Time bar (total: 9.0s)
| 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 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 6 |
| 48.3% | 43.7% | 46.8% | 0.1% | 9.4% | 0% | 0% | 7 |
| 52.6% | 46.8% | 42.1% | 0.1% | 10.9% | 0% | 0% | 8 |
| 56.1% | 46.8% | 36.7% | 0.1% | 16.4% | 0% | 0% | 9 |
| 58.8% | 48.4% | 34% | 0.1% | 17.6% | 0% | 0% | 10 |
| 60.9% | 48.4% | 31% | 0.1% | 20.5% | 0% | 0% | 11 |
| 62.5% | 49.2% | 29.6% | 0.1% | 21.2% | 0% | 0% | 12 |
Compiled 10 to 7 computations (30% saved)
| 1.1s | 6912× | body | 256 | valid |
| 906.0ms | 2025× | body | 1024 | infinite |
| 366.0ms | 636× | body | 1024 | valid |
| 267.0ms | 986× | body | 512 | infinite |
| 248.0ms | 1595× | body | 256 | infinite |
| 217.0ms | 708× | body | 512 | valid |
| 2× | egg-herbie |
| 1416× | associate-/r* |
| 1204× | associate-*l/ |
| 1180× | fma-def |
| 916× | *-commutative |
| 780× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 42 |
| 1 | 30 | 42 |
| 2 | 69 | 42 |
| 3 | 146 | 42 |
| 4 | 333 | 42 |
| 5 | 823 | 42 |
| 6 | 2723 | 42 |
| 7 | 6943 | 42 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 y) (sinh.f64 x)) y) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 (sin.f64 y) (sinh.f64 x)) y) |
(/.f64 (sin.f64 y) (/.f64 y (sinh.f64 x))) |
(*.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x)) |
(*.f64 (sinh.f64 x) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (sinh.f64 x) y)) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 1366× | associate-*r* |
| 1204× | fma-neg |
| 980× | associate-/l* |
| 772× | associate-*l* |
| 768× | associate-*r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 18 | 21 |
| 2 | 39 | 21 |
| 3 | 79 | 21 |
| 4 | 175 | 21 |
| 5 | 423 | 21 |
| 6 | 1383 | 21 |
| 7 | 5708 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
Compiled 51 to 16 computations (68.6% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 | 4 | 7 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 3 | 5 | 8 |
| Status | Error | Program |
|---|---|---|
| ▶ | 15.5b | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| ▶ | 0.1b | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| ▶ | 0.8b | (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
| ▶ | 0.2b | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
Compiled 36 to 24 computations (33.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (sinh.f64 y) x) |
| ✓ | 0.0b | (sinh.f64 y) |
| ✓ | 0.2b | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
Compiled 19 to 6 computations (68.4% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | y | @ | 0 | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 2.0ms | x | @ | -inf | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 2.0ms | y | @ | -inf | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 1.0ms | y | @ | inf | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 1× | batch-egg-rewrite |
| 1116× | associate-*r/ |
| 936× | *-commutative |
| 864× | associate-/r* |
| 836× | associate-*l/ |
| 692× | unswap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 37 |
| 1 | 187 | 37 |
| 2 | 2466 | 37 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(sinh.f64 y) |
(/.f64 (sinh.f64 y) x) |
| Outputs |
|---|
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egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) x) (cbrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x))) (cbrt.f64 (/.f64 (sinh.f64 y) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x))) (cbrt.f64 (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)))) (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sinh.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sinh.f64 y) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (sinh.f64 y) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) x))))))) |
| 1× | egg-herbie |
| 1252× | associate-*r* |
| 1200× | associate-*l* |
| 962× | associate-/l/ |
| 956× | times-frac |
| 650× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 583 | 7711 |
| 1 | 1477 | 7507 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y (sin.f64 x)) x) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
y |
(+.f64 y (*.f64 1/6 (pow.f64 y 3))) |
(+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))) |
(+.f64 (*.f64 1/5040 (pow.f64 y 7)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 1/6 (/.f64 (pow.f64 y 3) x))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 3) x)) (*.f64 1/120 (/.f64 (pow.f64 y 5) x)))) |
(+.f64 (*.f64 1/5040 (/.f64 (pow.f64 y 7) x)) (+.f64 (/.f64 y x) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 3) x)) (*.f64 1/120 (/.f64 (pow.f64 y 5) x))))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) 1) |
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 1) |
(/.f64 1 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(/.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (sinh.f64 y)))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (sinh.f64 y)) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 x (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))))) |
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (sinh.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (/.f64 x (sinh.f64 y)) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 x (*.f64 (sin.f64 x) (cbrt.f64 (sinh.f64 y))))) |
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) |
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 x 1)) |
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (/.f64 x (sin.f64 x)) 1/2)) |
(/.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 x (sin.f64 x)) 2)) |
(/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (/.f64 x (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) (/.f64 x (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (sqrt.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y))) |
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 x (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) (+.f64 x x)) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) (cbrt.f64 x)) |
(/.f64 (*.f64 -2 (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) -2)) |
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (/.f64 x (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sinh.f64 y))))) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sinh.f64 y))) |
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 (sinh.f64 y) 2) x)) 2) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) -1) (/.f64 x (neg.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 1 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x)))) (sqrt.f64 x)) |
(/.f64 (*.f64 1 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)))) (cbrt.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) (sqrt.f64 x)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) (cbrt.f64 x)) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) -1) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) 1) (sqrt.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (sqrt.f64 (neg.f64 (sinh.f64 y)))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) 1) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (cbrt.f64 (neg.f64 (sinh.f64 y)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sin.f64 x)) (sqrt.f64 x)) |
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(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) x))) |
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) x))) |
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) x))) |
| Outputs |
|---|
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (fma.f64 1/5040 (/.f64 (pow.f64 y 7) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (fma.f64 1/5040 (/.f64 (pow.f64 y 7) (/.f64 x (sin.f64 x))) (*.f64 (/.f64 y x) (sin.f64 x))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 x (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 x (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (fma.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
y |
(+.f64 y (*.f64 1/6 (pow.f64 y 3))) |
(+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))) |
(fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))) |
(+.f64 (*.f64 1/5040 (pow.f64 y 7)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))) |
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 1/6 (/.f64 (pow.f64 y 3) x))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 3) x)) (*.f64 1/120 (/.f64 (pow.f64 y 5) x)))) |
(+.f64 (/.f64 y x) (fma.f64 1/6 (/.f64 (pow.f64 y 3) x) (*.f64 1/120 (/.f64 (pow.f64 y 5) x)))) |
(+.f64 (*.f64 1/5040 (/.f64 (pow.f64 y 7) x)) (+.f64 (/.f64 y x) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 3) x)) (*.f64 1/120 (/.f64 (pow.f64 y 5) x))))) |
(fma.f64 1/5040 (/.f64 (pow.f64 y 7) x) (+.f64 (/.f64 y x) (fma.f64 1/6 (/.f64 (pow.f64 y 3) x) (*.f64 1/120 (/.f64 (pow.f64 y 5) x))))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) 1) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 1) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 1 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (sinh.f64 y)))) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (sinh.f64 y)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 x (sinh.f64 y))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 x (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))))) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (sinh.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (sinh.f64 y))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (/.f64 x (sinh.f64 y)) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y)))) |
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(/.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 x)))) |
(*.f64 (sinh.f64 y) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x))) |
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(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) -1) (neg.f64 x)) |
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(/.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) 1) (sqrt.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
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(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (sinh.f64 y)))) |
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(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (cbrt.f64 (neg.f64 (sinh.f64 y)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (/.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 (sinh.f64 y))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2) (*.f64 (sin.f64 x) (cbrt.f64 (neg.f64 (sinh.f64 y))))) (cbrt.f64 (neg.f64 x))) |
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(/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 x)))) |
(*.f64 (sinh.f64 y) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (sin.f64 x)) (cbrt.f64 x)) |
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(sinh.f64 y) |
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(sinh.f64 y) |
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(sinh.f64 y) |
(pow.f64 (sinh.f64 y) 1) |
(sinh.f64 y) |
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2) |
(sinh.f64 y) |
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(sinh.f64 y) |
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3) |
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(sinh.f64 y) |
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(fabs.f64 (sinh.f64 y)) |
(log.f64 (exp.f64 (sinh.f64 y))) |
(sinh.f64 y) |
(log.f64 (+.f64 1 (expm1.f64 (sinh.f64 y)))) |
(sinh.f64 y) |
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(sinh.f64 y) |
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(sinh.f64 y) |
(exp.f64 (log.f64 (sinh.f64 y))) |
(sinh.f64 y) |
(log1p.f64 (expm1.f64 (sinh.f64 y))) |
(sinh.f64 y) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) x))) 1) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (sinh.f64 y) (pow.f64 x -1)) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 (sinh.f64 y) x) 1) |
(/.f64 (sinh.f64 y) x) |
(*.f64 1 (/.f64 (sinh.f64 y) x)) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sqrt.f64 (sinh.f64 y)) x)) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (/.f64 (sinh.f64 y) x))) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (cbrt.f64 (sinh.f64 y)) x)) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) x))) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (pow.f64 x -1) (sinh.f64 y)) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 x)) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) x) (sqrt.f64 (sinh.f64 y))) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) x) (/.f64 (sqrt.f64 (sinh.f64 y)) 1)) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) x) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1)) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 -1 x) (neg.f64 (sinh.f64 y))) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) x)) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) x)) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) x))) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) x) (cbrt.f64 (sinh.f64 y))) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y))) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x))) (cbrt.f64 (/.f64 (sinh.f64 y) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x))) (cbrt.f64 (/.f64 (sinh.f64 y) x)))) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)))) (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x))))) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))) (cbrt.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x))))) |
(pow.f64 (/.f64 (sinh.f64 y) x) 1) |
(/.f64 (sinh.f64 y) x) |
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2) |
(/.f64 (sinh.f64 y) x) |
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 3) |
(/.f64 (sinh.f64 y) x) |
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3) 1/3) |
(/.f64 (sinh.f64 y) x) |
(pow.f64 (/.f64 x (sinh.f64 y)) -1) |
(/.f64 (sinh.f64 y) x) |
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 x))) |
(/.f64 (sinh.f64 y) x) |
(neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) x)) |
(/.f64 (sinh.f64 y) x) |
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) 1)) |
(/.f64 (sinh.f64 y) x) |
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 -1 x))) |
(/.f64 (sinh.f64 y) x) |
(neg.f64 (*.f64 1 (/.f64 (sinh.f64 y) (neg.f64 x)))) |
(/.f64 (sinh.f64 y) x) |
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 2)) |
(fabs.f64 (/.f64 (sinh.f64 y) x)) |
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) x))) |
(/.f64 (sinh.f64 y) x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) x)))) |
(/.f64 (sinh.f64 y) x) |
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3)) |
(/.f64 (sinh.f64 y) x) |
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) x))) |
(/.f64 (sinh.f64 y) x) |
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) x))) |
(/.f64 (sinh.f64 y) x) |
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) x))) |
(/.f64 (sinh.f64 y) x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 x (sinh.f64 y)) |
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.8b | (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
Compiled 19 to 6 computations (68.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
| 1.0ms | y | @ | inf | (/.f64 x (sinh.f64 y)) |
| 0.0ms | y | @ | -inf | (/.f64 x (sinh.f64 y)) |
| 0.0ms | x | @ | -inf | (/.f64 x (sinh.f64 y)) |
| 0.0ms | x | @ | 0 | (/.f64 x (sinh.f64 y)) |
| 1× | batch-egg-rewrite |
| 1618× | associate-*r/ |
| 1528× | associate-/l* |
| 1094× | associate-*l/ |
| 1026× | *-commutative |
| 538× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 193 | 32 |
| 2 | 2707 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 x (sinh.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 (sinh.f64 y) x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))) (/.f64 (sqrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x 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#<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (sinh.f64 y)))))))) |
| 1× | egg-herbie |
| 1074× | distribute-lft-in |
| 1066× | distribute-rgt-in |
| 620× | distribute-lft-neg-in |
| 558× | distribute-rgt-neg-in |
| 506× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 386 | 6047 |
| 1 | 1082 | 4695 |
| 2 | 4300 | 4607 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 x y) |
(+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y)) |
(+.f64 (*.f64 -1/6 (*.f64 y x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x)))) (/.f64 x y))) |
(+.f64 (*.f64 -1/6 (*.f64 y x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 5) (+.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/6 (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x))) (*.f64 1/5040 x))))) (/.f64 x y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (cbrt.f64 (sinh.f64 y)) (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) x) (/.f64 (sin.f64 x) 1)) |
(*.f64 (neg.f64 (sin.f64 x)) (*.f64 -1 (/.f64 (sinh.f64 y) x))) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (sin.f64 x) x)) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)) (/.f64 (sqrt.f64 (sin.f64 x)) 1)) |
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1)) |
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x)) |
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x (sinh.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2))) |
(*.f64 (/.f64 1 (neg.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (sinh.f64 y))) |
(*.f64 (*.f64 -1 (/.f64 (sinh.f64 y) x)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x (sinh.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) (sinh.f64 y))) |
(*.f64 (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) (sinh.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x (sinh.f64 y))))) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x (sinh.f64 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (sinh.f64 y))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) -1) (neg.f64 (/.f64 (sinh.f64 y) x))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sinh.f64 y)))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) 1) (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) -1) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) -1) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (neg.f64 x))) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 x)) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x 1)) (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) -1) (neg.f64 (/.f64 (sinh.f64 y) x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) 1) (sqrt.f64 (/.f64 (sinh.f64 y) x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) 1) (cbrt.f64 (/.f64 (sinh.f64 y) x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (cbrt.f64 x)) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 (sinh.f64 y)))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3) |
(pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) (sinh.f64 y)))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sinh.f64 y)))) 1) |
(*.f64 x (/.f64 1 (sinh.f64 y))) |
(*.f64 (/.f64 x (sinh.f64 y)) 1) |
(*.f64 1 (/.f64 x (sinh.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (sqrt.f64 (/.f64 x (sinh.f64 y)))) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) |
(*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) |
(*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sinh.f64 y))) |
(*.f64 (/.f64 1 (sinh.f64 y)) x) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sinh.f64 y)))) |
(*.f64 2 (/.f64 x (*.f64 (sinh.f64 y) 2))) |
(*.f64 (/.f64 (sqrt.f64 x) (sinh.f64 y)) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (sinh.f64 y)) (/.f64 (sqrt.f64 x) 1)) |
(*.f64 (/.f64 (cbrt.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (cbrt.f64 x) (sinh.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (/.f64 x (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 x 1) (/.f64 1 (sinh.f64 y))) |
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(*.f64 (/.f64 1 (*.f64 (sinh.f64 y) 2)) (+.f64 x x)) |
(*.f64 (/.f64 x (*.f64 (sinh.f64 y) 2)) 2) |
(*.f64 -1 (/.f64 (neg.f64 x) (sinh.f64 y))) |
(*.f64 (/.f64 1 (neg.f64 (sinh.f64 y))) (neg.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sinh.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sinh.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) 1) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y)) (cbrt.f64 x)) |
(*.f64 (/.f64 x (neg.f64 (*.f64 (sinh.f64 y) 2))) -2) |
(*.f64 (/.f64 1 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (sinh.f64 y) 2))) 2) |
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 x 1) (*.f64 (sinh.f64 y) 2)) 2) |
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (*.f64 (sinh.f64 y) 2))) -2) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2)) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2)) |
(pow.f64 (/.f64 x (sinh.f64 y)) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 3) |
(pow.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3) 1/3) |
(pow.f64 (/.f64 (sinh.f64 y) x) -1) |
(neg.f64 (/.f64 x (neg.f64 (sinh.f64 y)))) |
(sqrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 2)) |
(log.f64 (exp.f64 (/.f64 x (sinh.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sinh.f64 y))))) |
(cbrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sinh.f64 y) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (sinh.f64 y)))) |
(exp.f64 (log.f64 (/.f64 x (sinh.f64 y)))) |
(log1p.f64 (expm1.f64 (/.f64 x (sinh.f64 y)))) |
| Outputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 -1/12 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 x x))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 (*.f64 x x) -1/12))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/240) (pow.f64 x 4) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 (*.f64 x x) -1/12) (*.f64 (pow.f64 x 4) 1/240)))) |
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(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sinh.f64 y)))) 1) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 x (/.f64 1 (sinh.f64 y))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 x (sinh.f64 y)) 1) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 1 (/.f64 x (sinh.f64 y))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (sqrt.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sinh.f64 y))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 1 (sinh.f64 y)) x) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sinh.f64 y)))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (*.f64 (sinh.f64 y) 2))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 x) (sinh.f64 y)) (sqrt.f64 x)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 x) (sinh.f64 y)) (/.f64 (sqrt.f64 x) 1)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (cbrt.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (cbrt.f64 x) (sinh.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (/.f64 x (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (/.f64 x 1) (/.f64 1 (sinh.f64 y))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (/.f64 1 (*.f64 (sinh.f64 y) 2)) (+.f64 x x)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 x (*.f64 (sinh.f64 y) 2)) 2) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 -1 (/.f64 (neg.f64 x) (sinh.f64 y))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 1 (neg.f64 (sinh.f64 y))) (neg.f64 x)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sinh.f64 y))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sinh.f64 y))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) 1) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y)) (cbrt.f64 x)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 x (neg.f64 (*.f64 (sinh.f64 y) 2))) -2) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 1 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 (sinh.f64 y) 2))) 2) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (sinh.f64 y))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 x 1) (*.f64 (sinh.f64 y) 2)) 2) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (*.f64 (sinh.f64 y) 2))) -2) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2)) |
(*.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2)) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (*.f64 2 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2)) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) (sqrt.f64 2)) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2)) |
(*.f64 (/.f64 x (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 2)) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (cbrt.f64 2)) |
(*.f64 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (*.f64 2 (sinh.f64 y))))) (cbrt.f64 2)) |
(pow.f64 (/.f64 x (sinh.f64 y)) 1) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(pow.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) 2) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 3) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(pow.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3) 1/3) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(pow.f64 (/.f64 (sinh.f64 y) x) -1) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(neg.f64 (/.f64 x (neg.f64 (sinh.f64 y)))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(sqrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 2)) |
(fabs.f64 (/.f64 x (sinh.f64 y))) |
(log.f64 (exp.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sinh.f64 y))))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(cbrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3)) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sinh.f64 y) 3))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(expm1.f64 (log1p.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(exp.f64 (log.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(log1p.f64 (expm1.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.1b | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| ✓ | 0.1b | (/.f64 x (sin.f64 x)) |
Compiled 19 to 6 computations (68.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 x (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 x (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 x (sin.f64 x)) |
| 0.0ms | y | @ | 0 | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| 1× | batch-egg-rewrite |
| 1612× | associate-*r/ |
| 1556× | associate-/l* |
| 1116× | associate-*l/ |
| 1024× | *-commutative |
| 498× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 193 | 32 |
| 2 | 2708 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (sin.f64 x)) |
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (/.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) 1) (cbrt.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 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| 1× | egg-herbie |
| 884× | distribute-rgt-in |
| 878× | distribute-lft-in |
| 700× | distribute-lft-neg-out |
| 690× | distribute-rgt-neg-out |
| 454× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 322 | 4153 |
| 1 | 855 | 4071 |
| 2 | 3843 | 3995 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) 1) |
(*.f64 x (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 x (sin.f64 x)) 1) |
(*.f64 1 (/.f64 x (sin.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sin.f64 x))) |
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 1 (sin.f64 x)) x) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (/.f64 (sqrt.f64 x) 1)) |
(*.f64 (/.f64 (cbrt.f64 x) (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (cbrt.f64 x) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 x 1) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 x (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 -1 (/.f64 (neg.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) 1) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(pow.f64 (/.f64 x (sin.f64 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3) |
(pow.f64 (/.f64 (sin.f64 x) x) -1) |
(neg.f64 (/.f64 x (neg.f64 (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 x (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) |
(exp.f64 (log.f64 (/.f64 x (sin.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (sinh.f64 y) x))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (neg.f64 (sinh.f64 y)) (*.f64 -1 (/.f64 (sin.f64 x) x))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) (neg.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (sinh.f64 y) x)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 (sinh.f64 y)) 1)) |
(*.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1)) |
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x)) |
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (*.f64 (sinh.f64 y) (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (*.f64 (sinh.f64 y) (cbrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(*.f64 (/.f64 1 (neg.f64 x)) (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) x) (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (sin.f64 x)) (/.f64 (sqrt.f64 (sinh.f64 y)) x)) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) x) (/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 x (sin.f64 x))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) -1) (neg.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sin.f64 x)))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) 1) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) 1) (/.f64 (sin.f64 x) 1)) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) -1) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) -1) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (neg.f64 x))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x))) 1) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) 1) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) -1) |
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 (neg.f64 x) (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2)) |
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(fma.f64 1/6 (*.f64 x x) 1) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) 1)) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6))))) |
(fma.f64 7/360 (pow.f64 x 4) (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 31/15120 (pow.f64 x 6)))) |
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 31/15120 (pow.f64 x 6) 1))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 5))) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
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(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.1b | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| ✓ | 15.5b | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 20 to 6 computations (70% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| 0.0ms | x | @ | 0 | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| 0.0ms | x | @ | -inf | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 0.0ms | y | @ | 0 | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| 1× | batch-egg-rewrite |
| 1278× | associate-/r* |
| 1174× | associate-/l* |
| 1048× | associate-*r/ |
| 956× | *-commutative |
| 740× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 187 | 36 |
| 2 | 2519 | 36 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) x) (/.f64 (sin.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (cbrt.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) x) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2))) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (sinh.f64 y))) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 1 (*.f64 (sin.f64 x) (cbrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 -2 (sinh.f64 y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 (sinh.f64 y)) (sin.f64 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sinh.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))))) |
| 1× | egg-herbie |
| 1380× | associate-/r* |
| 1220× | associate-/r/ |
| 908× | distribute-rgt-in |
| 908× | distribute-lft-in |
| 430× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 312 | 4960 |
| 1 | 799 | 4820 |
| 2 | 3102 | 4652 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))) |
(+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7))) (+.f64 (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 y (sin.f64 x)) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (sin.f64 x))) (*.f64 y (sin.f64 x))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) (sin.f64 x))) (*.f64 y (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) (sin.f64 x))) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) (sin.f64 x))) (*.f64 y (sin.f64 x))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (/.f64 -1 x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 1)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) 1)) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) (sinh.f64 y)))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) x) (/.f64 (sin.f64 x) 1)) |
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (/.f64 -1 x) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (cbrt.f64 x)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) x) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2))) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (sinh.f64 y))) (cbrt.f64 (sin.f64 x))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3) |
(pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y))))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) x)) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))) 1)) |
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 -1 x))) |
(neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2)) |
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) 1) |
(/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) |
(/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1) |
(/.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))))) |
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 1 (*.f64 (sin.f64 x) (cbrt.f64 (sinh.f64 y))))) |
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) 2) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 -2 (sinh.f64 y))) -2) |
(/.f64 (*.f64 1 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2))) 2) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2)) |
(/.f64 (*.f64 (*.f64 -2 (sinh.f64 y)) (sin.f64 x)) -2) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) 1) 2) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2)) |
(pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3) 1/3) |
(neg.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (sinh.f64 y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sinh.f64 y) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
| Outputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 (*.f64 x x) -1/12))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/240) (pow.f64 x 4) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 (pow.f64 x 4) 1/240) (*.f64 (*.f64 x x) -1/12)))) |
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(neg.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))) 1)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 -1 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 (sinh.f64 y)))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) |
(fabs.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) |
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) 1) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x))))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 1 (*.f64 (sin.f64 x) (cbrt.f64 (sinh.f64 y))))) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (sinh.f64 y)) (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 (sin.f64 x))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (sinh.f64 y)) (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(/.f64 (*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) 2) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 -2 (sinh.f64 y))) -2) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (*.f64 1 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2))) 2) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2)) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2)) |
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 y))))) |
(/.f64 (sin.f64 x) (/.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 y))))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(/.f64 (*.f64 (*.f64 -2 (sinh.f64 y)) (sin.f64 x)) -2) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) 1) 2) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2)) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) |
(pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 3) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3) 1/3) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(neg.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (sinh.f64 y))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3)) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sinh.f64 y) 3))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
Compiled 18402 to 6540 computations (64.5% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1144 | 12 | 1156 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 0 | 3 |
| Total | 1147 | 13 | 1160 |
| Status | Error | Program |
|---|---|---|
| 1.1b | (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 3) | |
| 15.5b | (/.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) x) | |
| 16.9b | (/.f64 (/.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))) x) | |
| 0.5b | (/.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) (/.f64 x (sin.f64 x))) | |
| ✓ | 15.5b | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| ▶ | 16.4b | (/.f64 (*.f64 (sin.f64 x) y) x) |
| ▶ | 0.2b | (/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| ▶ | 30.8b | (/.f64 (sinh.f64 y) 1) |
| 1.7b | (/.f64 (sin.f64 x) (/.f64 x y)) | |
| 1.3b | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) | |
| ▶ | 1.0b | (/.f64 y (/.f64 x (sin.f64 x))) |
| 1.1b | (*.f64 (/.f64 y x) (sin.f64 x)) | |
| ▶ | 15.5b | (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sinh.f64 y))) |
Compiled 257 to 180 computations (30% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.1b | (/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| ✓ | 0.1b | (/.f64 1 (sin.f64 x)) |
| ✓ | 0.2b | (*.f64 (/.f64 1 (sin.f64 x)) x) |
Compiled 28 to 14 computations (50% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 1 (sin.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 1 (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| 0.0ms | x | @ | 0 | (/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| 1× | batch-egg-rewrite |
| 1568× | associate-/l* |
| 1520× | associate-*l/ |
| 1092× | *-commutative |
| 496× | associate-/r/ |
| 422× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 43 |
| 1 | 227 | 43 |
| 2 | 2992 | 43 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (sin.f64 x)) x) |
(/.f64 1 (sin.f64 x)) |
(/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (*.f64 1 (/.f64 (sin.f64 x) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 1 (/.f64 x (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (/.f64 1 (cbrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (sin.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (/.f64 x (cbrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (neg.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 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| 1× | egg-herbie |
| 1648× | unswap-sqr |
| 592× | distribute-rgt-in |
| 584× | distribute-lft-in |
| 500× | associate-/l* |
| 432× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 404 | 4637 |
| 1 | 1042 | 4561 |
| 2 | 4158 | 4485 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6))))) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 1 x) |
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(pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3) |
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(log.f64 (exp.f64 (/.f64 x (sin.f64 x)))) |
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(cbrt.f64 (*.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (sin.f64 x) 3)))) |
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(exp.f64 (log.f64 (/.f64 x (sin.f64 x)))) |
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(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) -1) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3) |
(pow.f64 (/.f64 (/.f64 x (sin.f64 x)) (sinh.f64 y)) -1) |
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (sin.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2)) |
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 x (sin.f64 x)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(fma.f64 1/6 (*.f64 x x) 1) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) 1)) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6))))) |
(fma.f64 7/360 (pow.f64 x 4) (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 31/15120 (pow.f64 x 6)))) |
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 31/15120 (pow.f64 x 6) 1))) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 1 x) |
(+.f64 (*.f64 1/6 x) (/.f64 1 x)) |
(fma.f64 1/6 x (/.f64 1 x)) |
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))) |
(fma.f64 1/6 x (fma.f64 7/360 (pow.f64 x 3) (/.f64 1 x))) |
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))) |
(fma.f64 1/6 x (fma.f64 31/15120 (pow.f64 x 5) (fma.f64 7/360 (pow.f64 x 3) (/.f64 1 x)))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)) (/.f64 y (/.f64 x (sin.f64 x)))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)) (*.f64 (sin.f64 x) (/.f64 y x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)) (fma.f64 1/120 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x)) (/.f64 y (/.f64 x (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)) (fma.f64 1/120 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x)) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (fma.f64 1/5040 (/.f64 (pow.f64 y 7) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)) (fma.f64 1/120 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x)) (fma.f64 1/5040 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 7) x)) (/.f64 y (/.f64 x (sin.f64 x)))))) |
(fma.f64 1/6 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)) (fma.f64 1/120 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x)) (fma.f64 1/5040 (*.f64 (sin.f64 x) (/.f64 (pow.f64 y 7) x)) (*.f64 (sin.f64 x) (/.f64 y x))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 -1/12 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 x x))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/12))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 (*.f64 x x) -1/12))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (*.f64 1/240 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (pow.f64 x 4)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/12)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 (*.f64 x x) -1/12) (*.f64 (pow.f64 x 4) 1/240)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 -1/10080 (*.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (*.f64 1/240 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/12) (*.f64 x x) (fma.f64 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (*.f64 -1/10080 (pow.f64 x 6)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))) |
(+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 (*.f64 x x) -1/12))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 (pow.f64 x 4) 1/240) (*.f64 (pow.f64 x 6) -1/10080)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) 1) |
(/.f64 x (sin.f64 x)) |
(/.f64 1 (/.f64 (sin.f64 x) x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 1 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 x (sin.f64 x)) |
(/.f64 1 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 (/.f64 x (sin.f64 x)) 1) |
(/.f64 x (sin.f64 x)) |
(/.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (sqrt.f64 x) (*.f64 1 (/.f64 (sin.f64 x) (sqrt.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 1 (/.f64 x (sqrt.f64 (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) -1/2) 1) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(/.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (/.f64 1 (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (cbrt.f64 x) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 x) (/.f64 (sin.f64 x) (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(*.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 (/.f64 (cbrt.f64 x) (sin.f64 x)) (sqrt.f64 x))) |
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (cbrt.f64 x))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (/.f64 x (cbrt.f64 (sin.f64 x))))) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (*.f64 (/.f64 1 x) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(/.f64 -1 (/.f64 (neg.f64 (sin.f64 x)) x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 x)) (sin.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sqrt.f64 x)) (sin.f64 x)) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(*.f64 (sqrt.f64 (cbrt.f64 x)) (*.f64 (/.f64 (fabs.f64 (cbrt.f64 x)) (sin.f64 x)) (sqrt.f64 x))) |
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(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (pow.f64 (sin.f64 x) -1/2)) (sqrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2)) |
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 (sinh.f64 y) x) (pow.f64 (sin.f64 x) -1/2))) |
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 (pow.f64 (sin.f64 x) -1/2) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (sin.f64 x)))))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 x)) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 x (sin.f64 x))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 1 (/.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) -1) (neg.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))) |
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(pow.f64 (/.f64 (/.f64 x (sin.f64 x)) (sinh.f64 y)) -1) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) |
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 x (sin.f64 x)) 3))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) |
Compiled 10 to 6 computations (40% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 y (/.f64 x (sin.f64 x))) |
| 0.1b | (/.f64 x (sin.f64 x)) |
Compiled 16 to 5 computations (68.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (/.f64 y (/.f64 x (sin.f64 x))) |
| 1.0ms | y | @ | 0 | (/.f64 y (/.f64 x (sin.f64 x))) |
| 1.0ms | x | @ | -inf | (/.f64 y (/.f64 x (sin.f64 x))) |
| 0.0ms | y | @ | inf | (/.f64 y (/.f64 x (sin.f64 x))) |
| 0.0ms | x | @ | inf | (/.f64 y (/.f64 x (sin.f64 x))) |
| 1× | batch-egg-rewrite |
| 1936× | add-sqr-sqrt |
| 1924× | *-un-lft-identity |
| 1792× | add-cube-cbrt |
| 1766× | add-cbrt-cube |
| 178× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 169 | 17 |
| 2 | 2361 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (/.f64 x (sin.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 (neg.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x)))))))) |
| 1× | egg-herbie |
| 1400× | associate-*r/ |
| 950× | associate-*l/ |
| 804× | associate-/l* |
| 788× | associate-+l- |
| 714× | associate-+r- |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 131 | 1368 |
| 1 | 343 | 1332 |
| 2 | 1323 | 1332 |
| 3 | 6393 | 1332 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1) |
(*.f64 1 (*.f64 y (/.f64 (sin.f64 x) x))) |
(*.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 (*.f64 (/.f64 y x) 1) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 y x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 3) |
(pow.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3) 1/3) |
(pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) -1) |
(neg.f64 (/.f64 y (/.f64 (neg.f64 x) (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x))))) |
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(exp.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
| Outputs |
|---|
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(fma.f64 -1/6 (*.f64 (*.f64 y x) x) y) |
(fma.f64 -1/6 (*.f64 x (*.f64 y x)) y) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 (*.f64 y x) x) y)) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 x (*.f64 y x)) y)) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 (*.f64 y x) x) y))) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 (pow.f64 x 6) (*.f64 y -1/5040) (fma.f64 -1/6 (*.f64 x (*.f64 y x)) y))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 1 (*.f64 y (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 y x) 1) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 y x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 y (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 x (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 y (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 x (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 y) 2))) |
(pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3) 1/3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) -1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(neg.f64 (/.f64 y (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x))))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 1)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (sin.f64 x) y) |
| ✓ | 15.4b | (/.f64 (*.f64 (sin.f64 x) y) x) |
Compiled 16 to 5 computations (68.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (*.f64 (sin.f64 x) y) |
| 0.0ms | y | @ | -inf | (*.f64 (sin.f64 x) y) |
| 0.0ms | x | @ | inf | (*.f64 (sin.f64 x) y) |
| 0.0ms | x | @ | -inf | (*.f64 (sin.f64 x) y) |
| 0.0ms | x | @ | 0 | (*.f64 (sin.f64 x) y) |
| 1× | batch-egg-rewrite |
| 1800× | add-sqr-sqrt |
| 1788× | *-un-lft-identity |
| 1662× | add-cube-cbrt |
| 1636× | add-cbrt-cube |
| 170× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 1 | 163 | 28 |
| 2 | 2178 | 28 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) y) x) |
(*.f64 (sin.f64 x) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 y (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (sin.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) y) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (sin.f64 x) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 (sin.f64 x) y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 x) y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) y))))))) |
| 1× | egg-herbie |
| 1482× | associate-/l* |
| 762× | unswap-sqr |
| 744× | times-frac |
| 692× | *-commutative |
| 608× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 1851 |
| 1 | 433 | 1815 |
| 2 | 1821 | 1809 |
| 3 | 7898 | 1809 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y x) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (*.f64 y x)) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5))))) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 7))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5)))))) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) 1) |
(*.f64 (sin.f64 x) (*.f64 y (/.f64 1 x))) |
(*.f64 (sin.f64 x) (/.f64 1 (/.f64 x y))) |
(*.f64 y (*.f64 (sin.f64 x) (/.f64 1 x))) |
(*.f64 (*.f64 (sin.f64 x) y) (/.f64 1 x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1) |
(*.f64 1 (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y)) |
(*.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 (sin.f64 x) y) (cbrt.f64 x))) |
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3) 1/3) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) -1) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) y) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) y))) 1) |
(pow.f64 (*.f64 (sin.f64 x) y) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) y)))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) y))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) y)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) y))) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) |
(fma.f64 y (*.f64 -1/6 (*.f64 x x)) y) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) |
(fma.f64 y (*.f64 -1/6 (*.f64 x x)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) y)) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(fma.f64 y (*.f64 -1/5040 (pow.f64 x 6)) (fma.f64 y (*.f64 -1/6 (*.f64 x x)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) y))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (*.f64 y x)) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (*.f64 y x)) |
(fma.f64 y x (*.f64 (pow.f64 x 3) (*.f64 y -1/6))) |
(*.f64 y (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5))))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 y x (*.f64 1/120 (*.f64 y (pow.f64 x 5))))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 y x (*.f64 (pow.f64 x 5) (*.f64 y 1/120)))) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 5)) (*.f64 y (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 7))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5)))))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 -1/5040 (*.f64 y (pow.f64 x 7)) (fma.f64 y x (*.f64 1/120 (*.f64 y (pow.f64 x 5)))))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 -1/5040 (*.f64 y (pow.f64 x 7)) (fma.f64 y x (*.f64 (pow.f64 x 5) (*.f64 y 1/120))))) |
(fma.f64 y (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 y x (*.f64 y (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sin.f64 x) (*.f64 y (/.f64 1 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sin.f64 x) (/.f64 1 (/.f64 x y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (*.f64 (sin.f64 x) (/.f64 1 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (sin.f64 x) y) (/.f64 1 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 1 (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (/.f64 1 (neg.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 (sin.f64 x) y) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) y))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) y))) |
(*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) y))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) y))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2))) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3) 1/3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) -1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) y) (neg.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 1)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) y))) 1) |
(*.f64 y (sin.f64 x)) |
(pow.f64 (*.f64 (sin.f64 x) y) 1) |
(*.f64 y (sin.f64 x)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 2) |
(*.f64 y (sin.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 3) |
(*.f64 y (sin.f64 x)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) 1/3) |
(*.f64 y (sin.f64 x)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 2)) |
(*.f64 y (sin.f64 x)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) y)) |
(*.f64 y (sin.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) y)))) |
(*.f64 y (sin.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3)) |
(*.f64 y (sin.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 y (sin.f64 x)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 y (sin.f64 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) y)) 1)) |
(*.f64 y (sin.f64 x)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 y (sin.f64 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) | |
| 0.1b | (*.f64 (sin.f64 x) (sinh.f64 y)) | |
| ✓ | 15.5b | (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sinh.f64 y))) |
Compiled 26 to 11 computations (57.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sinh.f64 y))) |
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sinh.f64 y))) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sinh.f64 y))) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sinh.f64 y))) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sinh.f64 y))) |
| 1× | batch-egg-rewrite |
| 1042× | *-commutative |
| 844× | unswap-sqr |
| 828× | associate-*r/ |
| 650× | swap-sqr |
| 614× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 21 |
| 1 | 221 | 21 |
| 2 | 2731 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sinh.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 x (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 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| 1× | egg-herbie |
| 842× | associate-/l* |
| 564× | associate-/l/ |
| 554× | unswap-sqr |
| 442× | distribute-frac-neg |
| 364× | associate-/r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 370 | 4810 |
| 1 | 927 | 4802 |
| 2 | 3773 | 4722 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1) |
(/.f64 1 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) |
(/.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (sinh.f64 y)))) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 x (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (sinh.f64 y)) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 x (*.f64 (sin.f64 x) (cbrt.f64 (sinh.f64 y))))) |
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 x (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2))) |
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))) |
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (sinh.f64 y)) (cbrt.f64 (pow.f64 (sin.f64 x) 2)))) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (/.f64 x (sinh.f64 y)) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 x (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x))))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y))) |
(/.f64 -1 (/.f64 (neg.f64 x) (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (/.f64 x (sin.f64 x)) 1/2)) |
(/.f64 (*.f64 (sinh.f64 y) 2) (*.f64 (/.f64 x (sin.f64 x)) 2)) |
(/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (/.f64 (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (sqrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)) (/.f64 (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)) (/.f64 (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2))) (/.f64 (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 x (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 (sinh.f64 y) 2)) 2) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) (+.f64 x x)) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) (sqrt.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (sinh.f64 y))) (cbrt.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) (sinh.f64 y))) (cbrt.f64 (*.f64 x x))) |
(/.f64 (*.f64 -2 (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) -2)) |
(/.f64 (*.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 (sinh.f64 y) 2))) 2) |
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y)))) (sqrt.f64 x)) |
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (sinh.f64 y)))) (cbrt.f64 x)) |
(/.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2))) 2) |
(/.f64 (*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) -1)) (neg.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (sqrt.f64 x)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (cbrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 -2 (sinh.f64 y))) -2) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) 1) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (cbrt.f64 (pow.f64 x -2))) 1) (cbrt.f64 x)) |
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (cbrt.f64 (pow.f64 x -2))) -1) (cbrt.f64 (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2)) |
(/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (sin.f64 x) x)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) 1) (sinh.f64 y)) x) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sinh.f64 y)) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sin.f64 x)) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 x x))) (sinh.f64 y)) (cbrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 x x))) (sin.f64 x)) (cbrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 1) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) x) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (cbrt.f64 (*.f64 x x))) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (cbrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) 1) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) x) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (sqrt.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (cbrt.f64 x)) |
(/.f64 (*.f64 (*.f64 -2 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) -2) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) (/.f64 1 x)) 2) |
(/.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 (sinh.f64 y) 2)) 1) 2) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (sinh.f64 y))) 1) (cbrt.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) (sqrt.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y)))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)) (cbrt.f64 x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) -1) (sinh.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) (sinh.f64 y)))) (cbrt.f64 (*.f64 x x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x))) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) (cbrt.f64 (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) 1) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (cbrt.f64 (*.f64 x x))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) -1) x) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) 1) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (sinh.f64 y))) 1) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (sinh.f64 y))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (sinh.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (sinh.f64 y))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (sinh.f64 y))) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 x))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2)) |
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3)) |
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
| Outputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 (*.f64 x x) -1/12))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/240) (pow.f64 x 4) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 (*.f64 x x) -1/12) (*.f64 (pow.f64 x 4) 1/240)))) |
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(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 x x))) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 x x))) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) (cbrt.f64 (*.f64 x x))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) 1) (neg.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (cbrt.f64 (*.f64 x x))) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 x x))) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) -1) x) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 x x))) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) 1) (sqrt.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (sqrt.f64 x))) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 x) (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 (cbrt.f64 x))) (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x))))) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cbrt.f64 x))) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x))))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (sinh.f64 y))) 1) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 x x))) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (sinh.f64 y))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 x x))) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (sinh.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 x x))) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (sinh.f64 y))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (sqrt.f64 x))) (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (sqrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (sinh.f64 y))) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x))))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (cbrt.f64 x))) (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 (*.f64 x x))))) |
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
Compiled 15238 to 6170 computations (59.5% saved)
18 alts after pruning (14 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 962 | 9 | 971 |
| Fresh | 2 | 5 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 966 | 18 | 984 |
| Status | Error | Program |
|---|---|---|
| 1.9b | (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 3) | |
| ▶ | 15.5b | (/.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) x) |
| 16.9b | (/.f64 (/.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))) x) | |
| ▶ | 31.0b | (/.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) 1) |
| ✓ | 15.5b | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| ✓ | 16.4b | (/.f64 (*.f64 (sin.f64 x) y) x) |
| ▶ | 46.7b | (/.f64 (*.f64 y x) x) |
| ✓ | 30.8b | (/.f64 (sinh.f64 y) 1) |
| ▶ | 1.7b | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 1.3b | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) | |
| ✓ | 1.0b | (/.f64 y (/.f64 x (sin.f64 x))) |
| 1.1b | (/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) | |
| 32.4b | (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) | |
| 32.4b | (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) | |
| ▶ | 1.1b | (*.f64 (/.f64 y x) (sin.f64 x)) |
| 16.4b | (*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x)))) | |
| 16.5b | (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y)) | |
| 31.3b | y |
Compiled 308 to 213 computations (30.8% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 y x) (sin.f64 x)) |
Compiled 15 to 5 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 y x) (sin.f64 x)) |
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 y x) (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 y x) (sin.f64 x)) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 y x) (sin.f64 x)) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 y x) (sin.f64 x)) |
| 1× | batch-egg-rewrite |
| 1740× | add-sqr-sqrt |
| 1728× | *-un-lft-identity |
| 1602× | add-cube-cbrt |
| 1576× | add-cbrt-cube |
| 170× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 163 | 17 |
| 2 | 2120 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 y x) (sin.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (sin.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (sin.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (sin.f64 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (sin.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 y x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))))) |
| 1× | egg-herbie |
| 1254× | associate-*r* |
| 1098× | associate-*l* |
| 644× | associate-+r+ |
| 568× | associate-+l+ |
| 454× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 867 |
| 1 | 189 | 855 |
| 2 | 670 | 855 |
| 3 | 4727 | 855 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) 1) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 1 (/.f64 x (*.f64 y (sin.f64 x)))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 y) (sin.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 y (sin.f64 x)) 1) x) |
(/.f64 (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 y (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 y (sin.f64 x))) (neg.f64 x)) |
(pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 y x)) (sin.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
| Outputs |
|---|
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) |
(fma.f64 y (*.f64 x (*.f64 x -1/6)) y) |
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 y (*.f64 x (*.f64 x -1/6)) y)) |
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) (fma.f64 y (*.f64 1/120 (pow.f64 x 4)) y)) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 (pow.f64 x 6) (*.f64 y -1/5040) (fma.f64 y (*.f64 x (*.f64 x -1/6)) y))) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 (pow.f64 x 6) (*.f64 y -1/5040) (fma.f64 y (*.f64 (*.f64 -1/6 x) x) y))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) 1) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 1 (/.f64 x (*.f64 y (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (neg.f64 y) (sin.f64 x)) (neg.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (/.f64 (*.f64 y (sin.f64 x)) 1) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (/.f64 (*.f64 y (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (neg.f64 (*.f64 y (sin.f64 x))) (neg.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/3) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 2)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 y x)) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(exp.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 1)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 15.4b | (/.f64 (*.f64 y x) x) |
Compiled 12 to 4 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 y x) x) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 y x) x) |
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 y x) x) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 y x) x) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 y x) x) |
| 1× | batch-egg-rewrite |
| 1232× | add-sqr-sqrt |
| 1220× | *-un-lft-identity |
| 1140× | add-cube-cbrt |
| 1120× | add-cbrt-cube |
| 1110× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 126 | 1 |
| 2 | 1771 | 1 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 y (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 y x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 y x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x . y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 y)))))) |
| 1× | egg-herbie |
| 1564× | associate-*r/ |
| 1316× | times-frac |
| 1232× | associate-/r* |
| 1084× | associate-/l/ |
| 928× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 335 |
| 1 | 238 | 335 |
| 2 | 1283 | 335 |
| 1× | node limit |
| Inputs |
|---|
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
(-.f64 (+.f64 1 y) 1) |
(*.f64 y 1) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (*.f64 y x) (/.f64 1 x)) |
(*.f64 1 y) |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(*.f64 (*.f64 y (neg.f64 x)) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 x 1) (/.f64 y x)) |
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 y x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 y x) (cbrt.f64 x))) |
(*.f64 (/.f64 y x) x) |
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 y)) |
(pow.f64 y 1) |
(pow.f64 (sqrt.f64 y) 2) |
(pow.f64 (cbrt.f64 y) 3) |
(pow.f64 (pow.f64 y 3) 1/3) |
(pow.f64 (/.f64 1 y) -1) |
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 x))) |
(sqrt.f64 (*.f64 y y)) |
(log.f64 (exp.f64 y)) |
(cbrt.f64 (pow.f64 y 3)) |
(expm1.f64 (log1p.f64 y)) |
(exp.f64 (log.f64 y)) |
(log1p.f64 (expm1.f64 y)) |
| Outputs |
|---|
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
(-.f64 (+.f64 1 y) 1) |
y |
(*.f64 y 1) |
y |
(*.f64 x (*.f64 y (/.f64 1 x))) |
y |
(*.f64 (*.f64 y x) (/.f64 1 x)) |
y |
(*.f64 1 y) |
y |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
y |
(*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 1 x))) |
y |
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
y |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)) |
y |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 1 x))) |
y |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
y |
(*.f64 (*.f64 y (neg.f64 x)) (/.f64 1 (neg.f64 x))) |
y |
(*.f64 (/.f64 x 1) (/.f64 y x)) |
y |
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 y x) (sqrt.f64 x))) |
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 y x) (cbrt.f64 x))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 y x) x) |
y |
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) |
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) x)) |
y |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 x))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) x)) |
y |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 x))) |
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 y)) |
(*.f64 (cbrt.f64 y) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 y))) |
(pow.f64 y 1) |
y |
(pow.f64 (sqrt.f64 y) 2) |
y |
(pow.f64 (cbrt.f64 y) 3) |
y |
(pow.f64 (pow.f64 y 3) 1/3) |
y |
(pow.f64 (/.f64 1 y) -1) |
y |
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 x))) |
y |
(sqrt.f64 (*.f64 y y)) |
y |
(log.f64 (exp.f64 y)) |
y |
(cbrt.f64 (pow.f64 y 3)) |
y |
(expm1.f64 (log1p.f64 y)) |
y |
(exp.f64 (log.f64 y)) |
y |
(log1p.f64 (expm1.f64 y)) |
y |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.8b | (/.f64 (sin.f64 x) (/.f64 x y)) |
Compiled 15 to 5 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 0.0ms | x | @ | 0 | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 0.0ms | y | @ | -inf | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 0.0ms | x | @ | -inf | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 0.0ms | y | @ | inf | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 1× | batch-egg-rewrite |
| 1936× | add-sqr-sqrt |
| 1924× | *-un-lft-identity |
| 1792× | add-cube-cbrt |
| 1766× | add-cbrt-cube |
| 178× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 169 | 17 |
| 2 | 2361 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) (/.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x y))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))))) |
| 1× | egg-herbie |
| 1370× | associate-*r/ |
| 936× | associate-*l/ |
| 760× | associate-/l* |
| 740× | associate-+l- |
| 668× | associate-+r- |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 1352 |
| 1 | 344 | 1316 |
| 2 | 1319 | 1316 |
| 3 | 6286 | 1316 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) 1) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x))) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) y))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) 1) y) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 y))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x y))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 x y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x y))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) -1) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) y))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 y x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) |
(fma.f64 (*.f64 x (*.f64 y -1/6)) x y) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 (*.f64 x (*.f64 y -1/6)) x y)) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 y (*.f64 -1/5040 (pow.f64 x 6)) (fma.f64 (*.f64 x (*.f64 y -1/6)) x y))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) 1) y) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y)))) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))) |
(/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y)))) |
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) |
(/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y)))) |
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) |
(/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 x y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x y))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y)))) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))) |
(/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) -1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 y x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x))))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 1)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 y (*.f64 1/6 (pow.f64 y 3))) |
| ✓ | 0.2b | (*.f64 1/6 (pow.f64 y 3)) |
Compiled 30 to 23 computations (23.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 1/6 (pow.f64 y 3)) |
| 0.0ms | y | @ | inf | (*.f64 1/6 (pow.f64 y 3)) |
| 0.0ms | y | @ | -inf | (*.f64 1/6 (pow.f64 y 3)) |
| 0.0ms | y | @ | inf | (+.f64 y (*.f64 1/6 (pow.f64 y 3))) |
| 0.0ms | y | @ | -inf | (+.f64 y (*.f64 1/6 (pow.f64 y 3))) |
| 1× | batch-egg-rewrite |
| 1730× | add-sqr-sqrt |
| 1694× | *-un-lft-identity |
| 1608× | add-cube-cbrt |
| 1596× | add-cbrt-cube |
| 164× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 178 | 28 |
| 2 | 2162 | 28 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/6 (pow.f64 y 3)) |
(+.f64 y (*.f64 1/6 (pow.f64 y 3))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 y 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (pow.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (cbrt.f64 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 y 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 y 3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 (pow.f64 y 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 y 3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 y 3) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y y) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) (/.f64 (*.f64 (pow.f64 y 6) 1/36) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/6 (pow.f64 y 3) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/6 (pow.f64 y 3) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 2) (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)) (/.f64 1 (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)) (/.f64 1 (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 y 1/6) (pow.f64 y 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (*.f64 -1/6 (pow.f64 y 3))) (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 y 1/6) (pow.f64 y 3)))) (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)) (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)) (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 y 1/6) (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)) (+.f64 (*.f64 (pow.f64 y 6) 1/36) (-.f64 (*.f64 y y) (*.f64 (*.f64 y 1/6) (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 y y)) (-.f64 (*.f64 1/6 (pow.f64 y 3)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36))) (neg.f64 (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 y 1/6) (pow.f64 y 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/6 (pow.f64 y 3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (pow.f64 y 3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 y 3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/6 (pow.f64 y 3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/6 (pow.f64 y 3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (pow.f64 y 3) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y 3) 1/6 y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 1/6 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/6 (pow.f64 y 3)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 1/6 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 y (cbrt.f64 1/6)) 2) (*.f64 y (cbrt.f64 1/6)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 1/6 (pow.f64 y 3))))))) |
| 1× | egg-herbie |
| 1176× | distribute-lft-neg-in |
| 648× | associate--r+ |
| 608× | +-commutative |
| 558× | unswap-sqr |
| 484× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 1319 |
| 1 | 284 | 1191 |
| 2 | 1117 | 1171 |
| 3 | 4741 | 1171 |
| 1× | node limit |
| Inputs |
|---|
y |
(*.f64 1/6 (pow.f64 y 3)) |
(*.f64 1/6 (pow.f64 y 3)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 y 3)))) 1) |
(pow.f64 (*.f64 1/6 (pow.f64 y 3)) 1) |
(pow.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) 2) |
(pow.f64 (*.f64 y (cbrt.f64 1/6)) 3) |
(pow.f64 (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 y 6) 1/36)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 y 3)) 1/6)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 y 3))))) |
(cbrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 y 3)))) |
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 y 3)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (pow.f64 y 3))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 y 3)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 y 3) y))) 1) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) (/.f64 (*.f64 (pow.f64 y 6) 1/36) (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))) |
(*.f64 (fma.f64 1/6 (pow.f64 y 3) y) 1) |
(*.f64 1 (fma.f64 1/6 (pow.f64 y 3) y)) |
(*.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y))) |
(*.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 2) (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y))) |
(*.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)) (/.f64 1 (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))) |
(*.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)) (/.f64 1 (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 y 1/6) (pow.f64 y 3)))))) |
(/.f64 1 (/.f64 (+.f64 y (*.f64 -1/6 (pow.f64 y 3))) (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)))) |
(/.f64 1 (/.f64 (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 y 1/6) (pow.f64 y 3)))) (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) |
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)) (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 y 1/6) (pow.f64 y 3))))) |
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)) (+.f64 (*.f64 (pow.f64 y 6) 1/36) (-.f64 (*.f64 y y) (*.f64 (*.f64 y 1/6) (pow.f64 y 3))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 y y)) (-.f64 (*.f64 1/6 (pow.f64 y 3)) y)) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36))) (neg.f64 (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 y 1/6) (pow.f64 y 3)))))) |
(pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 1) |
(pow.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 3) |
(pow.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 2)) |
(log.f64 (exp.f64 (fma.f64 1/6 (pow.f64 y 3) y))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (pow.f64 y 3) y)))) |
(cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 y 3) y))) |
(exp.f64 (log.f64 (fma.f64 1/6 (pow.f64 y 3) y))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 1/6 (pow.f64 y 3) y))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(fma.f64 (pow.f64 y 3) 1/6 y) |
(fma.f64 1 y (*.f64 1/6 (pow.f64 y 3))) |
(fma.f64 1 (*.f64 1/6 (pow.f64 y 3)) y) |
(fma.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) y) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 1/6 (pow.f64 y 3))) |
(fma.f64 (pow.f64 (*.f64 y (cbrt.f64 1/6)) 2) (*.f64 y (cbrt.f64 1/6)) y) |
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 1/6 (pow.f64 y 3))) |
| Outputs |
|---|
y |
(*.f64 1/6 (pow.f64 y 3)) |
(*.f64 1/6 (pow.f64 y 3)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 y 3)))) 1) |
(*.f64 1/6 (pow.f64 y 3)) |
(pow.f64 (*.f64 1/6 (pow.f64 y 3)) 1) |
(*.f64 1/6 (pow.f64 y 3)) |
(pow.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) 2) |
(*.f64 1/6 (pow.f64 y 3)) |
(pow.f64 (*.f64 y (cbrt.f64 1/6)) 3) |
(*.f64 1/6 (pow.f64 y 3)) |
(pow.f64 (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3) 1/3) |
(*.f64 1/6 (pow.f64 y 3)) |
(sqrt.f64 (*.f64 (pow.f64 y 6) 1/36)) |
(log.f64 (pow.f64 (exp.f64 (pow.f64 y 3)) 1/6)) |
(*.f64 1/6 (pow.f64 y 3)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 y 3))))) |
(*.f64 1/6 (pow.f64 y 3)) |
(cbrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)) |
(*.f64 1/6 (pow.f64 y 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 y 3)))) |
(*.f64 1/6 (pow.f64 y 3)) |
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 y 3)))) |
(*.f64 1/6 (pow.f64 y 3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (pow.f64 y 3))) 1)) |
(*.f64 1/6 (pow.f64 y 3)) |
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 y 3)))) |
(*.f64 1/6 (pow.f64 y 3)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 y 3) y))) 1) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) (/.f64 (*.f64 (pow.f64 y 6) 1/36) (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)) (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) |
(/.f64 (fma.f64 y y (*.f64 (pow.f64 y 6) -1/36)) (fma.f64 (pow.f64 y 3) -1/6 y)) |
(/.f64 (fma.f64 (pow.f64 y 6) -1/36 (*.f64 y y)) (fma.f64 (pow.f64 y 3) -1/6 y)) |
(*.f64 (fma.f64 1/6 (pow.f64 y 3) y) 1) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(*.f64 1 (fma.f64 1/6 (pow.f64 y 3) y)) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(*.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(*.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 2)) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 2) (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(*.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)) (/.f64 1 (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)) (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) |
(/.f64 (fma.f64 y y (*.f64 (pow.f64 y 6) -1/36)) (fma.f64 (pow.f64 y 3) -1/6 y)) |
(/.f64 (fma.f64 (pow.f64 y 6) -1/36 (*.f64 y y)) (fma.f64 (pow.f64 y 3) -1/6 y)) |
(*.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)) (/.f64 1 (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 y 1/6) (pow.f64 y 3)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) (*.f64 1/216 (pow.f64 (pow.f64 y 3) 3))) 1) (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 y (*.f64 1/6 (pow.f64 y 3)))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 (pow.f64 y 6) 1/36 (*.f64 y (-.f64 y (*.f64 1/6 (pow.f64 y 3)))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 y y (fma.f64 (pow.f64 y 6) 1/36 (*.f64 -1/6 (pow.f64 y 4))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 y (fma.f64 (pow.f64 y 3) -1/6 y) (*.f64 (pow.f64 y 6) 1/36))) |
(/.f64 1 (/.f64 (+.f64 y (*.f64 -1/6 (pow.f64 y 3))) (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)) (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) |
(/.f64 (fma.f64 y y (*.f64 (pow.f64 y 6) -1/36)) (fma.f64 (pow.f64 y 3) -1/6 y)) |
(/.f64 (fma.f64 (pow.f64 y 6) -1/36 (*.f64 y y)) (fma.f64 (pow.f64 y 3) -1/6 y)) |
(/.f64 1 (/.f64 (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 y 1/6) (pow.f64 y 3)))) (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) (*.f64 1/216 (pow.f64 (pow.f64 y 3) 3))) 1) (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 y (*.f64 1/6 (pow.f64 y 3)))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 (pow.f64 y 6) 1/36 (*.f64 y (-.f64 y (*.f64 1/6 (pow.f64 y 3)))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 y y (fma.f64 (pow.f64 y 6) 1/36 (*.f64 -1/6 (pow.f64 y 4))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 y (fma.f64 (pow.f64 y 3) -1/6 y) (*.f64 (pow.f64 y 6) 1/36))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)) (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) |
(/.f64 (fma.f64 y y (*.f64 (pow.f64 y 6) -1/36)) (fma.f64 (pow.f64 y 3) -1/6 y)) |
(/.f64 (fma.f64 (pow.f64 y 6) -1/36 (*.f64 y y)) (fma.f64 (pow.f64 y 3) -1/6 y)) |
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)) (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 y 1/6) (pow.f64 y 3))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) (*.f64 1/216 (pow.f64 (pow.f64 y 3) 3))) 1) (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 y (*.f64 1/6 (pow.f64 y 3)))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 (pow.f64 y 6) 1/36 (*.f64 y (-.f64 y (*.f64 1/6 (pow.f64 y 3)))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 y y (fma.f64 (pow.f64 y 6) 1/36 (*.f64 -1/6 (pow.f64 y 4))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 y (fma.f64 (pow.f64 y 3) -1/6 y) (*.f64 (pow.f64 y 6) 1/36))) |
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)) (+.f64 (*.f64 (pow.f64 y 6) 1/36) (-.f64 (*.f64 y y) (*.f64 (*.f64 y 1/6) (pow.f64 y 3))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) (*.f64 1/216 (pow.f64 (pow.f64 y 3) 3))) 1) (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 y (*.f64 1/6 (pow.f64 y 3)))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 (pow.f64 y 6) 1/36 (*.f64 y (-.f64 y (*.f64 1/6 (pow.f64 y 3)))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 y y (fma.f64 (pow.f64 y 6) 1/36 (*.f64 -1/6 (pow.f64 y 4))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 y (fma.f64 (pow.f64 y 3) -1/6 y) (*.f64 (pow.f64 y 6) 1/36))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 y y)) (-.f64 (*.f64 1/6 (pow.f64 y 3)) y)) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)) (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) |
(/.f64 (fma.f64 y y (*.f64 (pow.f64 y 6) -1/36)) (fma.f64 (pow.f64 y 3) -1/6 y)) |
(/.f64 (fma.f64 (pow.f64 y 6) -1/36 (*.f64 y y)) (fma.f64 (pow.f64 y 3) -1/6 y)) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36))) (neg.f64 (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (pow.f64 y 6) 1/36)) (+.f64 y (*.f64 (pow.f64 y 3) -1/6))) |
(/.f64 (fma.f64 y y (*.f64 (pow.f64 y 6) -1/36)) (fma.f64 (pow.f64 y 3) -1/6 y)) |
(/.f64 (fma.f64 (pow.f64 y 6) -1/36 (*.f64 y y)) (fma.f64 (pow.f64 y 3) -1/6 y)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 (*.f64 y 1/6) (pow.f64 y 3)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) (*.f64 1/216 (pow.f64 (pow.f64 y 3) 3))) 1) (fma.f64 y y (-.f64 (*.f64 (pow.f64 y 6) 1/36) (*.f64 y (*.f64 1/6 (pow.f64 y 3)))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 (pow.f64 y 6) 1/36 (*.f64 y (-.f64 y (*.f64 1/6 (pow.f64 y 3)))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 y y (fma.f64 (pow.f64 y 6) 1/36 (*.f64 -1/6 (pow.f64 y 4))))) |
(/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 y 3) 3) (pow.f64 y 3)) (fma.f64 y (fma.f64 (pow.f64 y 3) -1/6 y) (*.f64 (pow.f64 y 6) 1/36))) |
(pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 1) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(pow.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 2) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 3) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(pow.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 3) 1/3) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(sqrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 2)) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(log.f64 (exp.f64 (fma.f64 1/6 (pow.f64 y 3) y))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (pow.f64 y 3) y)))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 y 3) y) 3)) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(expm1.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 y 3) y))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(exp.f64 (log.f64 (fma.f64 1/6 (pow.f64 y 3) y))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (pow.f64 y 3) y)) 1)) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(log1p.f64 (expm1.f64 (fma.f64 1/6 (pow.f64 y 3) y))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(fma.f64 (pow.f64 y 3) 1/6 y) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(fma.f64 1 y (*.f64 1/6 (pow.f64 y 3))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(fma.f64 1 (*.f64 1/6 (pow.f64 y 3)) y) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(fma.f64 (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) (*.f64 (pow.f64 y 3/2) (sqrt.f64 1/6)) y) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 1/6 (pow.f64 y 3))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(fma.f64 (pow.f64 (*.f64 y (cbrt.f64 1/6)) 2) (*.f64 y (cbrt.f64 1/6)) y) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 1/6 (pow.f64 y 3))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (sinh.f64 y)) |
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.3b | (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) |
| ✓ | 15.5b | (/.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) x) |
Compiled 29 to 14 computations (51.7% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (/.f64 1 (sinh.f64 y)) |
| 0.0ms | y | @ | -inf | (/.f64 1 (sinh.f64 y)) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) x) |
| 0.0ms | y | @ | 0 | (/.f64 1 (sinh.f64 y)) |
| 0.0ms | x | @ | 0 | (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) |
| 1× | batch-egg-rewrite |
| 1878× | associate-/l* |
| 868× | associate-/r/ |
| 776× | swap-sqr |
| 684× | associate-/l/ |
| 448× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 59 |
| 1 | 234 | 47 |
| 2 | 3233 | 47 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) x) |
(/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) |
(/.f64 1 (sinh.f64 y)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (sinh.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sinh.f64 y) -1/2) (pow.f64 (sinh.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sinh.f64 y) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (neg.f64 (/.f64 -1 (cbrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sinh.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y))) (neg.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y))) (cbrt.f64 (/.f64 -1 (sinh.f64 y)))) (neg.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y))) (/.f64 -1 (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (/.f64 -1 (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) 1) (/.f64 1 (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) -1) (pow.f64 (sqrt.f64 (sinh.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sinh.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 -2 (sinh.f64 y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 -2 (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y)))) (sqrt.f64 (/.f64 -1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y))) (cbrt.f64 (/.f64 -1 (sinh.f64 y))))) (cbrt.f64 (/.f64 -1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y)))) (pow.f64 (sinh.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (/.f64 1 (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sinh.f64 y) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sinh.f64 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sinh.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sinh.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 y)))))))) |
| 1× | egg-herbie |
| 1144× | distribute-lft-neg-out |
| 836× | distribute-lft-neg-in |
| 832× | associate-*r* |
| 782× | associate-*l* |
| 682× | distribute-rgt-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 466 | 6242 |
| 1 | 1240 | 6086 |
| 2 | 5625 | 5918 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))) |
(+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7))) (+.f64 (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 y (sin.f64 x)) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (sin.f64 x))) (*.f64 y (sin.f64 x))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) (sin.f64 x))) (*.f64 y (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) (sin.f64 x))) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) (sin.f64 x))) (*.f64 y (sin.f64 x))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1/6 y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1/6 y) (*.f64 7/360 (pow.f64 y 3)))) |
(+.f64 (*.f64 -31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1/6 y) (*.f64 7/360 (pow.f64 y 3))))) |
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1) |
(*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 1 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) |
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y)))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) (sinh.f64 y)))) |
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) (sinh.f64 y))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 x x))) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) x) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2))) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (sinh.f64 y))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sinh.f64 y))) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (sinh.f64 y) -1/2)) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (*.f64 (sin.f64 x) (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 1 x) -1) (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 -1 (sinh.f64 y))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 (/.f64 1 (sinh.f64 y)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 (/.f64 1 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 1 x)) 1) (sinh.f64 y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 1 x)) (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 1 x)) -1) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 1 x)) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 x)) 1) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 x)) -1) (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) 1) (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) -1) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) -1) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x)) |
(neg.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 x))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)) 1)) |
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 (neg.f64 x)))) |
(neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))) |
(neg.f64 (*.f64 (/.f64 1 x) (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2)) |
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) 1) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (sinh.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))) |
(*.f64 (sinh.f64 y) (sin.f64 x)) |
(*.f64 -1 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (sin.f64 x))) |
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sinh.f64 y))) |
(*.f64 (sqrt.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (neg.f64 (sqrt.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (cbrt.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) (neg.f64 (cbrt.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (*.f64 (sin.f64 x) (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) (sinh.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (sinh.f64 y) -1/2)) (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (sinh.f64 y) -1/2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (sinh.f64 y))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) 1) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) 1) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) -1) (cbrt.f64 (neg.f64 (sinh.f64 y)))) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) (sqrt.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (cbrt.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))) (cbrt.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2))) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3) 1/3) |
(pow.f64 (/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) -1) |
(neg.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (sinh.f64 y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 1 (sinh.f64 y)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sinh.f64 y)))) 1) |
(*.f64 1 (/.f64 1 (sinh.f64 y))) |
(*.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y)))) |
(*.f64 (/.f64 1 (sinh.f64 y)) 1) |
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (pow.f64 (sinh.f64 y) -1/2)) |
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y))))) |
(*.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (neg.f64 (/.f64 -1 (cbrt.f64 (sinh.f64 y))))) |
(*.f64 -1 (/.f64 -1 (sinh.f64 y))) |
(*.f64 (/.f64 -1 (sinh.f64 y)) -1) |
(*.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y))) (neg.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y))) (cbrt.f64 (/.f64 -1 (sinh.f64 y)))) (neg.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 1 (*.f64 2 (sinh.f64 y))) 2) |
(*.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y))) (/.f64 -1 (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (/.f64 -1 (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) 1) (/.f64 1 (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) -1) (pow.f64 (sqrt.f64 (sinh.f64 y)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sinh.f64 y)) -1)) |
(*.f64 (/.f64 1 (*.f64 -2 (sinh.f64 y))) -2) |
(*.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) (sqrt.f64 2)) |
(*.f64 (/.f64 -1 (*.f64 -2 (sinh.f64 y))) 2) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (cbrt.f64 2)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y)))) (sqrt.f64 (/.f64 -1 (sinh.f64 y)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y))) (cbrt.f64 (/.f64 -1 (sinh.f64 y))))) (cbrt.f64 (/.f64 -1 (sinh.f64 y)))) |
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y)))) (pow.f64 (sinh.f64 y) -1/2)) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (/.f64 1 (cbrt.f64 (sinh.f64 y)))) |
(pow.f64 (/.f64 1 (sinh.f64 y)) 1) |
(pow.f64 (pow.f64 (sinh.f64 y) -1/2) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3) 1/3) |
(pow.f64 (sinh.f64 y) -1) |
(neg.f64 (/.f64 -1 (sinh.f64 y))) |
(sqrt.f64 (pow.f64 (sinh.f64 y) -2)) |
(log.f64 (exp.f64 (/.f64 1 (sinh.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sinh.f64 y))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (sinh.f64 y)))) |
(exp.f64 (neg.f64 (log.f64 (sinh.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (sinh.f64 y)) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 y))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 y)))) |
| Outputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 -1/12 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 x x))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 (*.f64 x x) -1/12))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 (*.f64 x x) -1/12) (*.f64 (pow.f64 x 4) 1/240)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240))))) |
(+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 (*.f64 x x) -1/12))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 (pow.f64 x 4) 1/240) (*.f64 (pow.f64 x 6) -1/10080)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
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(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (sinh.f64 y))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (sinh.f64 y) (sin.f64 x)) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 -1 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sinh.f64 y))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (sqrt.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (neg.f64 (sqrt.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (cbrt.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) (neg.f64 (cbrt.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (*.f64 (sin.f64 x) (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (*.f64 (sin.f64 x) (cbrt.f64 (sinh.f64 y))) (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) |
(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) |
(*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (*.f64 (sin.f64 x) (cbrt.f64 (sinh.f64 y))) (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) |
(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) (sinh.f64 y))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (sinh.f64 y) -1/2)) (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (sinh.f64 y) -1/2))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (sinh.f64 y))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) 1) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 -1) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (neg.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (sinh.f64 y))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) 1) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (sin.f64 x) (cbrt.f64 (sinh.f64 y))) (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) |
(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) -1) (cbrt.f64 (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (cbrt.f64 (neg.f64 (sinh.f64 y)))) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) (sqrt.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (cbrt.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))) (cbrt.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2))) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 3) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3) 1/3) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(pow.f64 (/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) -1) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(neg.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (sinh.f64 y))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3)) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 1 (sinh.f64 y)) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (/.f64 1 (pow.f64 (sinh.f64 y) 3)))) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 3) 1) (pow.f64 (sinh.f64 y) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 1)) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sinh.f64 y)))) 1) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 1 (/.f64 1 (sinh.f64 y))) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y)))) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (/.f64 1 (sinh.f64 y)) 1) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (pow.f64 (sinh.f64 y) -1/2)) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y))))) |
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (neg.f64 (/.f64 -1 (cbrt.f64 (sinh.f64 y))))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (sinh.f64 y))) |
(*.f64 -1 (/.f64 -1 (sinh.f64 y))) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (/.f64 -1 (sinh.f64 y)) -1) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y))) (neg.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y))))) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y))) (cbrt.f64 (/.f64 -1 (sinh.f64 y)))) (neg.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y))))) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (cbrt.f64 (sinh.f64 y)))) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (/.f64 1 (*.f64 2 (sinh.f64 y))) 2) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y))) (/.f64 -1 (sqrt.f64 (sinh.f64 y)))) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (/.f64 -1 (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) 1) (/.f64 1 (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) -1) (pow.f64 (sqrt.f64 (sinh.f64 y)) -1)) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) -1) (pow.f64 (cbrt.f64 (sinh.f64 y)) -1)) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (/.f64 1 (*.f64 -2 (sinh.f64 y))) -2) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) (sqrt.f64 2)) |
(*.f64 (/.f64 -1 (*.f64 -2 (sinh.f64 y))) 2) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (cbrt.f64 2)) |
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) -2) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (cbrt.f64 2)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (sinh.f64 y)))) (sqrt.f64 (/.f64 -1 (sinh.f64 y)))) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sinh.f64 y))) (cbrt.f64 (/.f64 -1 (sinh.f64 y))))) (cbrt.f64 (/.f64 -1 (sinh.f64 y)))) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (sinh.f64 y)))) (pow.f64 (sinh.f64 y) -1/2)) |
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (/.f64 1 (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (sinh.f64 y))) |
(pow.f64 (/.f64 1 (sinh.f64 y)) 1) |
(/.f64 1 (sinh.f64 y)) |
(pow.f64 (pow.f64 (sinh.f64 y) -1/2) 2) |
(/.f64 1 (sinh.f64 y)) |
(pow.f64 (/.f64 1 (cbrt.f64 (sinh.f64 y))) 3) |
(/.f64 1 (sinh.f64 y)) |
(pow.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3) 1/3) |
(/.f64 1 (sinh.f64 y)) |
(pow.f64 (sinh.f64 y) -1) |
(/.f64 1 (sinh.f64 y)) |
(neg.f64 (/.f64 -1 (sinh.f64 y))) |
(/.f64 1 (sinh.f64 y)) |
(sqrt.f64 (pow.f64 (sinh.f64 y) -2)) |
(log.f64 (exp.f64 (/.f64 1 (sinh.f64 y)))) |
(/.f64 1 (sinh.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sinh.f64 y))))) |
(/.f64 1 (sinh.f64 y)) |
(cbrt.f64 (pow.f64 (/.f64 1 (sinh.f64 y)) 3)) |
(/.f64 1 (sinh.f64 y)) |
(expm1.f64 (log1p.f64 (/.f64 1 (sinh.f64 y)))) |
(/.f64 1 (sinh.f64 y)) |
(exp.f64 (neg.f64 (log.f64 (sinh.f64 y)))) |
(/.f64 1 (sinh.f64 y)) |
(exp.f64 (*.f64 (log.f64 (sinh.f64 y)) -1)) |
(/.f64 1 (sinh.f64 y)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 y))) 1)) |
(/.f64 1 (sinh.f64 y)) |
(log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 y)))) |
(/.f64 1 (sinh.f64 y)) |
Compiled 8253 to 3872 computations (53.1% saved)
24 alts after pruning (16 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 541 | 8 | 549 |
| Fresh | 1 | 8 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 8 | 8 |
| Total | 543 | 24 | 567 |
| Status | Error | Program |
|---|---|---|
| 31.4b | (pow.f64 (/.f64 1 y) -1) | |
| 1.9b | (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 3) | |
| ▶ | 16.4b | (/.f64 (/.f64 (sin.f64 x) (/.f64 1 y)) x) |
| 16.0b | (/.f64 (/.f64 (sin.f64 x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) x) | |
| 16.9b | (/.f64 (/.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))) x) | |
| ✓ | 31.0b | (/.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) 1) |
| ✓ | 15.5b | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| ✓ | 16.4b | (/.f64 (*.f64 (sin.f64 x) y) x) |
| ✓ | 46.7b | (/.f64 (*.f64 y x) x) |
| ✓ | 30.8b | (/.f64 (sinh.f64 y) 1) |
| ✓ | 1.7b | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 1.3b | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) | |
| ✓ | 1.0b | (/.f64 y (/.f64 x (sin.f64 x))) |
| ▶ | 1.1b | (/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| 45.6b | (-.f64 (+.f64 1 y) 1) | |
| 32.4b | (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) | |
| 32.4b | (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) | |
| ✓ | 1.1b | (*.f64 (/.f64 y x) (sin.f64 x)) |
| ▶ | 18.7b | (*.f64 (/.f64 y x) x) |
| 16.5b | (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y)) | |
| ▶ | 46.7b | (*.f64 (/.f64 1 x) (*.f64 y x)) |
| 18.8b | (*.f64 x (*.f64 y (/.f64 1 x))) | |
| ▶ | 44.0b | (sqrt.f64 (*.f64 y y)) |
| 31.3b | y |
Compiled 366 to 254 computations (30.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| 0.1b | (/.f64 1 (sin.f64 x)) | |
| 0.2b | (*.f64 (/.f64 1 (sin.f64 x)) x) |
Compiled 25 to 13 computations (48% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| 0.0ms | x | @ | 0 | (/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| 0.0ms | y | @ | -inf | (/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| 0.0ms | x | @ | -inf | (/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| 0.0ms | x | @ | inf | (/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| 1× | batch-egg-rewrite |
| 1474× | associate-/l* |
| 1464× | associate-*r/ |
| 996× | associate-*l/ |
| 964× | *-commutative |
| 442× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 17 |
| 1 | 203 | 17 |
| 2 | 2646 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sin.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (*.f64 (/.f64 1 (neg.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 y (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (neg.f64 x)) (sin.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 y) 1) (sin.f64 x)) (/.f64 (sqrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 y) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) x) (*.f64 (/.f64 (sqrt.f64 y) 1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 (sin.f64 x))) (/.f64 (cbrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 y) x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y x) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y x) (pow.f64 (sin.f64 x) -1/2)) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 x)) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (neg.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 x (sin.f64 x))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 x)))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y 1) 1) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y 1) x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y 1) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y 1) (/.f64 x 1)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y 1) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y 1) (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y 1) (neg.f64 x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y x) -1) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y x) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 y (neg.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x (sin.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x)))))))) |
| 1× | egg-herbie |
| 1402× | times-frac |
| 902× | associate-+r- |
| 890× | associate-+l- |
| 804× | associate-/r* |
| 736× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 197 | 2229 |
| 1 | 549 | 2169 |
| 2 | 1785 | 2169 |
| 3 | 6623 | 2169 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 1 (*.f64 y (/.f64 (sin.f64 x) x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 y (sin.f64 x)) (/.f64 1 x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 1 (neg.f64 x)) (sin.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x)) (sqrt.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 y) 1)) |
(*.f64 (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) |
(*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 1 x) (*.f64 y (sin.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(*.f64 (*.f64 (/.f64 1 (neg.f64 x)) (sin.f64 x)) (neg.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) 1) (sin.f64 x)) (/.f64 (sqrt.f64 y) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) |
(*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 (/.f64 (sqrt.f64 y) 1) (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 (sin.f64 x))) (/.f64 (cbrt.f64 y) x)) |
(*.f64 (/.f64 (cbrt.f64 y) x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (/.f64 y x) 1) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 y x) (pow.f64 (sin.f64 x) -1/2)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 y (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (neg.f64 y) (neg.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 x (sin.f64 x))) (cbrt.f64 y)) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 y (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 x)))) (cbrt.f64 y)) |
(*.f64 (/.f64 (/.f64 y 1) 1) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 y 1) x) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 y 1) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 y 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 y 1) (/.f64 x 1)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 y 1) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 y 1) (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 y 1) (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 y x) -1) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 y x) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x))) |
(pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 3) |
(pow.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3) 1/3) |
(pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) -1) |
(neg.f64 (*.f64 (/.f64 y (neg.f64 x)) (sin.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x))))) |
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x (sin.f64 x)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(exp.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
| Outputs |
|---|
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y) |
(fma.f64 -1/6 (*.f64 x (*.f64 y x)) y) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 x (*.f64 y x)) y)) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 x (*.f64 x y)) y))) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 y (*.f64 -1/5040 (pow.f64 x 6)) (fma.f64 -1/6 (*.f64 x (*.f64 y x)) y))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 1 (*.f64 y (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 y (sin.f64 x)) (/.f64 1 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 1 (neg.f64 x)) (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x)) (sqrt.f64 y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x)) (/.f64 (sqrt.f64 y) 1)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 y) 2) 1)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 x) (*.f64 y (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 y (*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(/.f64 y (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 y (*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(/.f64 y (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (*.f64 (/.f64 1 (neg.f64 x)) (sin.f64 x)) (neg.f64 y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) 1) (sin.f64 x)) (/.f64 (sqrt.f64 y) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 y) x) (*.f64 (/.f64 (sqrt.f64 y) 1) (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(/.f64 y (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(/.f64 y (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 (sin.f64 x))) (/.f64 (cbrt.f64 y) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (cbrt.f64 y) x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 y (*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 y (*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (/.f64 y x) 1) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 y x) (pow.f64 (sin.f64 x) -1/2)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 y (*.f64 (pow.f64 (sin.f64 x) -1/2) x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 y (*.f64 x (pow.f64 (sin.f64 x) -1/2))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 y x) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) -1/2))) |
(*.f64 (/.f64 y (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (sin.f64 x)))))) |
(/.f64 (/.f64 (*.f64 y (sqrt.f64 (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 y (sqrt.f64 (sin.f64 x))) (sqrt.f64 x)) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (neg.f64 y) (neg.f64 x)) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 x (sin.f64 x))) (cbrt.f64 y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 y (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 x)))) (cbrt.f64 y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 y 1) 1) (/.f64 (sin.f64 x) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 y 1) x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 y 1) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 y 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (/.f64 y 1) (/.f64 x 1)) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 y 1) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 y 1) (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 y 1) (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 y x) -1) (neg.f64 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 y x) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 x)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)))) |
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 x)))) |
(/.f64 y (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3) 1/3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) -1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(neg.f64 (*.f64 (/.f64 y (neg.f64 x)) (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x))))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x (sin.f64 x)) 3))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 13.5b | (*.f64 (/.f64 y x) x) |
Compiled 12 to 4 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 y x) x) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 y x) x) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 y x) x) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 y x) x) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 y x) x) |
| 1× | batch-egg-rewrite |
| 1394× | add-sqr-sqrt |
| 1382× | *-un-lft-identity |
| 1286× | add-cube-cbrt |
| 1264× | add-cbrt-cube |
| 1252× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 126 | 13 |
| 2 | 1698 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 y x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 y x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 y x)))))))) |
| 1× | egg-herbie |
| 1154× | associate-*r* |
| 1070× | times-frac |
| 960× | associate-*l* |
| 816× | associate-+l+ |
| 764× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 46 |
| 1 | 140 | 46 |
| 2 | 576 | 46 |
| 3 | 6081 | 46 |
| 1× | node limit |
| Inputs |
|---|
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
(-.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1) |
(/.f64 y (/.f64 x x)) |
(/.f64 x (/.f64 x y)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(/.f64 (*.f64 y x) x) |
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 y x) 1) x) |
(/.f64 (/.f64 (*.f64 y x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 x)) |
(pow.f64 (*.f64 x (/.f64 y x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y x))) 3) |
(pow.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 y x)) x)) |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y x)))) |
(exp.f64 (log.f64 (*.f64 x (/.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y x)))) |
| Outputs |
|---|
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
(-.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1) |
y |
(/.f64 y (/.f64 x x)) |
y |
(/.f64 x (/.f64 x y)) |
y |
(/.f64 1 (/.f64 x (*.f64 y x))) |
y |
(/.f64 (*.f64 y x) x) |
y |
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 x)) |
y |
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 x)) |
y |
(/.f64 (/.f64 (*.f64 y x) 1) x) |
y |
(/.f64 (/.f64 (*.f64 y x) (sqrt.f64 x)) (sqrt.f64 x)) |
y |
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
y |
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 x)) |
y |
(pow.f64 (*.f64 x (/.f64 y x)) 1) |
y |
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y x))) 2) |
y |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y x))) 3) |
y |
(pow.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3) 1/3) |
y |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 2)) |
y |
(log.f64 (pow.f64 (exp.f64 (/.f64 y x)) x)) |
y |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3)) |
y |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y x)))) |
y |
(exp.f64 (log.f64 (*.f64 x (/.f64 y x)))) |
y |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y x))) 1)) |
y |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y x)))) |
y |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 15.6b | (*.f64 (/.f64 1 x) (*.f64 y x)) |
Compiled 18 to 9 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 x) (*.f64 y x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 x) (*.f64 y x)) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 1 x) (*.f64 y x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 x) (*.f64 y x)) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 1 x) (*.f64 y x)) |
| 1× | batch-egg-rewrite |
| 1556× | add-sqr-sqrt |
| 1540× | *-un-lft-identity |
| 1432× | add-cube-cbrt |
| 1406× | add-cbrt-cube |
| 1390× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 160 | 13 |
| 2 | 1967 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 x) (*.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x y)) (/.f64 x (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (/.f64 x (cbrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x y) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 y x)))))))) |
| 1× | egg-herbie |
| 1274× | associate-*l* |
| 1022× | times-frac |
| 888× | associate-+l+ |
| 884× | associate-/l* |
| 846× | associate-*r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 48 |
| 1 | 153 | 48 |
| 2 | 651 | 48 |
| 3 | 6126 | 48 |
| 1× | node limit |
| Inputs |
|---|
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
(-.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1) |
(/.f64 1 (/.f64 x (*.f64 x y))) |
(/.f64 x (/.f64 x y)) |
(/.f64 y (/.f64 x x)) |
(/.f64 (*.f64 x y) x) |
(/.f64 (sqrt.f64 (*.f64 x y)) (/.f64 x (sqrt.f64 (*.f64 x y)))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (/.f64 x (cbrt.f64 (*.f64 x y)))) |
(/.f64 (*.f64 (*.f64 x y) -1) (neg.f64 x)) |
(/.f64 (*.f64 -1 (*.f64 x y)) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 x y) 1) x) |
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 x)) |
(pow.f64 (*.f64 x (/.f64 y x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y x))) 3) |
(pow.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 2)) |
(log.f64 (exp.f64 (*.f64 x (/.f64 y x)))) |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y x)))) |
(exp.f64 (log.f64 (*.f64 x (/.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y x)))) |
| Outputs |
|---|
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
(-.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1) |
y |
(/.f64 1 (/.f64 x (*.f64 x y))) |
y |
(/.f64 x (/.f64 x y)) |
y |
(/.f64 y (/.f64 x x)) |
y |
(/.f64 (*.f64 x y) x) |
y |
(/.f64 (sqrt.f64 (*.f64 x y)) (/.f64 x (sqrt.f64 (*.f64 x y)))) |
y |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (/.f64 x (cbrt.f64 (*.f64 x y)))) |
y |
(/.f64 (*.f64 (*.f64 x y) -1) (neg.f64 x)) |
y |
(/.f64 (*.f64 -1 (*.f64 x y)) (neg.f64 x)) |
y |
(/.f64 (/.f64 (*.f64 x y) 1) x) |
y |
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 x)) (sqrt.f64 x)) |
y |
(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
y |
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 x)) |
y |
(pow.f64 (*.f64 x (/.f64 y x)) 1) |
y |
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y x))) 2) |
y |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 y x))) 3) |
y |
(pow.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3) 1/3) |
y |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 2)) |
y |
(log.f64 (exp.f64 (*.f64 x (/.f64 y x)))) |
y |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 y x)) 3)) |
y |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 y x)))) |
y |
(exp.f64 (log.f64 (*.f64 x (/.f64 y x)))) |
y |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 y x))) 1)) |
y |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 y x)))) |
y |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 29.3b | (sqrt.f64 (*.f64 y y)) |
Compiled 10 to 4 computations (60% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (sqrt.f64 (*.f64 y y)) |
| 0.0ms | y | @ | -inf | (sqrt.f64 (*.f64 y y)) |
| 0.0ms | y | @ | 0 | (sqrt.f64 (*.f64 y y)) |
| 1× | batch-egg-rewrite |
| 888× | add-sqr-sqrt |
| 872× | *-un-lft-identity |
| 836× | associate-*l* |
| 820× | pow1 |
| 812× | add-cube-cbrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 1 |
| 1 | 118 | 1 |
| 2 | 1162 | 1 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 y y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 y)) (*.f64 (sqrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (sqrt.f64 (*.f64 y (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (cbrt.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (cbrt.f64 y))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 y)) (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 y)) (*.f64 (cbrt.f64 (sqrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (cbrt.f64 y) 2)) (fabs.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (fabs.f64 (cbrt.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 y)) (fabs.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (cbrt.f64 y)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (cbrt.f64 y)) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2) (pow.f64 (*.f64 y (cbrt.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x . y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 y)))))) |
| 1× | egg-herbie |
| 1092× | associate-+l- |
| 838× | distribute-lft-in |
| 734× | distribute-rgt-in |
| 640× | associate-+r+ |
| 640× | unswap-sqr |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 192 |
| 1 | 180 | 192 |
| 2 | 722 | 192 |
| 3 | 2433 | 182 |
| 4 | 7231 | 182 |
| 1× | node limit |
| Inputs |
|---|
y |
y |
y |
y |
y |
y |
y |
y |
(*.f64 -1 y) |
(*.f64 -1 y) |
(*.f64 -1 y) |
(*.f64 -1 y) |
(-.f64 (+.f64 y 1) 1) |
(*.f64 y 1) |
(*.f64 y (pow.f64 1 1/2)) |
(*.f64 1 y) |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)) |
(*.f64 (sqrt.f64 (cbrt.f64 y)) (*.f64 (sqrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (sqrt.f64 (*.f64 y (cbrt.f64 y)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 y))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 y (cbrt.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (sqrt.f64 (*.f64 y (cbrt.f64 y))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) 1)) |
(*.f64 (sqrt.f64 (sqrt.f64 y)) (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 y))) |
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))) |
(*.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))) |
(*.f64 (cbrt.f64 (sqrt.f64 y)) (*.f64 (cbrt.f64 (sqrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 y) 2)) (fabs.f64 (cbrt.f64 y))) |
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (fabs.f64 (cbrt.f64 y)) 1)) |
(*.f64 (fabs.f64 (cbrt.f64 y)) (fabs.f64 (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (pow.f64 1 1/2) y) |
(*.f64 (pow.f64 (*.f64 y (cbrt.f64 y)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) |
(*.f64 (pow.f64 (*.f64 y (cbrt.f64 y)) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2) 1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2) (pow.f64 (*.f64 y (cbrt.f64 y)) 1/2)) |
(pow.f64 y 1) |
(pow.f64 (*.f64 y y) 1/2) |
(pow.f64 (sqrt.f64 y) 2) |
(pow.f64 (cbrt.f64 y) 3) |
(pow.f64 (pow.f64 y 3) 1/3) |
(fabs.f64 y) |
(fabs.f64 (neg.f64 y)) |
(log.f64 (exp.f64 y)) |
(cbrt.f64 (pow.f64 y 3)) |
(expm1.f64 (log1p.f64 y)) |
(exp.f64 (log.f64 y)) |
(log1p.f64 (expm1.f64 y)) |
| Outputs |
|---|
y |
y |
y |
y |
y |
y |
y |
y |
(*.f64 -1 y) |
(neg.f64 y) |
(*.f64 -1 y) |
(neg.f64 y) |
(*.f64 -1 y) |
(neg.f64 y) |
(*.f64 -1 y) |
(neg.f64 y) |
(-.f64 (+.f64 y 1) 1) |
y |
(*.f64 y 1) |
y |
(*.f64 y (pow.f64 1 1/2)) |
y |
(*.f64 1 y) |
y |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
y |
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
y |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)) |
y |
(*.f64 (sqrt.f64 (cbrt.f64 y)) (*.f64 (sqrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))) |
y |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (sqrt.f64 (*.f64 y (cbrt.f64 y)))) |
y |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 y))) |
y |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))) |
y |
(*.f64 (sqrt.f64 (*.f64 y (cbrt.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) |
y |
(*.f64 (sqrt.f64 (*.f64 y (cbrt.f64 y))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) 2)) 1)) |
y |
(*.f64 (sqrt.f64 (sqrt.f64 y)) (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 y))) |
y |
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))) |
y |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (cbrt.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (cbrt.f64 (cbrt.f64 y)) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))) |
(*.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) 4)) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))) |
y |
(*.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))) |
(*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) |
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 y (cbrt.f64 y))))) |
(*.f64 (cbrt.f64 (sqrt.f64 y)) (*.f64 (cbrt.f64 (sqrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (cbrt.f64 (sqrt.f64 y)) (*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))) |
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 y) 2)) (fabs.f64 (cbrt.f64 y))) |
y |
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (fabs.f64 (cbrt.f64 y)) 1)) |
y |
(*.f64 (fabs.f64 (cbrt.f64 y)) (fabs.f64 (pow.f64 (cbrt.f64 y) 2))) |
y |
(*.f64 (pow.f64 1 1/2) y) |
y |
(*.f64 (pow.f64 (*.f64 y (cbrt.f64 y)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)) |
y |
(*.f64 (pow.f64 (*.f64 y (cbrt.f64 y)) 1/2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2) 1)) |
y |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2) (pow.f64 (*.f64 y (cbrt.f64 y)) 1/2)) |
y |
(pow.f64 y 1) |
y |
(pow.f64 (*.f64 y y) 1/2) |
y |
(pow.f64 (sqrt.f64 y) 2) |
y |
(pow.f64 (cbrt.f64 y) 3) |
y |
(pow.f64 (pow.f64 y 3) 1/3) |
y |
(fabs.f64 y) |
y |
(fabs.f64 (neg.f64 y)) |
y |
(log.f64 (exp.f64 y)) |
y |
(cbrt.f64 (pow.f64 y 3)) |
y |
(expm1.f64 (log1p.f64 y)) |
y |
(exp.f64 (log.f64 y)) |
y |
(log1p.f64 (expm1.f64 y)) |
y |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 (sin.f64 x) (/.f64 1 y)) |
| ✓ | 15.4b | (/.f64 (/.f64 (sin.f64 x) (/.f64 1 y)) x) |
Compiled 24 to 13 computations (45.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 (sin.f64 x) (/.f64 1 y)) x) |
| 0.0ms | x | @ | 0 | (/.f64 (sin.f64 x) (/.f64 1 y)) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 (sin.f64 x) (/.f64 1 y)) x) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 (sin.f64 x) (/.f64 1 y)) x) |
| 0.0ms | y | @ | -inf | (/.f64 (/.f64 (sin.f64 x) (/.f64 1 y)) x) |
| 1× | batch-egg-rewrite |
| 1756× | associate-/l* |
| 1044× | *-commutative |
| 766× | unswap-sqr |
| 664× | associate-/r/ |
| 628× | swap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 40 |
| 1 | 210 | 28 |
| 2 | 2890 | 28 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 y)) x) |
(/.f64 (sin.f64 x) (/.f64 1 y)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 y)) 1) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 y)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 y -2))) 1) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 y -2))) -1) (cbrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (neg.f64 y)))) (sqrt.f64 (*.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 y))) (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 y))))) (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)))) (sqrt.f64 (*.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2))) (cbrt.f64 (*.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) y))) (cbrt.f64 (*.f64 (sin.f64 x) y))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) y))) (cbrt.f64 (*.f64 (sin.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 y) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y -2)) y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) y))))))) |
| 1× | egg-herbie |
| 1262× | associate-/r/ |
| 1216× | distribute-rgt-in |
| 1196× | distribute-lft-in |
| 692× | associate-*r* |
| 638× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 366 | 4301 |
| 1 | 1016 | 3953 |
| 2 | 4045 | 3947 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y x) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (*.f64 y x)) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5))))) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 7))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5)))))) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (/.f64 x y)))) 1) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 1 (/.f64 (sin.f64 x) (/.f64 x y))) |
(*.f64 (*.f64 (sin.f64 x) y) (/.f64 1 x)) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 x y)) 1) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) x)) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 x y))) (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 x y)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y))) 2) (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y)))) |
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y)) |
(*.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (/.f64 1 (neg.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x)) (sqrt.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) y))) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) y)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) y)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (neg.f64 x)) (*.f64 (sin.f64 x) (neg.f64 y))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) y) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 y))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 y (cbrt.f64 x)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) x) (sqrt.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) x)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) x) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x y)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) x) (cbrt.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 y)) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2))) (cbrt.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x y)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 y)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 y -1/2)) (*.f64 (sin.f64 x) (sqrt.f64 y))) |
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 y -2))) (*.f64 (sin.f64 x) (cbrt.f64 y))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 -1 y)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) -1) (*.f64 (sin.f64 x) (neg.f64 y))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 (/.f64 1 y) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) y))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 1 x)) 1) y) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 1 x)) (pow.f64 y -1/2)) (sqrt.f64 y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 1 x)) -1) (neg.f64 y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 1 x)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (neg.f64 (sin.f64 x))) 1) (neg.f64 y)) |
(*.f64 (/.f64 (*.f64 (/.f64 1 x) (neg.f64 (sin.f64 x))) -1) y) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) 1) y) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 y -1/2)) (sqrt.f64 y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) -1) (neg.f64 y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y)))) (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y)))) (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 x y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 x y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y))) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y))))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y))) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 x y))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 x y)))))) |
(pow.f64 (/.f64 (sin.f64 x) (/.f64 x y)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 x y))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y))) 3) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (/.f64 x y)) 3) 1/3) |
(pow.f64 (/.f64 (/.f64 x y) (sin.f64 x)) -1) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 y)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 y)) x)) |
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (/.f64 1 x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 y))) 1)) |
(neg.f64 (*.f64 (*.f64 (sin.f64 x) y) (/.f64 1 (neg.f64 x)))) |
(neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (/.f64 x (neg.f64 y))))) |
(neg.f64 (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (neg.f64 y)))) |
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (/.f64 x y)) 2)) |
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (/.f64 x y)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (/.f64 x y))))) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (/.f64 x y)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (/.f64 x y)))) |
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (/.f64 x y)))) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (/.f64 x y)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) y))) 1) |
(*.f64 (sin.f64 x) y) |
(*.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (*.f64 (sin.f64 x) y) 1) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) y)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) y))))) |
(*.f64 (sqrt.f64 y) (*.f64 (sin.f64 x) (sqrt.f64 y))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) y)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (cbrt.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) y))))) |
(*.f64 (cbrt.f64 y) (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 y (sin.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 y)) |
(*.f64 -1 (*.f64 (sin.f64 x) (neg.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 (sin.f64 x))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (neg.f64 y))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (neg.f64 y))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 y))) (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 y)))) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 y))))) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) y) (sqrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (*.f64 (sin.f64 x) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y -2))) (*.f64 (sin.f64 x) (cbrt.f64 y))) |
(*.f64 (*.f64 (sin.f64 x) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) y))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) y)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) y) (sqrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) y) (/.f64 (sqrt.f64 (sin.f64 x)) 1)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 y -2))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (cbrt.f64 y))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (cbrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 y))) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 y -1/2)) (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 y -1/2))) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 y -1/2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 y -1/2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 y -2))) (cbrt.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 y)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) y))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 y)) 1) (sqrt.f64 y)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 y)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 y -2))) 1) (cbrt.f64 y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 y -2))) -1) (cbrt.f64 (neg.f64 y))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (neg.f64 y)))) (sqrt.f64 (*.f64 (sin.f64 x) (neg.f64 y)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 y))) (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 y))))) (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 y)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)))) (sqrt.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2))) (cbrt.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) y))) (cbrt.f64 (*.f64 (sin.f64 x) y))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) y))) (cbrt.f64 (*.f64 (sin.f64 x) y)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) y))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) y))))) |
(pow.f64 (*.f64 (sin.f64 x) y) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) 1/3) |
(pow.f64 (/.f64 (/.f64 1 y) (sin.f64 x)) -1) |
(neg.f64 (*.f64 (sin.f64 x) (neg.f64 y))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) y)))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3)) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y -2)) y)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) y))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) y))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) y))) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (*.f64 y x)) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (*.f64 y x)) |
(fma.f64 y x (*.f64 -1/6 (*.f64 y (pow.f64 x 3)))) |
(*.f64 y (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5))))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 y x (*.f64 1/120 (*.f64 y (pow.f64 x 5))))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 y x (*.f64 y (*.f64 (pow.f64 x 5) 1/120)))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (*.f64 y (+.f64 x (*.f64 (pow.f64 x 5) 1/120)))) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 7))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 y (pow.f64 x 5)))))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 -1/5040 (*.f64 y (pow.f64 x 7)) (fma.f64 y x (*.f64 1/120 (*.f64 y (pow.f64 x 5)))))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 -1/5040 (*.f64 y (pow.f64 x 7)) (fma.f64 y x (*.f64 y (*.f64 (pow.f64 x 5) 1/120))))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 -1/5040 (*.f64 y (pow.f64 x 7)) (*.f64 y (+.f64 x (*.f64 (pow.f64 x 5) 1/120))))) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (/.f64 x y)))) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 1 (/.f64 (sin.f64 x) (/.f64 x y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (sin.f64 x) y) (/.f64 1 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 x y)) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 x y))) (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 x y)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y))) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y))) 2) (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (/.f64 1 (neg.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x)) (sqrt.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 1 x)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) y))) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 x)) (sqrt.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 x) y))) |
(/.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) y) 1) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (*.f64 y (/.f64 (sin.f64 x) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) y)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) y))) |
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(*.f64 (sin.f64 x) (/.f64 y x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) y))) 1) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sin.f64 x) y) |
(*.f64 y (sin.f64 x)) |
(*.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 y (sin.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) y) 1) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) y)) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) y))))) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sin.f64 x) (sqrt.f64 y))) |
(*.f64 y (sin.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) y)) |
(*.f64 y (sin.f64 x)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)) |
(*.f64 y (sin.f64 x)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 y -2)))) |
(/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (cbrt.f64 (pow.f64 y -2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (cbrt.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 y (sin.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) y))))) |
(*.f64 y (sin.f64 x)) |
(*.f64 (cbrt.f64 y) (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) (neg.f64 y)) |
(*.f64 y (sin.f64 x)) |
(*.f64 -1 (*.f64 (sin.f64 x) (neg.f64 y))) |
(*.f64 y (sin.f64 x)) |
(*.f64 (neg.f64 y) (neg.f64 (sin.f64 x))) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (neg.f64 y))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (neg.f64 y))))) |
(*.f64 y (sin.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 y))) (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 y)))) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 y))))) |
(*.f64 y (sin.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(*.f64 y (sin.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) y) (sqrt.f64 (sin.f64 x))) |
(*.f64 y (sin.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 y (sin.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 y (sin.f64 x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y -2))) (*.f64 (sin.f64 x) (cbrt.f64 y))) |
(*.f64 (*.f64 (sin.f64 x) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (pow.f64 y -2)))) |
(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2))) |
(*.f64 (*.f64 (sin.f64 x) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (pow.f64 y -2)))) |
(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) y))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)))) |
(*.f64 y (sin.f64 x)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)))) |
(*.f64 y (sin.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) y)) |
(*.f64 y (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) y) (sqrt.f64 (sin.f64 x))) |
(*.f64 y (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) y) (/.f64 (sqrt.f64 (sin.f64 x)) 1)) |
(*.f64 y (sin.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 y -2))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (cbrt.f64 y))) |
(*.f64 (*.f64 (sin.f64 x) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (pow.f64 y -2)))) |
(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (cbrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (*.f64 (sin.f64 x) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (pow.f64 y -2)))) |
(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 y))) |
(*.f64 y (sin.f64 x)) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1)) |
(*.f64 y (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 y -1/2)) (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 y -1/2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 y -1/2))) (pow.f64 y -1/2)) |
(/.f64 (/.f64 (sin.f64 x) (pow.f64 y -1/2)) (pow.f64 y -1/2)) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 y -1/2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 y -1/2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 y -1/2))) (pow.f64 y -1/2)) |
(/.f64 (/.f64 (sin.f64 x) (pow.f64 y -1/2)) (pow.f64 y -1/2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 y -2))) (cbrt.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 y -2)))) |
(/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (cbrt.f64 (pow.f64 y -2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 y)) (cbrt.f64 (sin.f64 x))) |
(*.f64 y (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 y (sin.f64 x)) |
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) y))) (cbrt.f64 (sin.f64 x))) |
(*.f64 y (sin.f64 x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 y)) 1) (sqrt.f64 y)) |
(*.f64 y (sin.f64 x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 y)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 y))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 -1)) (sqrt.f64 y)) (sqrt.f64 (neg.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 y -2))) 1) (cbrt.f64 y)) |
(*.f64 (*.f64 (sin.f64 x) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (pow.f64 y -2)))) |
(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 y -2))) -1) (cbrt.f64 (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 -1 (cbrt.f64 (pow.f64 y -2)))) (cbrt.f64 (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (cbrt.f64 (pow.f64 y -2)))) (cbrt.f64 (neg.f64 y))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (neg.f64 y)))) (sqrt.f64 (*.f64 (sin.f64 x) (neg.f64 y)))) |
(*.f64 y (sin.f64 x)) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 y))) (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 y))))) (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 y)))) |
(*.f64 y (sin.f64 x)) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)))) (sqrt.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 y (sin.f64 x)) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2))) (cbrt.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 y (sin.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) y))) (cbrt.f64 (*.f64 (sin.f64 x) y))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) y))) (cbrt.f64 (*.f64 (sin.f64 x) y)))) |
(*.f64 y (sin.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (sin.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 y (sin.f64 x)))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) y))))) |
(*.f64 y (sin.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) y))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (sin.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 y (sin.f64 x)))))) |
(pow.f64 (*.f64 (sin.f64 x) y) 1) |
(*.f64 y (sin.f64 x)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 2) |
(*.f64 y (sin.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 3) |
(*.f64 y (sin.f64 x)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) 1/3) |
(*.f64 y (sin.f64 x)) |
(pow.f64 (/.f64 (/.f64 1 y) (sin.f64 x)) -1) |
(*.f64 y (sin.f64 x)) |
(neg.f64 (*.f64 (sin.f64 x) (neg.f64 y))) |
(*.f64 y (sin.f64 x)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 2)) |
(sqrt.f64 (pow.f64 (*.f64 y (sin.f64 x)) 2)) |
(fabs.f64 (*.f64 y (sin.f64 x))) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) y)) |
(*.f64 y (sin.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) y)))) |
(*.f64 y (sin.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3)) |
(*.f64 y (sin.f64 x)) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y -2)) y)) |
(cbrt.f64 (*.f64 y (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y -2)))) |
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (/.f64 (pow.f64 y -2) y))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 y (sin.f64 x)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 y (sin.f64 x)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 y (sin.f64 x)) |
Compiled 6768 to 2678 computations (60.4% saved)
27 alts after pruning (14 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 533 | 8 | 541 |
| Fresh | 5 | 6 | 11 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 12 | 12 |
| Total | 538 | 27 | 565 |
| Status | Error | Program |
|---|---|---|
| 2.6b | (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y))) 3) | |
| 17.8b | (/.f64 (pow.f64 (/.f64 (/.f64 1 y) (sin.f64 x)) -1) x) | |
| ✓ | 16.4b | (/.f64 (/.f64 (sin.f64 x) (/.f64 1 y)) x) |
| 16.0b | (/.f64 (/.f64 (sin.f64 x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) x) | |
| ✓ | 31.0b | (/.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) 1) |
| ✓ | 15.5b | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| ✓ | 16.4b | (/.f64 (*.f64 (sin.f64 x) y) x) |
| ✓ | 46.7b | (/.f64 (*.f64 y x) x) |
| ✓ | 30.8b | (/.f64 (sinh.f64 y) 1) |
| ✓ | 1.7b | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 1.3b | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) | |
| ✓ | 1.0b | (/.f64 y (/.f64 x (sin.f64 x))) |
| ✓ | 1.1b | (/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| 17.3b | (/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) | |
| 17.6b | (/.f64 x (/.f64 x y)) | |
| 46.7b | (/.f64 1 (/.f64 x (*.f64 y x))) | |
| 45.6b | (-.f64 (+.f64 y 1) 1) | |
| 32.4b | (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) | |
| 1.3b | (*.f64 (/.f64 (/.f64 1 x) (/.f64 1 y)) (sin.f64 x)) | |
| ✓ | 1.1b | (*.f64 (/.f64 y x) (sin.f64 x)) |
| ✓ | 18.7b | (*.f64 (/.f64 y x) x) |
| 16.5b | (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y)) | |
| ✓ | 46.7b | (*.f64 (/.f64 1 x) (*.f64 y x)) |
| 18.8b | (*.f64 x (*.f64 y (/.f64 1 x))) | |
| ✓ | 44.0b | (sqrt.f64 (*.f64 y y)) |
| 61.0b | (neg.f64 y) | |
| 31.3b | y |
Compiled 243 to 167 computations (31.3% saved)
| Inputs |
|---|
y |
(neg.f64 y) |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(-.f64 (+.f64 y 1) 1) |
(/.f64 x (/.f64 x y)) |
(/.f64 (*.f64 y x) x) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
(sqrt.f64 (*.f64 y y)) |
(/.f64 (sinh.f64 y) 1) |
(pow.f64 (/.f64 1 y) -1) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y)) |
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 y)) x) |
(/.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) 1) |
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 y)) (sin.f64 x)) |
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
(/.f64 (/.f64 (sin.f64 x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) x) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (sinh.f64 y) (*.f64 (/.f64 1 (sin.f64 x)) x)) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) x) |
(/.f64 (pow.f64 (/.f64 (/.f64 1 y) (sin.f64 x)) -1) x) |
(/.f64 (/.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))) x) |
(/.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) (/.f64 x (sin.f64 x))) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 3) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x y))) 3) |
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 3) |
| Outputs |
|---|
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
4 calls:
| 18.0ms | (sinh.f64 y) |
| 18.0ms | x |
| 18.0ms | y |
| 12.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 0.1b | 1 | (sinh.f64 y) |
Compiled 329 to 161 computations (51.1% saved)
| Inputs |
|---|
y |
(neg.f64 y) |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(-.f64 (+.f64 y 1) 1) |
(/.f64 x (/.f64 x y)) |
(/.f64 (*.f64 y x) x) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
(sqrt.f64 (*.f64 y y)) |
(/.f64 (sinh.f64 y) 1) |
(pow.f64 (/.f64 1 y) -1) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y)) |
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 y)) x) |
(/.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) 1) |
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 y)) (sin.f64 x)) |
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
(/.f64 (/.f64 (sin.f64 x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) x) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
| Outputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
3 calls:
| 16.0ms | x |
| 14.0ms | (sinh.f64 y) |
| 14.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | x |
| 0.2b | 1 | y |
| 0.2b | 1 | (sinh.f64 y) |
Compiled 218 to 111 computations (49.1% saved)
| Inputs |
|---|
y |
(neg.f64 y) |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(-.f64 (+.f64 y 1) 1) |
(/.f64 x (/.f64 x y)) |
(/.f64 (*.f64 y x) x) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
(sqrt.f64 (*.f64 y y)) |
(/.f64 (sinh.f64 y) 1) |
(pow.f64 (/.f64 1 y) -1) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y)) |
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 y)) x) |
(/.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) 1) |
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 y)) (sin.f64 x)) |
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
(/.f64 (/.f64 (sin.f64 x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) x) |
| Outputs |
|---|
(/.f64 y (/.f64 x (sin.f64 x))) |
3 calls:
| 13.0ms | (sinh.f64 y) |
| 13.0ms | x |
| 12.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 1 | x |
| 1.0b | 1 | y |
| 1.0b | 1 | (sinh.f64 y) |
Compiled 204 to 107 computations (47.5% saved)
| Inputs |
|---|
y |
(neg.f64 y) |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(-.f64 (+.f64 y 1) 1) |
(/.f64 x (/.f64 x y)) |
(/.f64 (*.f64 y x) x) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
(sqrt.f64 (*.f64 y y)) |
(/.f64 (sinh.f64 y) 1) |
(pow.f64 (/.f64 1 y) -1) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
| Outputs |
|---|
(*.f64 (/.f64 y x) (sin.f64 x)) |
3 calls:
| 10.0ms | y |
| 9.0ms | x |
| 9.0ms | (sinh.f64 y) |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 1 | x |
| 1.1b | 1 | y |
| 1.1b | 1 | (sinh.f64 y) |
Compiled 109 to 61 computations (44% saved)
| Inputs |
|---|
y |
(neg.f64 y) |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(-.f64 (+.f64 y 1) 1) |
(/.f64 x (/.f64 x y)) |
(/.f64 (*.f64 y x) x) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
(sqrt.f64 (*.f64 y y)) |
(/.f64 (sinh.f64 y) 1) |
(pow.f64 (/.f64 1 y) -1) |
| Outputs |
|---|
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
3 calls:
| 9.0ms | (sinh.f64 y) |
| 9.0ms | x |
| 8.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 17.3b | 1 | x |
| 17.3b | 1 | y |
| 17.3b | 1 | (sinh.f64 y) |
Compiled 103 to 59 computations (42.7% saved)
| Inputs |
|---|
y |
(neg.f64 y) |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(-.f64 (+.f64 y 1) 1) |
(/.f64 x (/.f64 x y)) |
(/.f64 (*.f64 y x) x) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
| Outputs |
|---|
(/.f64 x (/.f64 x y)) |
2 calls:
| 9.0ms | y |
| 7.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 17.6b | 1 | x |
| 17.6b | 1 | y |
Compiled 75 to 40 computations (46.7% saved)
| Inputs |
|---|
y |
(neg.f64 y) |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(-.f64 (+.f64 y 1) 1) |
| Outputs |
|---|
(*.f64 (/.f64 y x) x) |
2 calls:
| 6.0ms | y |
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 18.7b | 1 | x |
| 18.7b | 1 | y |
Compiled 26 to 17 computations (34.6% saved)
Total -30.0b remaining (-95.9%)
Threshold costs -30.0b (-95.9%)
| Inputs |
|---|
y |
(neg.f64 y) |
| Outputs |
|---|
y |
2 calls:
| 3.0ms | y |
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 31.3b | 1 | x |
| 31.3b | 1 | y |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
| 10× | *-commutative |
| 2× | 1-exp |
| 2× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 134 |
| 1 | 32 | 134 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
(/.f64 x (/.f64 x y)) |
(*.f64 (/.f64 y x) x) |
y |
| Outputs |
|---|
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
(/.f64 y (*.f64 x (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) |
(/.f64 x (/.f64 x y)) |
(*.f64 (/.f64 y x) x) |
(*.f64 x (/.f64 y x)) |
y |
Compiled 64 to 41 computations (35.9% saved)
| 1× | egg-herbie |
| 1366× | associate-*r* |
| 1204× | fma-neg |
| 980× | associate-/l* |
| 772× | associate-*l* |
| 768× | associate-*r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 18 | 21 |
| 2 | 39 | 21 |
| 3 | 79 | 21 |
| 4 | 175 | 21 |
| 5 | 423 | 21 |
| 6 | 1383 | 21 |
| 7 | 5708 | 21 |
| 1× | node limit |
Compiled 23 to 10 computations (56.5% saved)
Compiled 50 to 21 computations (58% saved)
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