Time bar (total: 9.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 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 | 6865× | body | 256 | valid |
| 778.0ms | 2032× | body | 1024 | infinite |
| 280.0ms | 1014× | body | 512 | infinite |
| 280.0ms | 645× | body | 1024 | valid |
| 242.0ms | 1617× | body | 256 | infinite |
| 177.0ms | 746× | 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 |
|---|---|---|
| ▶ | 9.3b | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| ▶ | 0.1b | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| ▶ | 0.2b | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| ▶ | 0.1b | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
Compiled 36 to 24 computations (33.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sinh.f64 y) |
| ✓ | 0.1b | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| ✓ | 0.1b | (/.f64 (sin.f64 x) x) |
Compiled 19 to 6 computations (68.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| 1.0ms | y | @ | inf | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| 1.0ms | x | @ | -inf | (/.f64 (sin.f64 x) x) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| 1× | batch-egg-rewrite |
| 1204× | associate-*r/ |
| 936× | *-commutative |
| 838× | associate-*l/ |
| 834× | associate-/r* |
| 700× | unswap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 37 |
| 1 | 187 | 37 |
| 2 | 2476 | 37 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(sinh.f64 y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.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 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.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)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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 1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) 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 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (+.f64 x x) (*.f64 (sinh.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (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) (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (*.f64 (sinh.f64 y) 2)))))) (#(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 (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 (sin.f64 x)) (/.f64 (/.f64 x (sinh.f64 y)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (/.f64 x (sin.f64 x)) (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (sinh.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (/.f64 x (sinh.f64 y)) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (*.f64 (sinh.f64 y) (cbrt.f64 (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) (sinh.f64 y)) (/.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 x) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) (/.f64 (*.f64 (neg.f64 x) 2) (*.f64 (sinh.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (+.f64 x x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (/.f64 x (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sqrt.f64 (*.f64 (sinh.f64 y) 2))))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (cbrt.f64 (sinh.f64 y)))) (*.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (cbrt.f64 (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sqrt.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 (sinh.f64 y) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 2 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (/.f64 2 (sqrt.f64 (*.f64 (sinh.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (/.f64 2 (cbrt.f64 (*.f64 (sinh.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) (*.f64 2 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (*.f64 2 (+.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (sinh.f64 y)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (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)) 1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) 2)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) 1/2) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) 1/2) (+.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sinh.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sinh.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sinh.f64 y) 2) -2))))) (#(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 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sinh.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sinh.f64 y))))))) |
| 1× | egg-herbie |
| 1042× | associate-*r* |
| 1034× | times-frac |
| 1022× | associate-*l* |
| 854× | associate-/l/ |
| 764× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 590 | 7603 |
| 1 | 1531 | 7353 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(*.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)) |
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 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1) |
(*.f64 (sin.f64 x) (/.f64 1 x)) |
(*.f64 (/.f64 (sin.f64 x) x) 1) |
(*.f64 1 (/.f64 (sin.f64 x) x)) |
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 1 x) (sin.f64 x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1)) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 x) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) x))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))))) |
(pow.f64 (/.f64 (sin.f64 x) x) 1) |
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3) |
(pow.f64 (/.f64 x (sin.f64 x)) -1) |
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) x)) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) 1)) |
(neg.f64 (*.f64 (sin.f64 x) (/.f64 -1 x))) |
(neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (neg.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2)) |
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) |
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x))) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 (sin.f64 x) (/.f64 (+.f64 x x) (*.f64 (sinh.f64 y) 2))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y))) |
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 1 (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (*.f64 (sinh.f64 y) 2))) |
(/.f64 1 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 1 (sinh.f64 y)))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (sinh.f64 y)) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (*.f64 (sinh.f64 y) (sqrt.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)))) |
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(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) (/.f64 1 x)) 2) |
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(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)) |
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(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
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(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3) |
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) 2) -2)) |
(sqrt.f64 (pow.f64 (sinh.f64 y) 2)) |
(log.f64 (exp.f64 (sinh.f64 y))) |
(log.f64 (+.f64 1 (expm1.f64 (sinh.f64 y)))) |
(cbrt.f64 (pow.f64 (sinh.f64 y) 3)) |
(expm1.f64 (log1p.f64 (sinh.f64 y))) |
(exp.f64 (log.f64 (sinh.f64 y))) |
(log1p.f64 (expm1.f64 (sinh.f64 y))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 x x))) |
(fma.f64 -1/6 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 1/120 (pow.f64 x 4) (*.f64 x (*.f64 x -1/6)))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6)))) |
(*.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 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(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 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 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))) |
(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)))) |
(+.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 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))) |
(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 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (pow.f64 x 6) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/10080))))) |
(*.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 (*.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 (/.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)))) |
(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 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (fma.f64 1/5040 (*.f64 (/.f64 (pow.f64 y 7) 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))))) |
y |
(+.f64 y (*.f64 1/6 (pow.f64 y 3))) |
(fma.f64 1/6 (pow.f64 y 3) y) |
(+.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)))) |
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y)) |
(+.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))))) |
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) 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 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) 1) |
(/.f64 (sin.f64 x) x) |
(*.f64 (sin.f64 x) (/.f64 1 x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sin.f64 x) x) 1) |
(/.f64 (sin.f64 x) x) |
(*.f64 1 (/.f64 (sin.f64 x) x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 1 x) (sin.f64 x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sqrt.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) 1)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 -1 x) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
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(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (*.f64 (sqrt.f64 x) (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 (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 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (cbrt.f64 x))) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (fabs.f64 (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 (sqrt.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) 1) (cbrt.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (sqrt.f64 x))) (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x)))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(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 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (sinh.f64 y))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2)) |
(fabs.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) |
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(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 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) 1) |
(sinh.f64 y) |
(-.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2)) |
(sinh.f64 y) |
(*.f64 (sinh.f64 y) 1) |
(sinh.f64 y) |
(*.f64 1 (sinh.f64 y)) |
(sinh.f64 y) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y))) |
(sinh.f64 y) |
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(sinh.f64 y) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y))) |
(sinh.f64 y) |
(*.f64 (*.f64 (sinh.f64 y) 2) 1/2) |
(sinh.f64 y) |
(*.f64 1/2 (*.f64 (sinh.f64 y) 2)) |
(sinh.f64 y) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y))) (*.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y)))) |
(sinh.f64 y) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (cbrt.f64 (sqrt.f64 (sinh.f64 y))))) |
(*.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (cbrt.f64 (sinh.f64 y)))) (*.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 (cbrt.f64 (sinh.f64 y))))) |
(sinh.f64 y) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sinh.f64 y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sqrt.f64 (sinh.f64 y))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 y))) (cbrt.f64 (sqrt.f64 (sinh.f64 y))))) |
(/.f64 1 (/.f64 1 (sinh.f64 y))) |
(sinh.f64 y) |
(/.f64 (*.f64 (sinh.f64 y) 2) 2) |
(sinh.f64 y) |
(/.f64 2 (/.f64 2 (sinh.f64 y))) |
(sinh.f64 y) |
(/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (/.f64 2 (sqrt.f64 (*.f64 (sinh.f64 y) 2)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) 2) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) |
(*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) 2)) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (/.f64 2 (cbrt.f64 (*.f64 (sinh.f64 y) 2)))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) 2) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (/.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) 2)) |
(/.f64 (-.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) (*.f64 2 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (*.f64 2 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (fma.f64 2 (exp.f64 y) (/.f64 2 (exp.f64 y)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (*.f64 2 (+.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) 2) (+.f64 (exp.f64 (+.f64 y y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (*.f64 2 (+.f64 1 (+.f64 (exp.f64 (-.f64 (neg.f64 y) y)) (exp.f64 (+.f64 y y)))))) |
(/.f64 (*.f64 -2 (sinh.f64 y)) -2) |
(sinh.f64 y) |
(/.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2)) |
(/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (/.f64 (sqrt.f64 2) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (sqrt.f64 2)) (sqrt.f64 (sinh.f64 y))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (*.f64 (sinh.f64 y) 2))) (cbrt.f64 2)) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 2)) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) |
(/.f64 (*.f64 (*.f64 -2 (sinh.f64 y)) 1) -2) |
(sinh.f64 y) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2)) |
(/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (/.f64 (sqrt.f64 2) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (sqrt.f64 2)) (sqrt.f64 (sinh.f64 y))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) 2)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 2)) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 2)) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (/.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) 1/2) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (/.f64 (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2)) |
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) 1/2) (+.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(/.f64 (*.f64 1/2 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3))) (+.f64 (exp.f64 (+.f64 y y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (+.f64 1 (+.f64 (exp.f64 (-.f64 (neg.f64 y) y)) (exp.f64 (+.f64 y y))))) 1/2) |
(pow.f64 (sinh.f64 y) 1) |
(sinh.f64 y) |
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2) |
(sinh.f64 y) |
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3) |
(sinh.f64 y) |
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3) |
(sinh.f64 y) |
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) 2) -2)) |
(sinh.f64 y) |
(sqrt.f64 (pow.f64 (sinh.f64 y) 2)) |
(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) |
(cbrt.f64 (pow.f64 (sinh.f64 y) 3)) |
(sinh.f64 y) |
(expm1.f64 (log1p.f64 (sinh.f64 y))) |
(sinh.f64 y) |
(exp.f64 (log.f64 (sinh.f64 y))) |
(sinh.f64 y) |
(log1p.f64 (expm1.f64 (sinh.f64 y))) |
(sinh.f64 y) |
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)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 0.0ms | y | @ | inf | (/.f64 (sinh.f64 y) x) |
| 0.0ms | y | @ | -inf | (/.f64 (sinh.f64 y) x) |
| 0.0ms | x | @ | -inf | (/.f64 (sinh.f64 y) x) |
| 0.0ms | y | @ | 0 | (/.f64 (sinh.f64 y) 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 | 32 |
| 1 | 187 | 32 |
| 2 | 2466 | 32 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.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 |
| 936× | associate-/l* |
| 692× | distribute-rgt-in |
| 690× | distribute-lft-in |
| 602× | associate-/l/ |
| 586× | distribute-frac-neg |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 462 | 6382 |
| 1 | 1179 | 6268 |
| 2 | 4851 | 6192 |
| 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)) |
(/.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)) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (sin.f64 x)) (cbrt.f64 x)) |
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 1 (sinh.f64 y))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (sin.f64 x) x)) 2) |
(/.f64 (*.f64 (*.f64 -2 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) -2) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sin.f64 x)) (/.f64 x (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (/.f64 (*.f64 (sinh.f64 y) 2) x) (sin.f64 x)) 2) |
(/.f64 (*.f64 -1 (sin.f64 x)) (/.f64 x (neg.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) 1) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) 1) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) 1) (cbrt.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) (sqrt.f64 x)) |
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y))))) (sqrt.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y))))) (sqrt.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (sinh.f64 y))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y))))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 2)) (cbrt.f64 x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) (pow.f64 x -1)) 2) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (cbrt.f64 (/.f64 x (sinh.f64 y))))) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 x (*.f64 (sinh.f64 y) 2))) 2) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) (/.f64 x (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 x (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (sqrt.f64 (sinh.f64 y)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) (/.f64 (cbrt.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 (cbrt.f64 x) (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) 1) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) -1) x) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) 1) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) 1) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 3) |
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 3) 1/3) |
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (sin.f64 x))) |
(neg.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 x)))) |
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))))) |
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(exp.f64 (log.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 y) x))) 1) |
(*.f64 (sinh.f64 y) (pow.f64 x -1)) |
(*.f64 (/.f64 (sinh.f64 y) x) 1) |
(*.f64 1 (/.f64 (sinh.f64 y) x)) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sqrt.f64 (sinh.f64 y)) x)) |
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (/.f64 (sinh.f64 y) x))) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (cbrt.f64 (sinh.f64 y)) x)) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) |
(*.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 (pow.f64 x -1) (sinh.f64 y)) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 -1 x)) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) x) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) x) (/.f64 (sqrt.f64 (sinh.f64 y)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (sinh.f64 y)) x) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 x) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.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 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.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 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (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 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) x) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y))) |
(*.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 (*.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 (*.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 (*.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))))) |
(pow.f64 (/.f64 (sinh.f64 y) x) 1) |
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3) 1/3) |
(pow.f64 (/.f64 x (sinh.f64 y)) -1) |
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) x)) |
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) 1)) |
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 -1 x))) |
(neg.f64 (*.f64 1 (/.f64 (sinh.f64 y) (neg.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 2)) |
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 y) x)))) |
(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 (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)))) |
(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 (sin.f64 x) (/.f64 x (pow.f64 y 5))) (fma.f64 1/5040 (*.f64 (/.f64 (pow.f64 y 7) x) (sin.f64 x)) (*.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)) (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 (*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) 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 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) 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 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) 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 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) 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 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
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(/.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 (/.f64 (sinh.f64 y) (sqrt.f64 x)) 1) (sqrt.f64 x)) |
(/.f64 (sinh.f64 y) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) 1) (sqrt.f64 x)) |
(/.f64 (sinh.f64 y) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (sinh.f64 y) 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 (sinh.f64 y) x) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (sinh.f64 y) 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 (/.f64 (sinh.f64 y) (sqrt.f64 x)) 1) (sqrt.f64 x)) |
(/.f64 (sinh.f64 y) (*.f64 (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 (/.f64 (sinh.f64 y) (sqrt.f64 x)) 1) (sqrt.f64 x)) |
(/.f64 (sinh.f64 y) (*.f64 (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 (*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (pow.f64 (cbrt.f64 x) 2)) |
(*.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 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (sqrt.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 (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 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) (sqrt.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 (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 | (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 | x | @ | 0 | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| 0.0ms | y | @ | 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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(neg.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(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 x (*.f64 (sin.f64 x) (sinh.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (/.f64 (neg.f64 x) (sin.f64 x))))))) (#(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)))))))) |
| 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)))) |
(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 (sin.f64 x) (/.f64 x (pow.f64 y 5))) (fma.f64 1/5040 (*.f64 (/.f64 (pow.f64 y 7) x) (sin.f64 x)) (*.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)) (fma.f64 1/5040 (*.f64 (/.f64 (pow.f64 y 7) 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 (*.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 -1/12 (*.f64 x x)))) |
(+.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 (pow.f64 x 6) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/10080))))) |
(+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 -1/12 (*.f64 x x)))) (*.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 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)))))) |
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(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) 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 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) x) (/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) 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 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) 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 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) 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 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) 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 (sin.f64 x) x) (sinh.f64 y)) |
(*.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 (/.f64 (sin.f64 x) x) (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 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 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 x (sin.f64 x))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sinh.f64 y) -1) (neg.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (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 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) 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 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) 1) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) 1) (/.f64 (sin.f64 x) 1)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.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 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) x) -1) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) -1) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (neg.f64 x))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x))) 1) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (sinh.f64 y) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (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 (sinh.f64 y) (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (/.f64 (sin.f64 x) x))) (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 (sin.f64 x))))) |
(*.f64 (*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (/.f64 (sin.f64 x) 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 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (*.f64 (sinh.f64 y) (cbrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(*.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))) |
(*.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)))) |
(*.f64 (/.f64 (sinh.f64 y) (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (cbrt.f64 (neg.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (neg.f64 x))) |
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(pow.f64 (cbrt.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)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) -1) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(neg.f64 (/.f64 (sinh.f64 y) (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) |
(fabs.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) |
(log.f64 (exp.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)) |
(log.f64 (+.f64 1 (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)) |
(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)) |
| ✓ | 9.3b | (/.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 | y | @ | 0 | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 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 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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)))) |
(+.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 1/2 (/.f64 (*.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 1/2 (/.f64 (*.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 1/2 (/.f64 (*.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 1/2 (/.f64 (*.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 1/2 (/.f64 (*.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 1/2 (/.f64 (*.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 1/2 (/.f64 (*.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 1/2 (/.f64 (*.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 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(+.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))) |
(fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)) (*.f64 (/.f64 (sin.f64 x) x) y)) |
(+.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 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(fma.f64 1/6 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)) (fma.f64 1/120 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 5)) (*.f64 (/.f64 (sin.f64 x) x) y))) |
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(/.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 19254 to 6709 computations (65.2% saved)
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1188 | 9 | 1197 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 1 | 3 |
| Total | 1190 | 11 | 1201 |
| Status | Error | Program |
|---|---|---|
| 9.4b | (/.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) x) | |
| ▶ | 0.2b | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y))) |
| ✓ | 9.3b | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| ▶ | 10.5b | (/.f64 (*.f64 (sin.f64 x) y) x) |
| ✓ | 0.1b | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| ▶ | 36.6b | (/.f64 (sinh.f64 y) 1) |
| 1.3b | (/.f64 y (/.f64 x (sin.f64 x))) | |
| ▶ | 9.8b | (/.f64 1 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) |
| ▶ | 1.2b | (*.f64 (/.f64 (sin.f64 x) x) y) |
| 1.3b | (*.f64 (/.f64 y x) (sin.f64 x)) | |
| 9.4b | (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sinh.f64 y))) |
Compiled 182 to 126 computations (30.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.0b | (/.f64 1 (sinh.f64 y)) |
| 0.1b | (/.f64 (sin.f64 x) x) | |
| ✓ | 0.2b | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y))) |
Compiled 26 to 11 computations (57.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | 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) x) (/.f64 1 (sinh.f64 y))) |
| 0.0ms | y | @ | 0 | (/.f64 1 (sinh.f64 y)) |
| 0.0ms | y | @ | inf | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y))) |
| 1× | batch-egg-rewrite |
| 922× | unswap-sqr |
| 894× | associate-/r/ |
| 772× | swap-sqr |
| 724× | associate-/l/ |
| 442× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 38 |
| 1 | 234 | 32 |
| 2 | 3243 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y))) |
(/.f64 1 (sinh.f64 y)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))))))) |
((#(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 (cbrt.f64 (/.f64 1 (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)) (cbrt.f64 (/.f64 1 (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 (/.f64 -1 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))))) (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) 3/2) (pow.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) 1/6))))) (#(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 (cbrt.f64 (/.f64 1 (sinh.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (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 (/.f64 1 (pow.f64 (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 |
| 1518× | unswap-sqr |
| 568× | distribute-rgt-in |
| 566× | distribute-lft-in |
| 480× | *-commutative |
| 422× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 374 | 4807 |
| 1 | 968 | 4699 |
| 2 | 3626 | 4599 |
| 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 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 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) 1) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 1 x) (sinh.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 1) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sinh.f64 y))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (sinh.f64 y))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (sinh.f64 y))) |
(*.f64 -1 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) (sinh.f64 y)))) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sinh.f64 y)) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) 1) (sinh.f64 y)) (/.f64 1 x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (*.f64 (/.f64 (sin.f64 x) x) (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (sin.f64 x) 1) (*.f64 (/.f64 1 x) (sinh.f64 y))) |
(*.f64 (*.f64 (/.f64 1 x) (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (sinh.f64 y)) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (sinh.f64 y))) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sinh.f64 y) -1/2)) (/.f64 1 (*.f64 (pow.f64 (sinh.f64 y) -1/2) x))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (/.f64 (/.f64 1 x) (cbrt.f64 (/.f64 1 (sinh.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 1 (sinh.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (pow.f64 (sinh.f64 y) -1/2)) (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (sinh.f64 y) -1/2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (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 1 (/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y)))) (/.f64 1 x)) |
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (sinh.f64 y))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (/.f64 1 (sinh.f64 y))) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 x x))) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 x 1)) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.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 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (sinh.f64 y))) 1) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) x) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) 1) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) x) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) -1) (cbrt.f64 (neg.f64 (sinh.f64 y)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))))) |
(*.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (/.f64 (sin.f64 x) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 3) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) -1/2) (pow.f64 (*.f64 1 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) -1/2)) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 3) 1/3) |
(pow.f64 (*.f64 1 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) -1) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) (sinh.f64 y)))) |
(neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) (sinh.f64 y))))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) (sinh.f64 y))) 1)) |
(neg.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (neg.f64 x)))) |
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) (sinh.f64 y))) 1)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (/.f64 1 (pow.f64 (sinh.f64 y) 3)))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) 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 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (neg.f64 (/.f64 -1 (cbrt.f64 (sinh.f64 y))))) |
(*.f64 (/.f64 -1 (sinh.f64 y)) -1) |
(*.f64 -1 (/.f64 -1 (sinh.f64 y))) |
(*.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)) (cbrt.f64 (/.f64 1 (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 (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 -1 (*.f64 -2 (sinh.f64 y))) 2) |
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (cbrt.f64 (/.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 (/.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)))) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (cbrt.f64 (/.f64 1 (sinh.f64 y))))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (cbrt.f64 (/.f64 1 (sinh.f64 y))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))))) (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) 3/2) (pow.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) 3/2)) |
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) 1/6)) |
(pow.f64 (/.f64 1 (sinh.f64 y)) 1) |
(pow.f64 (pow.f64 (sinh.f64 y) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) 3) |
(pow.f64 (/.f64 1 (pow.f64 (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 (/.f64 1 (pow.f64 (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 -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)))) |
(+.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)) |
(/.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) |
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(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (cbrt.f64 (/.f64 1 (sinh.f64 y))))) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (cbrt.f64 (/.f64 1 (sinh.f64 y))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))) (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)))) |
(*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))))) (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y)))))) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)) (cbrt.f64 (pow.f64 (sinh.f64 y) -1/2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) 3/2) (pow.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) 3/2)) |
(/.f64 1 (sinh.f64 y)) |
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) 1/6)) |
(cbrt.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3))) |
(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 (cbrt.f64 (/.f64 1 (sinh.f64 y))) 3) |
(/.f64 1 (sinh.f64 y)) |
(pow.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) 1/3) |
(cbrt.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3))) |
(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)) |
(/.f64 1 (sinh.f64 y)) |
(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 (/.f64 1 (pow.f64 (sinh.f64 y) 3))) |
(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)) |
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 (/.f64 (sin.f64 x) x) y) |
| 0.1b | (/.f64 (sin.f64 x) x) |
Compiled 16 to 5 computations (68.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 (sin.f64 x) x) y) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 (sin.f64 x) x) y) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 (sin.f64 x) x) y) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 (sin.f64 x) x) y) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 (sin.f64 x) x) y) |
| 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 (sin.f64 x) 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 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 (sin.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) y)) (neg.f64 x))))) (#(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 sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.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))))))) |
| 1× | egg-herbie |
| 1330× | associate-*r* |
| 1224× | associate-*l* |
| 748× | associate-+r+ |
| 680× | associate-+l+ |
| 456× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 867 |
| 1 | 190 | 855 |
| 2 | 692 | 855 |
| 3 | 5005 | 855 |
| 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 (/.f64 (sin.f64 x) x) y))) 1) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) y))) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(/.f64 (*.f64 y (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) 1) x) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) y)) (neg.f64 x)) |
(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) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 2)) |
(log.f64 (pow.f64 (exp.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))) |
| 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) |
(fma.f64 y (*.f64 x (*.f64 x -1/6)) 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 y (*.f64 1/120 (pow.f64 x 4)) y)) |
(fma.f64 y (*.f64 x (*.f64 x -1/6)) (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 -1/5040 (pow.f64 x 6)) (fma.f64 y (*.f64 -1/6 (*.f64 x x)) (fma.f64 y (*.f64 1/120 (pow.f64 x 4)) y))) |
(fma.f64 y (*.f64 -1/5040 (pow.f64 x 6)) (fma.f64 y (*.f64 x (*.f64 x -1/6)) (fma.f64 y (*.f64 1/120 (pow.f64 x 4)) y))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) 1) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.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 1 (/.f64 x (*.f64 (sin.f64 x) y))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) 1) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) y)) (neg.f64 x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 3) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3) 1/3) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 2)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) x)) y)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 1)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (sin.f64 x) y) |
| ✓ | 9.3b | (/.f64 (*.f64 (sin.f64 x) y) x) |
Compiled 16 to 5 computations (68.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (/.f64 (*.f64 (sin.f64 x) y) x) |
| 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) |
| 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 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.1b | (*.f64 (sinh.f64 y) (sin.f64 x)) |
| ✓ | 0.6b | (/.f64 1 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) |
| ✓ | 9.4b | (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) |
Compiled 30 to 9 computations (70% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 70.0ms | x | @ | -inf | (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) |
| 1.0ms | y | @ | 0 | (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) |
| 1.0ms | x | @ | 0 | (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) |
| 1.0ms | y | @ | inf | (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) |
| 1.0ms | y | @ | -inf | (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) |
| 1× | batch-egg-rewrite |
| 1594× | associate-*r/ |
| 1330× | associate-/l* |
| 1170× | associate-*l/ |
| 1106× | *-commutative |
| 402× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 63 |
| 1 | 228 | 57 |
| 2 | 2995 | 57 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) |
(/.f64 1 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (sinh.f64 y) (sin.f64 x)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1466× | distribute-lft-in |
| 700× | associate-*r* |
| 628× | associate-/l* |
| 598× | *-commutative |
| 574× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 524 | 9652 |
| 1 | 1407 | 7922 |
| 2 | 5848 | 7922 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 2 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (*.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 2 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (*.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (*.f64 31/7560 (/.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 2 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 y x) (sin.f64 x))) (/.f64 x (*.f64 y (sin.f64 x)))) |
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 y x) (sin.f64 x))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (/.f64 x (sin.f64 x))) (*.f64 -1/36 (/.f64 x (sin.f64 x)))) (pow.f64 y 3))) (/.f64 x (*.f64 y (sin.f64 x))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (+.f64 (*.f64 1/120 (/.f64 x (sin.f64 x))) (*.f64 -1/36 (/.f64 x (sin.f64 x))))) (+.f64 (*.f64 1/5040 (/.f64 x (sin.f64 x))) (*.f64 -1/720 (/.f64 x (sin.f64 x))))) (pow.f64 y 5))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 y x) (sin.f64 x))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (/.f64 x (sin.f64 x))) (*.f64 -1/36 (/.f64 x (sin.f64 x)))) (pow.f64 y 3))) (/.f64 x (*.f64 y (sin.f64 x)))))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.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)) |
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(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(*.f64 (pow.f64 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) -1) (/.f64 1 x)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) 2) -1)) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (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 (sinh.f64 y) (sin.f64 x))) 2))) (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 (/.f64 x (sinh.f64 y)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (neg.f64 (/.f64 x (sinh.f64 y)))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (neg.f64 (neg.f64 x))) (neg.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 1) (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 (sinh.f64 y) (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 x) -1) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sinh.f64 y))) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sin.f64 x))) (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))) (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 2))) (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (/.f64 -1 (neg.f64 (/.f64 x (sinh.f64 y)))) (sin.f64 x)) |
(*.f64 (/.f64 -1 (neg.f64 (neg.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) 2)) 1) (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) 2)) (cbrt.f64 x)) (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) 2)) (cbrt.f64 (/.f64 x (sinh.f64 y)))) (cbrt.f64 (sin.f64 x))) |
(pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1) |
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 3) |
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -2)) |
(log.f64 (exp.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))))) |
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(exp.f64 (log.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(exp.f64 (-.f64 (log.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (log.f64 x))) |
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) 1) |
(/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) |
(/.f64 (sin.f64 x) (/.f64 2 (*.f64 (sinh.f64 y) 2))) |
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 1) |
(/.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))) |
(/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (/.f64 1 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))))) |
(/.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 2) (/.f64 1 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 1 (*.f64 (sin.f64 x) (cbrt.f64 (sinh.f64 y))))) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x))))) |
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 (sin.f64 x))) |
(/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 1 (cbrt.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) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) 2) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (*.f64 (sinh.f64 y) 2))) -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 (neg.f64 (*.f64 (sinh.f64 y) 2)) (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 (sinh.f64 y) (sin.f64 x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 2)) |
(log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (sin.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(exp.f64 (log.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
| Outputs |
|---|
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 1 (sinh.f64 y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 2 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1 (sinh.f64 y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (*.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 2 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1 (sinh.f64 y)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (*.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (*.f64 31/7560 (/.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 2 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 31/7560 (/.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 31/7560 (/.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1 (sinh.f64 y))))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 y x) (sin.f64 x))) (/.f64 x (*.f64 y (sin.f64 x)))) |
(fma.f64 -1/6 (/.f64 (*.f64 y x) (sin.f64 x)) (/.f64 (/.f64 x y) (sin.f64 x))) |
(fma.f64 -1/6 (/.f64 y (/.f64 (sin.f64 x) x)) (/.f64 (/.f64 x y) (sin.f64 x))) |
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 y x) (sin.f64 x))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (/.f64 x (sin.f64 x))) (*.f64 -1/36 (/.f64 x (sin.f64 x)))) (pow.f64 y 3))) (/.f64 x (*.f64 y (sin.f64 x))))) |
(fma.f64 -1/6 (/.f64 (*.f64 y x) (sin.f64 x)) (fma.f64 -1 (*.f64 (*.f64 (/.f64 x (sin.f64 x)) -7/360) (pow.f64 y 3)) (/.f64 (/.f64 x y) (sin.f64 x)))) |
(fma.f64 -1/6 (/.f64 y (/.f64 (sin.f64 x) x)) (-.f64 (/.f64 (/.f64 x y) (sin.f64 x)) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 -7/360 (pow.f64 y 3))))) |
(-.f64 (fma.f64 -1/6 (/.f64 y (/.f64 (sin.f64 x) x)) (/.f64 (/.f64 x y) (sin.f64 x))) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 -7/360 (pow.f64 y 3)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (+.f64 (*.f64 1/120 (/.f64 x (sin.f64 x))) (*.f64 -1/36 (/.f64 x (sin.f64 x))))) (+.f64 (*.f64 1/5040 (/.f64 x (sin.f64 x))) (*.f64 -1/720 (/.f64 x (sin.f64 x))))) (pow.f64 y 5))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 y x) (sin.f64 x))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (/.f64 x (sin.f64 x))) (*.f64 -1/36 (/.f64 x (sin.f64 x)))) (pow.f64 y 3))) (/.f64 x (*.f64 y (sin.f64 x)))))) |
(fma.f64 -1 (*.f64 (fma.f64 -1/6 (*.f64 (/.f64 x (sin.f64 x)) -7/360) (*.f64 (/.f64 x (sin.f64 x)) -1/840)) (pow.f64 y 5)) (fma.f64 -1/6 (/.f64 (*.f64 y x) (sin.f64 x)) (fma.f64 -1 (*.f64 (*.f64 (/.f64 x (sin.f64 x)) -7/360) (pow.f64 y 3)) (/.f64 (/.f64 x y) (sin.f64 x))))) |
(-.f64 (fma.f64 -1/6 (/.f64 y (/.f64 (sin.f64 x) x)) (-.f64 (/.f64 (/.f64 x y) (sin.f64 x)) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 -7/360 (pow.f64 y 3))))) (*.f64 (fma.f64 (/.f64 x (sin.f64 x)) -1/840 (*.f64 (/.f64 x (sin.f64 x)) 7/2160)) (pow.f64 y 5))) |
(-.f64 (-.f64 (fma.f64 -1/6 (/.f64 y (/.f64 (sin.f64 x) x)) (/.f64 (/.f64 x y) (sin.f64 x))) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 -7/360 (pow.f64 y 3)))) (*.f64 (fma.f64 (/.f64 x (sin.f64 x)) -1/840 (*.f64 (/.f64 x (sin.f64 x)) 7/2160)) (pow.f64 y 5))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 2 (/.f64 x (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 (/.f64 x (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
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(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
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(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x)))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) (sqrt.f64 (/.f64 x (sinh.f64 y))))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (sqrt.f64 (/.f64 x (sinh.f64 y))))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 (sinh.f64 y) (sin.f64 x))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (/.f64 1 x) -1) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sinh.f64 y))) (sin.f64 x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sin.f64 x))) (sinh.f64 y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))) (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 2))) (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 -1 (neg.f64 (/.f64 x (sinh.f64 y)))) (sin.f64 x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 -1 (neg.f64 (neg.f64 x))) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) 2)) 1) (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(/.f64 (*.f64 1 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))) 2)) |
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))) 2)) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) 2)) (cbrt.f64 x)) (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))) 2)))) |
(/.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))) 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))) |
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))) 2))) (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))) |
(*.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))) 2) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x))) 2)) (cbrt.f64 (/.f64 x (sinh.f64 y)))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))) 2)))) |
(/.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))) 2) (cbrt.f64 (/.f64 x (sinh.f64 y))))) |
(pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 1) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 2) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 3) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 3) 1/3) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -2)) |
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) -2)) |
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) |
(log.f64 (exp.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 3)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 3) (pow.f64 x 3))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(exp.f64 (log.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(exp.f64 (-.f64 (log.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (log.f64 x))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) 1) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (sinh.f64 y) (/.f64 1 (sin.f64 x))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (sin.f64 x) (/.f64 2 (*.f64 (sinh.f64 y) 2))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 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 (sinh.f64 y) (sin.f64 x))) (/.f64 1 (sqrt.f64 (*.f64 (sinh.f64 y) (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 (sqrt.f64 (sin.f64 x)) (/.f64 1 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 2))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 2) (/.f64 1 (cbrt.f64 (*.f64 (sinh.f64 y) (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 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 (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 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 1 (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x)))) |
(/.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 (*.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 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) 2) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (*.f64 (sinh.f64 y) 2))) -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 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (/.f64 (sqrt.f64 2) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))))) |
(*.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 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 2)) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (sinh.f64 y) 2)) (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 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (/.f64 (sqrt.f64 2) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2)) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) |
(pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 1) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 2) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 3) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 3) 1/3) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 2)) |
(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 (sinh.f64 y)) (sin.f64 x))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 3)) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (sin.f64 x) 3))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(exp.f64 (log.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
Compiled 16457 to 6893 computations (58.1% saved)
16 alts after pruning (12 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 984 | 10 | 994 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 4 | 6 |
| Total | 989 | 16 | 1005 |
| Status | Error | Program |
|---|---|---|
| 9.4b | (/.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) x) | |
| 1.3b | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) | |
| ▶ | 1.1b | (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| 36.9b | (/.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) 1) | |
| ✓ | 10.5b | (/.f64 (*.f64 (sin.f64 x) y) x) |
| ▶ | 46.4b | (/.f64 (*.f64 y x) x) |
| ✓ | 0.1b | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| ✓ | 36.6b | (/.f64 (sinh.f64 y) 1) |
| 1.7b | (/.f64 (sin.f64 x) (/.f64 x y)) | |
| ▶ | 1.8b | (/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x))) |
| 11.0b | (/.f64 1 (/.f64 x (*.f64 (sin.f64 x) y))) | |
| ✓ | 1.2b | (*.f64 (/.f64 (sin.f64 x) x) y) |
| ▶ | 1.3b | (*.f64 (/.f64 y x) (sin.f64 x)) |
| ▶ | 10.5b | (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y)) |
| 38.5b | (*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y) | |
| 37.1b | y |
Compiled 254 to 177 computations (30.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 1 y) (*.f64 y -1/6)) |
| 0.1b | (/.f64 (sin.f64 x) x) | |
| ✓ | 0.2b | (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| ✓ | 0.3b | (*.f64 y -1/6) |
Compiled 37 to 21 computations (43.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| 1.0ms | x | @ | -inf | (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| 1.0ms | x | @ | 0 | (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| 1.0ms | y | @ | inf | (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| 0.0ms | y | @ | 0 | (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| 1× | batch-egg-rewrite |
| 898× | associate-/r/ |
| 716× | associate-/l/ |
| 672× | distribute-rgt-in |
| 642× | distribute-lft-in |
| 544× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 61 |
| 1 | 280 | 53 |
| 2 | 3851 | 53 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y -1/6) |
(/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(+.f64 (/.f64 1 y) (*.f64 y -1/6)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 978× | associate-/r* |
| 878× | times-frac |
| 870× | associate-*r* |
| 674× | *-commutative |
| 626× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 499 | 8843 |
| 1 | 1474 | 8221 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
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(*.f64 (/.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)))) (-.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)))) (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) x)) (sqrt.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)))) (sqrt.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y)))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) x)) (sqrt.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)))) (sqrt.f64 (-.f64 (/.f64 1 y) (*.f64 y -1/6)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2) x)) (cbrt.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)))) (cbrt.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y)))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2) x)) (cbrt.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)))) (cbrt.f64 (-.f64 (/.f64 1 y) (*.f64 y -1/6)))) |
(pow.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y))))) 3) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) 3) 1/3) |
(pow.f64 (*.f64 (fma.f64 y -1/6 (/.f64 1 y)) (/.f64 x (sin.f64 x))) -1) |
(neg.f64 (/.f64 (/.f64 (sin.f64 x) x) (neg.f64 (fma.f64 y -1/6 (/.f64 1 y))))) |
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) 2)) |
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y))))))) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))))) |
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (*.f64 x (fma.f64 y -1/6 (/.f64 1 y)))))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y -1/6 (/.f64 1 y)))) 1) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 y))) (-.f64 1 (*.f64 y -1/6))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y -1/6))) (-.f64 1 (/.f64 1 y))) |
(-.f64 (/.f64 (pow.f64 y -2) (-.f64 (/.f64 1 y) (*.f64 y -1/6))) (/.f64 (*.f64 (*.f64 y y) 1/36) (-.f64 (/.f64 1 y) (*.f64 y -1/6)))) |
(-.f64 (+.f64 (*.f64 y -1/6) (exp.f64 (log1p.f64 (/.f64 1 y)))) 1) |
(-.f64 (+.f64 (/.f64 1 y) (exp.f64 (log1p.f64 (*.f64 y -1/6)))) 1) |
(*.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) |
(*.f64 (fma.f64 y -1/6 (/.f64 1 y)) 1) |
(*.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(*.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y)))))) |
(*.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2) (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2) (neg.f64 (neg.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y)))))) |
(*.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)) (/.f64 1 (-.f64 (/.f64 1 y) (*.f64 y -1/6)))) |
(*.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)) (/.f64 1 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y)))))) |
(*.f64 -1 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y)))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y)))))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y)))) (cbrt.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y))))) (neg.f64 (cbrt.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y)))))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y)))) (neg.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2)) (neg.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))))) |
(*.f64 (/.f64 1 (-.f64 (/.f64 1 y) (*.f64 y -1/6))) (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y))))) (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)) (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36))) (fma.f64 y -1/6 (/.f64 1 y))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)) (-.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216))) (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y -1/6) (fma.f64 y -1/6 (/.f64 1 y))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)) (-.f64 (*.f64 (pow.f64 y -2) (pow.f64 y -2)) (*.f64 (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y))) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y)))))) (+.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)) (/.f64 (*.f64 y -1/6) y))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)) (+.f64 (pow.f64 (pow.f64 y -2) 3) (pow.f64 (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y))) 3))) (+.f64 (*.f64 (pow.f64 y -2) (pow.f64 y -2)) (*.f64 (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y))) (-.f64 (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y))) (pow.f64 y -2))))) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y))))) (sqrt.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y)))) (cbrt.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y)))))) (cbrt.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))))) (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2))) (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(/.f64 1 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))) |
(/.f64 1 (/.f64 (-.f64 (/.f64 1 y) (*.f64 y -1/6)) (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y)))) (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)))) |
(/.f64 (fma.f64 y -1/6 (/.f64 1 y)) 1) |
(/.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)) (-.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)) (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36))) (neg.f64 (-.f64 (/.f64 1 y) (*.f64 y -1/6)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216))) (neg.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y -3) (pow.f64 y -3)) (*.f64 (*.f64 (pow.f64 y 3) -1/216) (*.f64 (pow.f64 y 3) -1/216))) (*.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y)))) (-.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) 1/36) (pow.f64 y -2)) (-.f64 (*.f64 y -1/6) (/.f64 1 y))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y -2) (pow.f64 y -2)) (*.f64 (*.f64 (*.f64 y y) 1/36) (*.f64 (*.f64 y y) 1/36))) (*.f64 (-.f64 (/.f64 1 y) (*.f64 y -1/6)) (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 y -3) 3) (pow.f64 (*.f64 (pow.f64 y 3) -1/216) 3)) (*.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y)))) (+.f64 (*.f64 (pow.f64 y -3) (pow.f64 y -3)) (*.f64 (*.f64 (pow.f64 y 3) -1/216) (-.f64 (*.f64 (pow.f64 y 3) -1/216) (pow.f64 y -3)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 y -2) 3) (pow.f64 (*.f64 (*.f64 y y) 1/36) 3)) (*.f64 (-.f64 (/.f64 1 y) (*.f64 y -1/6)) (+.f64 (*.f64 (pow.f64 y -2) (pow.f64 y -2)) (*.f64 (*.f64 (*.f64 y y) 1/36) (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36)))))) |
(pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 1) |
(pow.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 3) |
(pow.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 3) 1/3) |
(neg.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(sqrt.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 2)) |
(log.f64 (exp.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y -1/6 (/.f64 1 y))))) |
(cbrt.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(exp.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(fma.f64 y -1/6 (/.f64 1 y)) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(fma.f64 1 (*.f64 y -1/6) (/.f64 1 y)) |
(fma.f64 1 (/.f64 1 y) (*.f64 y -1/6)) |
(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (*.f64 y -1/6)) |
(fma.f64 (sqrt.f64 (*.f64 y -1/6)) (sqrt.f64 (*.f64 y -1/6)) (/.f64 1 y)) |
(fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) (*.f64 y -1/6)) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 y y) 1/36)) (cbrt.f64 (*.f64 y -1/6)) (/.f64 1 y)) |
| Outputs |
|---|
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(*.f64 -1/6 y) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 1 (fma.f64 -1/6 y (/.f64 1 y))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(+.f64 (/.f64 (*.f64 -1/6 (*.f64 x x)) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(fma.f64 -1/6 (/.f64 (*.f64 x x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))) |
(+.f64 (fma.f64 1/120 (/.f64 (pow.f64 x 4) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 (*.f64 -1/6 (*.f64 x x)) (fma.f64 -1/6 y (/.f64 1 y)))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(+.f64 (fma.f64 -1/6 (/.f64 (*.f64 x x) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) (*.f64 1/120 (/.f64 (pow.f64 x 4) (fma.f64 -1/6 y (/.f64 1 y))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 x 6) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))))) |
(+.f64 (fma.f64 -1/5040 (/.f64 (pow.f64 x 6) (fma.f64 -1/6 y (/.f64 1 y))) (fma.f64 1/120 (/.f64 (pow.f64 x 4) (fma.f64 -1/6 y (/.f64 1 y))) (/.f64 (*.f64 -1/6 (*.f64 x x)) (fma.f64 -1/6 y (/.f64 1 y))))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(+.f64 (fma.f64 -1/5040 (/.f64 (pow.f64 x 6) (fma.f64 -1/6 y (/.f64 1 y))) (fma.f64 -1/6 (/.f64 (*.f64 x x) (fma.f64 -1/6 y (/.f64 1 y))) (*.f64 1/120 (/.f64 (pow.f64 x 4) (fma.f64 -1/6 y (/.f64 1 y)))))) (/.f64 1 (fma.f64 -1/6 y (/.f64 1 y)))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1/6 y (/.f64 1 y))) |
(/.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 1/36 (/.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 1/36 (/.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 1/36 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x)))) |
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(fma.f64 -1/6 y (/.f64 1 y)) |
(/.f64 1 (/.f64 (-.f64 (/.f64 1 y) (*.f64 y -1/6)) (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)))) |
(*.f64 (+.f64 (pow.f64 y -2) (*.f64 y (*.f64 y -1/36))) (/.f64 1 (-.f64 (/.f64 1 y) (*.f64 -1/6 y)))) |
(/.f64 (fma.f64 y (*.f64 y -1/36) (pow.f64 y -2)) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y)))) (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)))) |
(/.f64 (*.f64 1 (+.f64 (*.f64 (pow.f64 y 3) -1/216) (pow.f64 y -3))) (+.f64 (pow.f64 y -2) (*.f64 y (*.f64 -1/6 (-.f64 (*.f64 -1/6 y) (/.f64 1 y)))))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3)) (fma.f64 y (*.f64 -1/6 (fma.f64 -1/6 y (/.f64 -1 y))) (pow.f64 y -2))) |
(/.f64 (fma.f64 y -1/6 (/.f64 1 y)) 1) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(/.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36)) (-.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(*.f64 (+.f64 (pow.f64 y -2) (*.f64 y (*.f64 y -1/36))) (/.f64 1 (-.f64 (/.f64 1 y) (*.f64 -1/6 y)))) |
(/.f64 (fma.f64 y (*.f64 y -1/36) (pow.f64 y -2)) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) |
(/.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)) (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y))))) |
(/.f64 (*.f64 1 (+.f64 (*.f64 (pow.f64 y 3) -1/216) (pow.f64 y -3))) (+.f64 (pow.f64 y -2) (*.f64 y (*.f64 -1/6 (-.f64 (*.f64 -1/6 y) (/.f64 1 y)))))) |
(/.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3)) (fma.f64 y (*.f64 -1/6 (fma.f64 -1/6 y (/.f64 -1 y))) (pow.f64 y -2))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) -1/36))) (neg.f64 (-.f64 (/.f64 1 y) (*.f64 y -1/6)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y -2) (*.f64 y (*.f64 y -1/36)))) (neg.f64 (-.f64 (/.f64 1 y) (*.f64 -1/6 y)))) |
(/.f64 (-.f64 (*.f64 y (*.f64 y 1/36)) (pow.f64 y -2)) (fma.f64 -1/6 y (/.f64 -1 y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216))) (neg.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y)))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) -1/216) (pow.f64 y -3))) (neg.f64 (+.f64 (pow.f64 y -2) (*.f64 y (*.f64 -1/6 (-.f64 (*.f64 -1/6 y) (/.f64 1 y))))))) |
(*.f64 1 (/.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3)) (fma.f64 y (*.f64 -1/6 (fma.f64 -1/6 y (/.f64 -1 y))) (pow.f64 y -2)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y -3) (pow.f64 y -3)) (*.f64 (*.f64 (pow.f64 y 3) -1/216) (*.f64 (pow.f64 y 3) -1/216))) (*.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y)))) (-.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 y -6) (*.f64 (*.f64 (pow.f64 y 3) (pow.f64 y 3)) 1/46656)) (+.f64 (pow.f64 y -2) (*.f64 y (*.f64 -1/6 (-.f64 (*.f64 -1/6 y) (/.f64 1 y)))))) (-.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216))) |
(/.f64 (/.f64 (+.f64 (pow.f64 y -6) (*.f64 (pow.f64 y 6) -1/46656)) (fma.f64 y (*.f64 -1/6 (fma.f64 -1/6 y (/.f64 -1 y))) (pow.f64 y -2))) (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) 1/216))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) 1/36) (pow.f64 y -2)) (-.f64 (*.f64 y -1/6) (/.f64 1 y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y -2) (*.f64 y (*.f64 y -1/36)))) (neg.f64 (-.f64 (/.f64 1 y) (*.f64 -1/6 y)))) |
(/.f64 (-.f64 (*.f64 y (*.f64 y 1/36)) (pow.f64 y -2)) (fma.f64 -1/6 y (/.f64 -1 y))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y -2) (pow.f64 y -2)) (*.f64 (*.f64 (*.f64 y y) 1/36) (*.f64 (*.f64 y y) 1/36))) (*.f64 (-.f64 (/.f64 1 y) (*.f64 y -1/6)) (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36)))) |
(/.f64 (-.f64 (pow.f64 y -4) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) 1/1296)) (*.f64 (-.f64 (/.f64 1 y) (*.f64 -1/6 y)) (+.f64 (*.f64 1/36 (*.f64 y y)) (pow.f64 y -2)))) |
(/.f64 (+.f64 (pow.f64 y -4) (*.f64 (*.f64 y (pow.f64 y 3)) -1/1296)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (fma.f64 y (*.f64 y 1/36) (pow.f64 y -2)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 y -3) 3) (pow.f64 (*.f64 (pow.f64 y 3) -1/216) 3)) (*.f64 (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y -1/6) (-.f64 (*.f64 y -1/6) (/.f64 1 y)))) (+.f64 (*.f64 (pow.f64 y -3) (pow.f64 y -3)) (*.f64 (*.f64 (pow.f64 y 3) -1/216) (-.f64 (*.f64 (pow.f64 y 3) -1/216) (pow.f64 y -3)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 y -3) 3) (*.f64 (pow.f64 (pow.f64 y 3) 3) -1/10077696)) (+.f64 (pow.f64 y -2) (*.f64 y (*.f64 -1/6 (-.f64 (*.f64 -1/6 y) (/.f64 1 y)))))) (+.f64 (pow.f64 y -6) (*.f64 (pow.f64 y 3) (*.f64 -1/216 (fma.f64 (pow.f64 y 3) -1/216 (neg.f64 (pow.f64 y -3))))))) |
(/.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/10077696 (pow.f64 (pow.f64 y -3) 3)) (*.f64 (fma.f64 y (*.f64 -1/6 (fma.f64 -1/6 y (/.f64 -1 y))) (pow.f64 y -2)) (fma.f64 (*.f64 (pow.f64 y 3) -1/216) (-.f64 (*.f64 (pow.f64 y 3) -1/216) (pow.f64 y -3)) (pow.f64 y -6)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 y -2) 3) (pow.f64 (*.f64 (*.f64 y y) 1/36) 3)) (*.f64 (-.f64 (/.f64 1 y) (*.f64 y -1/6)) (+.f64 (*.f64 (pow.f64 y -2) (pow.f64 y -2)) (*.f64 (*.f64 (*.f64 y y) 1/36) (+.f64 (pow.f64 y -2) (*.f64 (*.f64 y y) 1/36)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 y -2) 3) (*.f64 (pow.f64 (*.f64 y y) 3) 1/46656)) (-.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (pow.f64 y -4) (*.f64 (*.f64 1/36 (*.f64 y y)) (+.f64 (*.f64 1/36 (*.f64 y y)) (pow.f64 y -2))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 y -2) 3) (*.f64 (pow.f64 y 6) -1/46656)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y 1/6)) (fma.f64 (*.f64 y (*.f64 y 1/36)) (fma.f64 y (*.f64 y 1/36) (pow.f64 y -2)) (pow.f64 y -4)))) |
(pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 1) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(pow.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 3) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(pow.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 3) 1/3) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(neg.f64 (neg.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(sqrt.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 -1/6 y (/.f64 1 y)) 2)) |
(fabs.f64 (fma.f64 -1/6 y (/.f64 1 y))) |
(log.f64 (exp.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y -1/6 (/.f64 1 y))))) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(cbrt.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 3)) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(expm1.f64 (log1p.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(exp.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y))) 1)) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(log1p.f64 (expm1.f64 (fma.f64 y -1/6 (/.f64 1 y)))) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(fma.f64 y -1/6 (/.f64 1 y)) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(fma.f64 1 (*.f64 y -1/6) (/.f64 1 y)) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(fma.f64 1 (/.f64 1 y) (*.f64 y -1/6)) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (*.f64 y -1/6)) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(fma.f64 (sqrt.f64 (*.f64 y -1/6)) (sqrt.f64 (*.f64 y -1/6)) (/.f64 1 y)) |
(fma.f64 -1/6 y (/.f64 1 y)) |
(fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) (*.f64 y -1/6)) |
(fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) (*.f64 -1/6 y)) |
(fma.f64 (cbrt.f64 (*.f64 (*.f64 y y) 1/36)) (cbrt.f64 (*.f64 y -1/6)) (/.f64 1 y)) |
(fma.f64 (cbrt.f64 (*.f64 1/36 (*.f64 y y))) (cbrt.f64 (*.f64 -1/6 y)) (/.f64 1 y)) |
(fma.f64 (cbrt.f64 (*.f64 y (*.f64 y 1/36))) (cbrt.f64 (*.f64 -1/6 y)) (/.f64 1 y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 9.3b | (/.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 |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 y x) (sin.f64 x)) |
Compiled 15 to 5 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 y x) (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 y x) (sin.f64 x)) |
| 0.0ms | x | @ | inf | (*.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 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 (sin.f64 x) y) | |
| ✓ | 9.3b | (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y)) |
Compiled 22 to 10 computations (54.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y)) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y)) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y)) |
| 1× | batch-egg-rewrite |
| 1904× | add-sqr-sqrt |
| 1888× | *-un-lft-identity |
| 1750× | add-cube-cbrt |
| 1720× | add-cbrt-cube |
| 192× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 17 |
| 1 | 197 | 17 |
| 2 | 2391 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y)) |
| 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 1 (/.f64 x (*.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) y) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (sin.f64 x) y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) y)) (neg.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 sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.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 |
| 1330× | associate-*r* |
| 1268× | associate-*l* |
| 664× | associate-+l+ |
| 660× | associate-+r+ |
| 488× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 901 |
| 1 | 202 | 889 |
| 2 | 747 | 889 |
| 3 | 5184 | 889 |
| 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 y (/.f64 (sin.f64 x) x)))) 1) |
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) y))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) y)))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) y)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) y) -1) (neg.f64 x)) |
(/.f64 (*.f64 -1 (*.f64 (sin.f64 x) y)) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) 1) x) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) y)) (neg.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) |
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 2)) |
(log.f64 (exp.f64 (*.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 |
|---|
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 y (*.f64 -1/6 (*.f64 x x)) y) |
(fma.f64 y (*.f64 x (*.f64 x -1/6)) 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 -1/6 (*.f64 x x)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) y)) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 y (*.f64 x (*.f64 x -1/6)) 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 -1/5040 (pow.f64 x 6)) (fma.f64 y (*.f64 -1/6 (*.f64 x x)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) y))) |
(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))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) 1) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) y))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.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 (*.f64 (sin.f64 x) y) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) y)))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) y)))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) y) -1) (neg.f64 x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 -1 (*.f64 (sin.f64 x) y)) (neg.f64 x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) 1) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) y)) (neg.f64 x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 1) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 3) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3) 1/3) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 2)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (exp.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x))))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) 3)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 1)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (/.f64 x y) (sin.f64 x)) |
| ✓ | 0.6b | (/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x))) |
Compiled 24 to 8 computations (66.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | x | @ | -inf | (/.f64 (/.f64 x y) (sin.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 x y) (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 x y) (sin.f64 x)) |
| 0.0ms | y | @ | 0 | (/.f64 (/.f64 x y) (sin.f64 x)) |
| 0.0ms | y | @ | -inf | (/.f64 (/.f64 x y) (sin.f64 x)) |
| 1× | batch-egg-rewrite |
| 1824× | associate-/l* |
| 1064× | *-commutative |
| 742× | unswap-sqr |
| 648× | swap-sqr |
| 628× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 40 |
| 1 | 210 | 34 |
| 2 | 2848 | 34 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (*.f64 y (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (*.f64 y (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 y (sin.f64 x))))))))) |
| 1× | egg-herbie |
| 852× | distribute-rgt-in |
| 836× | distribute-lft-in |
| 786× | distribute-lft-neg-out |
| 680× | *-commutative |
| 636× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 470 | 5929 |
| 1 | 1305 | 5637 |
| 2 | 4619 | 5637 |
| 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 1 y) |
(+.f64 (/.f64 1 y) (*.f64 1/6 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 x 4) y)) (*.f64 1/6 (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (*.f64 31/15120 (/.f64 (pow.f64 x 6) y)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 x 4) y)) (*.f64 1/6 (/.f64 (pow.f64 x 2) y))))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) 1) |
(*.f64 1 (*.f64 y (/.f64 (sin.f64 x) x))) |
(*.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 (sin.f64 x)) (*.f64 (sqrt.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 (cbrt.f64 (sin.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.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 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x 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 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 y x) (pow.f64 (/.f64 1 (sin.f64 x)) -1)) |
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(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) -1) (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) (cbrt.f64 (/.f64 x y))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 y 1)) x) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 y (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y))))) (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))) (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))))) (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))))) (sqrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2))) (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))) (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))) (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))))) (*.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))))) |
(pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) 1) |
(pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) -1) |
(pow.f64 (sqrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 3) |
(pow.f64 (pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) 3) 1/3) |
(neg.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))) |
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) 2)) |
(log.f64 (exp.f64 (/.f64 x (*.f64 y (sin.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 y (sin.f64 x)))))) |
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 y (sin.f64 x))))) |
(exp.f64 (log.f64 (/.f64 x (*.f64 y (sin.f64 x))))) |
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 y (sin.f64 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 -1/6 (*.f64 x (*.f64 x y)) 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 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 x (*.f64 x y)) 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 -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))) |
(/.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 1 y) |
(+.f64 (/.f64 1 y) (*.f64 1/6 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 1 y) (/.f64 (*.f64 1/6 (*.f64 x x)) y)) |
(fma.f64 1/6 (/.f64 (*.f64 x x) y) (/.f64 1 y)) |
(fma.f64 1/6 (/.f64 x (/.f64 y x)) (/.f64 1 y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 x 4) y)) (*.f64 1/6 (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (/.f64 1 y) (fma.f64 7/360 (/.f64 (pow.f64 x 4) y) (/.f64 (*.f64 1/6 (*.f64 x x)) y))) |
(+.f64 (/.f64 1 y) (fma.f64 1/6 (/.f64 (*.f64 x x) y) (*.f64 7/360 (/.f64 (pow.f64 x 4) y)))) |
(+.f64 (/.f64 1 y) (fma.f64 7/360 (/.f64 (pow.f64 x 4) y) (*.f64 1/6 (/.f64 x (/.f64 y x))))) |
(+.f64 (*.f64 31/15120 (/.f64 (pow.f64 x 6) y)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 x 4) y)) (*.f64 1/6 (/.f64 (pow.f64 x 2) y))))) |
(fma.f64 31/15120 (/.f64 (pow.f64 x 6) y) (+.f64 (/.f64 1 y) (fma.f64 7/360 (/.f64 (pow.f64 x 4) y) (/.f64 (*.f64 1/6 (*.f64 x x)) y)))) |
(+.f64 (fma.f64 1/6 (/.f64 (*.f64 x x) y) (*.f64 7/360 (/.f64 (pow.f64 x 4) y))) (fma.f64 31/15120 (/.f64 (pow.f64 x 6) y) (/.f64 1 y))) |
(+.f64 (fma.f64 7/360 (/.f64 (pow.f64 x 4) y) (*.f64 1/6 (/.f64 x (/.f64 y x)))) (fma.f64 31/15120 (/.f64 (pow.f64 x 6) y) (/.f64 1 y))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 (/.f64 x y) (sin.f64 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 1 (*.f64 y (/.f64 (sin.f64 x) x))) |
(*.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 (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 (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 (cbrt.f64 (sin.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 y 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 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (*.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 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 y x) (pow.f64 (/.f64 1 (sin.f64 x)) -1)) |
(*.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 (neg.f64 (sin.f64 x)) (/.f64 (neg.f64 y) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 -1 (*.f64 (sin.f64 x) (/.f64 (neg.f64 y) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 y x)) (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 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 y x)))) |
(*.f64 (sin.f64 x) (*.f64 (sqrt.f64 (/.f64 y x)) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) (sqrt.f64 (/.f64 y x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2)) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2))) |
(/.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2)) |
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2)) |
(*.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) (sqrt.f64 (/.f64 y x))) (/.f64 (sqrt.f64 y) (sqrt.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 (sqrt.f64 (/.f64 y x)) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) (sqrt.f64 (/.f64 y x)))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 (neg.f64 x)) (*.f64 (sin.f64 x) (neg.f64 y))) |
(*.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 (sin.f64 x) (/.f64 (neg.f64 y) x)) -1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y (/.f64 (sqrt.f64 x) (sin.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 y (/.f64 (cbrt.f64 x) (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) y) (sqrt.f64 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) y) (/.f64 (sqrt.f64 (sin.f64 x)) 1)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
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(/.f64 x (*.f64 y (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) (cbrt.f64 (/.f64 x y))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 y 1)) x) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 y (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y))))) (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y))))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))) (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))))) (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y))))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))))) (sqrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2))) (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))) (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))) (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 x y) (sin.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 x y) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2) (cbrt.f64 (sqrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))) (cbrt.f64 (sqrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))))) (*.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 x y) (sin.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 x y) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2) (cbrt.f64 (sqrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))) (cbrt.f64 (sqrt.f64 (/.f64 x (*.f64 y (sin.f64 x))))))) |
(pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) 1) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(pow.f64 (*.f64 y (/.f64 (sin.f64 x) x)) -1) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(pow.f64 (sqrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 3) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(pow.f64 (pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) 3) 1/3) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(neg.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (/.f64 x y) (sin.f64 x)) 2)) |
(fabs.f64 (/.f64 x (*.f64 y (sin.f64 x)))) |
(log.f64 (exp.f64 (/.f64 x (*.f64 y (sin.f64 x))))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 y (sin.f64 x)))))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) 3)) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (sin.f64 x) 3))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 y (sin.f64 x))))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(exp.f64 (log.f64 (/.f64 x (*.f64 y (sin.f64 x))))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 y (sin.f64 x))))) |
(/.f64 (/.f64 x y) (sin.f64 x)) |
(/.f64 x (*.f64 y (sin.f64 x))) |
Compiled 14168 to 7150 computations (49.5% saved)
28 alts after pruning (19 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 766 | 13 | 779 |
| Fresh | 1 | 6 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 767 | 28 | 795 |
| Status | Error | Program |
|---|---|---|
| 37.7b | (pow.f64 (cbrt.f64 y) 3) | |
| ▶ | 1.3b | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
| ✓ | 1.1b | (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| 36.9b | (/.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) 1) | |
| 38.4b | (/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) | |
| ✓ | 10.5b | (/.f64 (*.f64 (sin.f64 x) y) x) |
| ✓ | 46.4b | (/.f64 (*.f64 y x) x) |
| ✓ | 0.1b | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| ✓ | 36.6b | (/.f64 (sinh.f64 y) 1) |
| 1.7b | (/.f64 (sin.f64 x) (/.f64 x y)) | |
| 1.6b | (/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) | |
| ✓ | 1.8b | (/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x))) |
| ▶ | 11.0b | (/.f64 1 (/.f64 x (*.f64 (sin.f64 x) y))) |
| 37.2b | (/.f64 1 (/.f64 1 y)) | |
| ▶ | 20.6b | (/.f64 1 (+.f64 (/.f64 1 y) (/.f64 (*.f64 1/6 (*.f64 x x)) y))) |
| 37.1b | (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) | |
| 12.0b | (/.f64 1 (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) y) x)) | |
| 43.5b | (-.f64 (+.f64 1 y) 1) | |
| 38.5b | (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) | |
| ✓ | 1.2b | (*.f64 (/.f64 (sin.f64 x) x) y) |
| ✓ | 1.3b | (*.f64 (/.f64 y x) (sin.f64 x)) |
| ▶ | 21.6b | (*.f64 (/.f64 y x) x) |
| ✓ | 10.5b | (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y)) |
| ▶ | 46.4b | (*.f64 (/.f64 1 x) (*.f64 y x)) |
| 38.5b | (*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y) | |
| 21.7b | (*.f64 x (*.f64 y (/.f64 1 x))) | |
| 40.5b | (sqrt.f64 (*.f64 y y)) | |
| 37.1b | y |
Compiled 445 to 320 computations (28.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 (sin.f64 x) x) | |
| ✓ | 0.2b | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
Compiled 22 to 10 computations (54.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
| 0.0ms | y | @ | -inf | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
| 0.0ms | y | @ | inf | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
| 1× | batch-egg-rewrite |
| 1046× | *-commutative |
| 786× | unswap-sqr |
| 718× | associate-/r/ |
| 630× | associate-/l/ |
| 628× | swap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 210 | 17 |
| 2 | 2901 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
| 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 (sin.f64 x) (*.f64 (/.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 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(/.f64 (sin.f64 x) (sqrt.f64 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 y (neg.f64 x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 x 1)) (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 (/.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 (/.f64 (sin.f64 x) x) (sqrt.f64 y)) 1) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) 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) (*.f64 (cbrt.f64 (pow.f64 y -2)) x)) 1) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (pow.f64 y -2)) x)) -1) (cbrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 1 y) (sin.f64 x))) -1/2) (pow.f64 (*.f64 x (/.f64 (/.f64 1 y) (sin.f64 x))) -1/2))))) (#(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 pow.f64 (*.f64 x (/.f64 (/.f64 1 y) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y (/.f64 (sin.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y)) 1))))) (#(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 (exp.f64 (*.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 cbrt.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 y -2)) y))))) (#(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 log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))))) |
| 1× | egg-herbie |
| 1522× | times-frac |
| 1104× | associate-/r* |
| 768× | unswap-sqr |
| 742× | *-commutative |
| 656× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 230 | 2498 |
| 1 | 628 | 2362 |
| 2 | 2075 | 2362 |
| 3 | 7984 | 2362 |
| 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 (/.f64 y x) (sin.f64 x)))) 1) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 1 x) y)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 1 (*.f64 (/.f64 y x) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1) |
(*.f64 (sqrt.f64 y) (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) y)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 (cbrt.f64 y) (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) y)) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 -1 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y))) |
(*.f64 (neg.f64 y) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) y) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) y) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y -2))) (*.f64 (/.f64 (sin.f64 x) x) (cbrt.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) 1) (*.f64 (/.f64 1 x) y)) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 1 y)) (/.f64 1 x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (*.f64 (/.f64 1 x) y) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 1 x) y) (/.f64 (sin.f64 x) 1)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) y)) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) y)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) y) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) y) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 y -1/2)) (/.f64 1 (*.f64 x (pow.f64 y -1/2)))) |
(*.f64 (/.f64 1 (*.f64 x (pow.f64 y -1/2))) (/.f64 (sin.f64 x) (pow.f64 y -1/2))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 y -2))) (*.f64 (/.f64 (/.f64 1 x) 1) (cbrt.f64 y))) |
(*.f64 (*.f64 (/.f64 (/.f64 1 x) 1) (cbrt.f64 y)) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 (pow.f64 y -2))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 1 y))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 1 y)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (pow.f64 y -1/2)) (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 y -1/2))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 y -1/2)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (pow.f64 y -1/2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (pow.f64 y -2))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 (/.f64 1 (/.f64 (/.f64 1 y) (sin.f64 x))) (/.f64 1 x)) |
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) y))) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x y)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x y)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (/.f64 1 y)) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 y (/.f64 x 1)) (sin.f64 x)) |
(*.f64 (/.f64 y (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 y (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y)) 1) (sqrt.f64 y)) |
(*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (pow.f64 y -2)) x)) 1) (cbrt.f64 y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (pow.f64 y -2)) x)) -1) (cbrt.f64 (neg.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/6)) |
(*.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 1 y) (sin.f64 x))) -1/2) (pow.f64 (*.f64 x (/.f64 (/.f64 1 y) (sin.f64 x))) -1/2)) |
(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) |
(pow.f64 (*.f64 x (/.f64 (/.f64 1 y) (sin.f64 x))) -1) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y))) |
(neg.f64 (*.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y)))) |
(neg.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y)) 1)) |
(neg.f64 (*.f64 y (/.f64 (sin.f64 x) (neg.f64 x)))) |
(neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y)) 1)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 2)) |
(log.f64 (exp.f64 (*.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)) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 y -2)) y)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
| 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 x (*.f64 x y)) 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 x (*.f64 x y)) y)) |
(fma.f64 y (*.f64 -1/6 (*.f64 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 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 y (*.f64 -1/6 (*.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 (exp.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 1 x) y)) |
(*.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 1 (*.f64 (/.f64 y x) (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sqrt.f64 y) (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (*.f64 (sqrt.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 y x) (sin.f64 x))) (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (cbrt.f64 y) (*.f64 (/.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 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (pow.f64 y -2)))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (cbrt.f64 (pow.f64 y -2))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.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 (/.f64 (sin.f64 x) x) (neg.f64 y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 (sin.f64 x) (neg.f64 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 (/.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 (sqrt.f64 (/.f64 (sin.f64 x) x)) y) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) y) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 y -2))) (*.f64 (/.f64 (sin.f64 x) x) (cbrt.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (cbrt.f64 y) (/.f64 1 (cbrt.f64 (pow.f64 y -2))))) |
(*.f64 (cbrt.f64 y) (/.f64 (/.f64 (sin.f64 x) x) (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (sin.f64 x) (/.f64 (cbrt.f64 y) (*.f64 x (cbrt.f64 (pow.f64 y -2))))) |
(*.f64 (/.f64 (sin.f64 x) 1) (*.f64 (/.f64 1 x) y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 1 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) (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) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (cbrt.f64 y) (/.f64 1 (cbrt.f64 (pow.f64 y -2))))) |
(*.f64 (cbrt.f64 y) (/.f64 (/.f64 (sin.f64 x) x) (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (sin.f64 x) (/.f64 (cbrt.f64 y) (*.f64 x (cbrt.f64 (pow.f64 y -2))))) |
(*.f64 (*.f64 (/.f64 1 x) y) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 1 x) y) (/.f64 (sin.f64 x) 1)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) y) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) y) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 y -1/2)) (/.f64 1 (*.f64 x (pow.f64 y -1/2)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 (*.f64 x (pow.f64 y -1/2))) (/.f64 (sin.f64 x) (pow.f64 y -1/2))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 y -2))) (*.f64 (/.f64 (/.f64 1 x) 1) (cbrt.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (cbrt.f64 y) (/.f64 1 (cbrt.f64 (pow.f64 y -2))))) |
(*.f64 (cbrt.f64 y) (/.f64 (/.f64 (sin.f64 x) x) (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (sin.f64 x) (/.f64 (cbrt.f64 y) (*.f64 x (cbrt.f64 (pow.f64 y -2))))) |
(*.f64 (*.f64 (/.f64 (/.f64 1 x) 1) (cbrt.f64 y)) (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (cbrt.f64 y) (/.f64 1 (cbrt.f64 (pow.f64 y -2))))) |
(*.f64 (cbrt.f64 y) (/.f64 (/.f64 (sin.f64 x) x) (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (sin.f64 x) (/.f64 (cbrt.f64 y) (*.f64 x (cbrt.f64 (pow.f64 y -2))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 (pow.f64 y -2))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (cbrt.f64 y) (/.f64 1 (cbrt.f64 (pow.f64 y -2))))) |
(*.f64 (cbrt.f64 y) (/.f64 (/.f64 (sin.f64 x) x) (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (sin.f64 x) (/.f64 (cbrt.f64 y) (*.f64 x (cbrt.f64 (pow.f64 y -2))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 1 y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 1 y)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) 1)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (pow.f64 y -1/2)) (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 y -1/2))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 y -1/2)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (pow.f64 y -1/2))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (pow.f64 y -2))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (pow.f64 y -2)))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (cbrt.f64 (pow.f64 y -2))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (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 (/.f64 (/.f64 1 y) (sin.f64 x))) (/.f64 1 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) y))) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x y)) (sqrt.f64 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x y)) (cbrt.f64 (sin.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) x)) 2) (/.f64 1 y)) (cbrt.f64 (/.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 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 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 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 y (/.f64 x 1)) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.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 (/.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 (/.f64 (sin.f64 x) x) (sqrt.f64 y)) 1) (sqrt.f64 y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 (sqrt.f64 -1) (sqrt.f64 y))) (sqrt.f64 (neg.f64 y))) |
(*.f64 (*.f64 (/.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 -1)) (sqrt.f64 y)) (sqrt.f64 (neg.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 x (sqrt.f64 y))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (pow.f64 y -2)) x)) 1) (cbrt.f64 y)) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (cbrt.f64 y) (/.f64 1 (cbrt.f64 (pow.f64 y -2))))) |
(*.f64 (cbrt.f64 y) (/.f64 (/.f64 (sin.f64 x) x) (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (sin.f64 x) (/.f64 (cbrt.f64 y) (*.f64 x (cbrt.f64 (pow.f64 y -2))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (pow.f64 y -2)) x)) -1) (cbrt.f64 (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 -1 (*.f64 x (cbrt.f64 (pow.f64 y -2))))) (cbrt.f64 (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (neg.f64 x) (cbrt.f64 (pow.f64 y -2)))) (cbrt.f64 (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (pow.f64 y -2)) (neg.f64 x))) (cbrt.f64 (neg.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 (cbrt.f64 y) (/.f64 1 (cbrt.f64 (pow.f64 y -2))))) |
(*.f64 (cbrt.f64 y) (/.f64 (/.f64 (sin.f64 x) x) (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (sin.f64 x) (/.f64 (cbrt.f64 y) (*.f64 x (cbrt.f64 (pow.f64 y -2))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) (*.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3/2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/6)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 1 y) (sin.f64 x))) -1/2) (pow.f64 (*.f64 x (/.f64 (/.f64 1 y) (sin.f64 x))) -1/2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (*.f64 x (/.f64 (/.f64 1 y) (sin.f64 x))) -1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(neg.f64 (*.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(neg.f64 (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y)) 1)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(neg.f64 (*.f64 y (/.f64 (sin.f64 x) (neg.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) x) (neg.f64 y)) 1)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (exp.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x))))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 y -2)) y)) |
(cbrt.f64 (*.f64 y (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 y -2)))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (/.f64 (pow.f64 y -2) y))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 16.0b | (*.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 |
|---|---|---|
| ✓ | 9.4b | (*.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 | y | @ | -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 | x | @ | -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 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 1 y) (/.f64 (*.f64 1/6 (*.f64 x x)) y)) |
| ✓ | 0.2b | (*.f64 1/6 (*.f64 x x)) |
| ✓ | 0.5b | (/.f64 1 (+.f64 (/.f64 1 y) (/.f64 (*.f64 1/6 (*.f64 x x)) y))) |
| ✓ | 3.6b | (/.f64 (*.f64 1/6 (*.f64 x x)) y) |
Compiled 48 to 26 computations (45.8% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 1/6 (*.f64 x x)) y) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 1/6 (*.f64 x x)) y) |
| 1.0ms | y | @ | -inf | (/.f64 1 (+.f64 (/.f64 1 y) (/.f64 (*.f64 1/6 (*.f64 x x)) y))) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 1/6 (*.f64 x x)) y) |
| 0.0ms | y | @ | 0 | (/.f64 1 (+.f64 (/.f64 1 y) (/.f64 (*.f64 1/6 (*.f64 x x)) y))) |
| 1× | batch-egg-rewrite |
| 1724× | associate-/l* |
| 940× | associate-/r/ |
| 622× | distribute-rgt-in |
| 584× | distribute-lft-in |
| 394× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 100 |
| 1 | 264 | 100 |
| 2 | 3756 | 88 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 1/6 (*.f64 x x)) y) |
(/.f64 1 (+.f64 (/.f64 1 y) (/.f64 (*.f64 1/6 (*.f64 x x)) y))) |
(*.f64 1/6 (*.f64 x x)) |
(+.f64 (/.f64 1 y) (/.f64 (*.f64 1/6 (*.f64 x x)) y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 (*.f64 x x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1/6 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 1/6 x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 x (*.f64 1/6 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 x (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 1/6))) (/.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 (*.f64 x (sqrt.f64 1/6)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 1/6 (/.f64 (sqrt.f64 y) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y)) 2) (cbrt.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (*.f64 (cbrt.f64 (*.f64 x (*.f64 1/6 x))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 x) (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -1/6) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (*.f64 1/6 x)) (pow.f64 y -1/2)) (pow.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (*.f64 1/6 x)) (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 6) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (/.f64 (sqrt.f64 y) (*.f64 x x))) (pow.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x (*.f64 1/6 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 y)) (/.f64 1/6 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 y)) (*.f64 (*.f64 x x) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (sqrt.f64 y)) (/.f64 (*.f64 x x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (/.f64 (cbrt.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 1 x)) (/.f64 1/6 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (/.f64 1/6 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/6) (/.f64 1 x)) (/.f64 x (/.f64 y (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 y (sqrt.f64 1/6))) (*.f64 x (sqrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 1/6)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (/.f64 (cbrt.f64 y) (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/6 x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x (*.f64 1/6 x))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 6) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (/.f64 (sqrt.f64 y) x)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/6 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 y 1/6)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/6 x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) y) (cbrt.f64 (*.f64 x (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (/.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (neg.f64 y)) (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (/.f64 y (cbrt.f64 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 y (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)))) (cbrt.f64 (*.f64 x (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 y (*.f64 1/6 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 x x) 6) 1) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 x x) 6) (sqrt.f64 y)) (pow.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 x x) 6) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 x x) 6) (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x (*.f64 1/6 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y))))))) |
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(*.f64 1/6 x)) (/.f64 1 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 x (*.f64 1/6 x)) y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 y) (/.f64 (*.f64 x (*.f64 1/6 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 1/6))) (/.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 1/6))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (/.f64 (*.f64 x (*.f64 1/6 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y)) 2) (cbrt.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) (/.f64 (*.f64 x (*.f64 1/6 x)) y)))))) |
| 1× | egg-herbie |
| 1436× | associate-*l* |
| 1148× | *-commutative |
| 1064× | associate-/l* |
| 998× | associate-/r* |
| 802× | associate-*l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 818 | 19468 |
| 1 | 2522 | 18176 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(/.f64 y (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(/.f64 y (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(/.f64 y (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(/.f64 y (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(/.f64 y (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(/.f64 y (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(/.f64 y (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(/.f64 y (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -1/6 (pow.f64 x 2)) 1))) |
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -1/6 (pow.f64 x 2)) 1))) |
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -1/6 (pow.f64 x 2)) 1))) |
(*.f64 -1 (/.f64 y (-.f64 (*.f64 -1/6 (pow.f64 x 2)) 1))) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/36 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/216 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/36 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(*.f64 6 (/.f64 y (pow.f64 x 2))) |
(+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (*.f64 -36 (/.f64 y (pow.f64 x 4)))) |
(+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 216 (/.f64 y (pow.f64 x 6))) (*.f64 -36 (/.f64 y (pow.f64 x 4))))) |
(+.f64 (*.f64 -1296 (/.f64 y (pow.f64 x 8))) (+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 216 (/.f64 y (pow.f64 x 6))) (*.f64 -36 (/.f64 y (pow.f64 x 4)))))) |
(*.f64 6 (/.f64 y (pow.f64 x 2))) |
(+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (*.f64 -36 (/.f64 y (pow.f64 x 4)))) |
(+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 216 (/.f64 y (pow.f64 x 6))) (*.f64 -36 (/.f64 y (pow.f64 x 4))))) |
(+.f64 (*.f64 -1296 (/.f64 y (pow.f64 x 8))) (+.f64 (*.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 216 (/.f64 y (pow.f64 x 6))) (*.f64 -36 (/.f64 y (pow.f64 x 4)))))) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(*.f64 1/6 (pow.f64 x 2)) |
(/.f64 (+.f64 1 (*.f64 1/6 (pow.f64 x 2))) y) |
(/.f64 (+.f64 1 (*.f64 1/6 (pow.f64 x 2))) y) |
(/.f64 (+.f64 1 (*.f64 1/6 (pow.f64 x 2))) y) |
(/.f64 (+.f64 1 (*.f64 1/6 (pow.f64 x 2))) y) |
(/.f64 (+.f64 1 (*.f64 1/6 (pow.f64 x 2))) y) |
(/.f64 (+.f64 1 (*.f64 1/6 (pow.f64 x 2))) y) |
(/.f64 (+.f64 1 (*.f64 1/6 (pow.f64 x 2))) y) |
(/.f64 (+.f64 1 (*.f64 1/6 (pow.f64 x 2))) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 2)) 1) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 2)) 1) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 2)) 1) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 2)) 1) y)) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 1/6 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 1 y) (*.f64 1/6 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 1 y) (*.f64 1/6 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (/.f64 1 y) (*.f64 1/6 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 1 y) (*.f64 1/6 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 1 y) (*.f64 1/6 (/.f64 (pow.f64 x 2) y))) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (/.f64 1 y) (*.f64 1/6 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 1 y) (*.f64 1/6 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 1 y) (*.f64 1/6 (/.f64 (pow.f64 x 2) y))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y))) 1) |
(*.f64 1/6 (*.f64 (*.f64 x x) (/.f64 1 y))) |
(*.f64 1/6 (*.f64 (/.f64 x y) x)) |
(*.f64 (*.f64 x x) (/.f64 1/6 y)) |
(*.f64 (*.f64 x (*.f64 1/6 x)) (/.f64 1 y)) |
(*.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y) 1) |
(*.f64 1 (/.f64 (*.f64 x (*.f64 1/6 x)) y)) |
(*.f64 (/.f64 1 y) (*.f64 x (*.f64 1/6 x))) |
(*.f64 (/.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 1/6))) (/.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 1/6)))) |
(*.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 (*.f64 x (sqrt.f64 1/6)) (/.f64 1 y))) |
(*.f64 (pow.f64 y -1/2) (/.f64 1/6 (/.f64 (sqrt.f64 y) (*.f64 x x)))) |
(*.f64 (cbrt.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y)) 2) (cbrt.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y))) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (*.f64 (cbrt.f64 (*.f64 x (*.f64 1/6 x))) (/.f64 1 y))) |
(*.f64 (*.f64 1/6 x) (*.f64 x (/.f64 1 y))) |
(*.f64 (*.f64 (*.f64 x x) -1/6) (/.f64 1 (neg.f64 y))) |
(*.f64 (*.f64 (*.f64 x (*.f64 1/6 x)) (pow.f64 y -1/2)) (pow.f64 y -1/2)) |
(*.f64 (*.f64 (*.f64 x (*.f64 1/6 x)) (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y))) |
(*.f64 (/.f64 (*.f64 x x) 6) (/.f64 1 y)) |
(*.f64 (/.f64 1/6 (/.f64 (sqrt.f64 y) (*.f64 x x))) (pow.f64 y -1/2)) |
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(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) 2) (cbrt.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) 2) (/.f64 -1 (neg.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y))))) |
(/.f64 (-.f64 (pow.f64 y -2) (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2))) (/.f64 (-.f64 1 (*.f64 x (*.f64 1/6 x))) y)) |
(/.f64 (-.f64 (pow.f64 y -2) (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2))) (/.f64 1 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x (*.f64 1/6 x)))) y))) |
(/.f64 (+.f64 (pow.f64 y -3) (pow.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y) 3)) (-.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)) (pow.f64 y -2)) (*.f64 (pow.f64 y -2) (*.f64 x (*.f64 1/6 x))))) |
(/.f64 (+.f64 (pow.f64 y -3) (pow.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y) 3)) (/.f64 1 (/.f64 1 (-.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)) (pow.f64 y -2)) (*.f64 (pow.f64 y -2) (*.f64 x (*.f64 1/6 x))))))) |
(/.f64 (-.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)) (pow.f64 y -2)) (*.f64 (pow.f64 y -2) (*.f64 x (*.f64 1/6 x)))) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)) (pow.f64 y -2)) (*.f64 (pow.f64 y -2) (*.f64 x (*.f64 1/6 x)))) (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y))) |
(/.f64 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y)) (*.f64 y y)) |
(/.f64 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y)) (/.f64 1 (pow.f64 y -2))) |
(/.f64 -1 (/.f64 -1 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) -1) |
(/.f64 (sqrt.f64 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y))) (/.f64 (*.f64 y y) (sqrt.f64 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y))))) |
(/.f64 (sqrt.f64 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y))) (*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y) -1/2) y)) |
(/.f64 (sqrt.f64 (neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y))) (/.f64 -1 (sqrt.f64 (neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y -3) (pow.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y) 3))) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)) (pow.f64 y -2)) (*.f64 (pow.f64 y -2) (*.f64 x (*.f64 1/6 x)))) (sqrt.f64 (+.f64 (pow.f64 y -3) (pow.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y) 3))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y -3) (pow.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y) 3))) (*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y) -1/2) (sqrt.f64 (-.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)) (pow.f64 y -2)) (*.f64 (pow.f64 y -2) (*.f64 x (*.f64 1/6 x))))))) |
(/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y))) (/.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y) -1/2) (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) 2)) (/.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y) -1/2) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) 2)) (/.f64 (cbrt.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) 2)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y -2) (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)))) (/.f64 (/.f64 (-.f64 1 (*.f64 x (*.f64 1/6 x))) y) (sqrt.f64 (-.f64 (pow.f64 y -2) (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y -2) (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)))) (*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y) -1/2) (sqrt.f64 (/.f64 (-.f64 1 (*.f64 x (*.f64 1/6 x))) y)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y))) (cbrt.f64 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y)))) (/.f64 (*.f64 y y) (cbrt.f64 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y))))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y))) (cbrt.f64 (neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)))) (cbrt.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 y -3) (pow.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y) 3))) (cbrt.f64 (+.f64 (pow.f64 y -3) (pow.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y) 3)))) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)) (pow.f64 y -2)) (*.f64 (pow.f64 y -2) (*.f64 x (*.f64 1/6 x)))) (cbrt.f64 (+.f64 (pow.f64 y -3) (pow.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) 2))) (/.f64 (cbrt.f64 (/.f64 1 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 y -2) (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)))) (cbrt.f64 (-.f64 (pow.f64 y -2) (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2))))) (/.f64 (/.f64 (-.f64 1 (*.f64 x (*.f64 1/6 x))) y) (cbrt.f64 (-.f64 (pow.f64 y -2) (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)))))) |
(/.f64 (/.f64 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y)) y) y) |
(/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y) |
(/.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y))) (/.f64 -1 (sqrt.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) 2)) (/.f64 -1 (cbrt.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y -2) (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)))) (neg.f64 (/.f64 (-.f64 1 (*.f64 x (*.f64 1/6 x))) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y -2) (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)))) (*.f64 1 (neg.f64 (/.f64 (-.f64 1 (*.f64 x (*.f64 1/6 x))) y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y -2) (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)))) (*.f64 -1 (/.f64 (-.f64 1 (*.f64 x (*.f64 1/6 x))) y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y -3) (pow.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y) 3))) (neg.f64 (-.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)) (pow.f64 y -2)) (*.f64 (pow.f64 y -2) (*.f64 x (*.f64 1/6 x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y -3) (pow.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y) 3))) (*.f64 1 (neg.f64 (-.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)) (pow.f64 y -2)) (*.f64 (pow.f64 y -2) (*.f64 x (*.f64 1/6 x))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y -3) (pow.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y) 3))) (*.f64 -1 (-.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)) (pow.f64 y -2)) (*.f64 (pow.f64 y -2) (*.f64 x (*.f64 1/6 x)))))) |
(/.f64 (neg.f64 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y))) (neg.f64 (*.f64 y y))) |
(/.f64 (neg.f64 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y))) (*.f64 1 (neg.f64 (*.f64 y y)))) |
(/.f64 (neg.f64 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y))) (*.f64 -1 (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x (*.f64 1/6 x)) y) (*.f64 (*.f64 x (*.f64 1/6 x)) y))) (*.f64 (*.f64 y y) (-.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y -3) (pow.f64 y -3)) (*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y) 3) (pow.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y) 3))) (*.f64 (-.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)) (pow.f64 y -2)) (*.f64 (pow.f64 y -2) (*.f64 x (*.f64 1/6 x)))) (-.f64 (pow.f64 y -3) (pow.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y) 3)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)) (pow.f64 y -2)) (-.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y) (/.f64 1 y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)) (pow.f64 y -2)) (*.f64 1 (-.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y) (/.f64 1 y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y -2) (pow.f64 y -2)) (*.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)) (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)))) (*.f64 (/.f64 (-.f64 1 (*.f64 x (*.f64 1/6 x))) y) (+.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)) (pow.f64 y -2)))) |
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (*.f64 x (*.f64 1/6 x)) y) 3)) (*.f64 (*.f64 y y) (-.f64 (+.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x (*.f64 1/6 x)) y) (*.f64 (*.f64 x (*.f64 1/6 x)) y))) (*.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 y -3) 3) (pow.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y) 3) 3)) (*.f64 (-.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)) (pow.f64 y -2)) (*.f64 (pow.f64 y -2) (*.f64 x (*.f64 1/6 x)))) (+.f64 (*.f64 (pow.f64 y -3) (pow.f64 y -3)) (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y) 3) (pow.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y) 3)) (*.f64 (pow.f64 y -3) (pow.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y) 3)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 y -2) 3) (pow.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)) 3)) (*.f64 (/.f64 (-.f64 1 (*.f64 x (*.f64 1/6 x))) y) (+.f64 (+.f64 (*.f64 (pow.f64 y -2) (pow.f64 y -2)) (*.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)) (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)))) (*.f64 (pow.f64 y -2) (*.f64 (*.f64 (pow.f64 x 4) 1/36) (pow.f64 y -2)))))) |
(/.f64 (+.f64 (*.f64 1/6 y) (*.f64 (/.f64 y (*.f64 x x)) 1)) (*.f64 (/.f64 y (*.f64 x x)) y)) |
(/.f64 (+.f64 (*.f64 1/6 y) (*.f64 (/.f64 y (*.f64 x x)) 1)) (*.f64 1 (*.f64 (/.f64 y (*.f64 x x)) y))) |
(/.f64 (+.f64 (*.f64 1/6 (neg.f64 y)) (*.f64 (/.f64 y (*.f64 x x)) -1)) (*.f64 (/.f64 y (*.f64 x x)) (neg.f64 y))) |
(/.f64 (+.f64 (*.f64 1/6 (neg.f64 y)) (*.f64 (/.f64 y (*.f64 x x)) -1)) (*.f64 1 (*.f64 (/.f64 y (*.f64 x x)) (neg.f64 y)))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 1/6 x)) (neg.f64 y)) (*.f64 y -1)) (*.f64 y (neg.f64 y))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 1/6 x)) (neg.f64 y)) (*.f64 y -1)) (*.f64 1 (*.f64 y (neg.f64 y)))) |
(/.f64 (+.f64 y (*.f64 (/.f64 y (*.f64 x (*.f64 1/6 x))) 1)) (*.f64 (/.f64 y (*.f64 x (*.f64 1/6 x))) y)) |
(/.f64 (+.f64 y (*.f64 (/.f64 y (*.f64 x (*.f64 1/6 x))) 1)) (*.f64 1 (*.f64 (/.f64 y (*.f64 x (*.f64 1/6 x))) y))) |
(/.f64 (+.f64 (neg.f64 y) (*.f64 (/.f64 y (*.f64 x (*.f64 1/6 x))) -1)) (*.f64 (/.f64 y (*.f64 x (*.f64 1/6 x))) (neg.f64 y))) |
(/.f64 (+.f64 (neg.f64 y) (*.f64 (/.f64 y (*.f64 x (*.f64 1/6 x))) -1)) (*.f64 1 (*.f64 (/.f64 y (*.f64 x (*.f64 1/6 x))) (neg.f64 y)))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) y) (*.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) y)) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) y) (*.f64 (neg.f64 y) 1)) (*.f64 1 (*.f64 (neg.f64 y) y))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) (neg.f64 y)) (*.f64 (neg.f64 y) -1)) (*.f64 (neg.f64 y) (neg.f64 y))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) (neg.f64 y)) (*.f64 (neg.f64 y) -1)) (*.f64 1 (*.f64 (neg.f64 y) (neg.f64 y)))) |
(/.f64 (+.f64 (/.f64 y (*.f64 x x)) (*.f64 y 1/6)) (*.f64 y (/.f64 y (*.f64 x x)))) |
(/.f64 (+.f64 (/.f64 y (*.f64 x x)) (*.f64 y 1/6)) (*.f64 1 (*.f64 y (/.f64 y (*.f64 x x))))) |
(/.f64 (+.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x)))) (*.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x))))) |
(/.f64 (+.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x)))) (*.f64 1 (*.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x)))))) |
(/.f64 (+.f64 (neg.f64 y) (*.f64 y (*.f64 (*.f64 x x) -1/6))) (*.f64 y (neg.f64 y))) |
(/.f64 (+.f64 (neg.f64 y) (*.f64 y (*.f64 (*.f64 x x) -1/6))) (*.f64 1 (*.f64 y (neg.f64 y)))) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 y (*.f64 x x))) (*.f64 (neg.f64 y) 1/6)) (*.f64 (neg.f64 y) (/.f64 y (*.f64 x x)))) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 y (*.f64 x x))) (*.f64 (neg.f64 y) 1/6)) (*.f64 1 (*.f64 (neg.f64 y) (/.f64 y (*.f64 x x))))) |
(/.f64 (+.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 x (*.f64 1/6 x)))) (*.f64 (neg.f64 y) y)) |
(/.f64 (+.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 x (*.f64 1/6 x)))) (*.f64 1 (*.f64 (neg.f64 y) y))) |
(/.f64 (+.f64 (*.f64 (neg.f64 y) 1) (*.f64 -1 (/.f64 y (*.f64 x (*.f64 1/6 x))))) (*.f64 (neg.f64 y) (/.f64 y (*.f64 x (*.f64 1/6 x))))) |
(/.f64 (+.f64 (*.f64 (neg.f64 y) 1) (*.f64 -1 (/.f64 y (*.f64 x (*.f64 1/6 x))))) (*.f64 1 (*.f64 (neg.f64 y) (/.f64 y (*.f64 x (*.f64 1/6 x)))))) |
(/.f64 (+.f64 y (*.f64 (neg.f64 y) (*.f64 (*.f64 x x) -1/6))) (*.f64 (neg.f64 y) (neg.f64 y))) |
(/.f64 (+.f64 y (*.f64 (neg.f64 y) (*.f64 (*.f64 x x) -1/6))) (*.f64 1 (*.f64 (neg.f64 y) (neg.f64 y)))) |
(pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y))) |
(exp.f64 (log.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y))) |
(fma.f64 (*.f64 x (*.f64 1/6 x)) (/.f64 1 y) (/.f64 1 y)) |
(fma.f64 1 (/.f64 (*.f64 x (*.f64 1/6 x)) y) (/.f64 1 y)) |
(fma.f64 1 (/.f64 1 y) (/.f64 (*.f64 x (*.f64 1/6 x)) y)) |
(fma.f64 (/.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 1/6))) (/.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 1/6))) (/.f64 1 y)) |
(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (/.f64 (*.f64 x (*.f64 1/6 x)) y)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y)) 2) (cbrt.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y)) (/.f64 1 y)) |
(fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) (/.f64 (*.f64 x (*.f64 1/6 x)) y)) |
| Outputs |
|---|
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(/.f64 x (/.f64 (/.f64 y 1/6) x)) |
(*.f64 (*.f64 1/6 x) (/.f64 x y)) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
(/.f64 x (/.f64 (/.f64 y 1/6) x)) |
(*.f64 (*.f64 1/6 x) (/.f64 x y)) |
(*.f64 1/6 (/.f64 (pow.f64 x 2) y)) |
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(/.f64 (+.f64 (neg.f64 y) (*.f64 y (*.f64 (*.f64 x x) -1/6))) (*.f64 y (neg.f64 y))) |
(*.f64 -1 (/.f64 (*.f64 (fma.f64 x (*.f64 1/6 x) 1) y) (*.f64 y (neg.f64 y)))) |
(/.f64 (*.f64 y (fma.f64 -1/6 (*.f64 x x) -1)) (*.f64 y (neg.f64 y))) |
(/.f64 (+.f64 (neg.f64 y) (*.f64 y (*.f64 (*.f64 x x) -1/6))) (*.f64 1 (*.f64 y (neg.f64 y)))) |
(*.f64 -1 (/.f64 (*.f64 (fma.f64 x (*.f64 1/6 x) 1) y) (*.f64 y (neg.f64 y)))) |
(/.f64 (*.f64 y (fma.f64 -1/6 (*.f64 x x) -1)) (*.f64 y (neg.f64 y))) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 y (*.f64 x x))) (*.f64 (neg.f64 y) 1/6)) (*.f64 (neg.f64 y) (/.f64 y (*.f64 x x)))) |
(/.f64 (fma.f64 1/6 (neg.f64 y) (/.f64 (neg.f64 y) (*.f64 x x))) (*.f64 (neg.f64 y) (/.f64 y (*.f64 x x)))) |
(/.f64 (fma.f64 -1 (/.f64 y (*.f64 x x)) (*.f64 y -1/6)) (*.f64 y (neg.f64 (/.f64 y (*.f64 x x))))) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 y (*.f64 x x))) (*.f64 (neg.f64 y) 1/6)) (*.f64 1 (*.f64 (neg.f64 y) (/.f64 y (*.f64 x x))))) |
(/.f64 (fma.f64 1/6 (neg.f64 y) (/.f64 (neg.f64 y) (*.f64 x x))) (*.f64 (neg.f64 y) (/.f64 y (*.f64 x x)))) |
(/.f64 (fma.f64 -1 (/.f64 y (*.f64 x x)) (*.f64 y -1/6)) (*.f64 y (neg.f64 (/.f64 y (*.f64 x x))))) |
(/.f64 (+.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 x (*.f64 1/6 x)))) (*.f64 (neg.f64 y) y)) |
(*.f64 -1 (/.f64 (*.f64 (fma.f64 x (*.f64 1/6 x) 1) y) (*.f64 y (neg.f64 y)))) |
(/.f64 (*.f64 y (fma.f64 -1/6 (*.f64 x x) -1)) (*.f64 y (neg.f64 y))) |
(/.f64 (+.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 x (*.f64 1/6 x)))) (*.f64 1 (*.f64 (neg.f64 y) y))) |
(*.f64 -1 (/.f64 (*.f64 (fma.f64 x (*.f64 1/6 x) 1) y) (*.f64 y (neg.f64 y)))) |
(/.f64 (*.f64 y (fma.f64 -1/6 (*.f64 x x) -1)) (*.f64 y (neg.f64 y))) |
(/.f64 (+.f64 (*.f64 (neg.f64 y) 1) (*.f64 -1 (/.f64 y (*.f64 x (*.f64 1/6 x))))) (*.f64 (neg.f64 y) (/.f64 y (*.f64 x (*.f64 1/6 x))))) |
(/.f64 (+.f64 (neg.f64 y) (/.f64 (neg.f64 y) (*.f64 x (*.f64 1/6 x)))) (*.f64 (neg.f64 y) (/.f64 y (*.f64 x (*.f64 1/6 x))))) |
(/.f64 (*.f64 -1 (+.f64 y (/.f64 y (*.f64 1/6 (*.f64 x x))))) (/.f64 y (*.f64 x (*.f64 x (/.f64 -1/6 y))))) |
(/.f64 (+.f64 (*.f64 (neg.f64 y) 1) (*.f64 -1 (/.f64 y (*.f64 x (*.f64 1/6 x))))) (*.f64 1 (*.f64 (neg.f64 y) (/.f64 y (*.f64 x (*.f64 1/6 x)))))) |
(/.f64 (+.f64 (neg.f64 y) (/.f64 (neg.f64 y) (*.f64 x (*.f64 1/6 x)))) (*.f64 (neg.f64 y) (/.f64 y (*.f64 x (*.f64 1/6 x))))) |
(/.f64 (*.f64 -1 (+.f64 y (/.f64 y (*.f64 1/6 (*.f64 x x))))) (/.f64 y (*.f64 x (*.f64 x (/.f64 -1/6 y))))) |
(/.f64 (+.f64 y (*.f64 (neg.f64 y) (*.f64 (*.f64 x x) -1/6))) (*.f64 (neg.f64 y) (neg.f64 y))) |
(/.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 -1/6 (neg.f64 y)))) (*.f64 y y)) |
(/.f64 (+.f64 y (*.f64 1/6 (*.f64 y (*.f64 x x)))) (*.f64 y y)) |
(/.f64 (+.f64 y (*.f64 (neg.f64 y) (*.f64 (*.f64 x x) -1/6))) (*.f64 1 (*.f64 (neg.f64 y) (neg.f64 y)))) |
(/.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 -1/6 (neg.f64 y)))) (*.f64 y y)) |
(/.f64 (+.f64 y (*.f64 1/6 (*.f64 y (*.f64 x x)))) (*.f64 y y)) |
(pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y) 1) |
(/.f64 (fma.f64 1/6 (*.f64 x x) 1) y) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) 2) |
(/.f64 (fma.f64 1/6 (*.f64 x x) 1) y) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) 3) |
(/.f64 (fma.f64 1/6 (*.f64 x x) 1) y) |
(pow.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y) 3) 1/3) |
(/.f64 (fma.f64 1/6 (*.f64 x x) 1) y) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 1/6 x) 1) y) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/6 (*.f64 x x) 1) y) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y))) |
(/.f64 (fma.f64 1/6 (*.f64 x x) 1) y) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)))) |
(/.f64 (fma.f64 1/6 (*.f64 x x) 1) y) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y) 3)) |
(/.f64 (fma.f64 1/6 (*.f64 x x) 1) y) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y))) |
(/.f64 (fma.f64 1/6 (*.f64 x x) 1) y) |
(exp.f64 (log.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y))) |
(/.f64 (fma.f64 1/6 (*.f64 x x) 1) y) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) 1)) |
(/.f64 (fma.f64 1/6 (*.f64 x x) 1) y) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y))) |
(/.f64 (fma.f64 1/6 (*.f64 x x) 1) y) |
(fma.f64 (*.f64 x (*.f64 1/6 x)) (/.f64 1 y) (/.f64 1 y)) |
(/.f64 (fma.f64 1/6 (*.f64 x x) 1) y) |
(fma.f64 1 (/.f64 (*.f64 x (*.f64 1/6 x)) y) (/.f64 1 y)) |
(/.f64 (fma.f64 1/6 (*.f64 x x) 1) y) |
(fma.f64 1 (/.f64 1 y) (/.f64 (*.f64 x (*.f64 1/6 x)) y)) |
(/.f64 (fma.f64 1/6 (*.f64 x x) 1) y) |
(fma.f64 (/.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 1/6))) (/.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 1/6))) (/.f64 1 y)) |
(+.f64 (pow.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 1/6)) 2) (/.f64 1 y)) |
(+.f64 (/.f64 1 y) (pow.f64 (*.f64 (sqrt.f64 1/6) (/.f64 x (sqrt.f64 y))) 2)) |
(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (/.f64 (*.f64 x (*.f64 1/6 x)) y)) |
(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (/.f64 x (/.f64 (/.f64 y 1/6) x))) |
(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (*.f64 (*.f64 1/6 x) (/.f64 x y))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y)) 2) (cbrt.f64 (/.f64 (*.f64 x (*.f64 1/6 x)) y)) (/.f64 1 y)) |
(/.f64 (fma.f64 1/6 (*.f64 x x) 1) y) |
(fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) (/.f64 (*.f64 x (*.f64 1/6 x)) y)) |
(fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) (/.f64 x (/.f64 (/.f64 y 1/6) x))) |
(fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) (*.f64 (*.f64 1/6 x) (/.f64 x y))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 (sin.f64 x) y) | |
| ✓ | 0.6b | (/.f64 1 (/.f64 x (*.f64 (sin.f64 x) y))) |
| ✓ | 9.4b | (/.f64 x (*.f64 (sin.f64 x) y)) |
Compiled 25 to 8 computations (68% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 x (*.f64 (sin.f64 x) y)) |
| 0.0ms | x | @ | inf | (/.f64 x (*.f64 (sin.f64 x) y)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 x (*.f64 (sin.f64 x) y))) |
| 0.0ms | x | @ | -inf | (/.f64 x (*.f64 (sin.f64 x) y)) |
| 0.0ms | y | @ | -inf | (/.f64 x (*.f64 (sin.f64 x) y)) |
| 1× | batch-egg-rewrite |
| 1384× | associate-*r/ |
| 1276× | associate-/l* |
| 1032× | associate-*l/ |
| 986× | *-commutative |
| 628× | swap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 40 |
| 1 | 204 | 34 |
| 2 | 2655 | 34 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (*.f64 (sin.f64 x) y)) |
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) y))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 (sin.f64 x) y)))))))) |
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| 1× | egg-herbie |
| 770× | distribute-rgt-in |
| 756× | distribute-lft-in |
| 610× | distribute-rgt-neg-out |
| 606× | distribute-lft-neg-out |
| 486× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 367 | 4367 |
| 1 | 961 | 4301 |
| 2 | 3554 | 4295 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 1/6 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 x 4) y)) (*.f64 1/6 (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (*.f64 31/15120 (/.f64 (pow.f64 x 6) y)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 x 4) y)) (*.f64 1/6 (/.f64 (pow.f64 x 2) y))))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/.f64 x (*.f64 y (sin.f64 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 (*.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 x (*.f64 (sin.f64 x) y)))) 1) |
(*.f64 x (/.f64 1 (*.f64 (sin.f64 x) y))) |
(*.f64 x (neg.f64 (/.f64 -1 (*.f64 (sin.f64 x) y)))) |
(*.f64 (/.f64 x (*.f64 (sin.f64 x) y)) 1) |
(*.f64 1 (/.f64 x (*.f64 (sin.f64 x) y))) |
(*.f64 (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) y)))) |
(*.f64 (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) y)))))) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 (sin.f64 x) y))) |
(*.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) 2)) |
(*.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) 2) (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y)))))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (*.f64 (sin.f64 x) y))) |
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 1 y)) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) y)) x) |
(*.f64 -1 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))) |
(*.f64 (neg.f64 x) (/.f64 -1 (*.f64 (sin.f64 x) y))) |
(*.f64 (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))) (neg.f64 (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))) (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y))))) (neg.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))))) |
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 (sin.f64 x) y)) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (*.f64 (sin.f64 x) y)) (/.f64 (sqrt.f64 x) 1)) |
(*.f64 (/.f64 (cbrt.f64 x) (*.f64 (sin.f64 x) y)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (cbrt.f64 x) (*.f64 (sin.f64 x) y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(*.f64 (/.f64 x y) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 x 1) (/.f64 1 (*.f64 (sin.f64 x) y))) |
(*.f64 (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) y))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) y)))) |
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 x y)) |
(*.f64 (/.f64 1 y) (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) y))) (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) y)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)) (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) y)))) |
(*.f64 (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) y))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) y)))) (neg.f64 (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) 2)) (neg.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))))) |
(*.f64 (/.f64 -1 (*.f64 (sin.f64 x) y)) (neg.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (sin.f64 x)) (/.f64 (sqrt.f64 x) y)) |
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 (sin.f64 x) y))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (sin.f64 x) y)))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (sin.f64 x) y))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)) (/.f64 (cbrt.f64 x) y)) |
(*.f64 (/.f64 (cbrt.f64 x) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 x) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (*.f64 (sin.f64 x) y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 (sin.f64 x) y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 x) y)))) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 (sin.f64 x) y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 (sin.f64 x) y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)) (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (sin.f64 x) y)) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (/.f64 y (/.f64 (pow.f64 (cbrt.f64 x) 2) (sin.f64 x)))) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) 2))) (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) 1) (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) y)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) 2) 1) (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) 2) -1) (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y))))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y))))) (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))) (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))))) (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))))) (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) y)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) 2))) (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y)))) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) 1) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) -1) |
(pow.f64 (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) 3) |
(pow.f64 (pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) 3) 1/3) |
(neg.f64 (/.f64 x (*.f64 (sin.f64 x) (neg.f64 y)))) |
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) 2)) |
(log.f64 (exp.f64 (/.f64 x (*.f64 (sin.f64 x) y)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 (sin.f64 x) y))))) |
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 (sin.f64 x) y) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 (sin.f64 x) y)))) |
(exp.f64 (log.f64 (/.f64 x (*.f64 (sin.f64 x) y)))) |
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 (sin.f64 x) y)))) |
(-.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) y) (/.f64 1 x)) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.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 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (/.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 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) x)) |
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (*.f64 (sin.f64 x) y)) -1)) |
(*.f64 -1 (*.f64 (neg.f64 (/.f64 y x)) (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 y x) (/.f64 (sin.f64 x) 1)) |
(*.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)) x) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) x) (cbrt.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 (*.f64 (neg.f64 (/.f64 y x)) (sin.f64 x)) -1) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 x) y)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.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) (/.f64 (cbrt.f64 x) y)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 y 1)) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (/.f64 y (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (neg.f64 x)) (*.f64 (sin.f64 x) (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 y 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 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 (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 y x)))) |
(*.f64 (pow.f64 (/.f64 1 (*.f64 (sin.f64 x) y)) -1) (/.f64 1 x)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) -1) (pow.f64 (sqrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) 2) -1)) |
(*.f64 (/.f64 y (/.f64 x (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 y (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2))) (cbrt.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 (/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sqrt.f64 y)))) (sqrt.f64 y)) |
(*.f64 (/.f64 1 (/.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(*.f64 (/.f64 1 (/.f64 (neg.f64 x) (sin.f64 x))) (neg.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 1) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (neg.f64 y)))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (/.f64 1 x) -1) (*.f64 (sin.f64 x) (neg.f64 y))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sin.f64 x))) y) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 y)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) y)))) (sqrt.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2))) (cbrt.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 (/.f64 -1 (/.f64 (neg.f64 x) (sin.f64 x))) y) |
(*.f64 (/.f64 -1 x) (*.f64 (sin.f64 x) (neg.f64 y))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) 2)) 1) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) 2)) (cbrt.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 y)) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 y)))) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) -1) |
(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) |
(neg.f64 (*.f64 (neg.f64 (/.f64 y x)) (sin.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2)) |
(log.f64 (exp.f64 (*.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)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) (pow.f64 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) y)) (log.f64 x))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
| Outputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 1/6 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 1 y) (/.f64 (*.f64 1/6 (*.f64 x x)) y)) |
(fma.f64 1/6 (/.f64 x (/.f64 y x)) (/.f64 1 y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 x 4) y)) (*.f64 1/6 (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (/.f64 1 y) (fma.f64 7/360 (/.f64 (pow.f64 x 4) y) (/.f64 (*.f64 1/6 (*.f64 x x)) y))) |
(+.f64 (/.f64 1 y) (fma.f64 1/6 (/.f64 x (/.f64 y x)) (*.f64 7/360 (/.f64 (pow.f64 x 4) y)))) |
(+.f64 (/.f64 1 y) (fma.f64 7/360 (/.f64 (pow.f64 x 4) y) (/.f64 1/6 (/.f64 y (*.f64 x x))))) |
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(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (/.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (neg.f64 y)))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) (neg.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (*.f64 y (neg.f64 (sin.f64 x))))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (*.f64 (sin.f64 x) y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 1 x) -1) (*.f64 (sin.f64 x) (neg.f64 y))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sin.f64 x))) y) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 y)) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) y)))) (sqrt.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2))) (cbrt.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 -1 (/.f64 (neg.f64 x) (sin.f64 x))) y) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 -1 x) (*.f64 (sin.f64 x) (neg.f64 y))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) 2)) 1) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(/.f64 (*.f64 1 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2)) |
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2)) |
(/.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2)) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) 2)) (cbrt.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (/.f64 1 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2)))) |
(/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2) (cbrt.f64 x))) |
(/.f64 (/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2)) (cbrt.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) (cbrt.f64 y)) |
(*.f64 (cbrt.f64 y) (/.f64 1 (*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2)))) |
(/.f64 (/.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (/.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (sin.f64 x) y))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 y)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 y)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y (sin.f64 x)))) 2)) (/.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 y))))) |
(/.f64 (cbrt.f64 (*.f64 y (neg.f64 (sin.f64 x)))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (sin.f64 x))) 2) (cbrt.f64 (neg.f64 x)))) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) -1) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(neg.f64 (*.f64 (neg.f64 (/.f64 y x)) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 y x))) |
(fabs.f64 (*.f64 y (/.f64 (sin.f64 x) x))) |
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x))))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) (pow.f64 x 3))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(exp.f64 (-.f64 (log.f64 (*.f64 (sin.f64 x) y)) (log.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
Compiled 22414 to 13510 computations (39.7% saved)
45 alts after pruning (34 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1046 | 22 | 1068 |
| Fresh | 2 | 12 | 14 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 10 | 13 |
| Total | 1051 | 45 | 1096 |
| Status | Error | Program |
|---|---|---|
| 37.7b | (pow.f64 (cbrt.f64 y) 3) | |
| ✓ | 1.3b | (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
| ✓ | 1.1b | (/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| 36.9b | (/.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) 1) | |
| 38.5b | (/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (/.f64 1 y)) | |
| ✓ | 10.5b | (/.f64 (*.f64 (sin.f64 x) y) x) |
| 32.6b | (/.f64 (*.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x)))) (+.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x))))) | |
| 36.8b | (/.f64 (*.f64 y y) (/.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 1/6 (*.f64 x x)))))) (+.f64 y (*.f64 x (*.f64 x (*.f64 y -1/6)))))) | |
| 30.5b | (/.f64 (*.f64 y y) (+.f64 y (*.f64 1/6 (*.f64 y (*.f64 x x))))) | |
| ✓ | 0.1b | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
| ✓ | 36.6b | (/.f64 (sinh.f64 y) 1) |
| 1.7b | (/.f64 (sin.f64 x) (/.f64 x y)) | |
| 1.6b | (/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) | |
| 21.1b | (/.f64 x (/.f64 x y)) | |
| ✓ | 1.8b | (/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x))) |
| 20.6b | (/.f64 1 (/.f64 (/.f64 1 y) (/.f64 1 (+.f64 (*.f64 x (*.f64 1/6 x)) 1)))) | |
| 20.6b | (/.f64 1 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) | |
| 30.5b | (/.f64 1 (/.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 -1/6 (neg.f64 y)))) (*.f64 y y))) | |
| ✓ | 11.0b | (/.f64 1 (/.f64 x (*.f64 (sin.f64 x) y))) |
| 46.4b | (/.f64 1 (/.f64 x (*.f64 y x))) | |
| 37.2b | (/.f64 1 (/.f64 1 y)) | |
| 20.6b | (/.f64 1 (+.f64 (/.f64 1 y) (/.f64 x (/.f64 (/.f64 y 1/6) x)))) | |
| 20.6b | (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (/.f64 (*.f64 1/6 x) y) x))) | |
| 20.6b | (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (/.f64 1 (/.f64 y (*.f64 1/6 x))) x))) | |
| 20.6b | (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (/.f64 1 (/.f64 y 1/6)) (*.f64 x x)))) | |
| 20.6b | (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (*.f64 1/6 x) (/.f64 x y)))) | |
| 37.1b | (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) | |
| 12.0b | (/.f64 1 (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) y) x)) | |
| 20.6b | (/.f64 1 (*.f64 (/.f64 1 y) (+.f64 (*.f64 x (*.f64 1/6 x)) 1))) | |
| 43.5b | (-.f64 (+.f64 1 y) 1) | |
| 38.5b | (+.f64 y (*.f64 (*.f64 x x) (*.f64 -1/6 y))) | |
| 38.3b | (+.f64 y (*.f64 x (*.f64 x (*.f64 y -1/6)))) | |
| ✓ | 1.2b | (*.f64 (/.f64 (sin.f64 x) x) y) |
| ✓ | 1.3b | (*.f64 (/.f64 y x) (sin.f64 x)) |
| ✓ | 21.6b | (*.f64 (/.f64 y x) x) |
| 20.5b | (*.f64 (/.f64 1 (/.f64 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y)) y)) y) | |
| 32.4b | (*.f64 (/.f64 1 (+.f64 (/.f64 y (*.f64 x x)) (*.f64 y 1/6))) (*.f64 y (/.f64 y (*.f64 x x)))) | |
| 32.6b | (*.f64 (/.f64 1 (+.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x))))) (*.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x))))) | |
| 30.5b | (*.f64 (/.f64 1 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y))) (*.f64 y y)) | |
| ✓ | 10.5b | (*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) y)) |
| 38.5b | (*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y) | |
| 21.7b | (*.f64 x (*.f64 y (/.f64 1 x))) | |
| 44.5b | (*.f64 6 (/.f64 y (*.f64 x x))) | |
| 40.5b | (sqrt.f64 (*.f64 y y)) | |
| 37.1b | y |
Compiled 554 to 383 computations (30.9% saved)
| Inputs |
|---|
y |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 1 (/.f64 1 y)) |
(/.f64 x (/.f64 x y)) |
(/.f64 (*.f64 y x) x) |
(*.f64 6 (/.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y) |
(+.f64 y (*.f64 x (*.f64 x (*.f64 y -1/6)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(+.f64 y (*.f64 (*.f64 x x) (*.f64 -1/6 y))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) |
(/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (/.f64 1 y)) |
(/.f64 1 (*.f64 (/.f64 1 y) (+.f64 (*.f64 x (*.f64 1/6 x)) 1))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (*.f64 1/6 x) (/.f64 x y)))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (/.f64 (*.f64 1/6 x) y) x))) |
(/.f64 1 (+.f64 (/.f64 1 y) (/.f64 x (/.f64 (/.f64 y 1/6) x)))) |
(/.f64 1 (+.f64 (/.f64 1 y) (/.f64 (*.f64 1/6 (*.f64 x x)) y))) |
(/.f64 (*.f64 y y) (+.f64 y (*.f64 1/6 (*.f64 y (*.f64 x x))))) |
(*.f64 (/.f64 1 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y))) (*.f64 y y)) |
(*.f64 (/.f64 1 (/.f64 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y)) y)) y) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (/.f64 1 (/.f64 y 1/6)) (*.f64 x x)))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (/.f64 1 (/.f64 y (*.f64 1/6 x))) x))) |
(/.f64 1 (/.f64 (/.f64 1 y) (/.f64 1 (+.f64 (*.f64 x (*.f64 1/6 x)) 1)))) |
(/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 1 (/.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 -1/6 (neg.f64 y)))) (*.f64 y y))) |
(*.f64 (/.f64 1 (+.f64 (/.f64 y (*.f64 x x)) (*.f64 y 1/6))) (*.f64 y (/.f64 y (*.f64 x x)))) |
(/.f64 (*.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x)))) (+.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x))))) |
(*.f64 (/.f64 1 (+.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x))))) (*.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x))))) |
(/.f64 (*.f64 y y) (/.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 1/6 (*.f64 x x)))))) (+.f64 y (*.f64 x (*.f64 x (*.f64 y -1/6)))))) |
(sqrt.f64 (*.f64 y y)) |
(/.f64 (sinh.f64 y) 1) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(/.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 1 (/.f64 x (*.f64 (sin.f64 x) y))) |
(/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
(/.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) 1) |
(/.f64 1 (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) y) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(pow.f64 (cbrt.f64 y) 3) |
(*.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 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 1 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))) x) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
4 calls:
| 27.0ms | y |
| 27.0ms | x |
| 26.0ms | (sinh.f64 y) |
| 17.0ms | (/.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 597 to 321 computations (46.2% saved)
| Inputs |
|---|
y |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 1 (/.f64 1 y)) |
(/.f64 x (/.f64 x y)) |
(/.f64 (*.f64 y x) x) |
(*.f64 6 (/.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y) |
(+.f64 y (*.f64 x (*.f64 x (*.f64 y -1/6)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(+.f64 y (*.f64 (*.f64 x x) (*.f64 -1/6 y))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) |
(/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (/.f64 1 y)) |
(/.f64 1 (*.f64 (/.f64 1 y) (+.f64 (*.f64 x (*.f64 1/6 x)) 1))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (*.f64 1/6 x) (/.f64 x y)))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (/.f64 (*.f64 1/6 x) y) x))) |
(/.f64 1 (+.f64 (/.f64 1 y) (/.f64 x (/.f64 (/.f64 y 1/6) x)))) |
(/.f64 1 (+.f64 (/.f64 1 y) (/.f64 (*.f64 1/6 (*.f64 x x)) y))) |
(/.f64 (*.f64 y y) (+.f64 y (*.f64 1/6 (*.f64 y (*.f64 x x))))) |
(*.f64 (/.f64 1 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y))) (*.f64 y y)) |
(*.f64 (/.f64 1 (/.f64 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y)) y)) y) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (/.f64 1 (/.f64 y 1/6)) (*.f64 x x)))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (/.f64 1 (/.f64 y (*.f64 1/6 x))) x))) |
(/.f64 1 (/.f64 (/.f64 1 y) (/.f64 1 (+.f64 (*.f64 x (*.f64 1/6 x)) 1)))) |
(/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 1 (/.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 -1/6 (neg.f64 y)))) (*.f64 y y))) |
(*.f64 (/.f64 1 (+.f64 (/.f64 y (*.f64 x x)) (*.f64 y 1/6))) (*.f64 y (/.f64 y (*.f64 x x)))) |
(/.f64 (*.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x)))) (+.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x))))) |
(*.f64 (/.f64 1 (+.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x))))) (*.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x))))) |
(/.f64 (*.f64 y y) (/.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 1/6 (*.f64 x x)))))) (+.f64 y (*.f64 x (*.f64 x (*.f64 y -1/6)))))) |
(sqrt.f64 (*.f64 y y)) |
(/.f64 (sinh.f64 y) 1) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(/.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 1 (/.f64 x (*.f64 (sin.f64 x) y))) |
(/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
(/.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) 1) |
(/.f64 1 (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) y) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(pow.f64 (cbrt.f64 y) 3) |
| Outputs |
|---|
(/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
3 calls:
| 26.0ms | (sinh.f64 y) |
| 25.0ms | x |
| 23.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 1 | x |
| 1.1b | 1 | y |
| 1.1b | 1 | (sinh.f64 y) |
Compiled 524 to 295 computations (43.7% saved)
| Inputs |
|---|
y |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 1 (/.f64 1 y)) |
(/.f64 x (/.f64 x y)) |
(/.f64 (*.f64 y x) x) |
(*.f64 6 (/.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y) |
(+.f64 y (*.f64 x (*.f64 x (*.f64 y -1/6)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(+.f64 y (*.f64 (*.f64 x x) (*.f64 -1/6 y))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) |
(/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (/.f64 1 y)) |
(/.f64 1 (*.f64 (/.f64 1 y) (+.f64 (*.f64 x (*.f64 1/6 x)) 1))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (*.f64 1/6 x) (/.f64 x y)))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (/.f64 (*.f64 1/6 x) y) x))) |
(/.f64 1 (+.f64 (/.f64 1 y) (/.f64 x (/.f64 (/.f64 y 1/6) x)))) |
(/.f64 1 (+.f64 (/.f64 1 y) (/.f64 (*.f64 1/6 (*.f64 x x)) y))) |
(/.f64 (*.f64 y y) (+.f64 y (*.f64 1/6 (*.f64 y (*.f64 x x))))) |
(*.f64 (/.f64 1 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y))) (*.f64 y y)) |
(*.f64 (/.f64 1 (/.f64 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y)) y)) y) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (/.f64 1 (/.f64 y 1/6)) (*.f64 x x)))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (/.f64 1 (/.f64 y (*.f64 1/6 x))) x))) |
(/.f64 1 (/.f64 (/.f64 1 y) (/.f64 1 (+.f64 (*.f64 x (*.f64 1/6 x)) 1)))) |
(/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 1 (/.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 -1/6 (neg.f64 y)))) (*.f64 y y))) |
(*.f64 (/.f64 1 (+.f64 (/.f64 y (*.f64 x x)) (*.f64 y 1/6))) (*.f64 y (/.f64 y (*.f64 x x)))) |
(/.f64 (*.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x)))) (+.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x))))) |
(*.f64 (/.f64 1 (+.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x))))) (*.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x))))) |
(/.f64 (*.f64 y y) (/.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 1/6 (*.f64 x x)))))) (+.f64 y (*.f64 x (*.f64 x (*.f64 y -1/6)))))) |
(sqrt.f64 (*.f64 y y)) |
(/.f64 (sinh.f64 y) 1) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(/.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 1 (/.f64 x (*.f64 (sin.f64 x) y))) |
(/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 y)) |
(/.f64 (+.f64 y (*.f64 1/6 (pow.f64 y 3))) 1) |
(/.f64 1 (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) y) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) y) |
3 calls:
| 23.0ms | x |
| 23.0ms | (sinh.f64 y) |
| 22.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 1.2b | 1 | x |
| 1.2b | 1 | y |
| 1.2b | 1 | (sinh.f64 y) |
Compiled 508 to 286 computations (43.7% saved)
| Inputs |
|---|
y |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 1 (/.f64 1 y)) |
(/.f64 x (/.f64 x y)) |
(/.f64 (*.f64 y x) x) |
(*.f64 6 (/.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y) |
(+.f64 y (*.f64 x (*.f64 x (*.f64 y -1/6)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(+.f64 y (*.f64 (*.f64 x x) (*.f64 -1/6 y))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) |
(/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (/.f64 1 y)) |
(/.f64 1 (*.f64 (/.f64 1 y) (+.f64 (*.f64 x (*.f64 1/6 x)) 1))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (*.f64 1/6 x) (/.f64 x y)))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (/.f64 (*.f64 1/6 x) y) x))) |
(/.f64 1 (+.f64 (/.f64 1 y) (/.f64 x (/.f64 (/.f64 y 1/6) x)))) |
(/.f64 1 (+.f64 (/.f64 1 y) (/.f64 (*.f64 1/6 (*.f64 x x)) y))) |
(/.f64 (*.f64 y y) (+.f64 y (*.f64 1/6 (*.f64 y (*.f64 x x))))) |
(*.f64 (/.f64 1 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y))) (*.f64 y y)) |
(*.f64 (/.f64 1 (/.f64 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y)) y)) y) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (/.f64 1 (/.f64 y 1/6)) (*.f64 x x)))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (/.f64 1 (/.f64 y (*.f64 1/6 x))) x))) |
(/.f64 1 (/.f64 (/.f64 1 y) (/.f64 1 (+.f64 (*.f64 x (*.f64 1/6 x)) 1)))) |
(/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 1 (/.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 -1/6 (neg.f64 y)))) (*.f64 y y))) |
(*.f64 (/.f64 1 (+.f64 (/.f64 y (*.f64 x x)) (*.f64 y 1/6))) (*.f64 y (/.f64 y (*.f64 x x)))) |
(/.f64 (*.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x)))) (+.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x))))) |
(*.f64 (/.f64 1 (+.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x))))) (*.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x))))) |
(/.f64 (*.f64 y y) (/.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 1/6 (*.f64 x x)))))) (+.f64 y (*.f64 x (*.f64 x (*.f64 y -1/6)))))) |
(sqrt.f64 (*.f64 y y)) |
(/.f64 (sinh.f64 y) 1) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
| Outputs |
|---|
(*.f64 (/.f64 y x) (sin.f64 x)) |
3 calls:
| 17.0ms | y |
| 17.0ms | x |
| 17.0ms | (sinh.f64 y) |
| Error | Segments | Branch |
|---|---|---|
| 1.3b | 1 | x |
| 1.3b | 1 | y |
| 1.3b | 1 | (sinh.f64 y) |
Compiled 421 to 247 computations (41.3% saved)
| Inputs |
|---|
y |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 1 (/.f64 1 y)) |
(/.f64 x (/.f64 x y)) |
(/.f64 (*.f64 y x) x) |
(*.f64 6 (/.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y) |
(+.f64 y (*.f64 x (*.f64 x (*.f64 y -1/6)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(+.f64 y (*.f64 (*.f64 x x) (*.f64 -1/6 y))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) |
(/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (/.f64 1 y)) |
(/.f64 1 (*.f64 (/.f64 1 y) (+.f64 (*.f64 x (*.f64 1/6 x)) 1))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (*.f64 1/6 x) (/.f64 x y)))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (/.f64 (*.f64 1/6 x) y) x))) |
(/.f64 1 (+.f64 (/.f64 1 y) (/.f64 x (/.f64 (/.f64 y 1/6) x)))) |
(/.f64 1 (+.f64 (/.f64 1 y) (/.f64 (*.f64 1/6 (*.f64 x x)) y))) |
(/.f64 (*.f64 y y) (+.f64 y (*.f64 1/6 (*.f64 y (*.f64 x x))))) |
(*.f64 (/.f64 1 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y))) (*.f64 y y)) |
(*.f64 (/.f64 1 (/.f64 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y)) y)) y) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (/.f64 1 (/.f64 y 1/6)) (*.f64 x x)))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (/.f64 1 (/.f64 y (*.f64 1/6 x))) x))) |
(/.f64 1 (/.f64 (/.f64 1 y) (/.f64 1 (+.f64 (*.f64 x (*.f64 1/6 x)) 1)))) |
(/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 1 (/.f64 (+.f64 y (*.f64 (*.f64 x x) (*.f64 -1/6 (neg.f64 y)))) (*.f64 y y))) |
(*.f64 (/.f64 1 (+.f64 (/.f64 y (*.f64 x x)) (*.f64 y 1/6))) (*.f64 y (/.f64 y (*.f64 x x)))) |
(/.f64 (*.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x)))) (+.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x))))) |
(*.f64 (/.f64 1 (+.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x))))) (*.f64 y (/.f64 y (*.f64 x (*.f64 1/6 x))))) |
(/.f64 (*.f64 y y) (/.f64 (*.f64 y (-.f64 y (*.f64 y (*.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 1/6 (*.f64 x x)))))) (+.f64 y (*.f64 x (*.f64 x (*.f64 y -1/6)))))) |
(sqrt.f64 (*.f64 y y)) |
(/.f64 (sinh.f64 y) 1) |
| Outputs |
|---|
(*.f64 (/.f64 1 (/.f64 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y)) y)) y) |
3 calls:
| 16.0ms | (sinh.f64 y) |
| 16.0ms | y |
| 16.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 20.5b | 1 | x |
| 20.5b | 1 | y |
| 20.5b | 1 | (sinh.f64 y) |
Compiled 415 to 245 computations (41% saved)
| Inputs |
|---|
y |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 1 (/.f64 1 y)) |
(/.f64 x (/.f64 x y)) |
(/.f64 (*.f64 y x) x) |
(*.f64 6 (/.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y) |
(+.f64 y (*.f64 x (*.f64 x (*.f64 y -1/6)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(+.f64 y (*.f64 (*.f64 x x) (*.f64 -1/6 y))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) |
(/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (/.f64 1 y)) |
(/.f64 1 (*.f64 (/.f64 1 y) (+.f64 (*.f64 x (*.f64 1/6 x)) 1))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (*.f64 1/6 x) (/.f64 x y)))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 (/.f64 (*.f64 1/6 x) y) x))) |
(/.f64 1 (+.f64 (/.f64 1 y) (/.f64 x (/.f64 (/.f64 y 1/6) x)))) |
(/.f64 1 (+.f64 (/.f64 1 y) (/.f64 (*.f64 1/6 (*.f64 x x)) y))) |
(/.f64 (*.f64 y y) (+.f64 y (*.f64 1/6 (*.f64 y (*.f64 x x))))) |
(*.f64 (/.f64 1 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y))) (*.f64 y y)) |
| Outputs |
|---|
(/.f64 1 (*.f64 (/.f64 1 y) (+.f64 (*.f64 x (*.f64 1/6 x)) 1))) |
2 calls:
| 12.0ms | y |
| 11.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 20.6b | 1 | x |
| 20.6b | 1 | y |
Compiled 222 to 132 computations (40.5% saved)
| Inputs |
|---|
y |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 1 (/.f64 1 y)) |
(/.f64 x (/.f64 x y)) |
(/.f64 (*.f64 y x) x) |
(*.f64 6 (/.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y) |
(+.f64 y (*.f64 x (*.f64 x (*.f64 y -1/6)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(+.f64 y (*.f64 (*.f64 x x) (*.f64 -1/6 y))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) |
(/.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) (/.f64 1 y)) |
| Outputs |
|---|
(/.f64 1 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) |
2 calls:
| 11.0ms | y |
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 20.6b | 1 | x |
| 20.6b | 1 | y |
Compiled 129 to 74 computations (42.6% saved)
| Inputs |
|---|
y |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 1 (/.f64 1 y)) |
(/.f64 x (/.f64 x y)) |
(/.f64 (*.f64 y x) x) |
(*.f64 6 (/.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 1 (/.f64 x (*.f64 y x))) |
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y) |
(+.f64 y (*.f64 x (*.f64 x (*.f64 y -1/6)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(+.f64 y (*.f64 (*.f64 x x) (*.f64 -1/6 y))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| Outputs |
|---|
(/.f64 x (/.f64 x y)) |
2 calls:
| 8.0ms | x |
| 7.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 21.1b | 1 | x |
| 21.1b | 1 | y |
Compiled 107 to 59 computations (44.9% saved)
Total -38.4b remaining (-177.7%)
Threshold costs -38.4b (-177.7%)
| Inputs |
|---|
y |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 1 (/.f64 1 y)) |
| Outputs |
|---|
(*.f64 (/.f64 y x) x) |
2 calls:
| 4.0ms | x |
| 4.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 21.6b | 1 | x |
| 21.6b | 1 | y |
Compiled 24 to 16 computations (33.3% saved)
| 1× | egg-herbie |
| 20× | *-commutative |
| 6× | +-commutative |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 228 |
| 1 | 49 | 228 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y)) y)) y) |
(/.f64 1 (*.f64 (/.f64 1 y) (+.f64 (*.f64 x (*.f64 1/6 x)) 1))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) |
(/.f64 x (/.f64 x y)) |
(*.f64 (/.f64 y x) x) |
y |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 (/.f64 (+.f64 y (*.f64 (*.f64 x (*.f64 1/6 x)) y)) y)) y) |
(*.f64 y (/.f64 1 (/.f64 (+.f64 y (*.f64 y (*.f64 x (*.f64 x 1/6)))) y))) |
(/.f64 1 (*.f64 (/.f64 1 y) (+.f64 (*.f64 x (*.f64 1/6 x)) 1))) |
(/.f64 1 (*.f64 (/.f64 1 y) (+.f64 1 (*.f64 x (*.f64 x 1/6))))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 x (*.f64 1/6 x)) 1) y)) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 x (*.f64 x 1/6))) y)) |
(/.f64 x (/.f64 x y)) |
(*.f64 (/.f64 y x) x) |
(*.f64 x (/.f64 y x)) |
y |
Compiled 101 to 69 computations (31.7% 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 16 to 8 computations (50% saved)
Compiled 83 to 45 computations (45.8% saved)
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