Time bar (total: 9.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 6.3% | 6.2% | 93.7% | 0.1% | 0% | 0% | 0% | 6 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 7 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 8 |
| 49.1% | 43.7% | 45.3% | 0.1% | 10.9% | 0% | 0% | 9 |
| 49.6% | 43.7% | 44.5% | 0.1% | 11.7% | 0% | 0% | 10 |
| 56.9% | 46.8% | 35.5% | 0.1% | 17.6% | 0% | 0% | 11 |
| 57.3% | 46.8% | 34.9% | 0.1% | 18.1% | 0% | 0% | 12 |
Compiled 10 to 7 computations (30% saved)
| 988.0ms | 2069× | body | 1024 | valid |
| 947.0ms | 2025× | body | 1024 | infinite |
| 659.0ms | 5114× | body | 256 | valid |
| 562.0ms | 1030× | body | 512 | infinite |
| 443.0ms | 1070× | body | 512 | valid |
| 338.0ms | 2077× | body | 256 | infinite |
| 2.0ms | 3× | body | 2048 | valid |
| 2× | egg-herbie |
| 1300× | associate-*r/ |
| 1142× | distribute-lft-in |
| 1098× | associate-/r* |
| 988× | distribute-rgt-in |
| 824× | fma-def |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 42 |
| 1 | 30 | 42 |
| 2 | 63 | 42 |
| 3 | 138 | 42 |
| 4 | 315 | 42 |
| 5 | 747 | 42 |
| 6 | 2400 | 42 |
| 7 | 6377 | 42 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (sinh.f64 x) x)) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (sin.f64 y) (/.f64 (sinh.f64 x) x)) |
(*.f64 (sinh.f64 x) (/.f64 (sin.f64 y) x)) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 1226× | fma-neg |
| 1040× | associate-*r* |
| 842× | associate-/l* |
| 742× | distribute-lft-in |
| 686× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 18 | 21 |
| 2 | 36 | 21 |
| 3 | 75 | 21 |
| 4 | 167 | 21 |
| 5 | 389 | 21 |
| 6 | 1223 | 21 |
| 7 | 4871 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sin.f64 x) |
| ✓ | 0.0b | (sinh.f64 y) |
| ✓ | 0.0b | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 19 to 6 computations (68.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | y | @ | inf | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | x | @ | inf | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | y | @ | 0 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | x | @ | 0 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1× | batch-egg-rewrite |
| 1156× | associate-*r/ |
| 932× | *-commutative |
| 836× | associate-/r* |
| 798× | associate-*l/ |
| 690× | unswap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 31 |
| 1 | 186 | 31 |
| 2 | 2435 | 31 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(sinh.f64 y) |
(sin.f64 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 y (sinh.f64 y)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 y (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 y (sinh.f64 y)) (cbrt.f64 (sin.f64 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))))))) |
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| 1× | egg-herbie |
| 1428× | associate-*r* |
| 1302× | associate-*l* |
| 984× | times-frac |
| 696× | associate-/r* |
| 550× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 532 | 6195 |
| 1 | 1359 | 6007 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
y |
(+.f64 y (*.f64 1/6 (pow.f64 y 3))) |
(+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))) |
(+.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)))) |
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) 1) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1) |
(/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 y (sinh.f64 y)) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))))) |
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 y (sinh.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (/.f64 y (sinh.f64 y)) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 y (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 y 1)) |
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 y) (sin.f64 x))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 y (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (/.f64 y (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (/.f64 y (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 y (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 y (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 (sin.f64 x) y) (/.f64 1 (sinh.f64 y))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) (*.f64 y 2)) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y)) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y))) (sqrt.f64 y)) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) (cbrt.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (/.f64 y (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sinh.f64 y))))) |
(/.f64 (/.f64 (sin.f64 x) 1) (/.f64 y (sinh.f64 y))) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sinh.f64 y))) |
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 y) (sinh.f64 y))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 (sinh.f64 y) 2) y)) 2) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(/.f64 (*.f64 (sin.f64 x) -1) (/.f64 y (neg.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y)))) (sqrt.f64 y)) |
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y)))) (cbrt.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (sqrt.f64 y)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (cbrt.f64 y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) -1) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y))) 1) (sqrt.f64 (/.f64 y (sinh.f64 y)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (neg.f64 (sinh.f64 y)))) (sqrt.f64 (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)) 1) (cbrt.f64 (/.f64 y (sinh.f64 y)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2)) (cbrt.f64 (neg.f64 (sinh.f64 y)))) (cbrt.f64 (neg.f64 y))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) 1) (sinh.f64 y)) y) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 y (sinh.f64 y))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) 1) (sqrt.f64 (sinh.f64 y))) (/.f64 y (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) 1) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 y (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (sinh.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) 1) (*.f64 (sinh.f64 y) 2)) (*.f64 y 2)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (*.f64 (sinh.f64 y) 2) y)) 2) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) 1) -1) (/.f64 y (neg.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (sqrt.f64 y)) (sinh.f64 y)) (sqrt.f64 y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2)) (sinh.f64 y)) (cbrt.f64 y)) |
(/.f64 (*.f64 -1 (sin.f64 x)) (/.f64 y (neg.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 1 (/.f64 (sin.f64 x) y)) (/.f64 1 (sinh.f64 y))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) 2) (/.f64 (sin.f64 x) y)) 2) |
(/.f64 (*.f64 (*.f64 -2 (sinh.f64 y)) (/.f64 (sin.f64 x) y)) -2) |
(/.f64 (*.f64 (/.f64 (*.f64 (sinh.f64 y) 2) y) (sin.f64 x)) 2) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (sin.f64 x)) (sqrt.f64 y)) |
(/.f64 (*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (sin.f64 x)) (cbrt.f64 y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) 1) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y))) 1) (sqrt.f64 y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) 1) (cbrt.f64 y)) |
(/.f64 (*.f64 1 (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y)))) (sqrt.f64 (/.f64 y (sinh.f64 y)))) |
(/.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y)))) (sqrt.f64 y)) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (sinh.f64 y))) (*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y)))) (sqrt.f64 (neg.f64 y))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) (sqrt.f64 y)) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) 2)) (cbrt.f64 y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) (pow.f64 y -1)) 2) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2)) |
(/.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (cbrt.f64 (/.f64 y (sinh.f64 y))))) (cbrt.f64 (/.f64 y (sinh.f64 y)))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 y (*.f64 (sinh.f64 y) 2))) 2) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) (/.f64 y (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 y (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 y) (sqrt.f64 (sinh.f64 y)))) (/.f64 (sqrt.f64 y) (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sinh.f64 y)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) 1) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (*.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) -1) y) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y))) 1) (sqrt.f64 y)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) 1) (cbrt.f64 y)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sinh.f64 y))) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 3) 1/3) |
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (sin.f64 x))) |
(neg.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 y)))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) (neg.f64 y)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 y))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) |
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) 1) |
(-.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2)) |
(*.f64 (sinh.f64 y) 1) |
(*.f64 1 (sinh.f64 y)) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (neg.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))))) |
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (neg.f64 (neg.f64 (cbrt.f64 (sinh.f64 y))))) |
(*.f64 (*.f64 (sinh.f64 y) 2) 1/2) |
(*.f64 (sqrt.f64 (neg.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 (neg.f64 (sinh.f64 y))))) |
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (sinh.f64 y))) (cbrt.f64 (neg.f64 (sinh.f64 y)))) (neg.f64 (cbrt.f64 (neg.f64 (sinh.f64 y))))) |
(*.f64 -1 (neg.f64 (sinh.f64 y))) |
(*.f64 (neg.f64 (sqrt.f64 (sinh.f64 y))) (neg.f64 (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (neg.f64 (cbrt.f64 (sinh.f64 y)))) |
(*.f64 1/2 (*.f64 (sinh.f64 y) 2)) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (sinh.f64 y)))) (sqrt.f64 (neg.f64 (sinh.f64 y)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (sinh.f64 y))) (cbrt.f64 (neg.f64 (sinh.f64 y))))) (cbrt.f64 (neg.f64 (sinh.f64 y)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (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)))) |
(*.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 (*.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))))) |
(*.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 (sinh.f64 y) 1) |
(/.f64 1 (/.f64 1 (sinh.f64 y))) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 1 (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (sinh.f64 y) 2) 2) |
(/.f64 2 (/.f64 2 (sinh.f64 y))) |
(/.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (/.f64 2 (sqrt.f64 (*.f64 (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 -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 (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 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2)) |
(/.f64 (*.f64 (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)) 1) -2) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sinh.f64 y) 2)) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2)) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sinh.f64 y) 2)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 2)) |
(/.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 (-.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 (neg.f64 (*.f64 -2 (sinh.f64 y))) 2) |
(pow.f64 (sinh.f64 y) 1) |
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2) |
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3) |
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3) |
(neg.f64 (neg.f64 (sinh.f64 y))) |
(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))) |
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1) |
(*.f64 (sin.f64 x) 1) |
(*.f64 1 (sin.f64 x)) |
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x))))) |
(pow.f64 (sin.f64 x) 1) |
(pow.f64 (sqrt.f64 (sin.f64 x)) 2) |
(pow.f64 (cbrt.f64 (sin.f64 x)) 3) |
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3) |
(sqrt.f64 (pow.f64 (sin.f64 x) 2)) |
(log.f64 (exp.f64 (sin.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 x)))) |
(cbrt.f64 (pow.f64 (sin.f64 x) 3)) |
(expm1.f64 (log1p.f64 (sin.f64 x))) |
(exp.f64 (log.f64 (sin.f64 x))) |
(log1p.f64 (expm1.f64 (sin.f64 x))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) y) |
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y x)) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))) |
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) y)) |
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (/.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 3))) y)) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))) |
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) y))) |
(fma.f64 -1/12 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 1/240 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 5)) (/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y x)))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))) |
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 -1/10080 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 7))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) y)))) |
(fma.f64 -1/12 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 -1/10080 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 7)) (fma.f64 1/240 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 5)) (/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y x))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(/.f64 (*.f64 1/2 (sin.f64 x)) (/.f64 y (-.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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(/.f64 (*.f64 1/2 (sin.f64 x)) (/.f64 y (-.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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(/.f64 (*.f64 1/2 (sin.f64 x)) (/.f64 y (-.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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(/.f64 (*.f64 1/2 (sin.f64 x)) (/.f64 y (-.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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(/.f64 (*.f64 1/2 (sin.f64 x)) (/.f64 y (-.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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(/.f64 (*.f64 1/2 (sin.f64 x)) (/.f64 y (-.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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(/.f64 (*.f64 1/2 (sin.f64 x)) (/.f64 y (-.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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(/.f64 (*.f64 1/2 (sin.f64 x)) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (sin.f64 x) (*.f64 y y)))) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))) |
(fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (sin.f64 x) (*.f64 y y))))) |
(fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)) (*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y))))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))) |
(fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (fma.f64 1/5040 (*.f64 (sin.f64 x) (pow.f64 y 6)) (*.f64 1/6 (*.f64 (sin.f64 x) (*.f64 y y)))))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/5040 (pow.f64 y 6)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/120 (pow.f64 y 4)) 1))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(/.f64 (*.f64 1/2 (sin.f64 x)) (/.f64 y (-.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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(/.f64 (*.f64 1/2 (sin.f64 x)) (/.f64 y (-.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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(/.f64 (*.f64 1/2 (sin.f64 x)) (/.f64 y (-.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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(/.f64 (*.f64 1/2 (sin.f64 x)) (/.f64 y (-.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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(/.f64 (*.f64 1/2 (sin.f64 x)) (/.f64 y (-.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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(/.f64 (*.f64 1/2 (sin.f64 x)) (/.f64 y (-.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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(/.f64 (*.f64 1/2 (sin.f64 x)) (/.f64 y (-.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)))) y)) |
(/.f64 (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(/.f64 (*.f64 1/2 (sin.f64 x)) (/.f64 y (-.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)))) |
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(fma.f64 (pow.f64 x 3) -1/6 x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x)) |
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 1/120 x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x))) |
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(/.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(sinh.f64 y) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 1 (cbrt.f64 (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 (*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (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 -2 (sinh.f64 y)) -2) |
(sinh.f64 y) |
(/.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 (exp.f64 y) 2 (/.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 (exp.f64 (+.f64 y y)) (+.f64 1 (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(/.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2)) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (sinh.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 2)) (sqrt.f64 (*.f64 2 (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 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (cbrt.f64 2)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(/.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 (sinh.f64 y)) (/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (sinh.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 2)) (sqrt.f64 (*.f64 2 (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 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (cbrt.f64 2)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(/.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 (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 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (/.f64 (+.f64 (exp.f64 (+.f64 y y)) (*.f64 (exp.f64 (neg.f64 y)) (+.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) 1/2)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 y) 3) (pow.f64 (exp.f64 (neg.f64 y)) 3)) (/.f64 (+.f64 (exp.f64 (+.f64 y y)) (+.f64 1 (exp.f64 (-.f64 (neg.f64 y) y)))) 1/2)) |
(/.f64 (neg.f64 (*.f64 -2 (sinh.f64 y))) 2) |
(sinh.f64 y) |
(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 (neg.f64 (sinh.f64 y))) |
(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) |
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1) |
(sin.f64 x) |
(*.f64 (sin.f64 x) 1) |
(sin.f64 x) |
(*.f64 1 (sin.f64 x)) |
(sin.f64 x) |
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(sin.f64 x) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x)))) |
(sin.f64 x) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x))))) |
(sin.f64 x) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))) |
(pow.f64 (sin.f64 x) 1) |
(sin.f64 x) |
(pow.f64 (sqrt.f64 (sin.f64 x)) 2) |
(sin.f64 x) |
(pow.f64 (cbrt.f64 (sin.f64 x)) 3) |
(sin.f64 x) |
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3) |
(sin.f64 x) |
(sqrt.f64 (pow.f64 (sin.f64 x) 2)) |
(fabs.f64 (sin.f64 x)) |
(log.f64 (exp.f64 (sin.f64 x))) |
(sin.f64 x) |
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 x)))) |
(sin.f64 x) |
(cbrt.f64 (pow.f64 (sin.f64 x) 3)) |
(sin.f64 x) |
(expm1.f64 (log1p.f64 (sin.f64 x))) |
(sin.f64 x) |
(exp.f64 (log.f64 (sin.f64 x))) |
(sin.f64 x) |
(log1p.f64 (expm1.f64 (sin.f64 x))) |
(sin.f64 x) |
Compiled 4539 to 1700 computations (62.5% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 285 | 6 | 291 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 286 | 6 | 292 |
| Status | Error | Program |
|---|---|---|
| ▶ | 13.0b | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) |
| 33.1b | (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))))) | |
| ▶ | 0.2b | (/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))) |
| ▶ | 0.3b | (*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
| ▶ | 33.7b | (*.f64 x (/.f64 (sinh.f64 y) y)) |
| ▶ | 0.6b | (sin.f64 x) |
Compiled 116 to 78 computations (32.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.0b | (/.f64 y (sinh.f64 y)) |
| ✓ | 0.1b | (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)) |
| ✓ | 0.2b | (/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))) |
Compiled 29 to 9 computations (69% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)) |
| 1.0ms | x | @ | 0 | (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)) |
| 1.0ms | y | @ | inf | (/.f64 y (sinh.f64 y)) |
| 1.0ms | y | @ | -inf | (/.f64 y (sinh.f64 y)) |
| 1.0ms | y | @ | inf | (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)) |
| 1× | batch-egg-rewrite |
| 1052× | associate-/r/ |
| 922× | unswap-sqr |
| 792× | swap-sqr |
| 600× | associate-/l/ |
| 496× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 59 |
| 1 | 233 | 53 |
| 2 | 3162 | 53 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))) |
(/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)) |
(/.f64 y (sinh.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) (/.f64 (sin.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) y) (pow.f64 (/.f64 1 (sin.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sinh.f64 y) y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (sinh.f64 y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (/.f64 (sin.f64 x) 1) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1 (sqrt.f64 (/.f64 (sinh.f64 y) y))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 y (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 y)) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (sqrt.f64 y)))))) (#(struct:change 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y)) 2)))) (cbrt.f64 (/.f64 y (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 -2 (sinh.f64 y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (sinh.f64 y)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 y) (*.f64 -2 (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y 1) 1) (/.f64 2 (*.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y 1) (*.f64 2 (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y 1) (*.f64 -2 (sinh.f64 y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 y) (sinh.f64 y)))) (sqrt.f64 (/.f64 (neg.f64 y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 y) (sinh.f64 y))) (cbrt.f64 (/.f64 (neg.f64 y) (sinh.f64 y))))) (cbrt.f64 (/.f64 (neg.f64 y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))))) (sqrt.f64 (/.f64 y (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2)))) (cbrt.f64 (/.f64 y (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))) (cbrt.f64 (/.f64 y (sinh.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))) (cbrt.f64 (/.f64 y (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (cbrt.f64 (/.f64 y (sinh.f64 y)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (cbrt.f64 (/.f64 y (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))))) (*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))) (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))) (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 y)) (*.f64 (sqrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 y) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 y) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sinh.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (sinh.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (sinh.f64 y)))))))) |
| 1× | egg-herbie |
| 1144× | *-commutative |
| 1066× | associate-*r* |
| 964× | associate-*r/ |
| 948× | associate-*l* |
| 858× | associate-*l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 721 | 13286 |
| 1 | 2060 | 9944 |
| 1× | node limit |
| Inputs |
|---|
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(/.f64 1 (sin.f64 x)) |
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (/.f64 1 (sin.f64 x)) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))))) |
(+.f64 (/.f64 1 (sin.f64 x)) (+.f64 (*.f64 -31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x)))))) |
(*.f64 2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 3))) (*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 x 5) (+.f64 (*.f64 -1/2520 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (*.f64 1/360 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 1/6 (+.f64 (*.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 3))) (*.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))))) |
(*.f64 2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
(*.f64 2 (/.f64 y (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) |
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))) |
(+.f64 1 (+.f64 (*.f64 -31/15120 (pow.f64 y 6)) (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4))))) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) |
(*.f64 1 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) |
(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) y) (/.f64 (sin.f64 x) 1)) |
(*.f64 (/.f64 (sinh.f64 y) y) (pow.f64 (/.f64 1 (sin.f64 x)) -1)) |
(*.f64 -1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 y)))) |
(*.f64 (*.f64 (/.f64 (sinh.f64 y) y) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 (sinh.f64 y) y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) (neg.f64 y))) -1) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) |
(*.f64 (/.f64 1 y) (*.f64 (sinh.f64 y) (sin.f64 x))) |
(*.f64 (/.f64 1 y) (*.f64 (/.f64 (sin.f64 x) 1) (sinh.f64 y))) |
(*.f64 (*.f64 1 (sqrt.f64 (/.f64 (sinh.f64 y) y))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y))))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 y (sinh.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (/.f64 1 (neg.f64 y)) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y))) |
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(*.f64 (/.f64 (sqrt.f64 y) (*.f64 (sinh.f64 y) (sin.f64 x))) (sqrt.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) 2) 1) (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) 2) -1) (cbrt.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2)) (sin.f64 x)) (cbrt.f64 (/.f64 y (sinh.f64 y)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (sinh.f64 y) (sin.f64 x))) (cbrt.f64 y)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 y (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)) y) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (/.f64 y (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 y (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) -1) (/.f64 (neg.f64 y) (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (sinh.f64 y))) (neg.f64 y)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (*.f64 2 (sinh.f64 y))) (*.f64 y 2)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 y))) (sqrt.f64 y)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y)))) (cbrt.f64 y)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 y)) (/.f64 1 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (*.f64 1 (sqrt.f64 (/.f64 (sinh.f64 y) y)))) (sqrt.f64 (/.f64 y (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2)))) (cbrt.f64 (/.f64 y (sinh.f64 y)))) |
(*.f64 (/.f64 (*.f64 y (/.f64 1 (sin.f64 x))) 1) (/.f64 2 (*.f64 2 (sinh.f64 y)))) |
(*.f64 (/.f64 (*.f64 y (/.f64 1 (sin.f64 x))) (*.f64 2 (sinh.f64 y))) 2) |
(*.f64 (/.f64 (*.f64 y (/.f64 1 (sin.f64 x))) (*.f64 -2 (sinh.f64 y))) -2) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) (/.f64 1 (sin.f64 x))) (*.f64 -2 (sinh.f64 y))) 2) |
(*.f64 (/.f64 (/.f64 y (sin.f64 x)) 1) (/.f64 2 (*.f64 2 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 x)) (*.f64 2 (sinh.f64 y))) 2) |
(*.f64 (/.f64 (/.f64 y (sin.f64 x)) (*.f64 -2 (sinh.f64 y))) -2) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (sin.f64 x)))) (sqrt.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (sin.f64 x)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (sin.f64 x))) (cbrt.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (sin.f64 x))))) (cbrt.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (sin.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))))) (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) 2))) (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))) (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))) (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))) (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))) (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))))) (*.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 y (sinh.f64 y)))) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (/.f64 y (sinh.f64 y))))) |
(pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))) 1) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) -1) |
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) 3) |
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))) 3) 1/3) |
(neg.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (sin.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))) 2)) |
(log.f64 (exp.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))))) |
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(exp.f64 (log.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sinh.f64 y)))) 1) |
(*.f64 1 (/.f64 y (sinh.f64 y))) |
(*.f64 y (/.f64 1 (sinh.f64 y))) |
(*.f64 y (neg.f64 (/.f64 -1 (sinh.f64 y)))) |
(*.f64 (/.f64 y (sinh.f64 y)) 1) |
(*.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 (/.f64 y (sinh.f64 y)))) |
(*.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 y (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2)) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))))) |
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 1 (sinh.f64 y)))) |
(*.f64 (/.f64 1 (sinh.f64 y)) y) |
(*.f64 -1 (/.f64 (neg.f64 y) (sinh.f64 y))) |
(*.f64 (neg.f64 y) (/.f64 -1 (sinh.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 (neg.f64 y) (sinh.f64 y))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 y) (sinh.f64 y))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 y) (sinh.f64 y))) (cbrt.f64 (/.f64 (neg.f64 y) (sinh.f64 y)))) (neg.f64 (cbrt.f64 (/.f64 (neg.f64 y) (sinh.f64 y))))) |
(*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (/.f64 y (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 y (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 y 1) (/.f64 2 (*.f64 2 (sinh.f64 y)))) |
(*.f64 (/.f64 1 (*.f64 2 (sinh.f64 y))) (*.f64 y 2)) |
(*.f64 (/.f64 y (*.f64 2 (sinh.f64 y))) 2) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (neg.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))))) |
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))) (neg.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))))) |
(*.f64 (/.f64 -1 (sinh.f64 y)) (neg.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 y) (sinh.f64 y)) (sqrt.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sinh.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (sinh.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 y (sinh.f64 y)))) |
(*.f64 (/.f64 1 (/.f64 (sinh.f64 y) (sqrt.f64 y))) (sqrt.f64 y)) |
(*.f64 (/.f64 1 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y)))) (cbrt.f64 y)) |
(*.f64 (/.f64 1 (/.f64 1 y)) (/.f64 1 (sinh.f64 y))) |
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2)))) (cbrt.f64 (/.f64 y (sinh.f64 y)))) |
(*.f64 (/.f64 y (*.f64 -2 (sinh.f64 y))) -2) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (sinh.f64 y)) (cbrt.f64 y)) |
(*.f64 (/.f64 (neg.f64 y) (*.f64 -2 (sinh.f64 y))) 2) |
(*.f64 (/.f64 (/.f64 y 1) 1) (/.f64 2 (*.f64 2 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 y 1) (*.f64 2 (sinh.f64 y))) 2) |
(*.f64 (/.f64 (/.f64 y 1) (*.f64 -2 (sinh.f64 y))) -2) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) (sqrt.f64 2)) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (cbrt.f64 2)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 y) (sinh.f64 y)))) (sqrt.f64 (/.f64 (neg.f64 y) (sinh.f64 y)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 y) (sinh.f64 y))) (cbrt.f64 (/.f64 (neg.f64 y) (sinh.f64 y))))) (cbrt.f64 (/.f64 (neg.f64 y) (sinh.f64 y)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))))) (sqrt.f64 (/.f64 y (sinh.f64 y)))) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2)))) (cbrt.f64 (/.f64 y (sinh.f64 y)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))) (cbrt.f64 (/.f64 y (sinh.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))) (cbrt.f64 (/.f64 y (sinh.f64 y))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (cbrt.f64 (/.f64 y (sinh.f64 y)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (cbrt.f64 (/.f64 y (sinh.f64 y))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))))) (*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))) (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))) (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 y)) (*.f64 (sqrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 y))) |
(pow.f64 (/.f64 y (sinh.f64 y)) 1) |
(pow.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 2) |
(pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 3) |
(pow.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3) 1/3) |
(pow.f64 (/.f64 (sinh.f64 y) y) -1) |
(neg.f64 (/.f64 (neg.f64 y) (sinh.f64 y))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 1)) |
(sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2)) |
(log.f64 (exp.f64 (/.f64 y (sinh.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sinh.f64 y))))) |
(cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sinh.f64 y) 3))) |
(expm1.f64 (log1p.f64 (/.f64 y (sinh.f64 y)))) |
(exp.f64 (log.f64 (/.f64 y (sinh.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (sinh.f64 y))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 y (sinh.f64 y)))) |
| Outputs |
|---|
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (sin.f64 x) (*.f64 y y)))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))) |
(fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (sin.f64 x) (*.f64 y y))))) |
(fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)) (*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))) |
(fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (fma.f64 1/5040 (*.f64 (sin.f64 x) (pow.f64 y 6)) (*.f64 1/6 (*.f64 (sin.f64 x) (*.f64 y y)))))) |
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/5040 (pow.f64 y 6)))) (*.f64 (+.f64 (*.f64 1/120 (pow.f64 y 4)) 1) (sin.f64 x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) |
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1 |
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(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 y (sinh.f64 y)))) |
(*.f64 (/.f64 y (*.f64 -2 (sinh.f64 y))) -2) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (sinh.f64 y)) (cbrt.f64 y)) |
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 1 (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (*.f64 y y)) (/.f64 (cbrt.f64 y) (sinh.f64 y))) |
(*.f64 (/.f64 (neg.f64 y) (*.f64 -2 (sinh.f64 y))) 2) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 y 1) 1) (/.f64 2 (*.f64 2 (sinh.f64 y)))) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 y 1) (*.f64 2 (sinh.f64 y))) 2) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 y 1) (*.f64 -2 (sinh.f64 y))) -2) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 2 (sinh.f64 y)))) (sqrt.f64 2)) |
(*.f64 (/.f64 y (*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2)) |
(*.f64 (/.f64 y (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (*.f64 2 (sinh.f64 y))))) (sqrt.f64 2)) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) (cbrt.f64 2)) |
(/.f64 (*.f64 (/.f64 y (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 2)) (cbrt.f64 (*.f64 2 (sinh.f64 y)))) |
(*.f64 (/.f64 y (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (*.f64 2 (sinh.f64 y))))) (cbrt.f64 2)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 y) (sinh.f64 y)))) (sqrt.f64 (/.f64 (neg.f64 y) (sinh.f64 y)))) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (neg.f64 y) (sinh.f64 y))) (cbrt.f64 (/.f64 (neg.f64 y) (sinh.f64 y))))) (cbrt.f64 (/.f64 (neg.f64 y) (sinh.f64 y)))) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))))) (sqrt.f64 (/.f64 y (sinh.f64 y)))) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2)))) (cbrt.f64 (/.f64 y (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 y (sinh.f64 y)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))) (cbrt.f64 (/.f64 y (sinh.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))) (cbrt.f64 (/.f64 y (sinh.f64 y))))) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (cbrt.f64 (/.f64 y (sinh.f64 y)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (cbrt.f64 (/.f64 y (sinh.f64 y))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (cbrt.f64 (/.f64 y (sinh.f64 y)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 y (sinh.f64 y)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))))) (*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 y (sinh.f64 y)))))) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))) (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))) (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (cbrt.f64 (sqrt.f64 (/.f64 y (sinh.f64 y)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 y)) (*.f64 (sqrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 y))) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
(pow.f64 (/.f64 y (sinh.f64 y)) 1) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
(pow.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 2) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
(pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 3) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
(pow.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3) 1/3) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
(pow.f64 (/.f64 (sinh.f64 y) y) -1) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
(neg.f64 (/.f64 (neg.f64 y) (sinh.f64 y))) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) 1)) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
(sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2)) |
(fabs.f64 (/.f64 y (sinh.f64 y))) |
(log.f64 (exp.f64 (/.f64 y (sinh.f64 y)))) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sinh.f64 y))))) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
(cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3)) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sinh.f64 y) 3))) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
(expm1.f64 (log1p.f64 (/.f64 y (sinh.f64 y)))) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
(exp.f64 (log.f64 (/.f64 y (sinh.f64 y)))) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (sinh.f64 y))) 1)) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
(log1p.f64 (expm1.f64 (/.f64 y (sinh.f64 y)))) |
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 y (sinh.f64 y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sin.f64 x) |
Compiled 5 to 3 computations (40% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 x (/.f64 (sinh.f64 y) y)) |
| 0.0b | (sinh.f64 y) |
Compiled 16 to 5 computations (68.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (*.f64 x (/.f64 (sinh.f64 y) y)) |
| 1.0ms | x | @ | 0 | (*.f64 x (/.f64 (sinh.f64 y) y)) |
| 1.0ms | y | @ | inf | (*.f64 x (/.f64 (sinh.f64 y) y)) |
| 0.0ms | x | @ | inf | (*.f64 x (/.f64 (sinh.f64 y) y)) |
| 0.0ms | x | @ | -inf | (*.f64 x (/.f64 (sinh.f64 y) y)) |
| 1× | batch-egg-rewrite |
| 1816× | add-sqr-sqrt |
| 1802× | *-un-lft-identity |
| 1676× | add-cube-cbrt |
| 1648× | add-cbrt-cube |
| 174× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 167 | 17 |
| 2 | 2210 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (/.f64 (sinh.f64 y) y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (sinh.f64 y) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sinh.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (sinh.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sinh.f64 y)) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (sinh.f64 y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (sinh.f64 y)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (sinh.f64 y)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (sinh.f64 y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sinh.f64 y) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sinh.f64 y) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (sinh.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (sinh.f64 y) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 (sinh.f64 y) y)))))))) |
| 1× | egg-herbie |
| 1240× | associate-*r* |
| 1068× | associate-*l* |
| 710× | associate-+r+ |
| 590× | associate-+l+ |
| 408× | associate-*r/ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 1258 |
| 1 | 211 | 1258 |
| 2 | 753 | 1246 |
| 3 | 5015 | 1244 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
x |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (sinh.f64 y) y)))) 1) |
(/.f64 x (/.f64 y (sinh.f64 y))) |
(/.f64 1 (/.f64 y (*.f64 x (sinh.f64 y)))) |
(/.f64 (*.f64 x (sinh.f64 y)) y) |
(/.f64 (*.f64 x (neg.f64 (sinh.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 (sinh.f64 y)) x) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 x (sinh.f64 y)) 1) y) |
(/.f64 (/.f64 (*.f64 x (sinh.f64 y)) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 (*.f64 x (sinh.f64 y)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) |
(/.f64 (neg.f64 (*.f64 x (sinh.f64 y))) (neg.f64 y)) |
(pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sinh.f64 y) y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sinh.f64 y) y))) 3) |
(pow.f64 (pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (sinh.f64 y) y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (sinh.f64 y) y))))) |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (sinh.f64 y) y)))) |
(exp.f64 (log.f64 (*.f64 x (/.f64 (sinh.f64 y) y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (sinh.f64 y) y))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (sinh.f64 y) y)))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y x)) |
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) 1/2)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y x)) |
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) 1/2)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y x)) |
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) 1/2)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y x)) |
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) 1/2)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y x)) |
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) 1/2)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y x)) |
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) 1/2)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y x)) |
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) 1/2)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y x)) |
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) 1/2)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y x)) |
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) 1/2)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y x)) |
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) 1/2)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y x)) |
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) 1/2)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y x)) |
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) 1/2)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
x |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 1/6 (*.f64 x (*.f64 y y)) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(fma.f64 1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x)) |
(fma.f64 x (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(fma.f64 1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 1/5040 (*.f64 x (pow.f64 y 6)) x))) |
(fma.f64 x (*.f64 y (*.f64 y 1/6)) (fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6))) x)) |
(*.f64 x (+.f64 (fma.f64 1/6 (*.f64 y y) 1) (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6))))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y x)) |
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) 1/2)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y x)) |
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) 1/2)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y x)) |
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) 1/2)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y x)) |
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) 1/2)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y x)) |
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) 1/2)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y x)) |
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) 1/2)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y x)) |
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) 1/2)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 y x)) |
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y x) 1/2)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (sinh.f64 y) y)))) 1) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 x (/.f64 y (sinh.f64 y))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 1 (/.f64 y (*.f64 x (sinh.f64 y)))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 x (sinh.f64 y)) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 x (neg.f64 (sinh.f64 y))) (neg.f64 y)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 (neg.f64 (sinh.f64 y)) x) (neg.f64 y)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 x (sinh.f64 y)) 1) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 x (sinh.f64 y)) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(/.f64 (/.f64 (*.f64 x (sinh.f64 y)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)) |
(/.f64 (*.f64 x (sinh.f64 y)) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y)))) |
(/.f64 (*.f64 x (sinh.f64 y)) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y))) |
(*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 (sinh.f64 y) (cbrt.f64 y))) |
(*.f64 (/.f64 x (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y))) (sinh.f64 y)) |
(/.f64 (neg.f64 (*.f64 x (sinh.f64 y))) (neg.f64 y)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 1) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sinh.f64 y) y))) 2) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sinh.f64 y) y))) 3) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(pow.f64 (pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 3) 1/3) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 2)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (sinh.f64 y) y))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (sinh.f64 y) y))))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 3)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (sinh.f64 y) y)))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(exp.f64 (log.f64 (*.f64 x (/.f64 (sinh.f64 y) y)))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (sinh.f64 y) y))) 1)) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (sinh.f64 y) y)))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 x y)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sin.f64 x) | |
| ✓ | 0.0b | (*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
| ✓ | 0.2b | (*.f64 1/6 (*.f64 y y)) |
Compiled 33 to 17 computations (48.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | (*.f64 1/6 (*.f64 y y)) |
| 1.0ms | x | @ | inf | (*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
| 0.0ms | x | @ | 0 | (*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
| 0.0ms | y | @ | inf | (*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
| 0.0ms | y | @ | inf | (*.f64 1/6 (*.f64 y y)) |
| 1× | batch-egg-rewrite |
| 1066× | *-commutative |
| 848× | unswap-sqr |
| 652× | swap-sqr |
| 516× | distribute-lft-in |
| 514× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 42 |
| 1 | 246 | 38 |
| 2 | 3047 | 38 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/6 (*.f64 y y)) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 1/6 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 y (*.f64 1/6 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (*.f64 1/6 y) y 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/6 y) y 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 y (*.f64 1/6 y)))) (+.f64 (/.f64 (pow.f64 y 4) (/.f64 (-.f64 1 (*.f64 y (*.f64 1/6 y))) 1/36)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 1/6 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 1/6 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 1/6 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 1/6 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 x))) (-.f64 1 (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x)) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 1 (fma.f64 (*.f64 1/6 y) y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)) (/.f64 (-.f64 1 (*.f64 y (*.f64 1/6 y))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3)) (/.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 1/6 y) y 1)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 1/6 y) y 1) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) 1 (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 x) (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x))))))) |
| 1× | egg-herbie |
| 1696× | associate-/l* |
| 1214× | distribute-lft-in |
| 1092× | distribute-rgt-in |
| 1056× | *-commutative |
| 864× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 235 | 4408 |
| 1 | 665 | 4082 |
| 2 | 2601 | 3948 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(+.f64 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 3)))) |
(+.f64 (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 5))) (+.f64 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 3))))) |
(+.f64 (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 5))) (+.f64 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) (+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 3))) (*.f64 -1/5040 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 7)))))) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (*.f64 y (*.f64 1/6 y)) 0) |
(+.f64 1 (-.f64 (*.f64 y (*.f64 1/6 y)) 1)) |
(-.f64 (fma.f64 (*.f64 1/6 y) y 1) 1) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/6 y) y 1))) 2) |
(-.f64 (/.f64 1 (-.f64 1 (*.f64 y (*.f64 1/6 y)))) (+.f64 (/.f64 (pow.f64 y 4) (/.f64 (-.f64 1 (*.f64 y (*.f64 1/6 y))) 1/36)) 1)) |
(pow.f64 (*.f64 y (*.f64 1/6 y)) 1) |
(pow.f64 (*.f64 y (sqrt.f64 1/6)) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 1/6 y))) 3) |
(pow.f64 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/36)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) y) 1/6)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 1/6 y))))) |
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 1/6 y)))) |
(exp.f64 (log.f64 (*.f64 y (*.f64 1/6 y)))) |
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 1/6 y)))) |
(+.f64 (sin.f64 x) (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x))) |
(+.f64 (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x)) (sin.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1)))) 1) |
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) (-.f64 1 (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x)))) |
(-.f64 (+.f64 (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x)) (exp.f64 (log1p.f64 (sin.f64 x)))) 1) |
(/.f64 (sin.f64 x) (/.f64 1 (fma.f64 (*.f64 1/6 y) y 1))) |
(/.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)) (/.f64 (-.f64 1 (*.f64 y (*.f64 1/6 y))) (sin.f64 x))) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3)) (/.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) -1/6))) (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))) (-.f64 1 (*.f64 y (*.f64 1/6 y)))) |
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3))) (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) -1/6)))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 y 4) 1/36))) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 y (*.f64 1/6 y))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x)) 3)) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x)) (-.f64 (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x)) (sin.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 (pow.f64 y 4) 1/36) 1)) (-.f64 (*.f64 y (*.f64 1/6 y)) 1)) |
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (neg.f64 (*.f64 (pow.f64 y 4) -1/36)))) (+.f64 -1 (neg.f64 (*.f64 y (*.f64 y -1/6))))) |
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (neg.f64 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3)))) (+.f64 -1 (neg.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) -1/6))))) |
(/.f64 (*.f64 1 (*.f64 (sin.f64 x) (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)))) (-.f64 1 (*.f64 y (*.f64 1/6 y)))) |
(/.f64 (*.f64 1 (*.f64 (sin.f64 x) (+.f64 1 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3)))) (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) -1/6)))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 y 4) 1/36)))) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 y (*.f64 1/6 y))))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x)) 3))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x)) (-.f64 (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x)) (sin.f64 x))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (+.f64 1 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3)))) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) -1/6))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)))) (sqrt.f64 (-.f64 1 (*.f64 y (*.f64 1/6 y))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/6 y) y 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) -1/6))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/6 y) y 1)) 2)) (cbrt.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)))) (cbrt.f64 (-.f64 1 (*.f64 y (*.f64 1/6 y))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y 4) 1/36) 1) (sin.f64 x)) (-.f64 (*.f64 y (*.f64 1/6 y)) 1)) |
(/.f64 (*.f64 (+.f64 -1 (neg.f64 (*.f64 (pow.f64 y 4) -1/36))) (sin.f64 x)) (+.f64 -1 (neg.f64 (*.f64 y (*.f64 y -1/6))))) |
(/.f64 (*.f64 (+.f64 -1 (neg.f64 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3))) (sin.f64 x)) (+.f64 -1 (neg.f64 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) -1/6))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))) 1) (-.f64 1 (*.f64 y (*.f64 1/6 y)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 1 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3))) 1) (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) -1/6)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 y 4) 1/36))) 1) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 y (*.f64 1/6 y))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x)) 3)) 1) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x)) (-.f64 (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x)) (sin.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3))) (*.f64 (sin.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))))) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) -1/6))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))) (*.f64 (sin.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))))) (sqrt.f64 (-.f64 1 (*.f64 y (*.f64 1/6 y))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))) 1) (-.f64 1 (*.f64 y (*.f64 1/6 y)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))) (sqrt.f64 (-.f64 1 (*.f64 y (*.f64 1/6 y))))) (sqrt.f64 (-.f64 1 (*.f64 y (*.f64 1/6 y))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 y (*.f64 1/6 y)))) (cbrt.f64 (-.f64 1 (*.f64 y (*.f64 1/6 y)))))) (cbrt.f64 (-.f64 1 (*.f64 y (*.f64 1/6 y))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 1 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3))) 1) (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) -1/6)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 1 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3))) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) -1/6))))) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) -1/6))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 1 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3))) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) -1/6)))) (cbrt.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) -1/6)))))) (cbrt.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) -1/6))))) |
(pow.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1)) 2)) |
(log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 1/6 y) y 1)) (sin.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 1/6 y) y 1) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1)))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1)))) |
(fma.f64 (sin.f64 x) 1 (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x))) |
(fma.f64 1 (sin.f64 x) (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x))) |
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x))) |
| Outputs |
|---|
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 3)))) |
(fma.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) x (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (pow.f64 x 3)))) |
(fma.f64 x (fma.f64 1/6 (*.f64 y y) 1) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (fma.f64 1/6 (*.f64 y y) 1)))) |
(*.f64 (fma.f64 1/6 (*.f64 y y) 1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 5))) (+.f64 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 3))))) |
(fma.f64 1/120 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (pow.f64 x 5)) (fma.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) x (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (pow.f64 x 3))))) |
(fma.f64 1/120 (*.f64 (pow.f64 x 5) (fma.f64 1/6 (*.f64 y y) 1)) (fma.f64 x (fma.f64 1/6 (*.f64 y y) 1) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (fma.f64 1/6 (*.f64 y y) 1))))) |
(fma.f64 1/120 (*.f64 (pow.f64 x 5) (fma.f64 1/6 (*.f64 y y) 1)) (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))) |
(+.f64 (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 5))) (+.f64 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) (+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 3))) (*.f64 -1/5040 (*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 7)))))) |
(fma.f64 1/120 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (pow.f64 x 5)) (fma.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) x (fma.f64 -1/6 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (pow.f64 x 3)) (*.f64 -1/5040 (*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (pow.f64 x 7)))))) |
(fma.f64 1/120 (*.f64 (pow.f64 x 5) (fma.f64 1/6 (*.f64 y y) 1)) (fma.f64 x (fma.f64 1/6 (*.f64 y y) 1) (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (fma.f64 1/6 (*.f64 y y) 1)) (*.f64 -1/5040 (*.f64 (pow.f64 x 7) (fma.f64 1/6 (*.f64 y y) 1)))))) |
(+.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/5040 (pow.f64 x 7)))) (*.f64 (fma.f64 1/6 (*.f64 y y) 1) (+.f64 x (*.f64 1/120 (pow.f64 x 5))))) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (pow.f64 y 2)))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))) |
(*.f64 1/6 (*.f64 (sin.f64 x) (*.f64 y y))) |
(*.f64 (sin.f64 x) (*.f64 1/6 (*.f64 y y))) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))) |
(*.f64 1/6 (*.f64 (sin.f64 x) (*.f64 y y))) |
(*.f64 (sin.f64 x) (*.f64 1/6 (*.f64 y y))) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(+.f64 (*.f64 y (*.f64 1/6 y)) 0) |
(*.f64 1/6 (*.f64 y y)) |
(+.f64 1 (-.f64 (*.f64 y (*.f64 1/6 y)) 1)) |
(*.f64 1/6 (*.f64 y y)) |
(-.f64 (fma.f64 (*.f64 1/6 y) y 1) 1) |
(*.f64 1/6 (*.f64 y y)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/6 y) y 1))) 2) |
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/6 y) y 1))) -2) |
(+.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (*.f64 y y) 1))) -2) |
(-.f64 (/.f64 1 (-.f64 1 (*.f64 y (*.f64 1/6 y)))) (+.f64 (/.f64 (pow.f64 y 4) (/.f64 (-.f64 1 (*.f64 y (*.f64 1/6 y))) 1/36)) 1)) |
(-.f64 (/.f64 1 (-.f64 1 (*.f64 y (*.f64 1/6 y)))) (+.f64 1 (*.f64 (/.f64 (pow.f64 y 4) (-.f64 1 (*.f64 y (*.f64 1/6 y)))) 1/36))) |
(-.f64 (/.f64 1 (-.f64 1 (*.f64 1/6 (*.f64 y y)))) (fma.f64 (/.f64 (pow.f64 y 4) (-.f64 1 (*.f64 1/6 (*.f64 y y)))) 1/36 1)) |
(+.f64 (/.f64 1 (-.f64 1 (*.f64 1/6 (*.f64 y y)))) (-.f64 -1 (/.f64 (pow.f64 y 4) (-.f64 36 (/.f64 (*.f64 y y) 1/6))))) |
(pow.f64 (*.f64 y (*.f64 1/6 y)) 1) |
(*.f64 1/6 (*.f64 y y)) |
(pow.f64 (*.f64 y (sqrt.f64 1/6)) 2) |
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(/.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))) 1) (-.f64 1 (*.f64 y (*.f64 1/6 y)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)) (-.f64 1 (*.f64 y (*.f64 1/6 y)))) (sin.f64 x)) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (*.f64 1/6 (*.f64 y y))) (fma.f64 (pow.f64 y 4) -1/36 1))) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (pow.f64 y 4) -1/36 1)) (-.f64 1 (*.f64 1/6 (*.f64 y y)))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 1 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3))) 1) (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) -1/6)))) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3)) (/.f64 (+.f64 1 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) 1/36 -1/6))) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/36) -1/6) 1))) |
(/.f64 (sin.f64 x) (/.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/36) -1/6) 1) (+.f64 1 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 y 4) 1/36))) 1) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 y (*.f64 1/6 y))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 y 4) 1/36))) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 y (*.f64 1/6 y))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 y 4) 1/36))) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 1/6 (*.f64 y y))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (pow.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (-.f64 1 (*.f64 1/6 (*.f64 y y))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x)) 3)) 1) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x)) (-.f64 (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x)) (sin.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 y (*.f64 (*.f64 1/6 y) (sin.f64 x))) 3)) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 y (*.f64 1/6 y)) (*.f64 (sin.f64 x) (-.f64 (*.f64 y (*.f64 (*.f64 1/6 y) (sin.f64 x))) (sin.f64 x)))))) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3)) (pow.f64 (sin.f64 x) 3)) (fma.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 (sin.f64 x) (-.f64 (*.f64 (sin.f64 x) (*.f64 1/6 (*.f64 y y))) (sin.f64 x))) (pow.f64 (sin.f64 x) 2))) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3)) (/.f64 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 (sin.f64 x) (fma.f64 y (*.f64 1/6 y) -1))))) (pow.f64 (sin.f64 x) 3))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3))) (*.f64 (sin.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))))) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) -1/6))))) |
(/.f64 (*.f64 (sin.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (/.f64 (sqrt.f64 (+.f64 1 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) 1/36 -1/6)))) (sqrt.f64 (+.f64 1 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3))))) |
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3/2)) (sqrt.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/36) -1/6) 1))) (*.f64 (sin.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))))) |
(*.f64 (*.f64 (sin.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (/.f64 (hypot.f64 1 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3/2)) (sqrt.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/36) -1/6) 1)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))) (*.f64 (sin.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))))) (sqrt.f64 (-.f64 1 (*.f64 y (*.f64 1/6 y))))) |
(/.f64 (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 y (*.f64 1/6 y)))) (*.f64 (sin.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) (sqrt.f64 (-.f64 1 (*.f64 1/6 (*.f64 y y))))) (sqrt.f64 (fma.f64 (pow.f64 y 4) -1/36 1))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 1/6 (*.f64 y y)))) (sqrt.f64 (fma.f64 (pow.f64 y 4) -1/36 1)))) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))) 1) (-.f64 1 (*.f64 y (*.f64 1/6 y)))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)) (-.f64 1 (*.f64 y (*.f64 1/6 y)))) (sin.f64 x)) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (*.f64 1/6 (*.f64 y y))) (fma.f64 (pow.f64 y 4) -1/36 1))) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (pow.f64 y 4) -1/36 1)) (-.f64 1 (*.f64 1/6 (*.f64 y y)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))) (sqrt.f64 (-.f64 1 (*.f64 y (*.f64 1/6 y))))) (sqrt.f64 (-.f64 1 (*.f64 y (*.f64 1/6 y))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)) (-.f64 1 (*.f64 y (*.f64 1/6 y)))) (sin.f64 x)) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (*.f64 1/6 (*.f64 y y))) (fma.f64 (pow.f64 y 4) -1/36 1))) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (pow.f64 y 4) -1/36 1)) (-.f64 1 (*.f64 1/6 (*.f64 y y)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 1 (*.f64 (pow.f64 y 4) -1/36))) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 y (*.f64 1/6 y)))) (cbrt.f64 (-.f64 1 (*.f64 y (*.f64 1/6 y)))))) (cbrt.f64 (-.f64 1 (*.f64 y (*.f64 1/6 y))))) |
(*.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)) (-.f64 1 (*.f64 y (*.f64 1/6 y)))) (sin.f64 x)) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (*.f64 1/6 (*.f64 y y))) (fma.f64 (pow.f64 y 4) -1/36 1))) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (pow.f64 y 4) -1/36 1)) (-.f64 1 (*.f64 1/6 (*.f64 y y)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 1 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3))) 1) (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) -1/6)))) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3)) (/.f64 (+.f64 1 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) 1/36 -1/6))) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/36) -1/6) 1))) |
(/.f64 (sin.f64 x) (/.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/36) -1/6) 1) (+.f64 1 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 1 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3))) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) -1/6))))) (sqrt.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) -1/6))))) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3)) (/.f64 (+.f64 1 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) 1/36 -1/6))) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/36) -1/6) 1))) |
(/.f64 (sin.f64 x) (/.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/36) -1/6) 1) (+.f64 1 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 1 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3))) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) -1/6)))) (cbrt.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) -1/6)))))) (cbrt.f64 (+.f64 1 (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) 1/36) -1/6))))) |
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (*.f64 1/6 y)) 3)) (/.f64 (+.f64 1 (*.f64 (*.f64 y y) (fma.f64 (*.f64 y y) 1/36 -1/6))) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (+.f64 1 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/36) -1/6) 1))) |
(/.f64 (sin.f64 x) (/.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/36) -1/6) 1) (+.f64 1 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3)))) |
(pow.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1)) 1) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1))) 2) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1))) 3) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1)) 3) 1/3) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1)) 2)) |
(fabs.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1))) |
(log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 1/6 y) y 1)) (sin.f64 x))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1))))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1)) 3)) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 1/6 y) y 1) 3) (pow.f64 (sin.f64 x) 3))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1)))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1)))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1)))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 (sin.f64 x) 1 (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1 (sin.f64 x) (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (*.f64 (*.f64 y (*.f64 1/6 y)) (sin.f64 x))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sin.f64 x) | |
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.1b | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| ✓ | 13.0b | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) |
Compiled 20 to 6 computations (70% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| 0.0ms | x | @ | 0 | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| 0.0ms | y | @ | inf | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) |
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) |
| 1× | batch-egg-rewrite |
| 1272× | associate-/r* |
| 1172× | associate-/l* |
| 1048× | associate-*r/ |
| 944× | *-commutative |
| 740× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 186 | 36 |
| 2 | 2489 | 36 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) |
(*.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) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))))) (#(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))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))))) (#(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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expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))))))) |
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| 1× | egg-herbie |
| 1342× | associate-/r* |
| 1238× | associate-/r/ |
| 770× | distribute-rgt-in |
| 770× | distribute-lft-in |
| 414× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 310 | 4996 |
| 1 | 803 | 4842 |
| 2 | 3106 | 4738 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.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) y)))) 1) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (pow.f64 y -1)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) y)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) y)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) 2)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) |
(*.f64 (pow.f64 y -1) (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (/.f64 -1 y)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) y) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) y) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 1)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) y) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) y) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) 1)) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y))) (/.f64 1 (sqrt.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 x) (/.f64 (sqrt.f64 y) (sinh.f64 y)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 y) (sinh.f64 y)))) |
(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) y) (/.f64 (sin.f64 x) 1)) |
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (/.f64 (sin.f64 x) (sqrt.f64 y))) |
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 y)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 y) (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 (/.f64 -1 y) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y))) |
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 x) (cbrt.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 y)) (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 y) 2))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) y)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (pow.f64 (cbrt.f64 y) 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))) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 y (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y (sinh.f64 y))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) y) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 y (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 1 (/.f64 y (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 y (sinh.f64 y))) (cbrt.f64 (sin.f64 x))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) 3) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 3) 1/3) |
(pow.f64 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)) -1) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 y) (sinh.f64 y)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) y)) |
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 y) (sinh.f64 y))) 1)) |
(neg.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 -1 y))) |
(neg.f64 (*.f64 1 (/.f64 (sin.f64 x) (/.f64 (neg.f64 y) (sinh.f64 y))))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 2)) |
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) |
(-.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) (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 (sinh.f64 y) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x)))) |
(/.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 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(*.f64 1/2 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x)) |
(*.f64 (/.f64 1/2 y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))) |
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))) |
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 3) -1/12)) y)) |
(fma.f64 1/2 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (*.f64 (/.f64 -1/12 y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))) |
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))))) |
(fma.f64 -1/12 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (*.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5)))))) |
(fma.f64 -1/12 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 1/240 (*.f64 (/.f64 (pow.f64 x 5) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (/.f64 1/2 y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))) |
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 -1/10080 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 7))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))))) |
(fma.f64 -1/12 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 -1/10080 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 7))) (fma.f64 1/2 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (*.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))))))) |
(fma.f64 -1/12 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 -1/10080 (*.f64 (/.f64 (pow.f64 x 7) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 1/240 (*.f64 (/.f64 (pow.f64 x 5) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (/.f64 1/2 y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) y)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 1/2 y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) y)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 1/2 y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
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(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (*.f64 (sinh.f64 y) (cbrt.f64 (sin.f64 x))))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 1 (*.f64 (sin.f64 x) (cbrt.f64 (sinh.f64 y))))) |
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (sinh.f64 y)) (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(*.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (sinh.f64 y) 2) (/.f64 2 (sin.f64 x))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) (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 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (*.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2)) 2) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 -2 (sinh.f64 y))) -2) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (*.f64 1 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) 2))) 2) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (*.f64 (sinh.f64 y) 2))) (sqrt.f64 2)) |
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (sinh.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (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 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (cbrt.f64 2)) (*.f64 (sin.f64 x) (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 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (sinh.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (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 (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 19706 to 8564 computations (56.5% saved)
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1127 | 6 | 1133 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 2 | 4 |
| Total | 1131 | 8 | 1139 |
| Status | Error | Program |
|---|---|---|
| ▶ | 14.2b | (/.f64 (/.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))) y) |
| ▶ | 46.5b | (/.f64 (*.f64 x (sinh.f64 y)) y) |
| ▶ | 0.5b | (/.f64 1 (/.f64 (+.f64 1 (*.f64 (*.f64 y y) -1/6)) (sin.f64 x))) |
| ▶ | 0.8b | (/.f64 1 (/.f64 1 (sin.f64 x))) |
| ▶ | 34.0b | (*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) x) |
| ✓ | 0.3b | (*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
| ✓ | 0.6b | (sin.f64 x) |
| 34.2b | x |
Compiled 127 to 96 computations (24.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sin.f64 x) | |
| ✓ | 0.1b | (/.f64 (+.f64 1 (*.f64 (*.f64 y y) -1/6)) (sin.f64 x)) |
| ✓ | 0.2b | (*.f64 (*.f64 y y) -1/6) |
| ✓ | 0.2b | (/.f64 1 (/.f64 (+.f64 1 (*.f64 (*.f64 y y) -1/6)) (sin.f64 x))) |
Compiled 45 to 24 computations (46.7% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 1 (*.f64 (*.f64 y y) -1/6)) (sin.f64 x)) |
| 1.0ms | x | @ | inf | (/.f64 1 (/.f64 (+.f64 1 (*.f64 (*.f64 y y) -1/6)) (sin.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 (+.f64 1 (*.f64 (*.f64 y y) -1/6)) (sin.f64 x))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (/.f64 (+.f64 1 (*.f64 (*.f64 y y) -1/6)) (sin.f64 x))) |
| 0.0ms | y | @ | inf | (/.f64 1 (/.f64 (+.f64 1 (*.f64 (*.f64 y y) -1/6)) (sin.f64 x))) |
| 1× | batch-egg-rewrite |
| 1652× | associate-*r/ |
| 1394× | associate-*l/ |
| 1166× | associate-/r* |
| 762× | associate-/l* |
| 278× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 77 |
| 1 | 275 | 63 |
| 2 | 3534 | 63 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (*.f64 y y) -1/6)) (sin.f64 x))) |
(*.f64 (*.f64 y y) -1/6) |
(/.f64 (+.f64 1 (*.f64 (*.f64 y y) -1/6)) (sin.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1))) (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1))) 2) (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1)) (pow.f64 (/.f64 1 (sin.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 (sin.f64 x)) (fma.f64 y (*.f64 y -1/6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 y (*.f64 y -1/6) 1)) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (fma.f64 y (*.f64 y -1/6) 1)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))) (/.f64 (sin.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 y (*.f64 y -1/6) 1)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (-.f64 1 (*.f64 (pow.f64 y 4) 1/36))) (+.f64 1 (*.f64 1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/216))) (+.f64 (+.f64 1 (*.f64 (pow.f64 y 4) 1/36)) (*.f64 1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 y (*.f64 y -1/6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (fma.f64 y (*.f64 y -1/6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))) (/.f64 (cbrt.f64 (sin.f64 x)) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) 2)) (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (sin.f64 x)) (log1p.f64 (*.f64 y (*.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 y (*.f64 y -1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 y -1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 y (*.f64 y -1/6) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 y -1/6) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 1/6 (*.f64 y y)))) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 y -1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 y y) 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) y) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y y) 3) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 y -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 y -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y -1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 y -1/6)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (*.f64 y -1/6) 1) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (*.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) (sqrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (fma.f64 y (*.f64 y -1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 y (*.f64 y -1/6) 1)) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) 1) (/.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)))))))) |
| 1× | egg-herbie |
| 1364× | distribute-lft-in |
| 1348× | associate-/l* |
| 1332× | associate-/r* |
| 1240× | distribute-rgt-in |
| 452× | associate-+r+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 302 | 4706 |
| 1 | 824 | 4532 |
| 2 | 3094 | 4532 |
| 1× | node limit |
| Inputs |
|---|
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (sin.f64 x) (+.f64 (*.f64 1/36 (*.f64 (pow.f64 y 4) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))) |
(+.f64 (sin.f64 x) (+.f64 (*.f64 1/216 (*.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (*.f64 1/36 (*.f64 (pow.f64 y 4) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))) |
(*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))) |
(+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))) |
(+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))))) |
(+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (+.f64 (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))) (*.f64 -1296 (/.f64 (sin.f64 x) (pow.f64 y 8)))))) |
(*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))) |
(+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))) |
(+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))))) |
(+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (+.f64 (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))) (*.f64 -1296 (/.f64 (sin.f64 x) (pow.f64 y 8)))))) |
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))) (/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))) |
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))) (/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))) |
(+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 x 7) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))) (/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))))) |
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) |
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) |
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) |
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) |
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) |
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) |
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) |
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(/.f64 1 (sin.f64 x)) |
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x)))) |
(*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) |
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x)))) |
(*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))) |
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x)))) |
(/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x) |
(+.f64 (*.f64 1/6 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) (*.f64 -1/36 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))) (pow.f64 x 3))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) (*.f64 -1/36 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))) (pow.f64 x 3))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) x)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (+.f64 (/.f64 1 x) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/720 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) (+.f64 (*.f64 -1/5040 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) (*.f64 1/6 (+.f64 (*.f64 1/120 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) (*.f64 -1/36 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))))) (pow.f64 x 5))))))) |
(/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (sin.f64 x)) |
(/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (sin.f64 x)) |
(/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (sin.f64 x)) |
(/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (sin.f64 x)) |
(/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (sin.f64 x)) |
(/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (sin.f64 x)) |
(/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (sin.f64 x)) |
(/.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) (sin.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)))) 1) |
(*.f64 1 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1))) |
(*.f64 (sin.f64 x) (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1))) |
(*.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)) 1) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1))) (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1))) 2) (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)))) |
(*.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1)) (sin.f64 x)) |
(*.f64 (/.f64 1 (fma.f64 y (*.f64 y -1/6) 1)) (pow.f64 (/.f64 1 (sin.f64 x)) -1)) |
(*.f64 -1 (/.f64 (neg.f64 (sin.f64 x)) (fma.f64 y (*.f64 y -1/6) 1))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 y (*.f64 y -1/6) 1)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (fma.f64 y (*.f64 y -1/6) 1)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))) (/.f64 (sin.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)))) |
(*.f64 (/.f64 -1 (fma.f64 y (*.f64 y -1/6) 1)) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (*.f64 (pow.f64 y 4) 1/36))) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) -1/216))) (+.f64 (+.f64 1 (*.f64 (pow.f64 y 4) 1/36)) (*.f64 1/6 (*.f64 y y)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 y (*.f64 y -1/6) 1))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (fma.f64 y (*.f64 y -1/6) 1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))) (/.f64 (cbrt.f64 (sin.f64 x)) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) 2)) (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) -1)) |
(pow.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) -1) |
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1))) 3) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) -2)) |
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1))))) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)))) |
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)))) |
(exp.f64 (-.f64 (log.f64 (sin.f64 x)) (log1p.f64 (*.f64 y (*.f64 y -1/6))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) -1)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)))) |
(+.f64 1 (-.f64 (*.f64 y (*.f64 y -1/6)) 1)) |
(+.f64 (*.f64 y (*.f64 y -1/6)) 0) |
(-.f64 (fma.f64 y (*.f64 y -1/6) 1) 1) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 y -1/6) 1))) 2) |
(-.f64 (/.f64 1 (+.f64 1 (*.f64 1/6 (*.f64 y y)))) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) 1)) |
(pow.f64 (*.f64 y (*.f64 y -1/6)) 1) |
(pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 y -1/6))) 3) |
(pow.f64 (*.f64 (pow.f64 (*.f64 y y) 3) -1/216) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/36)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) y) -1/6)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y -1/6))))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y y) 3) -1/216)) |
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 y -1/6)))) |
(exp.f64 (log.f64 (*.f64 y (*.f64 y -1/6)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y -1/6))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 y -1/6)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)))) 1) |
(*.f64 1 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) |
(*.f64 (fma.f64 y (*.f64 y -1/6) 1) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) 1) |
(*.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (*.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (/.f64 1 (sin.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) (sqrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) (/.f64 1 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) (fma.f64 y (*.f64 y -1/6) 1)) |
(*.f64 (neg.f64 (fma.f64 y (*.f64 y -1/6) 1)) (/.f64 -1 (sin.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) 1) (/.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (sin.f64 x))) |
(*.f64 (/.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)))) |
(pow.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) 1) |
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)) -1) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) 3) 1/3) |
(neg.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (neg.f64 (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)))) |
(exp.f64 (log.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)))) |
| Outputs |
|---|
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (sin.f64 x) (*.f64 y y)))) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 1/6 y) y 1)) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) |
(+.f64 (sin.f64 x) (+.f64 (*.f64 1/36 (*.f64 (pow.f64 y 4) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))) |
(+.f64 (sin.f64 x) (fma.f64 1/36 (*.f64 (sin.f64 x) (pow.f64 y 4)) (*.f64 1/6 (*.f64 (sin.f64 x) (*.f64 y y))))) |
(*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) (fma.f64 1/36 (pow.f64 y 4) 1))) |
(+.f64 (sin.f64 x) (+.f64 (*.f64 1/216 (*.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (*.f64 1/36 (*.f64 (pow.f64 y 4) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))) |
(+.f64 (sin.f64 x) (fma.f64 1/216 (*.f64 (sin.f64 x) (pow.f64 y 6)) (fma.f64 1/36 (*.f64 (sin.f64 x) (pow.f64 y 4)) (*.f64 1/6 (*.f64 (sin.f64 x) (*.f64 y y)))))) |
(+.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) (fma.f64 1/36 (pow.f64 y 4) 1))) (*.f64 (sin.f64 x) (*.f64 1/216 (pow.f64 y 6)))) |
(+.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) (fma.f64 1/36 (pow.f64 y 4) 1))) (*.f64 (pow.f64 y 6) (*.f64 (sin.f64 x) 1/216))) |
(*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))) |
(*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y y))) |
(*.f64 (/.f64 -6 y) (/.f64 (sin.f64 x) y)) |
(+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))) |
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y y)))) |
(fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y y)) (*.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)))) |
(fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y y)) (/.f64 (*.f64 (sin.f64 x) -36) (pow.f64 y 4))) |
(+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))))) |
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y y))))) |
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y y)) (*.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))))) |
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y y)) (*.f64 (/.f64 -216 (pow.f64 y 6)) (sin.f64 x)))) |
(+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (+.f64 (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))) (*.f64 -1296 (/.f64 (sin.f64 x) (pow.f64 y 8)))))) |
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)) (fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y y)) (*.f64 -1296 (/.f64 (sin.f64 x) (pow.f64 y 8)))))) |
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)) (fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y y)) (/.f64 (sin.f64 x) (/.f64 (pow.f64 y 8) -1296))))) |
(*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))) |
(*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y y))) |
(*.f64 (/.f64 -6 y) (/.f64 (sin.f64 x) y)) |
(+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))) |
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y y)))) |
(fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y y)) (*.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)))) |
(fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y y)) (/.f64 (*.f64 (sin.f64 x) -36) (pow.f64 y 4))) |
(+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))))) |
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y y))))) |
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y y)) (*.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))))) |
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y y)) (*.f64 (/.f64 -216 (pow.f64 y 6)) (sin.f64 x)))) |
(+.f64 (*.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (*.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (+.f64 (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))) (*.f64 -1296 (/.f64 (sin.f64 x) (pow.f64 y 8)))))) |
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)) (fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y y)) (*.f64 -1296 (/.f64 (sin.f64 x) (pow.f64 y 8)))))) |
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)) (fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y y)) (/.f64 (sin.f64 x) (/.f64 (pow.f64 y 8) -1296))))) |
(/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) |
(/.f64 x (fma.f64 y (*.f64 y -1/6) 1)) |
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))) (/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))) |
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) (fma.f64 y (*.f64 y -1/6) 1)) (/.f64 x (fma.f64 y (*.f64 y -1/6) 1))) |
(+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))) (/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))) |
(fma.f64 1/120 (/.f64 (pow.f64 x 5) (fma.f64 y (*.f64 y -1/6) 1)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (fma.f64 y (*.f64 y -1/6) 1)) (/.f64 x (fma.f64 y (*.f64 y -1/6) 1)))) |
(+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 x 7) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 5) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))) (/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))))) |
(fma.f64 -1/5040 (/.f64 (pow.f64 x 7) (fma.f64 y (*.f64 y -1/6) 1)) (fma.f64 1/120 (/.f64 (pow.f64 x 5) (fma.f64 y (*.f64 y -1/6) 1)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (fma.f64 y (*.f64 y -1/6) 1)) (/.f64 x (fma.f64 y (*.f64 y -1/6) 1))))) |
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) |
(/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)) |
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) |
(/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)) |
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) |
(/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)) |
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) |
(/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)) |
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) |
(/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)) |
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) |
(/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)) |
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) |
(/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)) |
(/.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))) |
(/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 y (*.f64 y -1/6)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 y (*.f64 y -1/6)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 y (*.f64 y -1/6)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 y (*.f64 y -1/6)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 y (*.f64 y -1/6)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 y (*.f64 y -1/6)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 y (*.f64 y -1/6)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 y (*.f64 y -1/6)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 y (*.f64 y -1/6)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 y (*.f64 y -1/6)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 y (*.f64 y -1/6)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 y (*.f64 y -1/6)) |
(/.f64 1 (sin.f64 x)) |
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/6 (/.f64 (*.f64 y y) (sin.f64 x)))) |
(fma.f64 -1/6 (/.f64 (*.f64 y y) (sin.f64 x)) (/.f64 1 (sin.f64 x))) |
(fma.f64 -1/6 (*.f64 (/.f64 y (sin.f64 x)) y) (/.f64 1 (sin.f64 x))) |
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/6 (/.f64 (*.f64 y y) (sin.f64 x)))) |
(fma.f64 -1/6 (/.f64 (*.f64 y y) (sin.f64 x)) (/.f64 1 (sin.f64 x))) |
(fma.f64 -1/6 (*.f64 (/.f64 y (sin.f64 x)) y) (/.f64 1 (sin.f64 x))) |
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/6 (/.f64 (*.f64 y y) (sin.f64 x)))) |
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(+.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 y -1/6) 1))) -2) |
(+.f64 -2 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 y -1/6) 1)))) |
(-.f64 (/.f64 1 (+.f64 1 (*.f64 1/6 (*.f64 y y)))) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) 1)) |
(-.f64 (/.f64 1 (+.f64 1 (*.f64 1/6 (*.f64 y y)))) (+.f64 1 (/.f64 (pow.f64 y 4) (/.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) 1/36)))) |
(+.f64 (-.f64 (/.f64 1 (fma.f64 (*.f64 1/6 y) y 1)) (*.f64 (/.f64 (pow.f64 y 4) (fma.f64 (*.f64 1/6 y) y 1)) 1/36)) -1) |
(-.f64 (-.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) 1)) 1) (*.f64 (/.f64 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)) 1/36)) |
(pow.f64 (*.f64 y (*.f64 y -1/6)) 1) |
(*.f64 y (*.f64 y -1/6)) |
(pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 y -1/6))) 3) |
(*.f64 y (*.f64 y -1/6)) |
(pow.f64 (*.f64 (pow.f64 (*.f64 y y) 3) -1/216) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 y 6) -1/216)) |
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/36)) |
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) y) -1/6)) |
(*.f64 -1/6 (log.f64 (pow.f64 (exp.f64 y) y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y -1/6))))) |
(*.f64 y (*.f64 y -1/6)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y y) 3) -1/216)) |
(cbrt.f64 (*.f64 (pow.f64 y 6) -1/216)) |
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 y -1/6)))) |
(*.f64 y (*.f64 y -1/6)) |
(exp.f64 (log.f64 (*.f64 y (*.f64 y -1/6)))) |
(*.f64 y (*.f64 y -1/6)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y -1/6))) 1)) |
(*.f64 y (*.f64 y -1/6)) |
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 y -1/6)))) |
(*.f64 y (*.f64 y -1/6)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)))) 1) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(*.f64 1 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(*.f64 (fma.f64 y (*.f64 y -1/6) 1) (/.f64 1 (sin.f64 x))) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) 1) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(*.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (*.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (/.f64 1 (sin.f64 x)))) |
(*.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (*.f64 (/.f64 1 (sin.f64 x)) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))))) |
(*.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (/.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (sin.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) (sqrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)))) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) (/.f64 1 (sin.f64 x)))) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) 2)) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)))) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(*.f64 (/.f64 1 (sin.f64 x)) (fma.f64 y (*.f64 y -1/6) 1)) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(*.f64 (neg.f64 (fma.f64 y (*.f64 y -1/6) 1)) (/.f64 -1 (sin.f64 x))) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (cbrt.f64 (sin.f64 x)))) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(*.f64 (/.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) 1) (/.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (sin.f64 x))) |
(*.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (*.f64 (/.f64 1 (sin.f64 x)) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))))) |
(*.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (/.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (sin.f64 x))) |
(*.f64 (/.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (*.f64 (/.f64 1 (sin.f64 x)) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))))) |
(*.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (/.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) (sin.f64 x))) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) (sqrt.f64 (sin.f64 x)))) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(/.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)) 2))) |
(pow.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) 1) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 y (*.f64 y -1/6) 1)) -1) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) 2) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) 3) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) 3) 1/3) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(neg.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (neg.f64 (sin.f64 x)))) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) 2)) |
(fabs.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) |
(log.f64 (exp.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)))) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))))) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) 3)) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)))) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(exp.f64 (log.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)))) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x))) 1)) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)))) |
(/.f64 (fma.f64 y (*.f64 y -1/6) 1) (sin.f64 x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) x) |
| 0.2b | (*.f64 1/6 (*.f64 y y)) |
Compiled 30 to 16 computations (46.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) x) |
| 0.0ms | x | @ | 0 | (*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) x) |
| 0.0ms | y | @ | 0 | (*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) x) |
| 0.0ms | x | @ | -inf | (*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) x) |
| 0.0ms | y | @ | inf | (*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) x) |
| 1× | batch-egg-rewrite |
| 1940× | add-sqr-sqrt |
| 1914× | *-un-lft-identity |
| 1786× | add-cube-cbrt |
| 1768× | add-cbrt-cube |
| 198× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 207 | 21 |
| 2 | 2510 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (*.f64 1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 1/6 (*.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 1/6 (*.f64 y y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 y 4) 1/36) -1)) (fma.f64 1/6 (*.f64 y y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216))) (+.f64 (*.f64 (pow.f64 y 4) 1/36) (-.f64 1 (*.f64 1/6 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 4) 1/36) -1) x) (fma.f64 1/6 (*.f64 y y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)) x) (+.f64 (*.f64 (pow.f64 y 4) 1/36) (-.f64 1 (*.f64 1/6 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 1/6 (*.f64 y y) 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x))))))) |
| 1× | egg-herbie |
| 1756× | fma-def |
| 992× | associate-*r* |
| 894× | associate-*l* |
| 626× | associate-+l- |
| 624× | associate-+r- |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 1057 |
| 1 | 187 | 1037 |
| 2 | 558 | 1029 |
| 3 | 3167 | 1029 |
| 4 | 7194 | 1029 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(+.f64 x (*.f64 x (*.f64 1/6 (*.f64 y y)))) |
(+.f64 x (*.f64 (*.f64 1/6 (*.f64 y y)) x)) |
(+.f64 (*.f64 x (*.f64 1/6 (*.f64 y y))) x) |
(+.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) x) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x))) 1) |
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 y 4) 1/36) -1)) (fma.f64 1/6 (*.f64 y y) -1)) |
(/.f64 (*.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216))) (+.f64 (*.f64 (pow.f64 y 4) 1/36) (-.f64 1 (*.f64 1/6 (*.f64 y y))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 4) 1/36) -1) x) (fma.f64 1/6 (*.f64 y y) -1)) |
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)) x) (+.f64 (*.f64 (pow.f64 y 4) 1/36) (-.f64 1 (*.f64 1/6 (*.f64 y y))))) |
(pow.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x) 1) |
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x)) 3) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x) 2)) |
(log.f64 (pow.f64 (exp.f64 (fma.f64 1/6 (*.f64 y y) 1)) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x)))) |
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x))) |
(exp.f64 (log.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 x (*.f64 (*.f64 1/6 y) y)) |
(*.f64 x (*.f64 1/6 (*.f64 y y))) |
(*.f64 1/6 (*.f64 y (*.f64 x y))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 x (*.f64 (*.f64 1/6 y) y)) |
(*.f64 x (*.f64 1/6 (*.f64 y y))) |
(*.f64 1/6 (*.f64 y (*.f64 x y))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(*.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) x) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(+.f64 x (*.f64 x (*.f64 1/6 (*.f64 y y)))) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(+.f64 x (*.f64 (*.f64 1/6 (*.f64 y y)) x)) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(+.f64 (*.f64 x (*.f64 1/6 (*.f64 y y))) x) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(+.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) x) x) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x))) 1) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(/.f64 (*.f64 x (+.f64 (*.f64 (pow.f64 y 4) 1/36) -1)) (fma.f64 1/6 (*.f64 y y) -1)) |
(/.f64 x (/.f64 (fma.f64 1/6 (*.f64 y y) -1) (fma.f64 (pow.f64 y 4) 1/36 -1))) |
(*.f64 (/.f64 x (fma.f64 1/6 (*.f64 y y) -1)) (fma.f64 (pow.f64 y 4) 1/36 -1)) |
(*.f64 (fma.f64 (pow.f64 y 4) 1/36 -1) (/.f64 x (fma.f64 1/6 (*.f64 y y) -1))) |
(/.f64 (*.f64 x (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216))) (+.f64 (*.f64 (pow.f64 y 4) 1/36) (-.f64 1 (*.f64 1/6 (*.f64 y y))))) |
(/.f64 x (/.f64 (fma.f64 (pow.f64 y 4) 1/36 (-.f64 1 (*.f64 (*.f64 1/6 y) y))) (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)))) |
(*.f64 (/.f64 x (+.f64 (fma.f64 (pow.f64 y 4) 1/36 1) (*.f64 (*.f64 y y) -1/6))) (fma.f64 (pow.f64 y 6) 1/216 1)) |
(*.f64 (fma.f64 (pow.f64 y 6) 1/216 1) (/.f64 x (fma.f64 (pow.f64 y 4) 1/36 (fma.f64 (*.f64 y y) -1/6 1)))) |
(*.f64 (fma.f64 (pow.f64 y 6) 1/216 1) (/.f64 x (fma.f64 y (*.f64 y -1/6) (fma.f64 (pow.f64 y 4) 1/36 1)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 4) 1/36) -1) x) (fma.f64 1/6 (*.f64 y y) -1)) |
(/.f64 x (/.f64 (fma.f64 1/6 (*.f64 y y) -1) (fma.f64 (pow.f64 y 4) 1/36 -1))) |
(*.f64 (/.f64 x (fma.f64 1/6 (*.f64 y y) -1)) (fma.f64 (pow.f64 y 4) 1/36 -1)) |
(*.f64 (fma.f64 (pow.f64 y 4) 1/36 -1) (/.f64 x (fma.f64 1/6 (*.f64 y y) -1))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)) x) (+.f64 (*.f64 (pow.f64 y 4) 1/36) (-.f64 1 (*.f64 1/6 (*.f64 y y))))) |
(/.f64 x (/.f64 (fma.f64 (pow.f64 y 4) 1/36 (-.f64 1 (*.f64 (*.f64 1/6 y) y))) (+.f64 1 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216)))) |
(*.f64 (/.f64 x (+.f64 (fma.f64 (pow.f64 y 4) 1/36 1) (*.f64 (*.f64 y y) -1/6))) (fma.f64 (pow.f64 y 6) 1/216 1)) |
(*.f64 (fma.f64 (pow.f64 y 6) 1/216 1) (/.f64 x (fma.f64 (pow.f64 y 4) 1/36 (fma.f64 (*.f64 y y) -1/6 1)))) |
(*.f64 (fma.f64 (pow.f64 y 6) 1/216 1) (/.f64 x (fma.f64 y (*.f64 y -1/6) (fma.f64 (pow.f64 y 4) 1/36 1)))) |
(pow.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x) 1) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x)) 2) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x)) 3) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x) 3) 1/3) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x) 2)) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(log.f64 (pow.f64 (exp.f64 (fma.f64 1/6 (*.f64 y y) 1)) x)) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x)))) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x) 3)) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x))) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(exp.f64 (log.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x))) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x)) 1)) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 1/6 (*.f64 y y) 1) x))) |
(fma.f64 x (*.f64 (*.f64 1/6 y) y) x) |
(fma.f64 1/6 (*.f64 (*.f64 x y) y) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(fma.f64 1/6 (*.f64 y (*.f64 x y)) x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sin.f64 x) | |
| ✓ | 0.1b | (/.f64 1 (sin.f64 x)) |
| ✓ | 0.2b | (/.f64 1 (/.f64 1 (sin.f64 x))) |
Compiled 16 to 10 computations (37.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 1 (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 1 (sin.f64 x))) |
| 0.0ms | x | @ | inf | (/.f64 1 (/.f64 1 (sin.f64 x))) |
| 1× | batch-egg-rewrite |
| 1252× | add-sqr-sqrt |
| 1236× | *-un-lft-identity |
| 1146× | add-cube-cbrt |
| 1134× | add-cbrt-cube |
| 1120× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 162 | 16 |
| 2 | 1648 | 16 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 1 (sin.f64 x))) |
(/.f64 1 (sin.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 x) -1/2) -1) (pow.f64 (pow.f64 (sin.f64 x) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 x)))))))) |
| 1× | egg-herbie |
| 894× | distribute-rgt-in |
| 886× | unswap-sqr |
| 858× | distribute-lft-in |
| 634× | distribute-lft-neg-in |
| 538× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 853 |
| 1 | 263 | 745 |
| 2 | 1141 | 631 |
| 3 | 4646 | 631 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(/.f64 1 x) |
(+.f64 (*.f64 1/6 x) (/.f64 1 x)) |
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))) |
(-.f64 (+.f64 1 (sin.f64 x)) 1) |
(*.f64 1 (sin.f64 x)) |
(*.f64 (sin.f64 x) 1) |
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x))) |
(*.f64 -1 (neg.f64 (sin.f64 x))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) -1/2) -1) (pow.f64 (pow.f64 (sin.f64 x) -1/2) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) -1)) |
(pow.f64 (sin.f64 x) 1) |
(pow.f64 (/.f64 1 (sin.f64 x)) -1) |
(pow.f64 (sqrt.f64 (sin.f64 x)) 2) |
(pow.f64 (cbrt.f64 (sin.f64 x)) 3) |
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3) |
(sqrt.f64 (pow.f64 (sin.f64 x) 2)) |
(log.f64 (exp.f64 (sin.f64 x))) |
(cbrt.f64 (pow.f64 (sin.f64 x) 3)) |
(sin.f64 x) |
(expm1.f64 (log1p.f64 (sin.f64 x))) |
(exp.f64 (log.f64 (sin.f64 x))) |
(log1p.f64 (expm1.f64 (sin.f64 x))) |
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) 1) |
(*.f64 1 (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 1 (sin.f64 x)) 1) |
(*.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (/.f64 1 (sin.f64 x)))) |
(*.f64 -1 (/.f64 -1 (sin.f64 x))) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1)) |
(pow.f64 (sin.f64 x) -1) |
(pow.f64 (/.f64 1 (sin.f64 x)) 1) |
(pow.f64 (pow.f64 (sin.f64 x) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (sin.f64 x) -2)) |
(log.f64 (exp.f64 (/.f64 1 (sin.f64 x)))) |
(cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 x)))) |
(exp.f64 (neg.f64 (log.f64 (sin.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 x)))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 -1/5040 (pow.f64 x 7) x))) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(/.f64 1 x) |
(+.f64 (*.f64 1/6 x) (/.f64 1 x)) |
(fma.f64 1/6 x (/.f64 1 x)) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))) |
(fma.f64 1/6 x (fma.f64 7/360 (pow.f64 x 3) (/.f64 1 x))) |
(fma.f64 x 1/6 (fma.f64 (pow.f64 x 3) 7/360 (/.f64 1 x))) |
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))) |
(fma.f64 1/6 x (fma.f64 31/15120 (pow.f64 x 5) (fma.f64 7/360 (pow.f64 x 3) (/.f64 1 x)))) |
(fma.f64 x 1/6 (fma.f64 (pow.f64 x 5) 31/15120 (fma.f64 (pow.f64 x 3) 7/360 (/.f64 1 x)))) |
(fma.f64 x 1/6 (fma.f64 (pow.f64 x 3) 7/360 (fma.f64 (pow.f64 x 5) 31/15120 (/.f64 1 x)))) |
(-.f64 (+.f64 1 (sin.f64 x)) 1) |
(sin.f64 x) |
(*.f64 1 (sin.f64 x)) |
(sin.f64 x) |
(*.f64 (sin.f64 x) 1) |
(sin.f64 x) |
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) |
(sin.f64 x) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 -1 (neg.f64 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) -1/2) -1) (pow.f64 (pow.f64 (sin.f64 x) -1/2) -1)) |
(sin.f64 x) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (/.f64 1 (cbrt.f64 (/.f64 1 (sin.f64 x))))) |
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (cbrt.f64 (/.f64 1 (sin.f64 x)))) |
(pow.f64 (sin.f64 x) 1) |
(sin.f64 x) |
(pow.f64 (/.f64 1 (sin.f64 x)) -1) |
(sin.f64 x) |
(pow.f64 (sqrt.f64 (sin.f64 x)) 2) |
(sin.f64 x) |
(pow.f64 (cbrt.f64 (sin.f64 x)) 3) |
(sin.f64 x) |
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3) |
(sin.f64 x) |
(sqrt.f64 (pow.f64 (sin.f64 x) 2)) |
(sin.f64 x) |
(log.f64 (exp.f64 (sin.f64 x))) |
(sin.f64 x) |
(cbrt.f64 (pow.f64 (sin.f64 x) 3)) |
(sin.f64 x) |
(sin.f64 x) |
(expm1.f64 (log1p.f64 (sin.f64 x))) |
(sin.f64 x) |
(exp.f64 (log.f64 (sin.f64 x))) |
(sin.f64 x) |
(log1p.f64 (expm1.f64 (sin.f64 x))) |
(sin.f64 x) |
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) 1) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1)) |
(+.f64 (/.f64 1 (sin.f64 x)) 0) |
(/.f64 1 (sin.f64 x)) |
(*.f64 1 (/.f64 1 (sin.f64 x))) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1)) |
(+.f64 (/.f64 1 (sin.f64 x)) 0) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (/.f64 1 (sin.f64 x)) 1) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1)) |
(+.f64 (/.f64 1 (sin.f64 x)) 0) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2)) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1)) |
(+.f64 (/.f64 1 (sin.f64 x)) 0) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (/.f64 1 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (/.f64 1 (sin.f64 x)))) |
(*.f64 -1 (/.f64 -1 (sin.f64 x))) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1)) |
(+.f64 (/.f64 1 (sin.f64 x)) 0) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1)) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1)) |
(+.f64 (/.f64 1 (sin.f64 x)) 0) |
(/.f64 1 (sin.f64 x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1)) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1)) |
(+.f64 (/.f64 1 (sin.f64 x)) 0) |
(/.f64 1 (sin.f64 x)) |
(pow.f64 (sin.f64 x) -1) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1)) |
(+.f64 (/.f64 1 (sin.f64 x)) 0) |
(/.f64 1 (sin.f64 x)) |
(pow.f64 (/.f64 1 (sin.f64 x)) 1) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1)) |
(+.f64 (/.f64 1 (sin.f64 x)) 0) |
(/.f64 1 (sin.f64 x)) |
(pow.f64 (pow.f64 (sin.f64 x) -1/2) 2) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1)) |
(+.f64 (/.f64 1 (sin.f64 x)) 0) |
(/.f64 1 (sin.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) 3) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1)) |
(+.f64 (/.f64 1 (sin.f64 x)) 0) |
(/.f64 1 (sin.f64 x)) |
(pow.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) 1/3) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1)) |
(+.f64 (/.f64 1 (sin.f64 x)) 0) |
(/.f64 1 (sin.f64 x)) |
(sqrt.f64 (pow.f64 (sin.f64 x) -2)) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1)) |
(+.f64 (/.f64 1 (sin.f64 x)) 0) |
(/.f64 1 (sin.f64 x)) |
(log.f64 (exp.f64 (/.f64 1 (sin.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1)) |
(+.f64 (/.f64 1 (sin.f64 x)) 0) |
(/.f64 1 (sin.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3)) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1)) |
(+.f64 (/.f64 1 (sin.f64 x)) 0) |
(/.f64 1 (sin.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1)) |
(+.f64 (/.f64 1 (sin.f64 x)) 0) |
(/.f64 1 (sin.f64 x)) |
(exp.f64 (neg.f64 (log.f64 (sin.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1)) |
(+.f64 (/.f64 1 (sin.f64 x)) 0) |
(/.f64 1 (sin.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1)) |
(+.f64 (/.f64 1 (sin.f64 x)) 0) |
(/.f64 1 (sin.f64 x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) | |
| ✓ | 12.9b | (/.f64 (*.f64 x (sinh.f64 y)) y) |
Compiled 16 to 5 computations (68.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 x (sinh.f64 y)) y) |
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 x (sinh.f64 y)) y) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 x (sinh.f64 y)) y) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 x (sinh.f64 y)) y) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 x (sinh.f64 y)) y) |
| 1× | batch-egg-rewrite |
| 1872× | add-sqr-sqrt |
| 1858× | *-un-lft-identity |
| 1732× | add-cube-cbrt |
| 1704× | add-cbrt-cube |
| 174× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 167 | 17 |
| 2 | 2264 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (sinh.f64 y)) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (sinh.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (sinh.f64 y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 y (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sinh.f64 y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x y) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y))) (sqrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (sinh.f64 y))) (*.f64 (sqrt.f64 (*.f64 x (sinh.f64 y))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y))) 2) (cbrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (sinh.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 x (sinh.f64 y))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (neg.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 x (sinh.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (*.f64 x (sinh.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 (sinh.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (sinh.f64 y))) 1) (/.f64 (sqrt.f64 (*.f64 x (sinh.f64 y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (sinh.f64 y))) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (*.f64 x (sinh.f64 y))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sinh.f64 y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (sinh.f64 y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sinh.f64 y))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x (sinh.f64 y))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sinh.f64 y))) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) (sinh.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x (sinh.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (sinh.f64 y)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (sinh.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) (sinh.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (sinh.f64 y)))))))) |
| 1× | egg-herbie |
| 1392× | associate-+r+ |
| 1370× | associate-*r/ |
| 1250× | associate-+l+ |
| 878× | associate-*l/ |
| 832× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 2468 |
| 1 | 349 | 2444 |
| 2 | 1277 | 1292 |
| 3 | 6226 | 1292 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
x |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (sinh.f64 y)))) 1) |
(*.f64 x (*.f64 (sinh.f64 y) (/.f64 1 y))) |
(*.f64 x (/.f64 1 (/.f64 y (sinh.f64 y)))) |
(*.f64 (sinh.f64 y) (*.f64 x (/.f64 1 y))) |
(*.f64 (*.f64 x (sinh.f64 y)) (/.f64 1 y)) |
(*.f64 (*.f64 (/.f64 x y) (sinh.f64 y)) 1) |
(*.f64 1 (*.f64 (/.f64 x y) (sinh.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y))) (sqrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y)))) |
(*.f64 (sqrt.f64 (*.f64 x (sinh.f64 y))) (*.f64 (sqrt.f64 (*.f64 x (sinh.f64 y))) (/.f64 1 y))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y))) 2) (cbrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (sinh.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 x (sinh.f64 y))) (/.f64 1 y))) |
(*.f64 (/.f64 1 y) (*.f64 x (sinh.f64 y))) |
(*.f64 (*.f64 (sinh.f64 y) (neg.f64 x)) (/.f64 1 (neg.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 x (sinh.f64 y)) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (*.f64 x (sinh.f64 y)) (cbrt.f64 y))) |
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(*.f64 (/.f64 x y) (sinh.f64 y)) |
(*.f64 (/.f64 x 1) (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y))) |
(*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 (sinh.f64 y) (cbrt.f64 y))) |
(*.f64 (/.f64 (sinh.f64 y) 1) (/.f64 x y)) |
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (sinh.f64 y))) 1) (/.f64 (sqrt.f64 (*.f64 x (sinh.f64 y))) y)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (sinh.f64 y))) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (*.f64 x (sinh.f64 y))) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sinh.f64 y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (sinh.f64 y))) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sinh.f64 y))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x (sinh.f64 y))) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sinh.f64 y))) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y)))) |
(pow.f64 (*.f64 (/.f64 x y) (sinh.f64 y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) (sinh.f64 y)) 3) 1/3) |
(pow.f64 (/.f64 y (*.f64 x (sinh.f64 y))) -1) |
(neg.f64 (/.f64 (*.f64 x (sinh.f64 y)) (neg.f64 y))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (sinh.f64 y)) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 x y) (sinh.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (sinh.f64 y))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (sinh.f64 y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (sinh.f64 y)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 x y) (sinh.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) (sinh.f64 y))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (sinh.f64 y)))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
x |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) x) |
(fma.f64 1/6 (*.f64 x (*.f64 y y)) x) |
(fma.f64 1/6 (*.f64 y (*.f64 y x)) x) |
(*.f64 x (fma.f64 1/6 (*.f64 y y) 1)) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) x)) |
(fma.f64 1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x)) |
(fma.f64 1/6 (*.f64 y (*.f64 y x)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x)) |
(fma.f64 x (fma.f64 1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) x) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) x)) x))) |
(fma.f64 1/6 (*.f64 x (*.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 1/5040 (*.f64 x (pow.f64 y 6)) x))) |
(fma.f64 1/6 (*.f64 y (*.f64 y x)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) (fma.f64 1/5040 (*.f64 x (pow.f64 y 6)) x))) |
(fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6))) (*.f64 x (fma.f64 1/6 (*.f64 y y) 1))) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (sinh.f64 y)))) 1) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 x (*.f64 (sinh.f64 y) (/.f64 1 y))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 x (/.f64 1 (/.f64 y (sinh.f64 y)))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (*.f64 x (/.f64 1 y))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (*.f64 x (sinh.f64 y)) (/.f64 1 y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (*.f64 (/.f64 x y) (sinh.f64 y)) 1) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 1 (*.f64 (/.f64 x y) (sinh.f64 y))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y))) (sqrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y)))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sqrt.f64 (*.f64 x (sinh.f64 y))) (*.f64 (sqrt.f64 (*.f64 x (sinh.f64 y))) (/.f64 1 y))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y))) 2)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y))) 2) (cbrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y)))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (sinh.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 x (sinh.f64 y))) (/.f64 1 y))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 1 y) (*.f64 x (sinh.f64 y))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (*.f64 (sinh.f64 y) (neg.f64 x)) (/.f64 1 (neg.f64 y))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 x (sinh.f64 y)) (sqrt.f64 y))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (*.f64 x (sinh.f64 y)) (cbrt.f64 y))) |
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y))) |
(*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 (sinh.f64 y) (cbrt.f64 y))) |
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 x y) (sinh.f64 y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 x 1) (/.f64 (sinh.f64 y) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 (sinh.f64 y) (cbrt.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (*.f64 x (sinh.f64 y)) (cbrt.f64 y))) |
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y))) |
(*.f64 (/.f64 (sinh.f64 y) 1) (/.f64 x y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (*.f64 x (sinh.f64 y)) (cbrt.f64 y))) |
(*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 (sinh.f64 y) (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (sinh.f64 y))) 1) (/.f64 (sqrt.f64 (*.f64 x (sinh.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (sinh.f64 y))) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (*.f64 x (sinh.f64 y))) (cbrt.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (*.f64 x (sinh.f64 y)) (cbrt.f64 y))) |
(*.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 y y))) (/.f64 x (cbrt.f64 y))) |
(*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 (sinh.f64 y) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sinh.f64 y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (sinh.f64 y))) y)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sinh.f64 y))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x (sinh.f64 y))) (sqrt.f64 y))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sinh.f64 y))) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (sinh.f64 y) y))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sinh.f64 y))) 2) (cbrt.f64 (*.f64 y y)))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (sinh.f64 y))) 2) (/.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 (*.f64 x (/.f64 (sinh.f64 y) y))))) |
(pow.f64 (*.f64 (/.f64 x y) (sinh.f64 y)) 1) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y))) 2) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sinh.f64 y))) 3) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) (sinh.f64 y)) 3) 1/3) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(pow.f64 (/.f64 y (*.f64 x (sinh.f64 y))) -1) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(neg.f64 (/.f64 (*.f64 x (sinh.f64 y)) (neg.f64 y))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (sinh.f64 y)) 2)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(log.f64 (exp.f64 (*.f64 (/.f64 x y) (sinh.f64 y)))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) (sinh.f64 y))))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (sinh.f64 y)) 3)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (sinh.f64 y)))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(exp.f64 (log.f64 (*.f64 (/.f64 x y) (sinh.f64 y)))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) (sinh.f64 y))) 1)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (sinh.f64 y)))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 1/2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.2b | (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
| ✓ | 1.0b | (/.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))) |
| ✓ | 13.0b | (/.f64 (/.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))) y) |
Compiled 40 to 21 computations (47.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
| 0.0ms | y | @ | 0 | (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
| 1× | batch-egg-rewrite |
| 1082× | unswap-sqr |
| 1046× | associate-/r/ |
| 840× | swap-sqr |
| 676× | associate-/l/ |
| 490× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 81 |
| 1 | 259 | 57 |
| 2 | 3552 | 57 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))) y) |
(/.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
| Outputs |
|---|
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(sin.f64 x)) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))))))) |
| 1× | egg-herbie |
| 1222× | associate-*r* |
| 1028× | associate-*l* |
| 1024× | *-commutative |
| 738× | associate-*r/ |
| 728× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 655 | 10416 |
| 1 | 1876 | 9956 |
| 2 | 7596 | 9956 |
| 1× | node limit |
| Inputs |
|---|
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))) |
(+.f64 (*.f64 -1/12 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (*.f64 -1/10080 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y)) |
(*.f64 y (sin.f64 x)) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (sin.f64 x))) (*.f64 y (sin.f64 x))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) (sin.f64 x))) (*.f64 y (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) (sin.f64 x))) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) (sin.f64 x))) (*.f64 y (sin.f64 x))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 1/2 (*.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 1 (*.f64 y (sin.f64 x))) |
(+.f64 (*.f64 -1/6 (/.f64 y (sin.f64 x))) (/.f64 1 (*.f64 y (sin.f64 x)))) |
(+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (*.f64 -1/6 (/.f64 y (sin.f64 x))) (/.f64 1 (*.f64 y (sin.f64 x))))) |
(+.f64 (*.f64 7/360 (/.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (*.f64 -1/6 (/.f64 y (sin.f64 x))) (+.f64 (*.f64 -31/15120 (/.f64 (pow.f64 y 5) (sin.f64 x))) (/.f64 1 (*.f64 y (sin.f64 x)))))) |
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
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(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) 3) |
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 3) 1/3) |
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(*.f64 (/.f64 1 (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 x)) (sinh.f64 y)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 (/.f64 -1 (sinh.f64 y)))) (sqrt.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (sinh.f64 y))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 1 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) 1) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) -1) (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) -1) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (sinh.f64 y) -1/2)) 1) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) 1) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) -1) (cbrt.f64 (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2)) 1) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2)) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) (cbrt.f64 (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2)) (cbrt.f64 (/.f64 -1 (sinh.f64 y)))) (cbrt.f64 (neg.f64 (sin.f64 x)))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))) (sqrt.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))))) (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2))) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))) |
(pow.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)) -1) |
(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 (sinh.f64 y)) (sin.f64 x))) |
(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))) |
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (/.f64 1 (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)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) -1)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) 1) |
(*.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) |
(*.f64 (/.f64 1 (sinh.f64 y)) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 1 (sinh.f64 y)) (neg.f64 (/.f64 -1 (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)) 1) |
(*.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x))) (neg.f64 (/.f64 -1 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))) |
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (*.f64 (pow.f64 (sinh.f64 y) -1/2) (/.f64 1 (sin.f64 x)))) |
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sin.f64 x))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2) (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2) (neg.f64 (/.f64 -1 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (sinh.f64 y))) |
(*.f64 -1 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (/.f64 -1 (sinh.f64 y)) (/.f64 -1 (sin.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y)))) (neg.f64 (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y)))) (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))))) (neg.f64 (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y)))))) |
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 (sinh.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 x)) (sinh.f64 y)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y)))) |
(*.f64 (/.f64 -1 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (/.f64 -1 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2)) (/.f64 -1 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sin.f64 x)) (pow.f64 (sinh.f64 y) -1/2)) |
(*.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (pow.f64 (sinh.f64 y) -1/2) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sin.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 2 (sinh.f64 y)))) 2) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sinh.f64 y) -1/2))) (pow.f64 (sinh.f64 y) -1/2)) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2))) (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x))) 1) (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2) 1) (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2) -1) (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (sin.f64 x)) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 1 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 2 (*.f64 2 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (pow.f64 (sinh.f64 y) -1/2)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) -1) (/.f64 -1 (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (sinh.f64 y))) -1) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (*.f64 2 (sinh.f64 y))) 2) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (*.f64 -2 (sinh.f64 y))) -2) |
(*.f64 (/.f64 (/.f64 -1 (sin.f64 x)) (*.f64 -2 (sinh.f64 y))) 2) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))))) (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y)))) (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y)))))) (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2))) (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) -1) (sqrt.f64 (/.f64 1 (sin.f64 x)))) (*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) -1) (sqrt.f64 (/.f64 1 (sin.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))))) (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2)) (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2)) (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (pow.f64 (sinh.f64 y) -1/2)) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (pow.f64 (sinh.f64 y) -1/2))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (pow.f64 (sqrt.f64 (sinh.f64 y)) -1)) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (pow.f64 (sqrt.f64 (sinh.f64 y)) -1))) |
(pow.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)) 1) |
(pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) -1) |
(pow.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)) 3) 1/3) |
(neg.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(sqrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -2) (pow.f64 (sin.f64 x) 2))) |
(log.f64 (exp.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))))) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)) 3)) |
(cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) |
| Outputs |
|---|
(sin.f64 x) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))) |
(+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (sin.f64 x) (*.f64 y y)))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) (sin.f64 x)) |
(*.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) (sin.f64 x)) |
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x))))) |
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(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2)) (/.f64 -1 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y)))) 2) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sin.f64 x)) (pow.f64 (sinh.f64 y) -1/2)) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (pow.f64 (sinh.f64 y) -1/2) (cbrt.f64 (sin.f64 x)))) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sin.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (/.f64 1 (sinh.f64 y))))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sin.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y)))) (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))))) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 2 (sinh.f64 y)))) 2) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sinh.f64 y) -1/2))) (pow.f64 (sinh.f64 y) -1/2)) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (/.f64 1 (sinh.f64 y))))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2))) (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x))) 1) (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x)))) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y)))) (/.f64 (pow.f64 (sinh.f64 y) -1/2) (*.f64 (sqrt.f64 -1) (sqrt.f64 (sin.f64 x))))) |
(*.f64 (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y)))) (/.f64 (pow.f64 (sinh.f64 y) -1/2) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 -1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2) 1) (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2) -1) (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(*.f64 (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y)))) 2) -1)) |
(*.f64 (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y)))) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))) 2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (sin.f64 x)) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (/.f64 1 (sinh.f64 y))))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 1 (sinh.f64 y))) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 2 (*.f64 2 (sinh.f64 y)))) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sqrt.f64 (sinh.f64 y))) (pow.f64 (sinh.f64 y) -1/2)) |
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (/.f64 (/.f64 1 (sin.f64 x)) (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (pow.f64 (sinh.f64 y) -1/2) (*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (/.f64 1 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))) |
(/.f64 (/.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sin.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) -1) (/.f64 -1 (sinh.f64 y))) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (sinh.f64 y))) -1) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (*.f64 2 (sinh.f64 y))) 2) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)))) (cbrt.f64 (/.f64 1 (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (/.f64 1 (sinh.f64 y))))) |
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 (cbrt.f64 (/.f64 1 (sinh.f64 y))) (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (*.f64 -2 (sinh.f64 y))) -2) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 -1 (sin.f64 x)) (*.f64 -2 (sinh.f64 y))) 2) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))))) (sqrt.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y)))) (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y)))))) (cbrt.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(/.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2))) (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) -1) (sqrt.f64 (/.f64 1 (sin.f64 x)))) (*.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) -1) (sqrt.f64 (/.f64 1 (sin.f64 x))))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (/.f64 1 (sin.f64 x)))) (*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (/.f64 1 (sin.f64 x))))) |
(*.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (sqrt.f64 (sinh.f64 y)) -2)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))))) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x))))) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2)))) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x))))) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))))) (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))))) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2)) (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 2)) (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x))))) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (pow.f64 (sinh.f64 y) -1/2)) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (pow.f64 (sinh.f64 y) -1/2))) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (pow.f64 (sqrt.f64 (sinh.f64 y)) -1)) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (pow.f64 (sqrt.f64 (sinh.f64 y)) -1))) |
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (/.f64 1 (sin.f64 x)))) (*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (/.f64 1 (sin.f64 x))))) |
(*.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (sqrt.f64 (sinh.f64 y)) -2)) |
(pow.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)) 1) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) -1) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(pow.f64 (/.f64 (pow.f64 (sinh.f64 y) -1/2) (sqrt.f64 (sin.f64 x))) 2) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))) 3) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)) 3) 1/3) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(neg.f64 (/.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(sqrt.f64 (/.f64 (pow.f64 (sinh.f64 y) -2) (pow.f64 (sin.f64 x) 2))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) -2)) |
(log.f64 (exp.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))))) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)) 3)) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (sinh.f64 y) 3)) (pow.f64 (sin.f64 x) 3))) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(exp.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) 1)) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)))) |
(/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) |
(/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)) |
Compiled 16950 to 8934 computations (47.3% saved)
15 alts after pruning (10 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 972 | 9 | 981 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 5 | 6 |
| Total | 974 | 15 | 989 |
| Status | Error | Program |
|---|---|---|
| ▶ | 14.8b | (/.f64 (/.f64 1 (/.f64 (/.f64 1 y) (sin.f64 x))) y) |
| ✓ | 46.5b | (/.f64 (*.f64 x (sinh.f64 y)) y) |
| 47.0b | (/.f64 (*.f64 x y) y) | |
| ✓ | 0.5b | (/.f64 1 (/.f64 (+.f64 1 (*.f64 (*.f64 y y) -1/6)) (sin.f64 x))) |
| ✓ | 0.8b | (/.f64 1 (/.f64 1 (sin.f64 x))) |
| ▶ | 34.3b | (/.f64 1 (/.f64 1 x)) |
| ▶ | 33.9b | (/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
| 34.0b | (+.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) x) x) | |
| 34.0b | (*.f64 (+.f64 (+.f64 (*.f64 y (*.f64 1/6 y)) 0) 1) x) | |
| ✓ | 0.3b | (*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
| ▶ | 60.9b | (*.f64 x (*.f64 (*.f64 1/6 y) y)) |
| 60.9b | (*.f64 x (*.f64 1/6 (*.f64 y y))) | |
| ▶ | 60.9b | (*.f64 1/6 (*.f64 y (*.f64 x y))) |
| ✓ | 0.6b | (sin.f64 x) |
| 34.2b | x |
Compiled 225 to 163 computations (27.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sin.f64 x) | |
| ✓ | 0.2b | (/.f64 (/.f64 1 y) (sin.f64 x)) |
| ✓ | 1.0b | (/.f64 1 (/.f64 (/.f64 1 y) (sin.f64 x))) |
| ✓ | 13.0b | (/.f64 (/.f64 1 (/.f64 (/.f64 1 y) (sin.f64 x))) y) |
Compiled 34 to 20 computations (41.2% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (/.f64 1 y) (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 1 y) (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 1 y) (sin.f64 x)) |
| 0.0ms | y | @ | 0 | (/.f64 (/.f64 1 y) (sin.f64 x)) |
| 0.0ms | y | @ | inf | (/.f64 1 (/.f64 (/.f64 1 y) (sin.f64 x))) |
| 1× | batch-egg-rewrite |
| 1156× | *-commutative |
| 948× | unswap-sqr |
| 850× | associate-/r/ |
| 690× | swap-sqr |
| 626× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 69 |
| 1 | 234 | 45 |
| 2 | 3134 | 45 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 (/.f64 (/.f64 1 y) (sin.f64 x))) y) |
(/.f64 1 (/.f64 (/.f64 1 y) (sin.f64 x))) |
(/.f64 (/.f64 1 y) (sin.f64 x)) |
| Outputs |
|---|
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#<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (*.f64 y (sin.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (*.f64 y (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 y (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 y (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 y (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y -2) (*.f64 (pow.f64 (sin.f64 x) 3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 y (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 y (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 y (sin.f64 x))))))))) |
| 1× | egg-herbie |
| 1220× | associate-*r* |
| 1214× | associate-*l* |
| 878× | *-commutative |
| 812× | associate-/l* |
| 760× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 590 | 6864 |
| 1 | 1706 | 5902 |
| 2 | 7243 | 5902 |
| 1× | node limit |
| Inputs |
|---|
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(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 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 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 y x)) |
(+.f64 (*.f64 1/6 (/.f64 x y)) (/.f64 1 (*.f64 y x))) |
(+.f64 (*.f64 1/6 (/.f64 x y)) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 x 3) y)) (/.f64 1 (*.f64 y x)))) |
(+.f64 (*.f64 1/6 (/.f64 x y)) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 1 (*.f64 y x)) (*.f64 31/15120 (/.f64 (pow.f64 x 5) y))))) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) y)))) 1) |
(*.f64 1 (*.f64 y (/.f64 (sin.f64 x) y))) |
(*.f64 y (*.f64 (/.f64 1 y) (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 1 y) (*.f64 y (sin.f64 x))) |
(*.f64 (*.f64 y (sin.f64 x)) (/.f64 1 y)) |
(*.f64 (*.f64 y (/.f64 (sin.f64 x) y)) 1) |
(*.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) y))) (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) y)))) |
(*.f64 (pow.f64 y -1/2) (*.f64 (*.f64 y (sin.f64 x)) (pow.f64 y -1/2))) |
(*.f64 (pow.f64 y -1/2) (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) y)) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) y))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) y))) 2)) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) y))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (cbrt.f64 (*.f64 y y)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) y))) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) y)))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 (*.f64 y (sin.f64 x)) (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (*.f64 (/.f64 1 y) (cbrt.f64 (*.f64 y (sin.f64 x))))) |
(*.f64 (/.f64 -1 y) (*.f64 y (neg.f64 (sin.f64 x)))) |
(*.f64 (*.f64 y (neg.f64 (sin.f64 x))) (/.f64 -1 y)) |
(*.f64 (*.f64 (*.f64 y (sin.f64 x)) (pow.f64 y -1/2)) (pow.f64 y -1/2)) |
(*.f64 (*.f64 (*.f64 y (sin.f64 x)) (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y))) |
(*.f64 (/.f64 y y) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 1 y) (cbrt.f64 (*.f64 y (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2)) |
(*.f64 (*.f64 (/.f64 1 y) (sin.f64 x)) y) |
(*.f64 (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 y)) (pow.f64 y -1/2)) |
(*.f64 (/.f64 (*.f64 y (sin.f64 x)) (cbrt.f64 (*.f64 y y))) (/.f64 1 (cbrt.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (*.f64 y (sin.f64 x)) (cbrt.f64 y))) |
(*.f64 (/.f64 (*.f64 y (sin.f64 x)) (cbrt.f64 y)) (/.f64 1 (cbrt.f64 (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 y (sin.f64 x)) (neg.f64 y)) -1) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) y) (sqrt.f64 (*.f64 y (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (cbrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (cbrt.f64 (*.f64 y y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) y)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) y) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (sqrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) (sqrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) y)))) |
(*.f64 (/.f64 (sin.f64 x) y) y) |
(*.f64 (/.f64 y (sqrt.f64 y)) (/.f64 (sin.f64 x) (sqrt.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 y)) (/.f64 y (sqrt.f64 y))) |
(*.f64 (/.f64 y (cbrt.f64 (*.f64 y y))) (/.f64 (sin.f64 x) (cbrt.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 y)) (/.f64 y (cbrt.f64 (*.f64 y y)))) |
(*.f64 (/.f64 (/.f64 1 y) -1) (*.f64 y (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 y (sin.f64 x)) -1) (/.f64 -1 y)) |
(*.f64 (/.f64 1 (neg.f64 (/.f64 y y))) (neg.f64 (sin.f64 x))) |
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(*.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) (/.f64 1 (sin.f64 x)))) |
(*.f64 (pow.f64 y -1/2) (/.f64 (pow.f64 y -1/2) (sin.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x)))) (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x))))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x)))) (neg.f64 (/.f64 -1 (sqrt.f64 (*.f64 y (sin.f64 x)))))) |
(*.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 2)) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 2) (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x))))) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 2) (neg.f64 (/.f64 -1 (cbrt.f64 (*.f64 y (sin.f64 x)))))) |
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 y)) |
(*.f64 (/.f64 -1 y) (/.f64 -1 (sin.f64 x))) |
(*.f64 -1 (/.f64 (/.f64 -1 y) (sin.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x))) (neg.f64 (sqrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x))) (cbrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x)))) (neg.f64 (cbrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x))))) |
(*.f64 (*.f64 (pow.f64 y -1/2) (/.f64 1 (sin.f64 x))) (pow.f64 y -1/2)) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 1 (sin.f64 x))) (cbrt.f64 (pow.f64 y -2))) |
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 y)) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 1 (*.f64 y (sqrt.f64 (sin.f64 x))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 1 y) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 y (sqrt.f64 (sin.f64 x)))) (/.f64 1 (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 y) (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (/.f64 -1 (sqrt.f64 (*.f64 y (sin.f64 x)))) (/.f64 -1 (sqrt.f64 (*.f64 y (sin.f64 x))))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 2)) (/.f64 -1 (cbrt.f64 (*.f64 y (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 y -1/2) (sin.f64 x)) (pow.f64 y -1/2)) |
(*.f64 (/.f64 (pow.f64 y -1/2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (pow.f64 y -1/2) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 y -1/2) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 y -1/2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 y)) (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (sin.f64 x)) (/.f64 (cbrt.f64 (pow.f64 y -2)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (sqrt.f64 (sin.f64 x))) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 y)))) |
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 y))) (/.f64 (cbrt.f64 (pow.f64 y -2)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x))))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 y -1/2))) (pow.f64 y -1/2)) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 y -2)))) (/.f64 1 (cbrt.f64 y))) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 2))) (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x))))) |
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x)))) 1) (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x))))) |
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (sin.f64 x)) (/.f64 1 (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 2) 1) (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 2) -1) (cbrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 1 y)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sqrt.f64 y)) (pow.f64 y -1/2)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (*.f64 y y))) (/.f64 1 (cbrt.f64 y))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (neg.f64 y)) -1) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) -1) (/.f64 -1 y)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (cbrt.f64 (pow.f64 y -2)))) (/.f64 1 (cbrt.f64 y))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x)))) (sqrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x))) (cbrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x))))) (cbrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x)))) |
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (*.f64 y (sin.f64 x))))) (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x))))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 2))) (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x))))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 y) -1) (sqrt.f64 (/.f64 1 (sin.f64 x)))) (*.f64 (pow.f64 (sqrt.f64 y) -1) (sqrt.f64 (/.f64 1 (sin.f64 x))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x))))) (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x))))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x))))) (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x))))) (sqrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 2))) (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x))))) (sqrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 2)))) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))))) (*.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x))))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 2)) (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x)))))) (*.f64 (sqrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 2)) (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (pow.f64 (sqrt.f64 y) -1)) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (pow.f64 (sqrt.f64 y) -1))) |
(pow.f64 (/.f64 1 (*.f64 y (sin.f64 x))) 1) |
(pow.f64 (*.f64 y (sin.f64 x)) -1) |
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x)))) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (*.f64 y (sin.f64 x))) 3) 1/3) |
(neg.f64 (/.f64 (/.f64 -1 y) (sin.f64 x))) |
(sqrt.f64 (/.f64 1 (pow.f64 (*.f64 y (sin.f64 x)) 2))) |
(log.f64 (exp.f64 (/.f64 1 (*.f64 y (sin.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 y (sin.f64 x)))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 y (sin.f64 x))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 y -2) (*.f64 (pow.f64 (sin.f64 x) 3) y))) |
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 y (sin.f64 x))))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 y (sin.f64 x))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 y (sin.f64 x))))) |
| Outputs |
|---|
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x))) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sin.f64 x) y) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sin.f64 x) y) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sin.f64 x) y) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sin.f64 x) y) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sin.f64 x) y) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sin.f64 x) y) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sin.f64 x) y) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sin.f64 x) y) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sin.f64 x) y) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sin.f64 x) y) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sin.f64 x) y) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sin.f64 x) y) |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (*.f64 y x)) |
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) y) (*.f64 x y)) |
(fma.f64 (*.f64 -1/6 y) (pow.f64 x 3) (*.f64 x y)) |
(+.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 (pow.f64 x 3) y) (fma.f64 y x (*.f64 1/120 (*.f64 (pow.f64 x 5) y)))) |
(fma.f64 (*.f64 -1/6 y) (pow.f64 x 3) (fma.f64 x y (*.f64 (pow.f64 x 5) (*.f64 1/120 y)))) |
(+.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 (pow.f64 x 3) y) (fma.f64 -1/5040 (*.f64 (pow.f64 x 7) y) (fma.f64 y x (*.f64 1/120 (*.f64 (pow.f64 x 5) y))))) |
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) y) (fma.f64 -1/5040 (*.f64 (pow.f64 x 7) y) (fma.f64 x y (*.f64 (pow.f64 x 5) (*.f64 1/120 y))))) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sin.f64 x) y) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sin.f64 x) y) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sin.f64 x) y) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sin.f64 x) y) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sin.f64 x) y) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sin.f64 x) y) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sin.f64 x) y) |
(*.f64 y (sin.f64 x)) |
(*.f64 (sin.f64 x) y) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(/.f64 1 (*.f64 y x)) |
(/.f64 1 (*.f64 x y)) |
(+.f64 (*.f64 1/6 (/.f64 x y)) (/.f64 1 (*.f64 y x))) |
(fma.f64 1/6 (/.f64 x y) (/.f64 1 (*.f64 x y))) |
(+.f64 (*.f64 1/6 (/.f64 x y)) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 x 3) y)) (/.f64 1 (*.f64 y x)))) |
(fma.f64 1/6 (/.f64 x y) (fma.f64 7/360 (/.f64 (pow.f64 x 3) y) (/.f64 1 (*.f64 x y)))) |
(+.f64 (*.f64 1/6 (/.f64 x y)) (+.f64 (*.f64 7/360 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 1 (*.f64 y x)) (*.f64 31/15120 (/.f64 (pow.f64 x 5) y))))) |
(fma.f64 1/6 (/.f64 x y) (+.f64 (fma.f64 7/360 (/.f64 (pow.f64 x 3) y) (/.f64 1 (*.f64 x y))) (*.f64 31/15120 (/.f64 (pow.f64 x 5) y)))) |
(fma.f64 1/6 (/.f64 x y) (fma.f64 7/360 (/.f64 (pow.f64 x 3) y) (fma.f64 31/15120 (/.f64 (pow.f64 x 5) y) (/.f64 1 (*.f64 x y))))) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(/.f64 1 (*.f64 y (sin.f64 x))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (sin.f64 x) y)))) 1) |
(sin.f64 x) |
(*.f64 1 (*.f64 y (/.f64 (sin.f64 x) y))) |
(sin.f64 x) |
(*.f64 y (*.f64 (/.f64 1 y) (sin.f64 x))) |
(sin.f64 x) |
(*.f64 y (/.f64 (sin.f64 x) y)) |
(sin.f64 x) |
(*.f64 (/.f64 1 y) (*.f64 y (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (*.f64 y (sin.f64 x)) (/.f64 1 y)) |
(sin.f64 x) |
(*.f64 (*.f64 y (/.f64 (sin.f64 x) y)) 1) |
(sin.f64 x) |
(*.f64 (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) y))) (sqrt.f64 (*.f64 y (/.f64 (sin.f64 x) y)))) |
(sin.f64 x) |
(*.f64 (pow.f64 y -1/2) (*.f64 (*.f64 y (sin.f64 x)) (pow.f64 y -1/2))) |
(sin.f64 x) |
(*.f64 (pow.f64 y -1/2) (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 y))) |
(*.f64 (pow.f64 y -1/2) (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 y))) |
(/.f64 (*.f64 (sin.f64 x) (pow.f64 y 1/2)) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) (/.f64 (sqrt.f64 (*.f64 y (sin.f64 x))) y)) |
(sin.f64 x) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) y))) (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) y))) 2)) |
(sin.f64 x) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) y))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (cbrt.f64 (*.f64 y y)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (cbrt.f64 (*.f64 (sin.f64 x) 1))) (cbrt.f64 (*.f64 y y))) |
(/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) y))) 2) (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) y)))) |
(sin.f64 x) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 (*.f64 y (sin.f64 x)) (cbrt.f64 (pow.f64 y -2)))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 y (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 y -2))))) |
(*.f64 y (*.f64 (sin.f64 x) (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 y)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (*.f64 (/.f64 1 y) (cbrt.f64 (*.f64 y (sin.f64 x))))) |
(sin.f64 x) |
(*.f64 (/.f64 -1 y) (*.f64 y (neg.f64 (sin.f64 x)))) |
(sin.f64 x) |
(*.f64 (*.f64 y (neg.f64 (sin.f64 x))) (/.f64 -1 y)) |
(sin.f64 x) |
(*.f64 (*.f64 (*.f64 y (sin.f64 x)) (pow.f64 y -1/2)) (pow.f64 y -1/2)) |
(sin.f64 x) |
(*.f64 (*.f64 (*.f64 y (sin.f64 x)) (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 y (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 y -2))))) |
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(*.f64 (*.f64 (pow.f64 (sqrt.f64 y) -1) (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x)))) -1)) (*.f64 (pow.f64 (sqrt.f64 y) -1) (pow.f64 (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x)))) -1))) |
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(sin.f64 x) |
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(pow.f64 (/.f64 y (*.f64 y (sin.f64 x))) -1) |
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(*.f64 (sin.f64 x) y) |
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(*.f64 (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x)))) (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x))))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x)))) (neg.f64 (/.f64 -1 (sqrt.f64 (*.f64 y (sin.f64 x)))))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (pow.f64 y -2)))) |
(/.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (sin.f64 x) (cbrt.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 2)) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 x) y))) (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 2) (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x))))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 2) (neg.f64 (/.f64 -1 (cbrt.f64 (*.f64 y (sin.f64 x)))))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 y)) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 -1 y) (/.f64 -1 (sin.f64 x))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 -1 (/.f64 (/.f64 -1 y) (sin.f64 x))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x))) (neg.f64 (sqrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x))))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x))) (cbrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x)))) (neg.f64 (cbrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x))))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (*.f64 (pow.f64 y -1/2) (/.f64 1 (sin.f64 x))) (pow.f64 y -1/2)) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 1 (sin.f64 x))) (cbrt.f64 (pow.f64 y -2))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (pow.f64 y -2)))) |
(/.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (sin.f64 x) (cbrt.f64 y))) |
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 y)) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 1 (*.f64 y (sqrt.f64 (sin.f64 x))))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 1 y) (cbrt.f64 (sin.f64 x)))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 1 (*.f64 y (sqrt.f64 (sin.f64 x)))) (/.f64 1 (sqrt.f64 (sin.f64 x)))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (/.f64 1 y) (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 -1 (sqrt.f64 (*.f64 y (sin.f64 x)))) (/.f64 -1 (sqrt.f64 (*.f64 y (sin.f64 x))))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (neg.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 2)) (/.f64 -1 (cbrt.f64 (*.f64 y (sin.f64 x))))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (pow.f64 y -1/2) (sin.f64 x)) (pow.f64 y -1/2)) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (pow.f64 y -1/2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (pow.f64 y -1/2) (cbrt.f64 (sin.f64 x)))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (pow.f64 y -1/2) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 y -1/2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 y)) (sin.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (pow.f64 y -2)))) |
(/.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (sin.f64 x) (cbrt.f64 y))) |
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 y)) (sin.f64 x)) (/.f64 (cbrt.f64 (pow.f64 y -2)) 1)) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (pow.f64 y -2)))) |
(/.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (sin.f64 x) (cbrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (sqrt.f64 (sin.f64 x))) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 y)))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (pow.f64 y -2)))) |
(/.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (sin.f64 x) (cbrt.f64 y))) |
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 y))) (/.f64 (cbrt.f64 (pow.f64 y -2)) (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (pow.f64 y -2)))) |
(/.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (sin.f64 x) (cbrt.f64 y))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x))))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 x) y))) (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 y -1/2))) (pow.f64 y -1/2)) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 y -2)))) (/.f64 1 (cbrt.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (pow.f64 y -2)))) |
(/.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (sin.f64 x) (cbrt.f64 y))) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 2))) (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x))))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x)))) 1) (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x))))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x))) (/.f64 1 (*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (sin.f64 x) y))))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 -1 (sin.f64 x)) y)) (/.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (*.f64 (sin.f64 x) y)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (sin.f64 x)) (/.f64 1 (cbrt.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (pow.f64 y -2)))) |
(/.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (sin.f64 x) (cbrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 2) 1) (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x))))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 2) -1) (cbrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x))) (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 x) y))) 2) -1)) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 -1 (sin.f64 x)) y)) (/.f64 -1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 1 y)) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sqrt.f64 y)) (pow.f64 y -1/2)) |
(*.f64 (pow.f64 y -1/2) (/.f64 (/.f64 1 (sin.f64 x)) (sqrt.f64 y))) |
(/.f64 (pow.f64 y -1/2) (*.f64 (sin.f64 x) (sqrt.f64 y))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (*.f64 y y))) (/.f64 1 (cbrt.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 1 (*.f64 (sin.f64 x) (cbrt.f64 (*.f64 y y))))) |
(/.f64 (/.f64 1 (sin.f64 x)) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (neg.f64 y)) -1) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) -1) (/.f64 -1 y)) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (cbrt.f64 (pow.f64 y -2)))) (/.f64 1 (cbrt.f64 y))) |
(*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (pow.f64 y -2)))) |
(/.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (sin.f64 x) (cbrt.f64 y))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x)))) (sqrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x)))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x))) (cbrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x))))) (cbrt.f64 (/.f64 (/.f64 -1 y) (sin.f64 x)))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (*.f64 y (sin.f64 x))))) (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x))))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 2))) (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x))))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 y) -1) (sqrt.f64 (/.f64 1 (sin.f64 x)))) (*.f64 (pow.f64 (sqrt.f64 y) -1) (sqrt.f64 (/.f64 1 (sin.f64 x))))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (*.f64 (/.f64 1 (sqrt.f64 y)) (sqrt.f64 (/.f64 1 (sin.f64 x)))))) |
(*.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (sqrt.f64 y) -2)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x))))) (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x))))) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x))))) (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x))))) (sqrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 2))) (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x))))) (sqrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 2)))) |
(*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) y)))) (*.f64 (sqrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 x) y))) 2)) (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) y)))) (sqrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 x) y))) 2))))) |
(*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) y)))) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)) (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) y)))))) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))))) (*.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x))))))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 2)) (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x)))))) (*.f64 (sqrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 2)) (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x))))))) |
(*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) y)))) (*.f64 (sqrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 x) y))) 2)) (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) y)))) (sqrt.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 x) y))) 2))))) |
(*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) y)))) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2)) (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) y)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (pow.f64 (sqrt.f64 y) -1)) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (pow.f64 (sqrt.f64 y) -1))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (*.f64 (/.f64 1 (sqrt.f64 y)) (sqrt.f64 (/.f64 1 (sin.f64 x)))))) |
(*.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (sqrt.f64 y) -2)) |
(pow.f64 (/.f64 1 (*.f64 y (sin.f64 x))) 1) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(pow.f64 (*.f64 y (sin.f64 x)) -1) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 y (sin.f64 x)))) 2) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 y (sin.f64 x)))) 3) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(pow.f64 (pow.f64 (/.f64 1 (*.f64 y (sin.f64 x))) 3) 1/3) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(neg.f64 (/.f64 (/.f64 -1 y) (sin.f64 x))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(sqrt.f64 (/.f64 1 (pow.f64 (*.f64 y (sin.f64 x)) 2))) |
(sqrt.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 x) y) 2))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) -2)) |
(log.f64 (exp.f64 (/.f64 1 (*.f64 y (sin.f64 x))))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 y (sin.f64 x)))))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 y (sin.f64 x))) 3)) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(cbrt.f64 (/.f64 (pow.f64 y -2) (*.f64 (pow.f64 (sin.f64 x) 3) y))) |
(cbrt.f64 (/.f64 (pow.f64 y -2) (*.f64 y (pow.f64 (sin.f64 x) 3)))) |
(cbrt.f64 (/.f64 (/.f64 (pow.f64 y -2) (pow.f64 (sin.f64 x) 3)) y)) |
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 y (sin.f64 x))))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(exp.f64 (neg.f64 (log.f64 (*.f64 y (sin.f64 x))))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 y (sin.f64 x))))) |
(/.f64 1 (*.f64 (sin.f64 x) y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 1 (/.f64 1 x)) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 1 (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (/.f64 1 (/.f64 1 x)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 1182× | associate-*r* |
| 908× | add-sqr-sqrt |
| 892× | *-un-lft-identity |
| 842× | pow1 |
| 832× | add-cube-cbrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 1 |
| 1 | 125 | 1 |
| 2 | 1227 | 1 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) -1) (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x)))))) |
| 1× | egg-herbie |
| 1228× | associate-*r/ |
| 1178× | associate-/r* |
| 952× | associate-*l/ |
| 916× | associate-/l* |
| 850× | associate-/r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 273 |
| 1 | 241 | 231 |
| 2 | 805 | 223 |
| 3 | 3088 | 223 |
| 1× | node limit |
| Inputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(-.f64 (+.f64 1 x) 1) |
(*.f64 1 x) |
(*.f64 x 1) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) |
(*.f64 -1 (neg.f64 x)) |
(*.f64 (neg.f64 x) -1) |
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1)) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) -1) (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1)) |
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (*.f64 -1 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) |
(*.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(*.f64 (*.f64 -1 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
(*.f64 (*.f64 -1 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
(*.f64 (*.f64 -1 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 (*.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(pow.f64 x 1) |
(pow.f64 (/.f64 1 x) -1) |
(pow.f64 (sqrt.f64 x) 2) |
(pow.f64 (cbrt.f64 x) 3) |
(pow.f64 (pow.f64 x 3) 1/3) |
(sqrt.f64 (*.f64 x x)) |
(log.f64 (exp.f64 x)) |
(cbrt.f64 (pow.f64 x 3)) |
(expm1.f64 (log1p.f64 x)) |
(exp.f64 (log.f64 x)) |
(log1p.f64 (expm1.f64 x)) |
| Outputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(-.f64 (+.f64 1 x) 1) |
x |
(*.f64 1 x) |
x |
(*.f64 x 1) |
x |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
x |
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) |
x |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) |
x |
(*.f64 -1 (neg.f64 x)) |
x |
(*.f64 (neg.f64 x) -1) |
x |
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1)) |
x |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (/.f64 1 (cbrt.f64 x)))) |
(/.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) -1) (pow.f64 (cbrt.f64 (pow.f64 x -2)) -1)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (/.f64 1 (cbrt.f64 x)))) |
(/.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x -2))) |
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) |
x |
(*.f64 (*.f64 -1 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) |
x |
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (neg.f64 (cbrt.f64 x))) |
x |
(*.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (cbrt.f64 x) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x)))) |
(*.f64 (sqrt.f64 x) (*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))) |
(*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3)) |
(*.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
x |
(*.f64 (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) |
x |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x))) |
x |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) |
x |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (cbrt.f64 x)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) |
(*.f64 (*.f64 -1 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x))) |
x |
(*.f64 (*.f64 -1 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 x))) |
x |
(*.f64 (*.f64 -1 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
x |
(*.f64 (*.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
x |
(pow.f64 x 1) |
x |
(pow.f64 (/.f64 1 x) -1) |
x |
(pow.f64 (sqrt.f64 x) 2) |
x |
(pow.f64 (cbrt.f64 x) 3) |
x |
(pow.f64 (pow.f64 x 3) 1/3) |
x |
(sqrt.f64 (*.f64 x x)) |
x |
(log.f64 (exp.f64 x)) |
x |
(cbrt.f64 (pow.f64 x 3)) |
x |
(expm1.f64 (log1p.f64 x)) |
x |
(exp.f64 (log.f64 x)) |
x |
(log1p.f64 (expm1.f64 x)) |
x |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 y (*.f64 x y)) |
| ✓ | 0.2b | (*.f64 1/6 (*.f64 y (*.f64 x y))) |
Compiled 20 to 7 computations (65% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 1/6 (*.f64 y (*.f64 x y))) |
| 0.0ms | y | @ | inf | (*.f64 1/6 (*.f64 y (*.f64 x y))) |
| 0.0ms | x | @ | inf | (*.f64 1/6 (*.f64 y (*.f64 x y))) |
| 0.0ms | y | @ | 0 | (*.f64 1/6 (*.f64 y (*.f64 x y))) |
| 0.0ms | x | @ | -inf | (*.f64 y (*.f64 x y)) |
| 1× | batch-egg-rewrite |
| 1528× | add-sqr-sqrt |
| 1510× | *-un-lft-identity |
| 1402× | add-cube-cbrt |
| 1380× | add-cbrt-cube |
| 1364× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 161 | 32 |
| 2 | 1900 | 32 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/6 (*.f64 y (*.f64 x y))) |
(*.f64 y (*.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (*.f64 y (*.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 y (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 (*.f64 y (*.f64 y x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 y (*.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (*.f64 y (*.f64 y x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 (*.f64 y (*.f64 y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (*.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 y (*.f64 y x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 y (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 y (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 y (*.f64 y x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 y (*.f64 y x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 y x)))))))) |
| 1× | egg-herbie |
| 1498× | associate-+l+ |
| 1394× | distribute-lft-in |
| 1370× | distribute-rgt-in |
| 590× | unswap-sqr |
| 562× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 1162 |
| 1 | 157 | 1162 |
| 2 | 697 | 1156 |
| 3 | 2465 | 1156 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 (pow.f64 y 2) x) |
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 y (*.f64 y x)))) 1) |
(pow.f64 (*.f64 1/6 (*.f64 y (*.f64 y x))) 1) |
(pow.f64 (sqrt.f64 (*.f64 1/6 (*.f64 y (*.f64 y x)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 y (*.f64 y x)))) 3) |
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 y (*.f64 y x))) 3) 1/3) |
(sqrt.f64 (*.f64 1/36 (pow.f64 (*.f64 y (*.f64 y x)) 2))) |
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 y (*.f64 y x)))) |
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 y (*.f64 y x))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 y (*.f64 y x))))) |
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 y (*.f64 y x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 y (*.f64 y x)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 y (*.f64 y x))))) |
(-.f64 (+.f64 1 (*.f64 y (*.f64 y x))) 1) |
(pow.f64 (*.f64 y (*.f64 y x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 y x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 y x))) 3) |
(pow.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 y x)) 2)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) y)) |
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 y x)))) |
(exp.f64 (log.f64 (*.f64 y (*.f64 y x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y x))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 y x)))) |
| Outputs |
|---|
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 y (*.f64 y x)) |
(*.f64 (pow.f64 y 2) x) |
(*.f64 y (*.f64 y x)) |
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 y (*.f64 y x)))) 1) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(pow.f64 (*.f64 1/6 (*.f64 y (*.f64 y x))) 1) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(pow.f64 (sqrt.f64 (*.f64 1/6 (*.f64 y (*.f64 y x)))) 2) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 y (*.f64 y x)))) 3) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 y (*.f64 y x))) 3) 1/3) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(sqrt.f64 (*.f64 1/36 (pow.f64 (*.f64 y (*.f64 y x)) 2))) |
(fabs.f64 (*.f64 1/6 (*.f64 y (*.f64 y x)))) |
(fabs.f64 (*.f64 (*.f64 y y) (*.f64 1/6 x))) |
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 y (*.f64 y x)))) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 y (*.f64 y x))) 3)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 y (*.f64 y x))))) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 y (*.f64 y x))))) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 y (*.f64 y x)))) 1)) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 y (*.f64 y x))))) |
(*.f64 1/6 (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(-.f64 (+.f64 1 (*.f64 y (*.f64 y x))) 1) |
(*.f64 y (*.f64 y x)) |
(pow.f64 (*.f64 y (*.f64 y x)) 1) |
(*.f64 y (*.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 y (*.f64 y x))) 2) |
(*.f64 y (*.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 y x))) 3) |
(*.f64 y (*.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3) 1/3) |
(*.f64 y (*.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 y (*.f64 y x)) 2)) |
(*.f64 y (*.f64 y x)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) y)) |
(*.f64 y (*.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 y x)) 3)) |
(*.f64 y (*.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 y x)))) |
(*.f64 y (*.f64 y x)) |
(exp.f64 (log.f64 (*.f64 y (*.f64 y x)))) |
(*.f64 y (*.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y x))) 1)) |
(*.f64 y (*.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 y x)))) |
(*.f64 y (*.f64 y x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (*.f64 1/6 y) y) |
| ✓ | 0.4b | (*.f64 1/6 y) |
| ✓ | 8.1b | (*.f64 x (*.f64 (*.f64 1/6 y) y)) |
Compiled 20 to 12 computations (40% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | 0 | (*.f64 1/6 y) |
| 0.0ms | y | @ | inf | (*.f64 1/6 y) |
| 0.0ms | y | @ | -inf | (*.f64 1/6 y) |
| 0.0ms | x | @ | 0 | (*.f64 x (*.f64 (*.f64 1/6 y) y)) |
| 0.0ms | y | @ | inf | (*.f64 x (*.f64 (*.f64 1/6 y) y)) |
| 1× | batch-egg-rewrite |
| 1542× | add-sqr-sqrt |
| 1524× | *-un-lft-identity |
| 1416× | add-cube-cbrt |
| 1392× | add-cbrt-cube |
| 1376× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 39 |
| 1 | 162 | 39 |
| 2 | 1924 | 39 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (*.f64 (*.f64 1/6 y) y)) |
(*.f64 1/6 y) |
(*.f64 (*.f64 1/6 y) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x 1/6) (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 1/6) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/6) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) 1/6) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 y y)))))))) |
| 1× | egg-herbie |
| 1208× | log-prod |
| 1082× | associate-/r* |
| 842× | unswap-sqr |
| 508× | +-commutative |
| 450× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 1224 |
| 1 | 224 | 1152 |
| 2 | 942 | 1080 |
| 3 | 3357 | 1080 |
| 4 | 7078 | 1080 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (pow.f64 y 2)) |
(-.f64 (+.f64 1 (*.f64 (*.f64 x 1/6) (*.f64 y y))) 1) |
(pow.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y)) 1) |
(pow.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 1/6) y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y))) 3) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y)) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (*.f64 1/6 (*.f64 y y)))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y)))) |
(exp.f64 (log.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y)))) |
(-.f64 (+.f64 1 (*.f64 1/6 y)) 1) |
(pow.f64 (*.f64 1/6 y) 1) |
(pow.f64 (sqrt.f64 (*.f64 1/6 y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/6 y)) 3) |
(pow.f64 (pow.f64 (*.f64 1/6 y) 3) 1/3) |
(sqrt.f64 (*.f64 (*.f64 y y) 1/36)) |
(log.f64 (pow.f64 (exp.f64 y) 1/6)) |
(cbrt.f64 (pow.f64 (*.f64 1/6 y) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/6 y))) |
(exp.f64 (log.f64 (*.f64 1/6 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 y)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 1/6 y))) |
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) 1) |
(pow.f64 (*.f64 1/6 (*.f64 y y)) 1) |
(pow.f64 (*.f64 (sqrt.f64 1/6) y) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 y y))) 3) |
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 2)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) 1/6) y)) |
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 y y)))) |
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 y y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 y y))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 y y)))) |
| Outputs |
|---|
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(*.f64 1/6 (*.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(*.f64 1/6 (pow.f64 y 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(-.f64 (+.f64 1 (*.f64 (*.f64 x 1/6) (*.f64 y y))) 1) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(pow.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y)) 1) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(pow.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 1/6) y)) 2) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y))) 3) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y)) 3) 1/3) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y)) 2)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(log.f64 (pow.f64 (exp.f64 x) (*.f64 1/6 (*.f64 y y)))) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y)) 3)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y)))) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(exp.f64 (log.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y)))) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y))) 1)) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x 1/6) (*.f64 y y)))) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 (*.f64 x y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 x (*.f64 y (*.f64 1/6 y))) |
(-.f64 (+.f64 1 (*.f64 1/6 y)) 1) |
(+.f64 1 (-.f64 (*.f64 1/6 y) 1)) |
(+.f64 (*.f64 1/6 y) 0) |
(*.f64 1/6 y) |
(pow.f64 (*.f64 1/6 y) 1) |
(+.f64 1 (-.f64 (*.f64 1/6 y) 1)) |
(+.f64 (*.f64 1/6 y) 0) |
(*.f64 1/6 y) |
(pow.f64 (sqrt.f64 (*.f64 1/6 y)) 2) |
(+.f64 1 (-.f64 (*.f64 1/6 y) 1)) |
(+.f64 (*.f64 1/6 y) 0) |
(*.f64 1/6 y) |
(pow.f64 (cbrt.f64 (*.f64 1/6 y)) 3) |
(+.f64 1 (-.f64 (*.f64 1/6 y) 1)) |
(+.f64 (*.f64 1/6 y) 0) |
(*.f64 1/6 y) |
(pow.f64 (pow.f64 (*.f64 1/6 y) 3) 1/3) |
(+.f64 1 (-.f64 (*.f64 1/6 y) 1)) |
(+.f64 (*.f64 1/6 y) 0) |
(*.f64 1/6 y) |
(sqrt.f64 (*.f64 (*.f64 y y) 1/36)) |
(+.f64 1 (-.f64 (*.f64 1/6 y) 1)) |
(+.f64 (*.f64 1/6 y) 0) |
(*.f64 1/6 y) |
(log.f64 (pow.f64 (exp.f64 y) 1/6)) |
(+.f64 1 (-.f64 (*.f64 1/6 y) 1)) |
(+.f64 (*.f64 1/6 y) 0) |
(*.f64 1/6 y) |
(cbrt.f64 (pow.f64 (*.f64 1/6 y) 3)) |
(+.f64 1 (-.f64 (*.f64 1/6 y) 1)) |
(+.f64 (*.f64 1/6 y) 0) |
(*.f64 1/6 y) |
(expm1.f64 (log1p.f64 (*.f64 1/6 y))) |
(+.f64 1 (-.f64 (*.f64 1/6 y) 1)) |
(+.f64 (*.f64 1/6 y) 0) |
(*.f64 1/6 y) |
(exp.f64 (log.f64 (*.f64 1/6 y))) |
(+.f64 1 (-.f64 (*.f64 1/6 y) 1)) |
(+.f64 (*.f64 1/6 y) 0) |
(*.f64 1/6 y) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 y)) 1)) |
(+.f64 1 (-.f64 (*.f64 1/6 y) 1)) |
(+.f64 (*.f64 1/6 y) 0) |
(*.f64 1/6 y) |
(log1p.f64 (expm1.f64 (*.f64 1/6 y))) |
(+.f64 1 (-.f64 (*.f64 1/6 y) 1)) |
(+.f64 (*.f64 1/6 y) 0) |
(*.f64 1/6 y) |
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) 1) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(pow.f64 (*.f64 1/6 (*.f64 y y)) 1) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(pow.f64 (*.f64 (sqrt.f64 1/6) y) 2) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 y y))) 3) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(pow.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3) 1/3) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(sqrt.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 2)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) 1/6) y)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 y y)) 3)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 y y)))) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 y y)))) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 y y))) 1)) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 y y)))) |
(*.f64 1/6 (*.f64 y y)) |
(*.f64 y (*.f64 1/6 y)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 1/6 x) (/.f64 1 x)) |
| ✓ | 0.2b | (/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
| ✓ | 0.3b | (*.f64 1/6 x) |
Compiled 27 to 20 computations (25.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
| 0.0ms | x | @ | inf | (*.f64 1/6 x) |
| 0.0ms | x | @ | -inf | (/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
| 0.0ms | x | @ | -inf | (*.f64 1/6 x) |
| 0.0ms | x | @ | 0 | (/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 1974× | add-sqr-sqrt |
| 1944× | *-un-lft-identity |
| 1826× | add-cube-cbrt |
| 1810× | add-cbrt-cube |
| 188× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 43 |
| 1 | 196 | 43 |
| 2 | 2490 | 43 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/6 x) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(+.f64 (*.f64 1/6 x) (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/216 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/216 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -1/2) (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -2)) (cbrt.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 1/6 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2))) (-.f64 (*.f64 1/6 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))) (+.f64 (*.f64 1/36 (*.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/6 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) -1) (pow.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 x (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/36 (*.f64 x x)) (-.f64 (*.f64 1/6 x) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (*.f64 1/6 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/6 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/6 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)) (/.f64 1 (-.f64 (*.f64 1/6 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)) (/.f64 1 (+.f64 (*.f64 1/36 (*.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/6 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/6 x) (/.f64 1 x)) (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/36 (*.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/6 x) x))) (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/6 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) (cbrt.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 1/6 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (*.f64 1/36 (*.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/6 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/36 (*.f64 x x)) (/.f64 (*.f64 1/6 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/6 x (/.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2))) (neg.f64 (-.f64 (*.f64 1/6 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))) (neg.f64 (+.f64 (*.f64 1/36 (*.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/6 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (*.f64 1/36 (*.f64 x x))) (-.f64 (/.f64 1 x) (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/6 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/6 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/6 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 x (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/6 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/6 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (*.f64 1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/6 x)) (sqrt.f64 (*.f64 1/6 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2) (cbrt.f64 (*.f64 1/6 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 1/6 x)))))) |
| 1× | egg-herbie |
| 876× | associate-/r* |
| 870× | unswap-sqr |
| 746× | +-commutative |
| 702× | associate-*r/ |
| 688× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 203 | 2383 |
| 1 | 480 | 2241 |
| 2 | 1811 | 2211 |
| 3 | 7953 | 2211 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/216 (pow.f64 x 7)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) x))) |
(/.f64 6 x) |
(-.f64 (*.f64 6 (/.f64 1 x)) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1296 (/.f64 1 (pow.f64 x 7))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))) |
(/.f64 6 x) |
(-.f64 (*.f64 6 (/.f64 1 x)) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1296 (/.f64 1 (pow.f64 x 7))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))) |
(/.f64 1 x) |
(*.f64 1/6 x) |
(*.f64 1/6 x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 x))) 1) |
(pow.f64 (*.f64 1/6 x) 1) |
(pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3) |
(pow.f64 (*.f64 1/216 (pow.f64 x 3)) 1/3) |
(sqrt.f64 (*.f64 1/36 (*.f64 x x))) |
(log.f64 (pow.f64 (exp.f64 1/6) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 x)))) |
(cbrt.f64 (*.f64 1/216 (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 1/6 x))) |
(exp.f64 (log.f64 (*.f64 1/6 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 x)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 1/6 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))) 1) |
(*.f64 1 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))) |
(*.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) 1) |
(*.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -1/2) (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -2)) (cbrt.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))) |
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 1/6 x (/.f64 1 x))))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2))) (-.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))) (+.f64 (*.f64 1/36 (*.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/6 x) x)))) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) -1) (pow.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) -1)) |
(pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -1) |
(pow.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) 1) |
(pow.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x))) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 x (/.f64 1 x)))) 1) |
(-.f64 (/.f64 (*.f64 1/36 (*.f64 x x)) (-.f64 (*.f64 1/6 x) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (*.f64 1/6 x) (/.f64 1 x)))) |
(*.f64 1 (fma.f64 1/6 x (/.f64 1 x))) |
(*.f64 (fma.f64 1/6 x (/.f64 1 x)) 1) |
(*.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x)))) |
(*.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x)))) |
(*.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)) (/.f64 1 (-.f64 (*.f64 1/6 x) (/.f64 1 x)))) |
(*.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)) (/.f64 1 (+.f64 (*.f64 1/36 (*.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/6 x) x))))) |
(/.f64 1 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 1/6 x) (/.f64 1 x)) (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 1/36 (*.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/6 x) x))) (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)))) |
(/.f64 (fma.f64 1/6 x (/.f64 1 x)) 1) |
(/.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -1/2)) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) (cbrt.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))) |
(/.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (*.f64 1/36 (*.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/6 x) x)))) |
(/.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/36 (*.f64 x x)) (/.f64 (*.f64 1/6 x) x)))) |
(/.f64 (neg.f64 (fma.f64 1/6 x (/.f64 1 x))) -1) |
(/.f64 (neg.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2))) (neg.f64 (-.f64 (*.f64 1/6 x) (/.f64 1 x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))) (neg.f64 (+.f64 (*.f64 1/36 (*.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/6 x) x))))) |
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 1/36 (*.f64 x x))) (-.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 1) |
(pow.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 3) |
(pow.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 2)) |
(log.f64 (exp.f64 (fma.f64 1/6 x (/.f64 1 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 x (/.f64 1 x))))) |
(cbrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 1/6 x (/.f64 1 x)))) |
(exp.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 1/6 x (/.f64 1 x)))) |
(fma.f64 1/6 x (/.f64 1 x)) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(fma.f64 1 (*.f64 1/6 x) (/.f64 1 x)) |
(fma.f64 1 (/.f64 1 x) (*.f64 1/6 x)) |
(fma.f64 (sqrt.f64 (*.f64 1/6 x)) (sqrt.f64 (*.f64 1/6 x)) (/.f64 1 x)) |
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/6 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2) (cbrt.f64 (*.f64 1/6 x)) (/.f64 1 x)) |
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 1/6 x)) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(fma.f64 -1/6 (pow.f64 x 3) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) x)) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/36 (pow.f64 x 5) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/216 (pow.f64 x 7)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/216 (pow.f64 x 7) (fma.f64 1/36 (pow.f64 x 5) x))) |
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/36 (pow.f64 x 5) (fma.f64 -1/216 (pow.f64 x 7) x))) |
(/.f64 6 x) |
(-.f64 (*.f64 6 (/.f64 1 x)) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (/.f64 6 x) (/.f64 36 (pow.f64 x 3))) |
(+.f64 (/.f64 6 x) (/.f64 -36 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 6 x) (-.f64 (/.f64 216 (pow.f64 x 5)) (/.f64 36 (pow.f64 x 3)))) |
(+.f64 (/.f64 6 x) (+.f64 (/.f64 216 (pow.f64 x 5)) (/.f64 -36 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1296 (/.f64 1 (pow.f64 x 7))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (-.f64 (+.f64 (/.f64 6 x) (/.f64 216 (pow.f64 x 5))) (/.f64 1296 (pow.f64 x 7))) (/.f64 36 (pow.f64 x 3))) |
(+.f64 (/.f64 6 x) (-.f64 (/.f64 216 (pow.f64 x 5)) (+.f64 (/.f64 36 (pow.f64 x 3)) (/.f64 1296 (pow.f64 x 7))))) |
(+.f64 (+.f64 (/.f64 216 (pow.f64 x 5)) (-.f64 (/.f64 6 x) (/.f64 1296 (pow.f64 x 7)))) (/.f64 -36 (pow.f64 x 3))) |
(/.f64 6 x) |
(-.f64 (*.f64 6 (/.f64 1 x)) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (/.f64 6 x) (/.f64 36 (pow.f64 x 3))) |
(+.f64 (/.f64 6 x) (/.f64 -36 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (*.f64 36 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 6 x) (-.f64 (/.f64 216 (pow.f64 x 5)) (/.f64 36 (pow.f64 x 3)))) |
(+.f64 (/.f64 6 x) (+.f64 (/.f64 216 (pow.f64 x 5)) (/.f64 -36 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1296 (/.f64 1 (pow.f64 x 7))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (-.f64 (+.f64 (/.f64 6 x) (/.f64 216 (pow.f64 x 5))) (/.f64 1296 (pow.f64 x 7))) (/.f64 36 (pow.f64 x 3))) |
(+.f64 (/.f64 6 x) (-.f64 (/.f64 216 (pow.f64 x 5)) (+.f64 (/.f64 36 (pow.f64 x 3)) (/.f64 1296 (pow.f64 x 7))))) |
(+.f64 (+.f64 (/.f64 216 (pow.f64 x 5)) (-.f64 (/.f64 6 x) (/.f64 1296 (pow.f64 x 7)))) (/.f64 -36 (pow.f64 x 3))) |
(/.f64 1 x) |
(*.f64 1/6 x) |
(*.f64 x 1/6) |
(*.f64 1/6 x) |
(*.f64 x 1/6) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 x))) 1) |
(*.f64 x 1/6) |
(pow.f64 (*.f64 1/6 x) 1) |
(*.f64 x 1/6) |
(pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2) |
(*.f64 x 1/6) |
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3) |
(*.f64 x 1/6) |
(pow.f64 (*.f64 1/216 (pow.f64 x 3)) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/216)) |
(sqrt.f64 (*.f64 1/36 (*.f64 x x))) |
(sqrt.f64 (*.f64 x (*.f64 x 1/36))) |
(log.f64 (pow.f64 (exp.f64 1/6) x)) |
(*.f64 x 1/6) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 x)))) |
(*.f64 x 1/6) |
(cbrt.f64 (*.f64 1/216 (pow.f64 x 3))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/216)) |
(expm1.f64 (log1p.f64 (*.f64 1/6 x))) |
(*.f64 x 1/6) |
(exp.f64 (log.f64 (*.f64 1/6 x))) |
(*.f64 x 1/6) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 x)) 1)) |
(*.f64 x 1/6) |
(log1p.f64 (expm1.f64 (*.f64 1/6 x))) |
(*.f64 x 1/6) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))) 1) |
(/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) |
(*.f64 1 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))) |
(/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) |
(*.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) 1) |
(/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) |
(*.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -1/2) (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -1/2)) |
(/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -2))) |
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (fma.f64 x 1/6 (/.f64 1 x)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -2)) (cbrt.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))) |
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (fma.f64 x 1/6 (/.f64 1 x)) -2))) |
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 1/6 x (/.f64 1 x))))) |
(/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2))) (-.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(*.f64 (/.f64 1 (fma.f64 1/36 (*.f64 x x) (neg.f64 (pow.f64 x -2)))) (-.f64 (*.f64 x 1/6) (/.f64 1 x))) |
(/.f64 (fma.f64 x 1/6 (/.f64 -1 x)) (fma.f64 1/36 (*.f64 x x) (neg.f64 (pow.f64 x -2)))) |
(/.f64 (fma.f64 x 1/6 (/.f64 -1 x)) (-.f64 (*.f64 x (*.f64 x 1/36)) (pow.f64 x -2))) |
(*.f64 (/.f64 1 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))) (+.f64 (*.f64 1/36 (*.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/6 x) x)))) |
(*.f64 (/.f64 1 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3))) (fma.f64 1/36 (*.f64 x x) (-.f64 (pow.f64 x -2) (/.f64 1/6 (/.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 x -2) (fma.f64 1/36 (*.f64 x x) -1/6)) (fma.f64 (pow.f64 x 3) 1/216 (pow.f64 x -3))) |
(/.f64 (+.f64 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/36) -1/6)) (fma.f64 (pow.f64 x 3) 1/216 (pow.f64 x -3))) |
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) -1) (pow.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) -1)) |
(/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) -1)) |
(/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) |
(pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -1) |
(/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) |
(pow.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) 1) |
(/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) |
(pow.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -1/2) 2) |
(/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) |
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))) 3) |
(/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) |
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) 3) 1/3) |
(/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) |
(sqrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -2)) |
(/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) |
(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))) |
(/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))))) |
(/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) |
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) 3)) |
(/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) |
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))) |
(/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) |
(exp.f64 (neg.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x))))) |
(/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x))) -1)) |
(/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x)))) 1)) |
(/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) |
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))) |
(/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 x (/.f64 1 x)))) 1) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(-.f64 (/.f64 (*.f64 1/36 (*.f64 x x)) (-.f64 (*.f64 1/6 x) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (*.f64 1/6 x) (/.f64 1 x)))) |
(/.f64 (fma.f64 1/36 (*.f64 x x) (neg.f64 (pow.f64 x -2))) (-.f64 (*.f64 x 1/6) (/.f64 1 x))) |
(/.f64 (fma.f64 1/36 (*.f64 x x) (neg.f64 (pow.f64 x -2))) (fma.f64 x 1/6 (/.f64 -1 x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/36 (pow.f64 x -2)) (fma.f64 x -1/6 (/.f64 1 x))) |
(*.f64 1 (fma.f64 1/6 x (/.f64 1 x))) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(*.f64 (fma.f64 1/6 x (/.f64 1 x)) 1) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(*.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x)))) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(*.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2)) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x)))) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(*.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)) (/.f64 1 (-.f64 (*.f64 1/6 x) (/.f64 1 x)))) |
(/.f64 (fma.f64 1/36 (*.f64 x x) (neg.f64 (pow.f64 x -2))) (-.f64 (*.f64 x 1/6) (/.f64 1 x))) |
(/.f64 (fma.f64 1/36 (*.f64 x x) (neg.f64 (pow.f64 x -2))) (fma.f64 x 1/6 (/.f64 -1 x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/36 (pow.f64 x -2)) (fma.f64 x -1/6 (/.f64 1 x))) |
(*.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)) (/.f64 1 (+.f64 (*.f64 1/36 (*.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/6 x) x))))) |
(*.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 1/36 (*.f64 x x) (-.f64 (pow.f64 x -2) (/.f64 1/6 (/.f64 x x)))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/36 (*.f64 x x) -1/6))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/36) -1/6))) |
(/.f64 1 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(/.f64 1 (/.f64 (-.f64 (*.f64 1/6 x) (/.f64 1 x)) (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)))) |
(/.f64 (fma.f64 1/36 (*.f64 x x) (neg.f64 (pow.f64 x -2))) (-.f64 (*.f64 x 1/6) (/.f64 1 x))) |
(/.f64 (fma.f64 1/36 (*.f64 x x) (neg.f64 (pow.f64 x -2))) (fma.f64 x 1/6 (/.f64 -1 x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/36 (pow.f64 x -2)) (fma.f64 x -1/6 (/.f64 1 x))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 1/36 (*.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/6 x) x))) (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)))) |
(*.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 1/36 (*.f64 x x) (-.f64 (pow.f64 x -2) (/.f64 1/6 (/.f64 x x)))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/36 (*.f64 x x) -1/6))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/36) -1/6))) |
(/.f64 (fma.f64 1/6 x (/.f64 1 x)) 1) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(/.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -1/2)) |
(/.f64 (sqrt.f64 (fma.f64 x 1/6 (/.f64 1 x))) (pow.f64 (fma.f64 x 1/6 (/.f64 1 x)) -1/2)) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) (cbrt.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/6 (/.f64 1 x))) 2) (cbrt.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))))) |
(/.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 (fma.f64 1/36 (*.f64 x x) (neg.f64 (pow.f64 x -2))) (-.f64 (*.f64 x 1/6) (/.f64 1 x))) |
(/.f64 (fma.f64 1/36 (*.f64 x x) (neg.f64 (pow.f64 x -2))) (fma.f64 x 1/6 (/.f64 -1 x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/36 (pow.f64 x -2)) (fma.f64 x -1/6 (/.f64 1 x))) |
(/.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (*.f64 1/36 (*.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/6 x) x)))) |
(*.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 1/36 (*.f64 x x) (-.f64 (pow.f64 x -2) (/.f64 1/6 (/.f64 x x)))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/36 (*.f64 x x) -1/6))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/36) -1/6))) |
(/.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/36 (*.f64 x x)) (/.f64 (*.f64 1/6 x) x)))) |
(*.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 1/36 (*.f64 x x) (-.f64 (pow.f64 x -2) (/.f64 1/6 (/.f64 x x)))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/36 (*.f64 x x) -1/6))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/36) -1/6))) |
(/.f64 (neg.f64 (fma.f64 1/6 x (/.f64 1 x))) -1) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 x -2))) (neg.f64 (-.f64 (*.f64 1/6 x) (/.f64 1 x)))) |
(/.f64 (fma.f64 1/36 (*.f64 x x) (neg.f64 (pow.f64 x -2))) (-.f64 (*.f64 x 1/6) (/.f64 1 x))) |
(/.f64 (fma.f64 1/36 (*.f64 x x) (neg.f64 (pow.f64 x -2))) (fma.f64 x 1/6 (/.f64 -1 x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/36 (pow.f64 x -2)) (fma.f64 x -1/6 (/.f64 1 x))) |
(/.f64 (neg.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))) (neg.f64 (+.f64 (*.f64 1/36 (*.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/6 x) x))))) |
(*.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 1/36 (*.f64 x x) (-.f64 (pow.f64 x -2) (/.f64 1/6 (/.f64 x x)))))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/36 (*.f64 x x) -1/6))) |
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/36) -1/6))) |
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 1/36 (*.f64 x x))) (-.f64 (/.f64 1 x) (*.f64 1/6 x))) |
(/.f64 (fma.f64 1/36 (*.f64 x x) (neg.f64 (pow.f64 x -2))) (-.f64 (*.f64 x 1/6) (/.f64 1 x))) |
(/.f64 (fma.f64 1/36 (*.f64 x x) (neg.f64 (pow.f64 x -2))) (fma.f64 x 1/6 (/.f64 -1 x))) |
(/.f64 (fma.f64 (*.f64 x x) -1/36 (pow.f64 x -2)) (fma.f64 x -1/6 (/.f64 1 x))) |
(pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 1) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(pow.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 3) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(pow.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3) 1/3) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(sqrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 2)) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(log.f64 (exp.f64 (fma.f64 1/6 x (/.f64 1 x)))) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 x (/.f64 1 x))))) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(cbrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3)) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(expm1.f64 (log1p.f64 (fma.f64 1/6 x (/.f64 1 x)))) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(exp.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x)))) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x))) 1)) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(log1p.f64 (expm1.f64 (fma.f64 1/6 x (/.f64 1 x)))) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(fma.f64 1/6 x (/.f64 1 x)) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(fma.f64 1 (*.f64 1/6 x) (/.f64 1 x)) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(fma.f64 1 (/.f64 1 x) (*.f64 1/6 x)) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(fma.f64 (sqrt.f64 (*.f64 1/6 x)) (sqrt.f64 (*.f64 1/6 x)) (/.f64 1 x)) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/6 x)) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2) (cbrt.f64 (*.f64 1/6 x)) (/.f64 1 x)) |
(fma.f64 x 1/6 (/.f64 1 x)) |
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 1/6 x)) |
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x 1/6)) |
(fma.f64 x 1/6 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x))) |
Compiled 9028 to 4921 computations (45.5% saved)
24 alts after pruning (14 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 628 | 11 | 639 |
| Fresh | 2 | 3 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 9 | 9 |
| Total | 630 | 24 | 654 |
| Status | Error | Program |
|---|---|---|
| ✓ | 14.8b | (/.f64 (/.f64 1 (/.f64 (/.f64 1 y) (sin.f64 x))) y) |
| 47.8b | (/.f64 (/.f64 1 (+.f64 (*.f64 1/6 (/.f64 x y)) (/.f64 1 (*.f64 y x)))) y) | |
| ✓ | 46.5b | (/.f64 (*.f64 x (sinh.f64 y)) y) |
| 61.5b | (/.f64 6 x) | |
| ✓ | 0.5b | (/.f64 1 (/.f64 (+.f64 1 (*.f64 (*.f64 y y) -1/6)) (sin.f64 x))) |
| ✓ | 0.8b | (/.f64 1 (/.f64 1 (sin.f64 x))) |
| ✓ | 34.3b | (/.f64 1 (/.f64 1 x)) |
| ✓ | 33.9b | (/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
| 61.5b | (/.f64 1 (*.f64 x 1/6)) | |
| 61.2b | (-.f64 (+.f64 1 (*.f64 (*.f64 x 1/6) (*.f64 y y))) 1) | |
| 60.7b | (-.f64 (+.f64 1 x) 1) | |
| 34.0b | (+.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) x) x) | |
| 0.7b | (*.f64 (/.f64 (sin.f64 x) y) y) | |
| 34.0b | (*.f64 (+.f64 (+.f64 (*.f64 y (*.f64 1/6 y)) 0) 1) x) | |
| 60.9b | (*.f64 (*.f64 y y) (*.f64 1/6 x)) | |
| ✓ | 0.3b | (*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
| 60.9b | (*.f64 y (*.f64 x (*.f64 1/6 y))) | |
| 61.1b | (*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) 1)) | |
| 61.1b | (*.f64 x (*.f64 (+.f64 1 (-.f64 (*.f64 1/6 y) 1)) y)) | |
| ✓ | 60.9b | (*.f64 x (*.f64 (*.f64 1/6 y) y)) |
| ✓ | 60.9b | (*.f64 1/6 (*.f64 y (*.f64 x y))) |
| 60.9b | (*.f64 1/6 (*.f64 x (*.f64 y y))) | |
| ✓ | 0.6b | (sin.f64 x) |
| 34.2b | x |
Compiled 231 to 171 computations (26% saved)
| Inputs |
|---|
x |
(/.f64 6 x) |
(-.f64 (+.f64 1 x) 1) |
(/.f64 1 (*.f64 x 1/6)) |
(/.f64 1 (/.f64 1 x)) |
(/.f64 (*.f64 x y) y) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 y (*.f64 x y))) |
(*.f64 x (*.f64 1/6 (*.f64 y y))) |
(*.f64 x (*.f64 (*.f64 1/6 y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) x) |
(+.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) x) x) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(*.f64 x (*.f64 (+.f64 1 (-.f64 (*.f64 1/6 y) 1)) y)) |
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) 1)) |
(*.f64 (+.f64 (+.f64 (*.f64 y (*.f64 1/6 y)) 0) 1) x) |
(-.f64 (+.f64 1 (*.f64 (*.f64 x 1/6) (*.f64 y y))) 1) |
(/.f64 (/.f64 1 (+.f64 (*.f64 1/6 (/.f64 x y)) (/.f64 1 (*.f64 y x)))) y) |
(sin.f64 x) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 x) y) y) |
(/.f64 1 (/.f64 1 (sin.f64 x))) |
(/.f64 (*.f64 x (sinh.f64 y)) y) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
(/.f64 (/.f64 1 (/.f64 (/.f64 1 y) (sin.f64 x))) y) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (*.f64 y y) -1/6)) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) |
(/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))) |
(/.f64 (/.f64 1 (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x))) y) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y (*.f64 (sinh.f64 y) (sqrt.f64 (sin.f64 x))))) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
5 calls:
| 29.0ms | x |
| 16.0ms | (sin.f64 x) |
| 15.0ms | y |
| 15.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 3.0ms | (/.f64 (sinh.f64 y) y) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 0.0b | 1 | (sin.f64 x) |
| 0.0b | 1 | (/.f64 (sinh.f64 y) y) |
Compiled 283 to 159 computations (43.8% saved)
| Inputs |
|---|
x |
(/.f64 6 x) |
(-.f64 (+.f64 1 x) 1) |
(/.f64 1 (*.f64 x 1/6)) |
(/.f64 1 (/.f64 1 x)) |
(/.f64 (*.f64 x y) y) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 y (*.f64 x y))) |
(*.f64 x (*.f64 1/6 (*.f64 y y))) |
(*.f64 x (*.f64 (*.f64 1/6 y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) x) |
(+.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) x) x) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(*.f64 x (*.f64 (+.f64 1 (-.f64 (*.f64 1/6 y) 1)) y)) |
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) 1)) |
(*.f64 (+.f64 (+.f64 (*.f64 y (*.f64 1/6 y)) 0) 1) x) |
(-.f64 (+.f64 1 (*.f64 (*.f64 x 1/6) (*.f64 y y))) 1) |
(/.f64 (/.f64 1 (+.f64 (*.f64 1/6 (/.f64 x y)) (/.f64 1 (*.f64 y x)))) y) |
(sin.f64 x) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 x) y) y) |
(/.f64 1 (/.f64 1 (sin.f64 x))) |
(/.f64 (*.f64 x (sinh.f64 y)) y) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
(/.f64 (/.f64 1 (/.f64 (/.f64 1 y) (sin.f64 x))) y) |
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (*.f64 y y) -1/6)) (sin.f64 x))) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
4 calls:
| 48.0ms | y |
| 16.0ms | x |
| 13.0ms | (sin.f64 x) |
| 3.0ms | (/.f64 (sinh.f64 y) y) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | y |
| 0.3b | 1 | (sin.f64 x) |
| 0.3b | 1 | (/.f64 (sinh.f64 y) y) |
Compiled 228 to 136 computations (40.4% saved)
| Inputs |
|---|
x |
(/.f64 6 x) |
(-.f64 (+.f64 1 x) 1) |
(/.f64 1 (*.f64 x 1/6)) |
(/.f64 1 (/.f64 1 x)) |
(/.f64 (*.f64 x y) y) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 y (*.f64 x y))) |
(*.f64 x (*.f64 1/6 (*.f64 y y))) |
(*.f64 x (*.f64 (*.f64 1/6 y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) x) |
(+.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) x) x) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(*.f64 x (*.f64 (+.f64 1 (-.f64 (*.f64 1/6 y) 1)) y)) |
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) 1)) |
(*.f64 (+.f64 (+.f64 (*.f64 y (*.f64 1/6 y)) 0) 1) x) |
(-.f64 (+.f64 1 (*.f64 (*.f64 x 1/6) (*.f64 y y))) 1) |
(/.f64 (/.f64 1 (+.f64 (*.f64 1/6 (/.f64 x y)) (/.f64 1 (*.f64 y x)))) y) |
(sin.f64 x) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 x) y) y) |
(/.f64 1 (/.f64 1 (sin.f64 x))) |
(/.f64 (*.f64 x (sinh.f64 y)) y) |
| Outputs |
|---|
(sin.f64 x) |
4 calls:
| 58.0ms | x |
| 44.0ms | (/.f64 (sinh.f64 y) y) |
| 13.0ms | (sin.f64 x) |
| 11.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 1 | x |
| 0.6b | 1 | y |
| 0.6b | 1 | (sin.f64 x) |
| 0.6b | 1 | (/.f64 (sinh.f64 y) y) |
Compiled 196 to 118 computations (39.8% saved)
| Inputs |
|---|
x |
(/.f64 6 x) |
(-.f64 (+.f64 1 x) 1) |
(/.f64 1 (*.f64 x 1/6)) |
(/.f64 1 (/.f64 1 x)) |
(/.f64 (*.f64 x y) y) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 y (*.f64 x y))) |
(*.f64 x (*.f64 1/6 (*.f64 y y))) |
(*.f64 x (*.f64 (*.f64 1/6 y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) x) |
(+.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) x) x) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(*.f64 x (*.f64 (+.f64 1 (-.f64 (*.f64 1/6 y) 1)) y)) |
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 (*.f64 y y))) 1)) |
(*.f64 (+.f64 (+.f64 (*.f64 y (*.f64 1/6 y)) 0) 1) x) |
(-.f64 (+.f64 1 (*.f64 (*.f64 x 1/6) (*.f64 y y))) 1) |
(/.f64 (/.f64 1 (+.f64 (*.f64 1/6 (/.f64 x y)) (/.f64 1 (*.f64 y x)))) y) |
| Outputs |
|---|
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
2 calls:
| 34.0ms | x |
| 9.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 33.9b | 1 | x |
| 33.9b | 1 | y |
Compiled 160 to 99 computations (38.1% saved)
| Inputs |
|---|
x |
(/.f64 6 x) |
(-.f64 (+.f64 1 x) 1) |
(/.f64 1 (*.f64 x 1/6)) |
(/.f64 1 (/.f64 1 x)) |
(/.f64 (*.f64 x y) y) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 y (*.f64 x y))) |
(*.f64 x (*.f64 1/6 (*.f64 y y))) |
(*.f64 x (*.f64 (*.f64 1/6 y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) x) |
(+.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) x) x) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) x) x) |
2 calls:
| 8.0ms | y |
| 7.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 34.0b | 1 | x |
| 34.0b | 1 | y |
Compiled 92 to 52 computations (43.5% saved)
| Inputs |
|---|
x |
(/.f64 6 x) |
(-.f64 (+.f64 1 x) 1) |
(/.f64 1 (*.f64 x 1/6)) |
(/.f64 1 (/.f64 1 x)) |
(/.f64 (*.f64 x y) y) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 y (*.f64 x y))) |
(*.f64 x (*.f64 1/6 (*.f64 y y))) |
(*.f64 x (*.f64 (*.f64 1/6 y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) x) |
| Outputs |
|---|
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) x) |
2 calls:
| 7.0ms | y |
| 7.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 34.0b | 1 | x |
| 34.0b | 1 | y |
Compiled 83 to 48 computations (42.2% saved)
Total -28.1b remaining (-82.3%)
Threshold costs -28.1b (-82.3%)
| Inputs |
|---|
x |
(/.f64 6 x) |
(-.f64 (+.f64 1 x) 1) |
(/.f64 1 (*.f64 x 1/6)) |
(/.f64 1 (/.f64 1 x)) |
(/.f64 (*.f64 x y) y) |
(*.f64 1/6 (*.f64 x (*.f64 y y))) |
(*.f64 1/6 (*.f64 y (*.f64 x y))) |
(*.f64 x (*.f64 1/6 (*.f64 y y))) |
(*.f64 x (*.f64 (*.f64 1/6 y) y)) |
(*.f64 y (*.f64 x (*.f64 1/6 y))) |
(*.f64 (*.f64 y y) (*.f64 1/6 x)) |
| Outputs |
|---|
x |
2 calls:
| 30.0ms | y |
| 6.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 34.2b | 1 | x |
| 34.2b | 1 | y |
Compiled 74 to 43 computations (41.9% saved)
| 1× | egg-herbie |
| 12× | *-commutative |
| 6× | +-commutative |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 131 |
| 1 | 34 | 131 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
(sin.f64 x) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(+.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) x) x) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) x) |
x |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 x) (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
(sin.f64 x) |
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x))) |
(/.f64 1 (+.f64 (*.f64 x 1/6) (/.f64 1 x))) |
(+.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) x) x) |
(+.f64 x (*.f64 x (*.f64 1/6 (*.f64 y y)))) |
(*.f64 (+.f64 (*.f64 1/6 (*.f64 y y)) 1) x) |
(*.f64 x (+.f64 1 (*.f64 1/6 (*.f64 y y)))) |
x |
Compiled 61 to 44 computations (27.9% saved)
Compiled 49 to 28 computations (42.9% saved)
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