(tan.f64 (*.f64 x (/.f64 1/2 y))) |
(pow.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3) |
(tan.f64 (*.f64 x (/.f64 1/2 y))) |
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) |
(fabs.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) |
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3)) |
(tan.f64 (*.f64 x (/.f64 1/2 y))) |
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(tan.f64 (*.f64 x (/.f64 1/2 y))) |
(exp.f64 (log.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(tan.f64 (*.f64 x (/.f64 1/2 y))) |
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 1)) |
(tan.f64 (*.f64 x (/.f64 1/2 y))) |
(tan.f64 (*.f64 x (/.f64 1/2 y))) |
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) |
(tan.f64 (*.f64 x (/.f64 1/2 y))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 5.6b | (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
| 6.3b | (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) | |
| 30.7b | (sin.f64 (*.f64 x (/.f64 1/2 y))) | |
| 30.9b | (tan.f64 (*.f64 x (/.f64 1/2 y))) |
Compiled 78 to 57 computations (26.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
| 0.0ms | y | @ | inf | (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
| 0.0ms | y | @ | -inf | (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
| 0.0ms | x | @ | inf | (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
| 1× | batch-egg-rewrite |
| 1926× | add-sqr-sqrt |
| 1902× | *-un-lft-identity |
| 1766× | add-cube-cbrt |
| 1746× | add-cbrt-cube |
| 198× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 203 | 21 |
| 2 | 2414 | 21 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/4) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))))) |
| 1× | egg-herbie |
| 1276× | associate-/l/ |
| 1038× | *-commutative |
| 842× | associate-/r/ |
| 772× | associate-*r* |
| 762× | associate-*r/ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 887 |
| 1 | 117 | 875 |
| 2 | 260 | 867 |
| 3 | 701 | 819 |
| 4 | 2922 | 819 |
| 5 | 5559 | 819 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1) |
(*.f64 1 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/4) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/4)) |
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/2)) |
(pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/2) |
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3/2) 1/3) |
(fabs.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(log.f64 (exp.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(exp.f64 (log.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
| Outputs |
|---|
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 1) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(*.f64 1 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/4) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/4)) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (cbrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) (cbrt.f64 (sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))))) |
(*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (cbrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) (cbrt.f64 (sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))))) |
(*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (fabs.f64 (cbrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x))))) (sqrt.f64 (cbrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))))) |
(*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))) |
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 3/2) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (fabs.f64 (cbrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x))))) (sqrt.f64 (cbrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))))) |
(*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))) |
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 3/2) |
(pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/2) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1/4) 2) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3/2)) |
(cbrt.f64 (pow.f64 (sin.f64 (/.f64 1/2 (/.f64 y x))) 3/2)) |
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 3/2)) |
(fabs.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(log.f64 (exp.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3/2)) |
(cbrt.f64 (pow.f64 (sin.f64 (/.f64 1/2 (/.f64 y x))) 3/2)) |
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(exp.f64 (log.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1/2)) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) |
Compiled 35692 to 25465 computations (28.7% saved)
128 alts after pruning (124 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1439 | 47 | 1486 |
| Fresh | 28 | 77 | 105 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 4 | 7 |
| Total | 1471 | 128 | 1599 |
| Status | Error | Program |
|---|---|---|
| 32.7b | (pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) 2) | |
| 30.6b | (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3) | |
| 32.4b | (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -2) | |
| 37.2b | (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 3) 3) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 49.8b | (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) 3/2)) 3) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 51.8b | (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (pow.f64 (*.f64 (fabs.f64 (cbrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x))))) (sqrt.f64 (cbrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))))) 2)) | |
| 51.9b | (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (pow.f64 (*.f64 (cbrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) (cbrt.f64 (sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))))) 2)) | |
| 51.9b | (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (pow.f64 (sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) 2)) | |
| 36.7b | (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 39.3b | (/.f64 (/.f64 (*.f64 1/2 x) y) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.6b | (/.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) | |
| 37.6b | (/.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 30.6b | (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) | |
| 37.1b | (/.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) 2) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 39.6b | (/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1) (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 58.6b | (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 37.2b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) 3)) | |
| 57.0b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3)) | |
| 36.8b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3)) | |
| 50.1b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2) 3/2)) 3)) | |
| 51.6b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3/2)))) 3)) | |
| 39.5b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)) | |
| 36.6b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 3)) | |
| 59.3b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3)) | |
| 40.4b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (/.f64 1/2 (/.f64 y x))) | |
| 36.4b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)) | |
| 39.1b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 x (/.f64 1/2 y))) | |
| 36.4b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 49.8b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) | |
| 36.3b | (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.1b | (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) | |
| 53.2b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)) | |
| 36.6b | (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)) | |
| 36.3b | (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 58.5b | (/.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 58.4b | (/.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 49.6b | (/.f64 (fabs.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 49.6b | (/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)) | |
| 30.6b | (/.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) | |
| 33.2b | (/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)) | |
| 30.6b | (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 3)) | |
| 30.6b | (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)) | |
| 32.5b | (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))) | |
| 32.6b | (/.f64 1 (/.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2))))) | |
| 32.4b | (/.f64 1 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))) | |
| 30.6b | (/.f64 1 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) 1)) | |
| 32.7b | (/.f64 1 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2)))) | |
| 32.6b | (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) | |
| 31.5b | (/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) | |
| 30.6b | (/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))) | |
| 30.6b | (/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))) | |
| 30.6b | (/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) | |
| 31.5b | (/.f64 1 (fabs.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) | |
| 30.6b | (/.f64 1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) | |
| 45.8b | (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3/2) 1/3) 2))) | |
| 45.7b | (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/4) 2) 2))) | |
| 37.9b | (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3))) | |
| 56.0b | (/.f64 1 (cos.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 1/2 x)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y))) 2))) | |
| 45.7b | (/.f64 1 (cos.f64 (pow.f64 (*.f64 (fabs.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) 2))) | |
| 46.2b | (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3/2)) 2))) | |
| 31.1b | (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)) 3))) | |
| 30.9b | (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3))) | |
| 46.2b | (/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 (*.f64 x 1/2) (*.f64 (sqrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (pow.f64 y 1/4))) (cbrt.f64 (pow.f64 y 1/4))))) | |
| 31.2b | (/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y))))) | |
| 45.8b | (/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 y) 2)) (cbrt.f64 (*.f64 (sqrt.f64 y) 2)))) (cbrt.f64 (*.f64 (sqrt.f64 y) 2))))) | |
| 31.0b | (/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)))) | |
| 35.2b | (/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y))))) | |
| 55.7b | (/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 (pow.f64 y 1/4) (sqrt.f64 x))) (/.f64 (pow.f64 y 1/4) (sqrt.f64 x))))) | |
| 48.4b | (/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y))))) | |
| 31.0b | (/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))))) | |
| 31.0b | (/.f64 1 (cos.f64 (/.f64 (/.f64 x (*.f64 (cbrt.f64 (*.f64 y 2)) (cbrt.f64 (*.f64 y 2)))) (cbrt.f64 (*.f64 y 2))))) | |
| 30.6b | (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 x))))) | |
| 47.9b | (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 x))))) | |
| 31.0b | (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (/.f64 (cbrt.f64 y) x)))) | |
| 35.3b | (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 x))))) | |
| 30.7b | (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (/.f64 y x)))) (cbrt.f64 (/.f64 y x))))) | |
| 48.3b | (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (sqrt.f64 y)) (*.f64 (/.f64 (pow.f64 y 1/4) (cbrt.f64 x)) (/.f64 (pow.f64 y 1/4) (cbrt.f64 (*.f64 x x))))))) | |
| ✓ | 30.6b | (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x)))) |
| 35.3b | (/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 x (cbrt.f64 (*.f64 y y)))) (cbrt.f64 y)))) | |
| 31.0b | (/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y))) | |
| 46.0b | (/.f64 1 (cos.f64 (/.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) (sqrt.f64 1/2)) (sqrt.f64 y)))) | |
| 30.9b | (/.f64 1 (cos.f64 (/.f64 (*.f64 x (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))))) | |
| 35.1b | (/.f64 1 (cos.f64 (/.f64 (*.f64 x (cbrt.f64 (/.f64 1/4 (*.f64 y y)))) (/.f64 (cbrt.f64 y) (cbrt.f64 1/2))))) | |
| 35.2b | (/.f64 1 (cos.f64 (/.f64 (*.f64 x (cbrt.f64 (/.f64 1/4 (*.f64 y y)))) (cbrt.f64 (*.f64 y 2))))) | |
| 30.8b | (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))))) | |
| 34.5b | (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (cbrt.f64 (*.f64 x x))) (/.f64 y (cbrt.f64 x))))) | |
| 31.2b | (/.f64 1 (cos.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 y (*.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 x 1/2))))))) | |
| 45.9b | (/.f64 1 (cos.f64 (/.f64 x (/.f64 (sqrt.f64 y) (/.f64 1/2 (sqrt.f64 y)))))) | |
| 30.9b | (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) | |
| 51.1b | (/.f64 1 (cos.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) 3) 1/3) (/.f64 1/2 (sqrt.f64 y))))) | |
| 30.9b | (/.f64 1 (cos.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 x y)))) | |
| 31.1b | (/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 1/2 (cbrt.f64 (/.f64 x y)))))) | |
| 30.7b | (/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (/.f64 1/2 y)) x)))) | |
| 30.9b | (/.f64 1 (cos.f64 (*.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)))) | |
| 30.9b | (/.f64 1 (cos.f64 (*.f64 (/.f64 (*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 y)) (cbrt.f64 x)))) | |
| 30.9b | (/.f64 1 (cos.f64 (*.f64 (/.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) y) (cbrt.f64 x)))) | |
| 31.1b | (/.f64 1 (cos.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/2 (cbrt.f64 y))))) | |
| 47.4b | (/.f64 1 (cos.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 y)) 3) 1/3)))) | |
| 46.2b | (/.f64 1 (cos.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 (cbrt.f64 (/.f64 1/2 (sqrt.f64 y))) 3)))) | |
| 50.0b | (/.f64 1 (cos.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (log.f64 (exp.f64 (/.f64 1/2 (sqrt.f64 y))))))) | |
| 46.2b | (/.f64 1 (cos.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (exp.f64 (log.f64 (/.f64 1/2 (sqrt.f64 y))))))) | |
| 47.6b | (/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (/.f64 y (sqrt.f64 x))) (sqrt.f64 x)))) | |
| 35.3b | (/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (cbrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (cbrt.f64 (cbrt.f64 (*.f64 y y))))))) | |
| ✓ | 30.6b | (/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
| 46.0b | (/.f64 1 (cos.f64 (*.f64 (*.f64 (pow.f64 y -1/2) x) (/.f64 1/2 (sqrt.f64 y))))) | |
| 48.3b | (/.f64 1 (cos.f64 (*.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 y)) (cbrt.f64 x)) (/.f64 1/2 (sqrt.f64 y))))) | |
| 45.9b | (/.f64 1 (cos.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1/2 y)) x) (sqrt.f64 (/.f64 1/2 y))))) | |
| 48.0b | (/.f64 1 (cos.f64 (*.f64 (expm1.f64 (log1p.f64 (/.f64 x (sqrt.f64 y)))) (/.f64 1/2 (sqrt.f64 y))))) | |
| 31.2b | (/.f64 1 (cos.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 y (cbrt.f64 (*.f64 x 1/2))))))) | |
| 45.8b | (/.f64 1 (cos.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y)))) 4)))) | |
| ✓ | 30.6b | (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
| 33.0b | (/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 1/2 y) x))))) | |
| 32.7b | (/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3)))) | |
| 30.6b | (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) 3))) | |
| 33.7b | (+.f64 (*.f64 1/4 (/.f64 x y)) (+.f64 1 (*.f64 -1/4 (/.f64 x y)))) | |
| ✓ | 33.9b | (+.f64 1 (*.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)))) |
| 58.5b | (*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))) | |
| 37.4b | (*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) | |
| 31.5b | (sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) | |
| 31.1b | (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 3)) | |
| 30.6b | (log1p.f64 (+.f64 1 (-.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1))) | |
| 30.8b | (log1p.f64 (log1p.f64 (expm1.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) | |
| 30.8b | (log1p.f64 (log.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) | |
| 30.6b | (log1p.f64 (expm1.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)))) | |
| 30.6b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 36.1b | (log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y))))))) | |
| 30.6b | (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3))) | |
| 30.7b | 1 |
Compiled 2348 to 1829 computations (22.1% saved)
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)))) |
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)))) |
(+.f64 (*.f64 1/4 (/.f64 x y)) (+.f64 1 (*.f64 -1/4 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x)))) |
(/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)) |
(/.f64 1 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1)) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 x (/.f64 1/2 y))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (/.f64 1/2 (/.f64 y x))) |
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (/.f64 (*.f64 1/2 x) y) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 1 (fabs.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(/.f64 1 (fabs.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(/.f64 1 (fma.f64 -1/8 (pow.f64 (/.f64 x y) 2) 1)) |
(/.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)) |
(/.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) |
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -2) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 1/2 y) x))))) |
(/.f64 1 (expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))) |
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))))) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) 2) |
(cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3))) |
(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)) 3))) |
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3)))) |
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 x y)))) |
(/.f64 1 (cos.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) x) y))) |
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3))) |
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1/2 y) x)) 3))) |
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2))) |
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)) |
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x))) 3)) |
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3) |
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3) |
(/.f64 1 (cos.f64 (*.f64 (sqrt.f64 x) (/.f64 1/2 (/.f64 y (sqrt.f64 x)))))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (/.f64 y (sqrt.f64 x))) (sqrt.f64 x)))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/2 (sqrt.f64 y))))) |
(/.f64 1 (cos.f64 (/.f64 x (/.f64 (sqrt.f64 y) (/.f64 1/2 (sqrt.f64 y)))))) |
(/.f64 1 (cos.f64 (/.f64 (*.f64 (/.f64 1/2 (sqrt.f64 y)) x) (sqrt.f64 y)))) |
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3))) |
(/.f64 1 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 (/.f64 1/2 y) x)))) 1)) |
(/.f64 1 (cos.f64 (*.f64 (*.f64 (pow.f64 y -1/2) x) (/.f64 1/2 (sqrt.f64 y))))) |
(log1p.f64 (+.f64 1 (-.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1))) |
(/.f64 1 (cos.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 1/2 y)) x) (sqrt.f64 (/.f64 1/2 y))))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 x 1/2)) y) (sqrt.f64 (*.f64 x 1/2))))) |
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (cbrt.f64 (*.f64 x x))) (/.f64 y (cbrt.f64 x))))) |
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x -1/2) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y))))) |
(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y))))) |
(/.f64 (fabs.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (fabs.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (fabs.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)) |
(pow.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) -1) |
(/.f64 1 (cos.f64 (/.f64 (*.f64 x (cbrt.f64 (/.f64 1/4 (*.f64 y y)))) (cbrt.f64 (*.f64 y 2))))) |
(/.f64 (/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (/.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) |
(/.f64 (/.f64 -1 (/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3/2)) 2))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/2 (cbrt.f64 y))))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) y) (cbrt.f64 x)))) |
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))))) |
(/.f64 1 (cos.f64 (/.f64 (/.f64 (/.f64 x 2) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)))) |
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/4) 2) 2))) |
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3/2) 1/3) 2))) |
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 -1/2 (*.f64 y (cbrt.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 x))))) |
(/.f64 1 (cos.f64 (/.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) (sqrt.f64 1/2)) (sqrt.f64 y)))) |
(/.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)))) |
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (/.f64 1/2 y)) x)))) |
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 1/2 (cbrt.f64 (/.f64 x y)))))) |
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 x y) 2))) (cbrt.f64 (/.f64 y x))))) |
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (/.f64 y (cbrt.f64 x))))) |
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) (/.f64 (cbrt.f64 y) x)))) |
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3)) (sin.f64 (/.f64 x (*.f64 y 2)))) |
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(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 3)) |
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (pow.f64 (*.f64 (cbrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))) (cbrt.f64 (sqrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))))) 2)) |
(/.f64 1 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2)))) |
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))))) |
(/.f64 1 (/.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2))))) |
(/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2)) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))) |
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (*.f64 (/.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 2) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) 2) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sin.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3) 2) (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (pow.f64 (*.f64 (fabs.f64 (cbrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x))))) (sqrt.f64 (cbrt.f64 (sin.f64 (/.f64 1/2 (/.f64 y x)))))) 2)) |
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (sqrt.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 1 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y)))))) (cbrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))) (/.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (/.f64 x y))))))))) |
(/.f64 1 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2)))) (/.f64 1 (*.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (/.f64 x y)) 1/2))))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)))))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))) (/.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3/2)))) 3)) |
| Outputs |
|---|
(/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x)))) |
1 |
5 calls:
| 339.0ms | (*.f64 y 2) |
| 318.0ms | y |
| 116.0ms | x |
| 115.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 93.0ms | (/.f64 x (*.f64 y 2)) |
| Error | Segments | Branch |
|---|---|---|
| 30.6b | 1 | x |
| 29.6b | 2 | y |
| 29.3b | 2 | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 30.6b | 1 | (/.f64 x (*.f64 y 2)) |
| 29.6b | 2 | (*.f64 y 2) |
Compiled 4027 to 2825 computations (29.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.7696839390235928 | 1.7892726565038406 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)))) |
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)))) |
(+.f64 (*.f64 1/4 (/.f64 x y)) (+.f64 1 (*.f64 -1/4 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
| Outputs |
|---|
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
1 |
(/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) |
2 calls:
| 14.0ms | y |
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 30.6b | 1 | x |
| 29.4b | 3 | y |
Compiled 76 to 50 computations (34.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 3.072666079252222e-34 | 2.827770340883565e-33 |
| 59.0ms | -4.050760266443428e-69 | -4.45912469031743e-82 |
| 29.0ms | 64× | body | 1024 | valid |
| 27.0ms | 33× | body | 2048 | valid |
| 21.0ms | 127× | body | 256 | valid |
| 11.0ms | 32× | body | 512 | valid |
Compiled 260 to 223 computations (14.2% saved)
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)))) |
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)))) |
(+.f64 (*.f64 1/4 (/.f64 x y)) (+.f64 1 (*.f64 -1/4 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
| Outputs |
|---|
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
1 |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
2 calls:
| 11.0ms | y |
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 30.6b | 1 | x |
| 29.5b | 3 | y |
Compiled 52 to 32 computations (38.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 3.9647027207257783e+244 | 3.1245001209288273e+252 |
| 64.0ms | -4.050760266443428e-69 | -4.45912469031743e-82 |
| 35.0ms | 208× | body | 256 | valid |
| 23.0ms | 32× | body | 2048 | valid |
| 22.0ms | 48× | body | 1024 | valid |
| 5.0ms | 16× | body | 512 | valid |
Compiled 305 to 262 computations (14.1% saved)
Total -8.8b remaining (-28.7%)
Threshold costs -8.8b (-28.7%)
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)))) |
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)))) |
(+.f64 (*.f64 1/4 (/.f64 x y)) (+.f64 1 (*.f64 -1/4 (/.f64 x y)))) |
| Outputs |
|---|
1 |
2 calls:
| 4.0ms | y |
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 30.7b | 1 | x |
| 30.7b | 1 | y |
Compiled 44 to 27 computations (38.6% saved)
| 1× | egg-herbie |
| 6× | *-commutative |
| 2× | 1-exp |
| 2× | if-if-or-not |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 192 |
| 1 | 53 | 192 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 8016407336719483/4503599627370496) (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x)))) 1) |
(if (<=.f64 y -8351847502971393/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (if (<=.f64 y 1461501637330903/730750818665451459101842416358141509827966271488) 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(if (<=.f64 y -1942668892225729/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176) (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (if (<=.f64 y 40000000000000002986023025993267830985311812004784623726521376004804618285431969451685978132299973122979161252805197687658703713382973633053438580540263602646031545549964753416721480781088915477799249620779385862645868902359563384333415575715840) 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
1 |
| Outputs |
|---|
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 8016407336719483/4503599627370496) (/.f64 1 (cos.f64 (/.f64 (/.f64 1/2 y) (/.f64 1 x)))) 1) |
(if (<=.f64 y -8351847502971393/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (if (<=.f64 y 1461501637330903/730750818665451459101842416358141509827966271488) 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(if (<=.f64 y -1942668892225729/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176) (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (if (<=.f64 y 40000000000000002986023025993267830985311812004784623726521376004804618285431969451685978132299973122979161252805197687658703713382973633053438580540263602646031545549964753416721480781088915477799249620779385862645868902359563384333415575715840) 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(if (or (<=.f64 y -1942668892225729/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176) (not (<=.f64 y 40000000000000002986023025993267830985311812004784623726521376004804618285431969451685978132299973122979161252805197687658703713382973633053438580540263602646031545549964753416721480781088915477799249620779385862645868902359563384333415575715840))) (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1) |
1 |
Compiled 79 to 63 computations (20.3% saved)
Compiled 73 to 56 computations (23.3% saved)
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