Time bar (total: 5.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 6 |
| 48.3% | 43.7% | 46.8% | 0.1% | 9.4% | 0% | 0% | 7 |
| 52.6% | 46.8% | 42.1% | 0.1% | 10.9% | 0% | 0% | 8 |
| 56.1% | 46.8% | 36.7% | 0.1% | 16.4% | 0% | 0% | 9 |
| 58.8% | 48.4% | 34% | 0.1% | 17.6% | 0% | 0% | 10 |
| 60.9% | 48.4% | 31% | 0.1% | 20.5% | 0% | 0% | 11 |
| 62.5% | 49.2% | 29.6% | 0.1% | 21.2% | 0% | 0% | 12 |
Compiled 10 to 7 computations (30% saved)
| 942.0ms | 6926× | body | 256 | valid |
| 692.0ms | 2051× | body | 1024 | infinite |
| 241.0ms | 627× | body | 1024 | valid |
| 223.0ms | 982× | body | 512 | infinite |
| 209.0ms | 1610× | body | 256 | infinite |
| 166.0ms | 702× | body | 512 | valid |
| 1.0ms | 1× | body | 2048 | valid |
| 2× | egg-herbie |
| 948× | fma-def_binary64 |
| 671× | div-sub_binary64 |
| 530× | associate-/r*_binary64 |
| 507× | associate-*l/_binary64 |
| 391× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 22 |
| 1 | 28 | 22 |
| 2 | 67 | 22 |
| 3 | 148 | 22 |
| 4 | 344 | 22 |
| 5 | 920 | 22 |
| 6 | 2905 | 22 |
| 7 | 7648 | 22 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 y) (sinh.f64 x)) y) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (sin.f64 y) (sinh.f64 x)) y) |
(/.f64 (sin.f64 y) (/.f64 y (sinh.f64 x))) |
(*.f64 (/.f64 (sin.f64 y) y) (sinh.f64 x)) |
(*.f64 (sinh.f64 x) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (sinh.f64 x) y)) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 835× | fma-neg_binary64 |
| 544× | times-frac_binary64 |
| 474× | fma-def_binary64 |
| 463× | associate-/l*_binary64 |
| 344× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 16 | 11 |
| 2 | 37 | 11 |
| 3 | 79 | 11 |
| 4 | 178 | 11 |
| 5 | 473 | 11 |
| 6 | 1474 | 11 |
| 7 | 5818 | 11 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
Compiled 30 to 11 computations (63.3% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 3 | 4 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 4 | 5 |
| Status | Error | Program |
|---|---|---|
| ▶ | 14.1b | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| ▶ | 0.1b | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| ▶ | 0.1b | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
Compiled 27 to 18 computations (33.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (sinh.f64 y) x) |
| ✓ | 0.0b | (sinh.f64 y) |
| ✓ | 0.2b | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
Compiled 19 to 6 computations (68.4% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | 0 | (/.f64 (sinh.f64 y) x) |
| 3.0ms | y | @ | inf | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
| 3.0ms | x | @ | 0 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
| 3.0ms | x | @ | inf | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
| 3.0ms | y | @ | -inf | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
Compiled 1006 to 714 computations (29% saved)
| 1× | batch-egg-rewrite |
| 835× | pow1_binary64 |
| 773× | add-log-exp_binary64 |
| 772× | log1p-expm1-u_binary64 |
| 772× | expm1-log1p-u_binary64 |
| 755× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 149 | 20 |
| 2 | 2027 | 20 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(sinh.f64 y) |
(/.f64 (sinh.f64 y) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (sinh.f64 y) x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sinh.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sinh.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (sinh.f64 y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sinh.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sinh.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sinh.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sinh.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sinh.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sinh.f64 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sinh.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sinh.f64 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sinh.f64 y) x))))))) |
| 1× | egg-herbie |
| 567× | fma-def_binary64 |
| 338× | associate-/r/_binary64 |
| 308× | log-prod_binary64 |
| 280× | associate-/l/_binary64 |
| 196× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 232 | 2135 |
| 1 | 559 | 1908 |
| 2 | 2500 | 1647 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 7)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
y |
(+.f64 y (*.f64 1/6 (pow.f64 y 3))) |
(+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))) |
(+.f64 (*.f64 1/5040 (pow.f64 y 7)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (*.f64 1/6 (/.f64 (pow.f64 y 3) x))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 3) x)) (*.f64 1/120 (/.f64 (pow.f64 y 5) x)))) |
(+.f64 (*.f64 1/5040 (/.f64 (pow.f64 y 7) x)) (+.f64 (/.f64 y x) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 3) x)) (*.f64 1/120 (/.f64 (pow.f64 y 5) x))))) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(-.f64 (+.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 1) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1) x) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (neg.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 x)) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 (sinh.f64 y) x)) (sin.f64 x))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 (sinh.f64 y) x) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(-.f64 (+.f64 1 (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 (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 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y))) |
(*.f64 (*.f64 2 (sinh.f64 y)) 1/2) |
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y)))) |
(/.f64 (*.f64 2 (sinh.f64 y)) 2) |
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 y))) -2) |
(pow.f64 (sinh.f64 y) 1) |
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3) |
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3) |
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2) |
(sqrt.f64 (pow.f64 (sinh.f64 y) 2)) |
(log.f64 (exp.f64 (sinh.f64 y))) |
(cbrt.f64 (pow.f64 (sinh.f64 y) 3)) |
(expm1.f64 (log1p.f64 (sinh.f64 y))) |
(log1p.f64 (expm1.f64 (sinh.f64 y))) |
(exp.f64 (log.f64 (sinh.f64 y))) |
(-.f64 (+.f64 1 (/.f64 (sinh.f64 y) x)) 1) |
(*.f64 (sinh.f64 y) (/.f64 1 x)) |
(*.f64 (/.f64 (sinh.f64 y) x) 1) |
(*.f64 1 (/.f64 (sinh.f64 y) x)) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) x))) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (/.f64 (sinh.f64 y) x))) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 x))) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 1 x) (sinh.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) x)) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) x))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 x))) |
(pow.f64 (/.f64 (sinh.f64 y) x) 1) |
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2) |
(pow.f64 (/.f64 x (sinh.f64 y)) -1) |
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 2)) |
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) x))) |
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) x))) |
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) x))) |
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) x))) |
| Outputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/12))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 -1/12 (*.f64 x x)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/12) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 -1/12 (*.f64 x x)) (*.f64 1/240 (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240))))) |
(+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 -1/12 (*.f64 x x)))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 1/240 (pow.f64 x 4)) (*.f64 -1/10080 (pow.f64 x 6))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 1/2 x) (*.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)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 1/2 x) (*.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)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 1/2 x) (*.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)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 1/2 x) (*.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)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 1/2 x) (*.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)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 1/2 x) (*.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)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 1/2 x) (*.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)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 1/2 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(fma.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 3)) x) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(fma.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 3)) x) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 7)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(fma.f64 1/6 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 3)) x) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (fma.f64 1/5040 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 7))) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (fma.f64 1/5040 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 7))) (*.f64 (/.f64 y x) (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (fma.f64 1/5040 (*.f64 (/.f64 (pow.f64 y 7) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 1/2 x) (*.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)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 1/2 x) (*.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)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (/.f64 1/2 x) (*.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)))) x)) |
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(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) -1) |
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3) (pow.f64 (sin.f64 x) 3))) |
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) -1) |
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) -1) |
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) -1) |
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) -1) |
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(-.f64 (+.f64 1 (sinh.f64 y)) 1) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(-.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2)) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(*.f64 (sinh.f64 y) 1) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(*.f64 1 (sinh.f64 y)) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y))) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y))) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(*.f64 (*.f64 2 (sinh.f64 y)) 1/2) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y)))) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(/.f64 (*.f64 2 (sinh.f64 y)) 2) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 y))) -2) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(pow.f64 (sinh.f64 y) 1) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(sqrt.f64 (pow.f64 (sinh.f64 y) 2)) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(log.f64 (exp.f64 (sinh.f64 y))) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(cbrt.f64 (pow.f64 (sinh.f64 y) 3)) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(expm1.f64 (log1p.f64 (sinh.f64 y))) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(log1p.f64 (expm1.f64 (sinh.f64 y))) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(exp.f64 (log.f64 (sinh.f64 y))) |
(+.f64 1 (-.f64 (sinh.f64 y) 1)) |
(+.f64 (sinh.f64 y) 0) |
(sinh.f64 y) |
(-.f64 (+.f64 1 (/.f64 (sinh.f64 y) x)) 1) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (sinh.f64 y) (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 (sinh.f64 y) x) 1) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(*.f64 1 (/.f64 (sinh.f64 y) x)) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2)) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) x))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (*.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 x))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (/.f64 (sinh.f64 y) x))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (sqrt.f64 (sinh.f64 y)) (*.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 x))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 x))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 1 x) (sinh.f64 y)) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) x)) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) x)) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) x))) |
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 x))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 x))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(pow.f64 (/.f64 (sinh.f64 y) x) 1) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3) 1/3) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) 3) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) 2) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(pow.f64 (/.f64 x (sinh.f64 y)) -1) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 x))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 2)) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) x))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) x) 3)) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 x 3))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) x))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) x))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) x))) |
(+.f64 1 (-.f64 (/.f64 (sinh.f64 y) x) 1)) |
(+.f64 (/.f64 (sinh.f64 y) x) 0) |
(/.f64 (sinh.f64 y) x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.1b | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| ✓ | 0.1b | (/.f64 (sin.f64 x) x) |
Compiled 19 to 6 computations (68.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (/.f64 (sin.f64 x) x) |
| 2.0ms | x | @ | 0 | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| 2.0ms | y | @ | inf | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| 2.0ms | y | @ | -inf | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| 2.0ms | x | @ | inf | (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
Compiled 614 to 434 computations (29.3% saved)
| 1× | batch-egg-rewrite |
| 843× | pow1_binary64 |
| 781× | add-log-exp_binary64 |
| 780× | log1p-expm1-u_binary64 |
| 780× | expm1-log1p-u_binary64 |
| 763× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 149 | 17 |
| 2 | 2040 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) x) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 x) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 2 (sinh.f64 y))) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 2 (sinh.f64 y))) (*.f64 (neg.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (sin.f64 x)) (*.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) 1) (*.f64 2 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (neg.f64 (sin.f64 x))) (*.f64 2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 2 (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (sinh.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))))))))) |
| 1× | egg-herbie |
| 648× | associate-/r*_binary64 |
| 493× | fma-def_binary64 |
| 389× | associate-/l/_binary64 |
| 387× | unswap-sqr_binary64 |
| 345× | associate-/r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 213 | 1717 |
| 1 | 568 | 1625 |
| 2 | 2114 | 1025 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 7)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1) |
(*.f64 (sin.f64 x) (/.f64 1 x)) |
(*.f64 (/.f64 (sin.f64 x) x) 1) |
(*.f64 1 (/.f64 (sin.f64 x) x)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 1 x) (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x))) |
(pow.f64 (/.f64 (sin.f64 x) x) 1) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2) |
(pow.f64 (/.f64 x (sin.f64 x)) -1) |
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2)) |
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x))) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x))) |
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x))) |
(-.f64 (+.f64 1 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))) 1) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 (*.f64 2 (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) 2)) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 2 (sinh.f64 y))) (*.f64 x 2)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 2 (sinh.f64 y))) (*.f64 (neg.f64 x) 2)) |
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (sin.f64 x)) (*.f64 2 x)) |
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) 1) (*.f64 2 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (neg.f64 (sin.f64 x))) (*.f64 2 (neg.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1) x) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) 2) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 2 (sinh.f64 y))) 2) |
(/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(pow.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) 1) |
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))) 2) |
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) 2)) |
(log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (sinh.f64 y) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))))) |
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))))) |
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 x x))) |
(fma.f64 -1/6 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 (fma.f64 -1/6 (*.f64 x x) 1) (*.f64 1/120 (pow.f64 x 4))) |
(fma.f64 -1/6 (*.f64 x x) (fma.f64 1/120 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/12))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 -1/12 (*.f64 x x)) 1/2)) |
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(+.f64 (/.f64 (sin.f64 x) x) 0) |
(/.f64 (sin.f64 x) x) |
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) |
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) x) 1)) |
(+.f64 (/.f64 (sin.f64 x) x) 0) |
(/.f64 (sin.f64 x) x) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x))) |
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) x) 1)) |
(+.f64 (/.f64 (sin.f64 x) x) 0) |
(/.f64 (sin.f64 x) x) |
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x))) |
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) x) 1)) |
(+.f64 (/.f64 (sin.f64 x) x) 0) |
(/.f64 (sin.f64 x) x) |
(-.f64 (+.f64 1 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))) 1) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 2 (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) 2)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 2 (sinh.f64 y))) (*.f64 x 2)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 2 (sinh.f64 y))) (*.f64 (neg.f64 x) 2)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (sin.f64 x)) (*.f64 2 x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) 1) (*.f64 2 (/.f64 x (sin.f64 x)))) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (neg.f64 (sin.f64 x))) (*.f64 2 (neg.f64 x))) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1) x) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (sinh.f64 y)) (neg.f64 x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) 2) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 2 (sinh.f64 y))) 2) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(pow.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) 1) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) 3) 1/3) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))) 3) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))) 2) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) 2)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) 3)) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (sinh.f64 y) 3))) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3))) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))))) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))))) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))))) |
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.1b | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| ✓ | 14.1b | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 20 to 6 computations (70% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 2.0ms | y | @ | -inf | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 2.0ms | x | @ | 0 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 2.0ms | x | @ | -inf | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 2.0ms | x | @ | inf | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 968 to 674 computations (30.4% saved)
| 1× | batch-egg-rewrite |
| 864× | pow1_binary64 |
| 802× | add-log-exp_binary64 |
| 801× | log1p-expm1-u_binary64 |
| 801× | expm1-log1p-u_binary64 |
| 784× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 149 | 19 |
| 2 | 2081 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 2 (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sinh.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))))) |
| 1× | egg-herbie |
| 627× | fma-def_binary64 |
| 417× | *-commutative_binary64 |
| 398× | fma-neg_binary64 |
| 382× | associate-/r*_binary64 |
| 361× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 216 | 2134 |
| 1 | 587 | 1963 |
| 2 | 2220 | 1728 |
| 3 | 7983 | 1728 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 7)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)) |
(+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) |
(+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (*.f64 1/240 (*.f64 (pow.f64 x 5) (-.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 (*.f64 1/240 (*.f64 (pow.f64 x 5) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (*.f64 -1/10080 (*.f64 (pow.f64 x 7) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.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 (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 1) |
(*.f64 (sin.f64 x) (/.f64 1 (/.f64 x (sinh.f64 y)))) |
(*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 1 x))) |
(*.f64 (sinh.f64 y) (*.f64 (sin.f64 x) (/.f64 1 x))) |
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 1) |
(*.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) |
(*.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 1 x) (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sinh.f64 y) 1) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) x)) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x))) |
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 x))) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 1) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 3) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) -1) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) |
(-.f64 (+.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) 1) |
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (sin.f64 x)) 2) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 2 (sinh.f64 y))) 2) |
(pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 3) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 2)) |
(log.f64 (pow.f64 (exp.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 (sinh.f64 y) 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) |
| Outputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12))) |
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(+.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 0) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
Compiled 6954 to 2930 computations (57.9% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 444 | 7 | 451 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 0 | 2 |
| Total | 447 | 7 | 454 |
| Status | Error | Program |
|---|---|---|
| 14.8b | (/.f64 (*.f64 (sin.f64 x) y) x) | |
| 0.8b | (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) | |
| ▶ | 0.8b | (/.f64 y (/.f64 x (sin.f64 x))) |
| ▶ | 0.7b | (*.f64 (/.f64 (sin.f64 x) x) y) |
| ▶ | 0.8b | (*.f64 (/.f64 y x) (sin.f64 x)) |
| ▶ | 0.2b | (*.f64 (*.f64 (/.f64 1 x) (sin.f64 x)) (sinh.f64 y)) |
| ▶ | 31.2b | (*.f64 1 (sinh.f64 y)) |
Compiled 116 to 78 computations (32.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.1b | (*.f64 (*.f64 (/.f64 1 x) (sin.f64 x)) (sinh.f64 y)) |
| ✓ | 0.3b | (*.f64 (/.f64 1 x) (sin.f64 x)) |
Compiled 27 to 14 computations (48.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (*.f64 (*.f64 (/.f64 1 x) (sin.f64 x)) (sinh.f64 y)) |
| 2.0ms | x | @ | 0 | (*.f64 (*.f64 (/.f64 1 x) (sin.f64 x)) (sinh.f64 y)) |
| 2.0ms | y | @ | inf | (*.f64 (*.f64 (/.f64 1 x) (sin.f64 x)) (sinh.f64 y)) |
| 2.0ms | x | @ | inf | (*.f64 (*.f64 (/.f64 1 x) (sin.f64 x)) (sinh.f64 y)) |
| 2.0ms | y | @ | -inf | (*.f64 (*.f64 (/.f64 1 x) (sin.f64 x)) (sinh.f64 y)) |
Compiled 614 to 434 computations (29.3% saved)
| 1× | batch-egg-rewrite |
| 901× | pow1_binary64 |
| 831× | add-log-exp_binary64 |
| 829× | log1p-expm1-u_binary64 |
| 829× | expm1-log1p-u_binary64 |
| 812× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 183 | 17 |
| 2 | 2272 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 x) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 1 x) (sin.f64 x)) (sinh.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (sin.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (/.f64 (pow.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 x) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 2 (sinh.f64 y))) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (sin.f64 x)) (*.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 2 (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (sinh.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))))))) |
| 1× | egg-herbie |
| 673× | times-frac_binary64 |
| 543× | associate-*l/_binary64 |
| 469× | associate-*r/_binary64 |
| 394× | associate-/l*_binary64 |
| 355× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 173 | 1195 |
| 1 | 432 | 1136 |
| 2 | 1565 | 973 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 7)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1) |
(/.f64 1 (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) x) |
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) 1) x) |
(/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (*.f64 -1 (sin.f64 x)) (neg.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) -1) (neg.f64 x)) |
(pow.f64 (/.f64 (sin.f64 x) x) 1) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2) |
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2)) |
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x))) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (sin.f64 x) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (/.f64 (pow.f64 x -2) x))) |
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x))) |
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x))) |
(-.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 1) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 2 (sinh.f64 y))) (*.f64 x 2)) |
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (sin.f64 x)) (*.f64 2 x)) |
(/.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) 2) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 2 (sinh.f64 y))) 2) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 1) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 3) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))) 2) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 2)) |
(log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (sinh.f64 y) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 x x))) |
(fma.f64 -1/6 (*.f64 x x) 1) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (*.f64 1/120 (pow.f64 x 4)))) |
(+.f64 (fma.f64 -1/6 (*.f64 x x) 1) (*.f64 1/120 (pow.f64 x 4))) |
(fma.f64 -1/6 (*.f64 x x) (fma.f64 1/120 (pow.f64 x 4) 1)) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))))) |
(+.f64 (fma.f64 -1/6 (*.f64 x x) 1) (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6)))) |
(+.f64 1 (fma.f64 1/120 (pow.f64 x 4) (fma.f64 -1/6 (*.f64 x x) (*.f64 -1/5040 (pow.f64 x 6))))) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(/.f64 (sin.f64 x) x) |
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 -1/12 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 x x))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/12))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 -1/12 (*.f64 x x)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 1/240 (*.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/12)))) |
(fma.f64 (*.f64 x x) (fma.f64 (exp.f64 y) -1/12 (/.f64 1/12 (exp.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 (pow.f64 x 4) 1/240) 1/2))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
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(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 1)) |
(+.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 0) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 1)) |
(+.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 0) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 1)) |
(+.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 0) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 1)) |
(+.f64 (*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) 0) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (sinh.f64 y) |
Compiled 10 to 6 computations (40% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 y x) (sin.f64 x)) |
Compiled 15 to 5 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 y x) (sin.f64 x)) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 y x) (sin.f64 x)) |
| 1.0ms | y | @ | inf | (*.f64 (/.f64 y x) (sin.f64 x)) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 y x) (sin.f64 x)) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 y x) (sin.f64 x)) |
Compiled 244 to 168 computations (31.1% saved)
| 1× | batch-egg-rewrite |
| 690× | pow1_binary64 |
| 637× | add-log-exp_binary64 |
| 637× | log1p-expm1-u_binary64 |
| 637× | expm1-log1p-u_binary64 |
| 622× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 125 | 9 |
| 2 | 1685 | 9 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 y x) (sin.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 y x) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (sin.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (sin.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (sin.f64 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (sin.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 y x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x)))))))) |
| 1× | egg-herbie |
| 689× | log-prod_binary64 |
| 680× | fma-def_binary64 |
| 464× | associate-*l*_binary64 |
| 441× | associate-*r*_binary64 |
| 291× | log-div_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 457 |
| 1 | 198 | 451 |
| 2 | 671 | 451 |
| 3 | 4328 | 445 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(-.f64 (+.f64 1 (*.f64 (/.f64 y x) (sin.f64 x))) 1) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 1 (/.f64 x (*.f64 y (sin.f64 x)))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (neg.f64 (*.f64 y (sin.f64 x))) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 y (sin.f64 x)) 1) x) |
(/.f64 (/.f64 (*.f64 y (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (*.f64 (neg.f64 y) (sin.f64 x)) (neg.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 x)) |
(pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1) |
(pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 y x)) (sin.f64 x))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) 3) (pow.f64 (sin.f64 x) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 y x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
| Outputs |
|---|
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) |
(fma.f64 -1/6 (*.f64 x (*.f64 y x)) y) |
(*.f64 (fma.f64 x (*.f64 x -1/6) 1) y) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 x (*.f64 y x)) y)) |
(fma.f64 y (fma.f64 x (*.f64 x -1/6) (*.f64 1/120 (pow.f64 x 4))) y) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 y (*.f64 -1/5040 (pow.f64 x 6)) (fma.f64 -1/6 (*.f64 x (*.f64 y x)) y))) |
(fma.f64 y (*.f64 -1/6 (*.f64 x x)) (fma.f64 y (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6))) y)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(-.f64 (+.f64 1 (*.f64 (/.f64 y x) (sin.f64 x))) 1) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 1 (/.f64 x (*.f64 y (sin.f64 x)))) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (neg.f64 (*.f64 y (sin.f64 x))) (neg.f64 x)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 y (sin.f64 x)) 1) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 y (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 y (sin.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 (neg.f64 y) (sin.f64 x)) (neg.f64 x)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 x)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 1) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3) 1/3) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 3) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) (sin.f64 x))) 2) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 2)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 y x)) (sin.f64 x))) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) (sin.f64 x)) 3)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) 3) (pow.f64 (sin.f64 x) 3))) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 y x) 3))) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (log.f64 (*.f64 (/.f64 y x) (sin.f64 x)))) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 (sin.f64 x) x) y) |
| 0.1b | (/.f64 (sin.f64 x) x) |
Compiled 16 to 5 computations (68.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (/.f64 (sin.f64 x) x) y) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (sin.f64 x) x) y) |
| 1.0ms | y | @ | -inf | (*.f64 (/.f64 (sin.f64 x) x) y) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 (sin.f64 x) x) y) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 (sin.f64 x) x) y) |
Compiled 244 to 168 computations (31.1% saved)
| 1× | batch-egg-rewrite |
| 690× | pow1_binary64 |
| 637× | add-log-exp_binary64 |
| 637× | log1p-expm1-u_binary64 |
| 637× | expm1-log1p-u_binary64 |
| 622× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 125 | 9 |
| 2 | 1685 | 9 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 x) y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 (sin.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 (sin.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y))))))) |
| 1× | egg-herbie |
| 758× | log-prod_binary64 |
| 690× | fma-def_binary64 |
| 527× | associate-*l*_binary64 |
| 471× | associate-*r*_binary64 |
| 315× | log-div_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 457 |
| 1 | 199 | 451 |
| 2 | 696 | 451 |
| 3 | 4634 | 445 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(-.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) y)) 1) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) y))) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) y)) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) 1) x) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 x)) |
(/.f64 (*.f64 y (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 3) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 y 3))) |
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 (sin.f64 x) x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))) |
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) |
(fma.f64 y (*.f64 x (*.f64 x -1/6)) y) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 y (*.f64 x (*.f64 x -1/6)) y)) |
(fma.f64 y (fma.f64 -1/6 (*.f64 x x) (*.f64 1/120 (pow.f64 x 4))) y) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 -1/6 (*.f64 y (*.f64 x x)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 y (*.f64 -1/5040 (pow.f64 x 6)) (fma.f64 y (*.f64 x (*.f64 x -1/6)) y))) |
(fma.f64 y (*.f64 x (*.f64 x -1/6)) (fma.f64 y (fma.f64 -1/5040 (pow.f64 x 6) (*.f64 1/120 (pow.f64 x 4))) y)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(-.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) y)) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) y)) (neg.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) 1) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) y) (neg.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3) 1/3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 y 3))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 (sin.f64 x) x) 3))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 y (/.f64 x (sin.f64 x))) |
| ✓ | 0.1b | (/.f64 x (sin.f64 x)) |
Compiled 16 to 5 computations (68.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 x (sin.f64 x)) |
| 1.0ms | x | @ | 0 | (/.f64 x (sin.f64 x)) |
| 1.0ms | x | @ | -inf | (/.f64 x (sin.f64 x)) |
| 1.0ms | x | @ | 0 | (/.f64 y (/.f64 x (sin.f64 x))) |
| 1.0ms | y | @ | -inf | (/.f64 y (/.f64 x (sin.f64 x))) |
Compiled 352 to 254 computations (27.8% saved)
| 1× | batch-egg-rewrite |
| 788× | pow1_binary64 |
| 732× | add-log-exp_binary64 |
| 732× | log1p-expm1-u_binary64 |
| 732× | expm1-log1p-u_binary64 |
| 715× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 131 | 15 |
| 2 | 1925 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (sin.f64 x)) |
(/.f64 y (/.f64 x (sin.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (sin.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (sin.f64 x)) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 (neg.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x (sin.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))))) |
| 1× | egg-herbie |
| 682× | fma-neg_binary64 |
| 537× | unswap-sqr_binary64 |
| 440× | fma-def_binary64 |
| 329× | associate-/r/_binary64 |
| 276× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 200 | 1076 |
| 1 | 507 | 978 |
| 2 | 1793 | 888 |
| 3 | 7390 | 888 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(-.f64 (+.f64 1 (/.f64 x (sin.f64 x))) 1) |
(*.f64 x (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 x (sin.f64 x)) 1) |
(*.f64 1 (/.f64 x (sin.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 x)))) |
(*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x)))) |
(pow.f64 (/.f64 x (sin.f64 x)) 1) |
(pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3) |
(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2) |
(pow.f64 (/.f64 (sin.f64 x) x) -1) |
(neg.f64 (/.f64 x (neg.f64 (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 x (sin.f64 x)))) |
(cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x)))) |
(exp.f64 (log.f64 (/.f64 x (sin.f64 x)))) |
(-.f64 (+.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) 1) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 y x) 1) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 y x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) |
(pow.f64 (/.f64 (/.f64 x (sin.f64 x)) y) -1) |
(neg.f64 (/.f64 y (/.f64 (neg.f64 x) (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x (sin.f64 x)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(fma.f64 1/6 (*.f64 x x) 1) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) 1)) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6))))) |
(fma.f64 7/360 (pow.f64 x 4) (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 31/15120 (pow.f64 x 6)))) |
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 31/15120 (pow.f64 x 6) 1))) |
(fma.f64 1/6 (*.f64 x x) (fma.f64 7/360 (pow.f64 x 4) (fma.f64 31/15120 (pow.f64 x 6) 1))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y))) |
(fma.f64 -1/6 (*.f64 x (*.f64 x y)) y) |
(fma.f64 (*.f64 x x) (*.f64 y -1/6) y) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 (pow.f64 x 4) y) (+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y)))) |
(fma.f64 1/120 (*.f64 (pow.f64 x 4) y) (fma.f64 -1/6 (*.f64 x (*.f64 x y)) y)) |
(fma.f64 (*.f64 x x) (*.f64 y -1/6) (fma.f64 (pow.f64 x 4) (*.f64 y 1/120) y)) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 (pow.f64 x 6) y) (fma.f64 1/120 (*.f64 (pow.f64 x 4) y) (+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y))))) |
(fma.f64 -1/5040 (*.f64 (pow.f64 x 6) y) (fma.f64 1/120 (*.f64 (pow.f64 x 4) y) (fma.f64 -1/6 (*.f64 x (*.f64 x y)) y))) |
(fma.f64 (pow.f64 x 4) (*.f64 y 1/120) (fma.f64 (pow.f64 x 6) (*.f64 y -1/5040) (fma.f64 (*.f64 x x) (*.f64 y -1/6) y))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(-.f64 (+.f64 1 (/.f64 x (sin.f64 x))) 1) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(*.f64 x (/.f64 1 (sin.f64 x))) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 x (sin.f64 x)) 1) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(*.f64 1 (/.f64 x (sin.f64 x))) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (sin.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) (sqrt.f64 (/.f64 x (sin.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sin.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 1 (sin.f64 x)) x) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sin.f64 x))) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sin.f64 x))) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sin.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sin.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (/.f64 x (sin.f64 x)) 1) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (/.f64 (sin.f64 x) x) -1) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(neg.f64 (/.f64 x (neg.f64 (sin.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2)) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(log.f64 (exp.f64 (/.f64 x (sin.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3)) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(exp.f64 (log.f64 (/.f64 x (sin.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 x (sin.f64 x)) 1)) |
(+.f64 (/.f64 x (sin.f64 x)) 0) |
(/.f64 x (sin.f64 x)) |
(-.f64 (+.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 x (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 x (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 y x) 1) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (/.f64 y x) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(pow.f64 (/.f64 (/.f64 x (sin.f64 x)) y) -1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(neg.f64 (/.f64 y (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x (sin.f64 x)) 3))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
Compiled 4894 to 2299 computations (53% saved)
14 alts after pruning (9 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 386 | 7 | 393 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 386 | 14 | 400 |
| Status | Error | Program |
|---|---|---|
| ▶ | 14.8b | (/.f64 (*.f64 (sin.f64 x) y) x) |
| ▶ | 0.8b | (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
| 1.5b | (/.f64 (sin.f64 x) (/.f64 x y)) | |
| ✓ | 0.8b | (/.f64 y (/.f64 x (sin.f64 x))) |
| 0.9b | (/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) | |
| ▶ | 32.7b | (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
| 32.7b | (+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y))) | |
| ✓ | 0.7b | (*.f64 (/.f64 (sin.f64 x) x) y) |
| ✓ | 0.8b | (*.f64 (/.f64 y x) (sin.f64 x)) |
| ▶ | 32.7b | (*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y) |
| ✓ | 0.2b | (*.f64 (*.f64 (/.f64 1 x) (sin.f64 x)) (sinh.f64 y)) |
| ▶ | 31.2b | (*.f64 1 (+.f64 y (*.f64 1/6 (pow.f64 y 3)))) |
| ✓ | 31.2b | (*.f64 1 (sinh.f64 y)) |
| 31.4b | y |
Compiled 202 to 138 computations (31.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 x (sinh.f64 y)) |
| 0.0b | (sinh.f64 y) | |
| ✓ | 0.8b | (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
Compiled 19 to 6 computations (68.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | inf | (/.f64 x (sinh.f64 y)) |
| 4.0ms | x | @ | -inf | (/.f64 x (sinh.f64 y)) |
| 2.0ms | x | @ | 0 | (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
| 2.0ms | x | @ | inf | (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
| 2.0ms | y | @ | -inf | (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
Compiled 880 to 617 computations (29.9% saved)
| 1× | batch-egg-rewrite |
| 934× | pow1_binary64 |
| 869× | add-log-exp_binary64 |
| 868× | log1p-expm1-u_binary64 |
| 868× | expm1-log1p-u_binary64 |
| 849× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 155 | 17 |
| 2 | 2270 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 x (sinh.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x (sinh.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) 1) (sinh.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 x (sinh.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (sinh.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) (cbrt.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (sqrt.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sinh.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (/.f64 x (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 2 (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sinh.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sinh.f64 y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sinh.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (sinh.f64 y)))))))) |
| 1× | egg-herbie |
| 690× | fma-def_binary64 |
| 545× | unswap-sqr_binary64 |
| 329× | associate-/l/_binary64 |
| 263× | log-prod_binary64 |
| 193× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 254 | 2273 |
| 1 | 690 | 1637 |
| 2 | 2495 | 1471 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 7)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 x y) |
(+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y)) |
(+.f64 (*.f64 -1/6 (*.f64 y x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x)))) (/.f64 x y))) |
(+.f64 (*.f64 -1/6 (*.f64 y x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 5) (+.f64 (*.f64 -1/720 x) (+.f64 (*.f64 -1/6 (+.f64 (*.f64 -1/36 x) (*.f64 1/120 x))) (*.f64 1/5040 x))))) (/.f64 x y)))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(-.f64 (+.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 1) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) (sinh.f64 y)))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y)))) |
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x (sinh.f64 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x (sinh.f64 y))))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x (sinh.f64 y))))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) 1) (sinh.f64 y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) -1) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) (sinh.f64 y)))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 x (sinh.f64 y)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(-.f64 (+.f64 1 (/.f64 x (sinh.f64 y))) 1) |
(*.f64 x (/.f64 1 (sinh.f64 y))) |
(*.f64 (/.f64 x (sinh.f64 y)) 1) |
(*.f64 1 (/.f64 x (sinh.f64 y))) |
(*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (sinh.f64 y)))) |
(*.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (sqrt.f64 (/.f64 x (sinh.f64 y)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (sinh.f64 y)))) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 1 (sinh.f64 y)) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sinh.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sinh.f64 y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (/.f64 x (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 x (*.f64 2 (sinh.f64 y))) 2) |
(pow.f64 (/.f64 x (sinh.f64 y)) 1) |
(pow.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 3) |
(pow.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) 2) |
(pow.f64 (/.f64 (sinh.f64 y) x) -1) |
(neg.f64 (/.f64 x (neg.f64 (sinh.f64 y)))) |
(sqrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 2)) |
(log.f64 (exp.f64 (/.f64 x (sinh.f64 y)))) |
(cbrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sinh.f64 y) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (sinh.f64 y)))) |
(log1p.f64 (expm1.f64 (/.f64 x (sinh.f64 y)))) |
(exp.f64 (log.f64 (/.f64 x (sinh.f64 y)))) |
| Outputs |
|---|
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) |
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) -1/12))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 -1/12 (*.f64 x x)))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/12) (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240)))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 -1/12 (*.f64 x x)) (*.f64 1/240 (pow.f64 x 4))))) |
(+.f64 (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (*.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (*.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)))))) |
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 -1/10080 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 4) 1/240))))) |
(+.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (*.f64 -1/12 (*.f64 x x)))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 1/240 (pow.f64 x 4)) (*.f64 -1/10080 (pow.f64 x 6))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 5)) x) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 7)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/120 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (fma.f64 1/5040 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 7)) x) (/.f64 y (/.f64 x (sin.f64 x)))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 5)) x) (fma.f64 1/5040 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 7)) (*.f64 (/.f64 y x) (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (fma.f64 1/5040 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 7)) (*.f64 (/.f64 y x) (sin.f64 x))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)) |
(*.f64 1/2 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x)) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
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(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) |
(+.f64 1 (-.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)) |
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 0) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(-.f64 (+.f64 1 (/.f64 x (sinh.f64 y))) 1) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 x (/.f64 1 (sinh.f64 y))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 x (sinh.f64 y)) 1) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 1 (/.f64 x (sinh.f64 y))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (sinh.f64 y)))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (sqrt.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (sinh.f64 y)))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 1 (sinh.f64 y)) x) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sinh.f64 y))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sinh.f64 y))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 x (sinh.f64 y)))) |
(*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (/.f64 x (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(*.f64 (/.f64 x (*.f64 2 (sinh.f64 y))) 2) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(pow.f64 (/.f64 x (sinh.f64 y)) 1) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(pow.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3) 1/3) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 3) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(pow.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) 2) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(pow.f64 (/.f64 (sinh.f64 y) x) -1) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(neg.f64 (/.f64 x (neg.f64 (sinh.f64 y)))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(sqrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 2)) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(log.f64 (exp.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(cbrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3)) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sinh.f64 y) 3))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(expm1.f64 (log1p.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(log1p.f64 (expm1.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(exp.f64 (log.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (*.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 -1/6 (*.f64 x x)) |
| ✓ | 9.5b | (*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y) |
Compiled 30 to 16 computations (46.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | (*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y) |
| 1.0ms | x | @ | inf | (*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y) |
| 1.0ms | x | @ | 0 | (*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y) |
| 1.0ms | y | @ | inf | (*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y) |
| 1.0ms | y | @ | -inf | (*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y) |
Compiled 404 to 336 computations (16.8% saved)
| 1× | batch-egg-rewrite |
| 867× | pow1_binary64 |
| 808× | add-log-exp_binary64 |
| 807× | log1p-expm1-u_binary64 |
| 807× | expm1-log1p-u_binary64 |
| 792× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 184 | 18 |
| 2 | 2253 | 18 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y) |
(*.f64 -1/6 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (*.f64 -1/6 (*.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (*.f64 -1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/6 (*.f64 x x)) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216)) y) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/36)) y) (-.f64 1 (*.f64 -1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (*.f64 (pow.f64 x 4) 1/36))) (-.f64 1 (*.f64 -1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (fma.f64 -1/6 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 1) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 -1/6 (*.f64 x x) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -1/6 (*.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 542× | associate-*l*_binary64 |
| 490× | associate-*r*_binary64 |
| 463× | log-prod_binary64 |
| 276× | associate-/l*_binary64 |
| 249× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 738 |
| 1 | 266 | 722 |
| 2 | 794 | 704 |
| 3 | 4254 | 704 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) -2) y)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) -2) y)) y) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) -2) y)) y) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) -2) y)) y) |
(*.f64 -1/6 (*.f64 y (pow.f64 (/.f64 -1 x) -2))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 (/.f64 -1 x) -2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 (/.f64 -1 x) -2)))) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 (/.f64 -1 x) -2)))) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y) |
(*.f64 -1/6 (pow.f64 x 2)) |
(*.f64 -1/6 (pow.f64 x 2)) |
(*.f64 -1/6 (pow.f64 x 2)) |
(*.f64 -1/6 (pow.f64 x 2)) |
(*.f64 -1/6 (pow.f64 (/.f64 1 x) -2)) |
(*.f64 -1/6 (pow.f64 (/.f64 1 x) -2)) |
(*.f64 -1/6 (pow.f64 (/.f64 1 x) -2)) |
(*.f64 -1/6 (pow.f64 (/.f64 1 x) -2)) |
(*.f64 -1/6 (pow.f64 (/.f64 -1 x) -2)) |
(*.f64 -1/6 (pow.f64 (/.f64 -1 x) -2)) |
(*.f64 -1/6 (pow.f64 (/.f64 -1 x) -2)) |
(*.f64 -1/6 (pow.f64 (/.f64 -1 x) -2)) |
(+.f64 y (*.f64 (*.f64 -1/6 (*.f64 x x)) y)) |
(+.f64 y (*.f64 y (*.f64 -1/6 (*.f64 x x)))) |
(+.f64 (*.f64 (*.f64 -1/6 (*.f64 x x)) y) y) |
(+.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) y) |
(-.f64 (+.f64 1 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)) 1) |
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216)) y) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 4) 1/36)) y) (-.f64 1 (*.f64 -1/6 (*.f64 x x)))) |
(/.f64 (*.f64 y (+.f64 1 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216))) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/36) (*.f64 1/6 (*.f64 x x))))) |
(/.f64 (*.f64 y (-.f64 1 (*.f64 (pow.f64 x 4) 1/36))) (-.f64 1 (*.f64 -1/6 (*.f64 x x)))) |
(pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 1) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)) 3) |
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y)) 2) |
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 -1/6 (*.f64 x x) 1))) |
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/6 (*.f64 x x) 1) 3) (pow.f64 y 3))) |
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 -1/6 (*.f64 x x) 1) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y))) |
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y))) |
(exp.f64 (log.f64 (*.f64 (fma.f64 -1/6 (*.f64 x x) 1) y))) |
(-.f64 (fma.f64 -1/6 (*.f64 x x) 1) 1) |
(pow.f64 (*.f64 -1/6 (*.f64 x x)) 1) |
(pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 x x))) 3) |
(pow.f64 (*.f64 x (sqrt.f64 -1/6)) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/6)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -1/216)) |
(expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 x x)))) |
(log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 -1/6 (*.f64 x x)))) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y) |
(*.f64 y (fma.f64 (*.f64 -1/6 x) x 1)) |
(fma.f64 (*.f64 x (*.f64 y -1/6)) x y) |
(fma.f64 (*.f64 -1/6 x) (*.f64 y x) y) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y) |
(*.f64 y (fma.f64 (*.f64 -1/6 x) x 1)) |
(fma.f64 (*.f64 x (*.f64 y -1/6)) x y) |
(fma.f64 (*.f64 -1/6 x) (*.f64 y x) y) |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(fma.f64 y (*.f64 (*.f64 -1/6 x) x) y) |
(*.f64 y (fma.f64 (*.f64 -1/6 x) x 1)) |
(fma.f64 (*.f64 x (*.f64 y -1/6)) x y) |
(fma.f64 (*.f64 -1/6 x) (*.f64 y x) y) |
(*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) -2) y)) |
(*.f64 -1/6 (*.f64 y (pow.f64 (/.f64 1 x) -2))) |
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(*.f64 x (*.f64 -1/6 x)) |
(*.f64 -1/6 (*.f64 x x)) |
(exp.f64 (log.f64 (*.f64 -1/6 (*.f64 x x)))) |
(*.f64 (*.f64 -1/6 x) x) |
(*.f64 x (*.f64 -1/6 x)) |
(*.f64 -1/6 (*.f64 x x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 -1/6 y) |
| ✓ | 9.5b | (*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
Compiled 27 to 13 computations (51.9% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
| 1.0ms | x | @ | inf | (*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
| 1.0ms | y | @ | inf | (*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
| 1.0ms | y | @ | -inf | (*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
Compiled 328 to 268 computations (18.3% saved)
| 1× | batch-egg-rewrite |
| 649× | pow1_binary64 |
| 601× | add-log-exp_binary64 |
| 601× | log1p-expm1-u_binary64 |
| 601× | expm1-log1p-u_binary64 |
| 586× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 14 |
| 1 | 143 | 14 |
| 2 | 1689 | 14 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 (*.f64 x x) -1/6) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) 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 (pow.f64 (*.f64 -1/6 y) 3) 1/3)))) (#(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 (sqrt.f64 (*.f64 -1/6 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1/6 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) y))))) (#(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 log1p.f64 (expm1.f64 (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 y))))))) |
| 1× | egg-herbie |
| 666× | distribute-rgt-in_binary64 |
| 641× | distribute-lft-in_binary64 |
| 517× | fma-def_binary64 |
| 505× | log-prod_binary64 |
| 494× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 460 |
| 1 | 170 | 427 |
| 2 | 673 | 394 |
| 3 | 2955 | 394 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) -2) y)) |
(*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) -2) y)) |
(*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) -2) y)) |
(*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) -2) y)) |
(*.f64 -1/6 (*.f64 y (pow.f64 (/.f64 -1 x) -2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 (/.f64 -1 x) -2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 (/.f64 -1 x) -2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 (/.f64 -1 x) -2))) |
(-.f64 (+.f64 1 (*.f64 (*.f64 (*.f64 x x) -1/6) y)) 1) |
(pow.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) y) 1) |
(pow.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) y) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) y)) 3) |
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 2) |
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) y) 2)) |
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (*.f64 -1/6 y))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) y) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) y))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) y))) |
(exp.f64 (log.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) y))) |
(-.f64 (+.f64 1 (*.f64 -1/6 y)) 1) |
(pow.f64 (*.f64 -1/6 y) 1) |
(pow.f64 (pow.f64 (*.f64 -1/6 y) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 -1/6 y)) 3) |
(pow.f64 (sqrt.f64 (*.f64 -1/6 y)) 2) |
(sqrt.f64 (pow.f64 (*.f64 -1/6 y) 2)) |
(log.f64 (pow.f64 (exp.f64 -1/6) y)) |
(cbrt.f64 (pow.f64 (*.f64 -1/6 y) 3)) |
(expm1.f64 (log1p.f64 (*.f64 -1/6 y))) |
(log1p.f64 (expm1.f64 (*.f64 -1/6 y))) |
(exp.f64 (log.f64 (*.f64 -1/6 y))) |
| Outputs |
|---|
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) -2) y)) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) -2) y)) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) -2) y)) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) -2) y)) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 (/.f64 -1 x) -2))) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 (/.f64 -1 x) -2))) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 (/.f64 -1 x) -2))) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(*.f64 -1/6 (*.f64 y (pow.f64 (/.f64 -1 x) -2))) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(-.f64 (+.f64 1 (*.f64 (*.f64 (*.f64 x x) -1/6) y)) 1) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(pow.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) y) 1) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(pow.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) y) 3) 1/3) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) y)) 3) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/6 y))) 2) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) y) 2)) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (*.f64 -1/6 y))) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) y) 3)) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) y))) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) y))) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(exp.f64 (log.f64 (*.f64 (*.f64 (*.f64 x x) -1/6) y))) |
(*.f64 (*.f64 -1/6 y) (*.f64 x x)) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 -1/6 x))) |
(-.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 (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) |
(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 (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) |
(sqrt.f64 (pow.f64 (*.f64 -1/6 y) 2)) |
(+.f64 1 (-.f64 (*.f64 -1/6 y) 1)) |
(+.f64 (*.f64 -1/6 y) 0) |
(*.f64 -1/6 y) |
(log.f64 (pow.f64 (exp.f64 -1/6) y)) |
(+.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) |
(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) |
(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) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (sin.f64 x) y) |
| ✓ | 14.1b | (/.f64 (*.f64 (sin.f64 x) y) x) |
Compiled 16 to 5 computations (68.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (sin.f64 x) y) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 (sin.f64 x) y) x) |
| 1.0ms | y | @ | inf | (*.f64 (sin.f64 x) y) |
| 1.0ms | x | @ | inf | (*.f64 (sin.f64 x) y) |
| 1.0ms | y | @ | -inf | (*.f64 (sin.f64 x) y) |
Compiled 456 to 320 computations (29.8% saved)
| 1× | batch-egg-rewrite |
| 720× | pow1_binary64 |
| 667× | add-log-exp_binary64 |
| 667× | log1p-expm1-u_binary64 |
| 667× | expm1-log1p-u_binary64 |
| 652× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 125 | 15 |
| 2 | 1741 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 x) y) x) |
(*.f64 (sin.f64 x) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (*.f64 y (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (sin.f64 x) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) y) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (sin.f64 x) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (*.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 (sin.f64 x) y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 x) y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) y))))))) |
| 1× | egg-herbie |
| 678× | times-frac_binary64 |
| 625× | unswap-sqr_binary64 |
| 504× | fma-neg_binary64 |
| 401× | fma-def_binary64 |
| 283× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 165 | 956 |
| 1 | 423 | 948 |
| 2 | 1671 | 941 |
| 3 | 7700 | 941 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y x) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (*.f64 y x)) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 (pow.f64 x 5) 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 (pow.f64 x 5) y))))) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(-.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) y)) 1) |
(*.f64 (sin.f64 x) (/.f64 1 (/.f64 x y))) |
(*.f64 (sin.f64 x) (*.f64 y (pow.f64 x -1))) |
(*.f64 y (*.f64 (sin.f64 x) (pow.f64 x -1))) |
(*.f64 (*.f64 (sin.f64 x) y) (pow.f64 x -1)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1) |
(*.f64 1 (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 x -1))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 x -1))) |
(*.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (/.f64 1 (neg.f64 x))) |
(*.f64 (pow.f64 x -1) (*.f64 (sin.f64 x) y)) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x)) |
(*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) x)) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 (sin.f64 x) y) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 x))) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 3) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) -1) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) y) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(-.f64 (+.f64 1 (*.f64 (sin.f64 x) y)) 1) |
(pow.f64 (*.f64 (sin.f64 x) y) 1) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 3) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 2) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) y)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))) |
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (sin.f64 x) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) y))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) y))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) y))) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) |
(fma.f64 y (*.f64 -1/6 (*.f64 x x)) y) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) |
(fma.f64 y (*.f64 -1/6 (*.f64 x x)) (fma.f64 y (*.f64 1/120 (pow.f64 x 4)) y)) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(fma.f64 y (*.f64 1/120 (pow.f64 x 4)) (fma.f64 y (*.f64 -1/5040 (pow.f64 x 6)) (fma.f64 y (*.f64 -1/6 (*.f64 x x)) y))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 y x) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (*.f64 y x)) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (*.f64 y x)) |
(fma.f64 y x (*.f64 y (*.f64 (pow.f64 x 3) -1/6))) |
(*.f64 y (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/6 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 y x) (*.f64 1/120 (*.f64 (pow.f64 x 5) y)))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 y x (*.f64 (*.f64 1/120 (pow.f64 x 5)) y))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (*.f64 y (+.f64 x (*.f64 1/120 (pow.f64 x 5))))) |
(*.f64 y (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 1/120 (pow.f64 x 5) x))) |
(+.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 (pow.f64 x 5) y))))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 -1/5040 (*.f64 y (pow.f64 x 7)) (fma.f64 y x (*.f64 (*.f64 1/120 (pow.f64 x 5)) y)))) |
(fma.f64 -1/6 (*.f64 y (pow.f64 x 3)) (fma.f64 -1/5040 (*.f64 y (pow.f64 x 7)) (*.f64 y (+.f64 x (*.f64 1/120 (pow.f64 x 5)))))) |
(fma.f64 y (fma.f64 1/120 (pow.f64 x 5) x) (*.f64 y (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/5040 (pow.f64 x 7))))) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(*.f64 y (sin.f64 x)) |
(-.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) y)) 1) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 1 (/.f64 x y))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (*.f64 y (pow.f64 x -1))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 y (*.f64 (sin.f64 x) (pow.f64 x -1))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (sin.f64 x) y) (pow.f64 x -1)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 1 (*.f64 (/.f64 (sin.f64 x) x) y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 x -1))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 x -1))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (/.f64 1 (neg.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (pow.f64 x -1) (*.f64 (sin.f64 x) y)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y 1) (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 (sin.f64 x) y) (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 y (sin.f64 x))) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 (sin.f64 x) y) (sqrt.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) (sqrt.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 1) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3) 1/3) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 3) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) x) y)) 2) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) -1) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) y) (neg.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 2)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) x) y) 3)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) (pow.f64 x 3))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) x) y))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(-.f64 (+.f64 1 (*.f64 (sin.f64 x) y)) 1) |
(*.f64 y (sin.f64 x)) |
(pow.f64 (*.f64 (sin.f64 x) y) 1) |
(*.f64 y (sin.f64 x)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3) 1/3) |
(*.f64 y (sin.f64 x)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 3) |
(*.f64 y (sin.f64 x)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) y)) 2) |
(*.f64 y (sin.f64 x)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 2)) |
(*.f64 y (sin.f64 x)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) y)) |
(*.f64 y (sin.f64 x)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) y) 3)) |
(*.f64 y (sin.f64 x)) |
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 y 3))) |
(*.f64 y (sin.f64 x)) |
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (sin.f64 x) 3))) |
(*.f64 y (sin.f64 x)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 y (sin.f64 x)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 y (sin.f64 x)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) y))) |
(*.f64 y (sin.f64 x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 1/6 (pow.f64 y 3)) |
Compiled 30 to 23 computations (23.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (*.f64 1/6 (pow.f64 y 3)) |
| 1.0ms | y | @ | inf | (*.f64 1/6 (pow.f64 y 3)) |
| 1.0ms | y | @ | 0 | (*.f64 1/6 (pow.f64 y 3)) |
Compiled 112 to 100 computations (10.7% saved)
| 1× | batch-egg-rewrite |
| 505× | pow1_binary64 |
| 498× | add-sqr-sqrt_binary64 |
| 476× | add-log-exp_binary64 |
| 476× | log1p-expm1-u_binary64 |
| 476× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 129 | 7 |
| 2 | 1323 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/6 (pow.f64 y 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (pow.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (cbrt.f64 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 y 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 y 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (pow.f64 y 3)))))))) |
| 1× | egg-herbie |
| 1131× | log-prod_binary64 |
| 474× | exp-sum_binary64 |
| 413× | distribute-rgt-in_binary64 |
| 406× | distribute-lft-in_binary64 |
| 339× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 223 |
| 1 | 111 | 190 |
| 2 | 340 | 157 |
| 3 | 1964 | 157 |
| 4 | 6094 | 157 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/6 (pow.f64 (/.f64 1 y) -3)) |
(*.f64 1/6 (pow.f64 (/.f64 1 y) -3)) |
(*.f64 1/6 (pow.f64 (/.f64 1 y) -3)) |
(*.f64 1/6 (pow.f64 (/.f64 1 y) -3)) |
(*.f64 -1/6 (pow.f64 (/.f64 -1 y) -3)) |
(*.f64 -1/6 (pow.f64 (/.f64 -1 y) -3)) |
(*.f64 -1/6 (pow.f64 (/.f64 -1 y) -3)) |
(*.f64 -1/6 (pow.f64 (/.f64 -1 y) -3)) |
(-.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 3))) 1) |
(pow.f64 (*.f64 1/6 (pow.f64 y 3)) 1) |
(pow.f64 (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3) 1/3) |
(pow.f64 (*.f64 y (cbrt.f64 1/6)) 3) |
(pow.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 y 3/2)) 2) |
(sqrt.f64 (*.f64 (pow.f64 y 6) 1/36)) |
(log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 y 3))) |
(cbrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 y 3)))) |
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 y 3)))) |
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 y 3)))) |
| Outputs |
|---|
(*.f64 1/6 (pow.f64 (/.f64 1 y) -3)) |
(*.f64 1/6 (pow.f64 (/.f64 1 y) -3)) |
(*.f64 1/6 (pow.f64 (/.f64 1 y) -3)) |
(*.f64 1/6 (pow.f64 (/.f64 1 y) -3)) |
(*.f64 -1/6 (pow.f64 (/.f64 -1 y) -3)) |
(*.f64 -1/6 (pow.f64 (/.f64 -1 y) -3)) |
(*.f64 -1/6 (pow.f64 (/.f64 -1 y) -3)) |
(*.f64 -1/6 (pow.f64 (/.f64 -1 y) -3)) |
(-.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 3))) 1) |
(+.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 3))) -1) |
(+.f64 (*.f64 1/6 (pow.f64 y 3)) 0) |
(*.f64 1/6 (pow.f64 y 3)) |
(pow.f64 (*.f64 1/6 (pow.f64 y 3)) 1) |
(+.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 3))) -1) |
(+.f64 (*.f64 1/6 (pow.f64 y 3)) 0) |
(*.f64 1/6 (pow.f64 y 3)) |
(pow.f64 (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3) 1/3) |
(+.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 3))) -1) |
(+.f64 (*.f64 1/6 (pow.f64 y 3)) 0) |
(*.f64 1/6 (pow.f64 y 3)) |
(pow.f64 (*.f64 y (cbrt.f64 1/6)) 3) |
(+.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 3))) -1) |
(+.f64 (*.f64 1/6 (pow.f64 y 3)) 0) |
(*.f64 1/6 (pow.f64 y 3)) |
(pow.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 y 3/2)) 2) |
(+.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 3))) -1) |
(+.f64 (*.f64 1/6 (pow.f64 y 3)) 0) |
(*.f64 1/6 (pow.f64 y 3)) |
(sqrt.f64 (*.f64 (pow.f64 y 6) 1/36)) |
(+.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 3))) -1) |
(+.f64 (*.f64 1/6 (pow.f64 y 3)) 0) |
(*.f64 1/6 (pow.f64 y 3)) |
(log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 y 3))) |
(+.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 3))) -1) |
(+.f64 (*.f64 1/6 (pow.f64 y 3)) 0) |
(*.f64 1/6 (pow.f64 y 3)) |
(cbrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 y 3)) 3)) |
(+.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 3))) -1) |
(+.f64 (*.f64 1/6 (pow.f64 y 3)) 0) |
(*.f64 1/6 (pow.f64 y 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 y 3)))) |
(+.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 3))) -1) |
(+.f64 (*.f64 1/6 (pow.f64 y 3)) 0) |
(*.f64 1/6 (pow.f64 y 3)) |
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 y 3)))) |
(+.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 3))) -1) |
(+.f64 (*.f64 1/6 (pow.f64 y 3)) 0) |
(*.f64 1/6 (pow.f64 y 3)) |
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 y 3)))) |
(+.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 3))) -1) |
(+.f64 (*.f64 1/6 (pow.f64 y 3)) 0) |
(*.f64 1/6 (pow.f64 y 3)) |
Compiled 4764 to 2330 computations (51.1% saved)
17 alts after pruning (9 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 348 | 6 | 354 |
| Fresh | 1 | 3 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 7 | 9 |
| Total | 351 | 17 | 368 |
| Status | Error | Program |
|---|---|---|
| 45.7b | (/.f64 (-.f64 (+.f64 1 (*.f64 (sin.f64 x) y)) 1) x) | |
| ✓ | 14.8b | (/.f64 (*.f64 (sin.f64 x) y) x) |
| ▶ | 45.4b | (/.f64 (*.f64 y x) x) |
| ✓ | 0.8b | (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
| ▶ | 1.5b | (/.f64 (sin.f64 x) (/.f64 x y)) |
| ▶ | 1.1b | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
| ✓ | 0.8b | (/.f64 y (/.f64 x (sin.f64 x))) |
| ▶ | 0.9b | (/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| ✓ | 32.7b | (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
| 32.7b | (+.f64 y (*.f64 y (*.f64 x (*.f64 -1/6 x)))) | |
| ✓ | 0.7b | (*.f64 (/.f64 (sin.f64 x) x) y) |
| ✓ | 0.8b | (*.f64 (/.f64 y x) (sin.f64 x)) |
| ▶ | 61.8b | (*.f64 y (*.f64 -1/6 (*.f64 x x))) |
| ✓ | 31.2b | (*.f64 1 (+.f64 y (*.f64 1/6 (pow.f64 y 3)))) |
| ✓ | 31.2b | (*.f64 1 (sinh.f64 y)) |
| 61.8b | (*.f64 -1/6 (*.f64 y (*.f64 x x))) | |
| 31.4b | y |
Compiled 232 to 155 computations (33.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| ✓ | 0.1b | (/.f64 1 (sin.f64 x)) |
| ✓ | 0.2b | (*.f64 (/.f64 1 (sin.f64 x)) x) |
Compiled 25 to 13 computations (48% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (/.f64 1 (sin.f64 x)) |
| 1.0ms | x | @ | -inf | (/.f64 1 (sin.f64 x)) |
| 1.0ms | x | @ | 0 | (/.f64 1 (sin.f64 x)) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 1 (sin.f64 x)) x) |
| 1.0ms | x | @ | 0 | (/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
Compiled 462 to 346 computations (25.1% saved)
| 1× | batch-egg-rewrite |
| 883× | pow1_binary64 |
| 818× | add-log-exp_binary64 |
| 818× | log1p-expm1-u_binary64 |
| 818× | expm1-log1p-u_binary64 |
| 800× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 1 | 165 | 21 |
| 2 | 2206 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (sin.f64 x)) x) |
(/.f64 1 (sin.f64 x)) |
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (sin.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 x) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (sin.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (sin.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.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 (/.f64 1 (cbrt.f64 (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)) (/.f64 1 (cbrt.f64 (sin.f64 x))))))) (#(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 -1 (/.f64 1 (neg.f64 (sin.f64 x))))))) (#(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 *.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.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 (/.f64 1 (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) -1/2) 2)))) (#(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 log1p.f64 (expm1.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 -.f64 (+.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sin.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 x))) (/.f64 (sqrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 y (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 (sin.f64 x))) (/.f64 (cbrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 (neg.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x (sin.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))))) |
| 1× | egg-herbie |
| 673× | associate-/l*_binary64 |
| 665× | associate-/r*_binary64 |
| 496× | fma-def_binary64 |
| 291× | *-commutative_binary64 |
| 237× | associate-/l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 224 | 1165 |
| 1 | 559 | 1097 |
| 2 | 2005 | 1043 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6))))) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 1 x) |
(+.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 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(-.f64 (+.f64 1 (/.f64 x (sin.f64 x))) 1) |
(/.f64 1 (/.f64 (sin.f64 x) x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(/.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(/.f64 (neg.f64 x) (neg.f64 (sin.f64 x))) |
(/.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(/.f64 (/.f64 x 1) (sin.f64 x)) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(/.f64 (*.f64 -1 x) (neg.f64 (sin.f64 x))) |
(/.f64 (*.f64 x -1) (neg.f64 (sin.f64 x))) |
(pow.f64 (/.f64 x (sin.f64 x)) 1) |
(pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3) |
(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2) |
(sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 x (sin.f64 x)))) |
(cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (sin.f64 x)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) |
(log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x)))) |
(exp.f64 (log.f64 (/.f64 x (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 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2)) |
(*.f64 -1 (/.f64 1 (neg.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1)) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1)) |
(pow.f64 (sin.f64 x) -1) |
(pow.f64 (/.f64 1 (sin.f64 x)) 1) |
(pow.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) 1/3) |
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3) |
(pow.f64 (pow.f64 (sin.f64 x) -1/2) 2) |
(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)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 x)))) |
(exp.f64 (neg.f64 (log.f64 (sin.f64 x)))) |
(-.f64 (+.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 (*.f64 y (sin.f64 x)) (/.f64 1 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 x (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 x))) (/.f64 (sqrt.f64 y) x)) |
(*.f64 (/.f64 1 x) (*.f64 y (sin.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 (sin.f64 x))) (/.f64 (cbrt.f64 y) x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) |
(pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) -1) |
(neg.f64 (/.f64 y (/.f64 (neg.f64 x) (sin.f64 x)))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2)) |
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x (sin.f64 x)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1) |
(fma.f64 1/6 (*.f64 x x) 1) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)) |
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) 1)) |
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6))))) |
(fma.f64 7/360 (pow.f64 x 4) (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 31/15120 (pow.f64 x 6)))) |
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 31/15120 (pow.f64 x 6) 1))) |
(fma.f64 1/6 (*.f64 x x) (fma.f64 7/360 (pow.f64 x 4) (fma.f64 31/15120 (pow.f64 x 6) 1))) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 1 x) |
(+.f64 (*.f64 1/6 x) (/.f64 1 x)) |
(fma.f64 1/6 x (/.f64 1 x)) |
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))) |
(fma.f64 1/6 x (fma.f64 7/360 (pow.f64 x 3) (/.f64 1 x))) |
(fma.f64 7/360 (pow.f64 x 3) (fma.f64 1/6 x (/.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 31/15120 (pow.f64 x 5) (fma.f64 7/360 (pow.f64 x 3) (fma.f64 1/6 x (/.f64 1 x)))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(fma.f64 (*.f64 y -1/6) (*.f64 x x) y) |
(fma.f64 (*.f64 x x) (*.f64 y -1/6) y) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 (pow.f64 x 4) y) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))) |
(fma.f64 1/120 (*.f64 (pow.f64 x 4) y) (fma.f64 (*.f64 y -1/6) (*.f64 x x) y)) |
(fma.f64 (*.f64 x x) (*.f64 y -1/6) (fma.f64 (pow.f64 x 4) (*.f64 y 1/120) y)) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 (pow.f64 x 6) y) (fma.f64 1/120 (*.f64 (pow.f64 x 4) y) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))))) |
(fma.f64 -1/5040 (*.f64 (pow.f64 x 6) y) (fma.f64 1/120 (*.f64 (pow.f64 x 4) y) (fma.f64 (*.f64 y -1/6) (*.f64 x x) y))) |
(fma.f64 (pow.f64 x 4) (*.f64 y 1/120) (fma.f64 (pow.f64 x 6) (*.f64 y -1/5040) (fma.f64 (*.f64 x x) (*.f64 y -1/6) y))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(-.f64 (+.f64 1 (/.f64 x (sin.f64 x))) 1) |
(/.f64 x (sin.f64 x)) |
(/.f64 1 (/.f64 (sin.f64 x) x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (sin.f64 x) (cbrt.f64 x))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (sqrt.f64 x) (/.f64 (sin.f64 x) (sqrt.f64 x))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (neg.f64 x) (neg.f64 (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (/.f64 x 1) (sin.f64 x)) |
(/.f64 x (sin.f64 x)) |
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (*.f64 -1 x) (neg.f64 (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(/.f64 (*.f64 x -1) (neg.f64 (sin.f64 x))) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (/.f64 x (sin.f64 x)) 1) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3) 1/3) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 3) |
(/.f64 x (sin.f64 x)) |
(pow.f64 (sqrt.f64 (/.f64 x (sin.f64 x))) 2) |
(/.f64 x (sin.f64 x)) |
(sqrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 2)) |
(/.f64 x (sin.f64 x)) |
(log.f64 (exp.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 x (sin.f64 x)) 3)) |
(/.f64 x (sin.f64 x)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) |
(/.f64 x (sin.f64 x)) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (sin.f64 x)) 3))) |
(/.f64 x (sin.f64 x)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) (pow.f64 x 3))) |
(/.f64 x (sin.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 x (sin.f64 x)) |
(exp.f64 (log.f64 (/.f64 x (sin.f64 x)))) |
(/.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 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2))) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (sin.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2))) |
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (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 -1 (/.f64 1 (neg.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)) |
(*.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)) |
(*.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)) |
(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 (/.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)) |
(pow.f64 (/.f64 1 (cbrt.f64 (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 (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)) |
(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)) |
(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)) |
(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)) |
(-.f64 (+.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) 1) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 y (sin.f64 x)) (/.f64 1 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 x (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 x (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 x))) (/.f64 (sqrt.f64 y) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 1 x) (*.f64 y (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 1 (sin.f64 x))) (/.f64 (cbrt.f64 y) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 y (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 x (sin.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 x (sin.f64 x))))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) -1) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(neg.f64 (/.f64 y (/.f64 (neg.f64 x) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 x (sin.f64 x)) 3))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 14.1b | (/.f64 (*.f64 y x) x) |
Compiled 12 to 4 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 y x) x) |
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 y x) x) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 y x) x) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 y x) x) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 y x) x) |
Compiled 96 to 72 computations (25% saved)
| 1× | batch-egg-rewrite |
| 513× | pow1_binary64 |
| 489× | add-sqr-sqrt_binary64 |
| 478× | add-log-exp_binary64 |
| 478× | log1p-expm1-u_binary64 |
| 478× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 106 | 1 |
| 2 | 1549 | 1 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 y (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 y)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 y x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 y x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 x)) (/.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x . y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 y)))))) |
| 1× | egg-herbie |
| 763× | times-frac_binary64 |
| 417× | associate-/r*_binary64 |
| 361× | fma-def_binary64 |
| 350× | log-prod_binary64 |
| 301× | associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 222 |
| 1 | 233 | 198 |
| 2 | 948 | 198 |
| 3 | 6125 | 178 |
| 1× | node limit |
| Inputs |
|---|
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
(-.f64 (+.f64 1 y) 1) |
(*.f64 y 1) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 (*.f64 y x) (/.f64 1 x)) |
(*.f64 1 y) |
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 1 x))) |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 1 x))) |
(*.f64 (*.f64 x (neg.f64 y)) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 y x) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 y x) (sqrt.f64 x))) |
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 x 1) (/.f64 y x)) |
(*.f64 (/.f64 y x) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) x)) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 y)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 x))) |
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 x))) |
(pow.f64 y 1) |
(pow.f64 (pow.f64 y 3) 1/3) |
(pow.f64 (cbrt.f64 y) 3) |
(pow.f64 (sqrt.f64 y) 2) |
(pow.f64 (/.f64 1 y) -1) |
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 x))) |
(sqrt.f64 (*.f64 y y)) |
(log.f64 (exp.f64 y)) |
(cbrt.f64 (pow.f64 y 3)) |
(expm1.f64 (log1p.f64 y)) |
(log1p.f64 (expm1.f64 y)) |
(exp.f64 (log.f64 y)) |
| Outputs |
|---|
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
(-.f64 (+.f64 1 y) 1) |
y |
(*.f64 y 1) |
y |
(*.f64 x (*.f64 y (/.f64 1 x))) |
y |
(*.f64 (*.f64 y x) (/.f64 1 x)) |
y |
(*.f64 1 y) |
y |
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2)) |
y |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y)) |
y |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 1 x))) |
y |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
y |
(*.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 1 x))) |
y |
(*.f64 (*.f64 x (neg.f64 y)) (/.f64 1 (neg.f64 x))) |
y |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
y |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 y x) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (/.f64 (cbrt.f64 x) x))) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x))) |
(/.f64 y (*.f64 (/.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 x) 3)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 y x) (sqrt.f64 x))) |
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 y x) (sqrt.f64 x))) |
(*.f64 (/.f64 x 1) (/.f64 y x)) |
y |
(*.f64 (/.f64 y x) x) |
y |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) x)) |
y |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) x)) |
y |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (/.f64 (cbrt.f64 x) x))) |
(/.f64 y (*.f64 (/.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 x) 3)) |
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (/.f64 (cbrt.f64 x) x))) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x))) |
(/.f64 y (*.f64 (/.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 x) 3)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 y)) |
(*.f64 (cbrt.f64 y) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (/.f64 (cbrt.f64 x) x))) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x))) |
(/.f64 y (*.f64 (/.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 x) 3)) |
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 x (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 y x) (sqrt.f64 x))) |
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 y x) (sqrt.f64 x))) |
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) |
(pow.f64 y 1) |
y |
(pow.f64 (pow.f64 y 3) 1/3) |
y |
(pow.f64 (cbrt.f64 y) 3) |
y |
(pow.f64 (sqrt.f64 y) 2) |
y |
(pow.f64 (/.f64 1 y) -1) |
y |
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 x))) |
y |
(sqrt.f64 (*.f64 y y)) |
y |
(log.f64 (exp.f64 y)) |
y |
(cbrt.f64 (pow.f64 y 3)) |
y |
(expm1.f64 (log1p.f64 y)) |
y |
(log1p.f64 (expm1.f64 y)) |
y |
(exp.f64 (log.f64 y)) |
y |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 -1/6 (*.f64 x x)) | |
| ✓ | 9.5b | (*.f64 y (*.f64 -1/6 (*.f64 x x))) |
Compiled 20 to 9 computations (55% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 y (*.f64 -1/6 (*.f64 x x))) |
| 1.0ms | x | @ | inf | (*.f64 y (*.f64 -1/6 (*.f64 x x))) |
| 1.0ms | y | @ | 0 | (*.f64 y (*.f64 -1/6 (*.f64 x x))) |
| 1.0ms | y | @ | inf | (*.f64 y (*.f64 -1/6 (*.f64 x x))) |
| 1.0ms | x | @ | 0 | (*.f64 y (*.f64 -1/6 (*.f64 x x))) |
Compiled 256 to 208 computations (18.8% saved)
| 1× | batch-egg-rewrite |
| 644× | pow1_binary64 |
| 596× | add-log-exp_binary64 |
| 596× | log1p-expm1-u_binary64 |
| 596× | expm1-log1p-u_binary64 |
| 583× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 143 | 10 |
| 2 | 1674 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (*.f64 -1/6 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 y -1/6)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 1/36 (pow.f64 x 4)) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -1/6) (*.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))))))))) |
| 1× | egg-herbie |
| 735× | associate-*l*_binary64 |
| 662× | associate-*r*_binary64 |
| 515× | distribute-rgt-in_binary64 |
| 504× | distribute-lft-in_binary64 |
| 294× | associate-+l+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 350 |
| 1 | 133 | 350 |
| 2 | 473 | 350 |
| 3 | 3482 | 350 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) -2) y)) |
(*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) -2) y)) |
(*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) -2) y)) |
(*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) -2) y)) |
(*.f64 -1/6 (*.f64 y (pow.f64 (/.f64 -1 x) -2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 (/.f64 -1 x) -2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 (/.f64 -1 x) -2))) |
(*.f64 -1/6 (*.f64 y (pow.f64 (/.f64 -1 x) -2))) |
(-.f64 (+.f64 1 (*.f64 y (*.f64 -1/6 (*.f64 x x)))) 1) |
(pow.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) 1) |
(pow.f64 (pow.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x)))) 3) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 y -1/6)) x) 2) |
(sqrt.f64 (*.f64 (*.f64 1/36 (pow.f64 x 4)) (*.f64 y y))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/6) (*.f64 x x)) y)) |
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))))) |
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))))) |
(exp.f64 (log.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))))) |
| Outputs |
|---|
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 -1/6 (*.f64 y (pow.f64 x 2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) -2) y)) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) -2) y)) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) -2) y)) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 x) -2) y)) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 -1/6 (*.f64 y (pow.f64 (/.f64 -1 x) -2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 -1/6 (*.f64 y (pow.f64 (/.f64 -1 x) -2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 -1/6 (*.f64 y (pow.f64 (/.f64 -1 x) -2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 -1/6 (*.f64 y (pow.f64 (/.f64 -1 x) -2))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(-.f64 (+.f64 1 (*.f64 y (*.f64 -1/6 (*.f64 x x)))) 1) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(pow.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) 1) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(pow.f64 (pow.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) 3) 1/3) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(pow.f64 (cbrt.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x)))) 3) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 y -1/6)) x) 2) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(sqrt.f64 (*.f64 (*.f64 1/36 (pow.f64 x 4)) (*.f64 y y))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 -1/6) (*.f64 x x)) y)) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(cbrt.f64 (pow.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))) 3)) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(expm1.f64 (log1p.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(log1p.f64 (expm1.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(exp.f64 (log.f64 (*.f64 y (*.f64 -1/6 (*.f64 x x))))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.8b | (/.f64 (sin.f64 x) (/.f64 x y)) |
Compiled 15 to 5 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 1.0ms | x | @ | -inf | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 1.0ms | x | @ | inf | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 1.0ms | y | @ | inf | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 1.0ms | y | @ | -inf | (/.f64 (sin.f64 x) (/.f64 x y)) |
Compiled 244 to 168 computations (31.1% saved)
| 1× | batch-egg-rewrite |
| 788× | pow1_binary64 |
| 732× | add-log-exp_binary64 |
| 732× | log1p-expm1-u_binary64 |
| 732× | expm1-log1p-u_binary64 |
| 715× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 131 | 9 |
| 2 | 1925 | 9 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) (/.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x y))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x)))))))) |
| 1× | egg-herbie |
| 752× | fma-def_binary64 |
| 690× | log-div_binary64 |
| 488× | associate-*l/_binary64 |
| 437× | associate-/l*_binary64 |
| 388× | associate-*r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 130 | 700 |
| 1 | 340 | 682 |
| 2 | 1131 | 682 |
| 3 | 6214 | 676 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(-.f64 (+.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) 1) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x))) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) y))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 y))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 x y))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x y))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x y))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) 1) y) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y)) (sqrt.f64 y)) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) -1) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) y))) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 y x))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 x y) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(fma.f64 -1/6 (*.f64 y (*.f64 x x)) y) |
(fma.f64 y (*.f64 -1/6 (*.f64 x x)) y) |
(+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2))))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x)))) |
(fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y)) |
(fma.f64 y (*.f64 -1/6 (*.f64 x x)) (fma.f64 y (*.f64 1/120 (pow.f64 x 4)) y)) |
(fma.f64 y (fma.f64 -1/6 (*.f64 x x) (*.f64 1/120 (pow.f64 x 4))) y) |
(+.f64 (*.f64 -1/5040 (*.f64 y (pow.f64 x 6))) (+.f64 (*.f64 1/120 (*.f64 y (pow.f64 x 4))) (+.f64 y (*.f64 -1/6 (*.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))))) |
(fma.f64 -1/5040 (*.f64 y (pow.f64 x 6)) (fma.f64 1/120 (*.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (*.f64 y (*.f64 x x)) y))) |
(fma.f64 y (*.f64 -1/5040 (pow.f64 x 6)) (fma.f64 y (*.f64 -1/6 (*.f64 x x)) (fma.f64 y (*.f64 1/120 (pow.f64 x 4)) y))) |
(fma.f64 y (fma.f64 -1/6 (*.f64 x x) (*.f64 -1/5040 (pow.f64 x 6))) (*.f64 y (fma.f64 1/120 (pow.f64 x 4) 1))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(-.f64 (+.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 1 (*.f64 (sin.f64 x) (/.f64 y x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.f64 x) y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 x y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 x y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y)))) |
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) |
(/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y)))) |
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) |
(/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y)))) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x y))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x y)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x y))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y)))) |
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))) |
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 y x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) 1) y) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3) 1/3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 3) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 y x))) 2) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) y)) -1) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) y))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 2)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 y x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 y x)) 3)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 x y) 3))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 y x)))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y)) |
| ✓ | 0.3b | (*.f64 -1/6 (*.f64 y x)) |
| ✓ | 0.8b | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
Compiled 39 to 15 computations (61.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | inf | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
| 5.0ms | y | @ | -inf | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
| 2.0ms | x | @ | 0 | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
| 2.0ms | x | @ | inf | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
| 2.0ms | x | @ | -inf | (/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
Compiled 1702 to 1224 computations (28.1% saved)
| 1× | batch-egg-rewrite |
| 621× | log-prod_binary64 |
| 385× | pow-prod-down_binary64 |
| 333× | fma-def_binary64 |
| 305× | pow2_binary64 |
| 213× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 1 | 224 | 34 |
| 2 | 3248 | 34 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
(*.f64 -1/6 (*.f64 y x)) |
(+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y)) |
| Outputs |
|---|
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(pow.f64 (cbrt.f64 (*.f64 x (*.f64 -1/6 y))) 2) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 -1/6 y))) 2) (cbrt.f64 (*.f64 x (*.f64 -1/6 y))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (*.f64 x (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 y)) (*.f64 x (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) -1/6) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (*.f64 -1/6 y))) (sqrt.f64 (*.f64 x (*.f64 -1/6 y))) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 y)) (*.f64 x (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) x (*.f64 x (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 y) x (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) y) (*.f64 x (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 x (cbrt.f64 y)) (*.f64 x (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 x y)) (*.f64 x (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (*.f64 x (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 x (sqrt.f64 y)) (*.f64 x (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (*.f64 x (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 x) y (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/6 y) 1) x (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/6 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -1/6 y) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 x y)))))) |
| 1× | egg-herbie |
| 544× | unswap-sqr_binary64 |
| 338× | distribute-rgt-in_binary64 |
| 320× | distribute-lft-in_binary64 |
| 236× | log-prod_binary64 |
| 171× | sqr-pow_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 402 | 3429 |
| 1 | 998 | 3124 |
| 2 | 3208 | 3078 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 x 6) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))) |
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))) |
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))) |
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/216 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 7)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))) |
(+.f64 (*.f64 -36 (/.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (sin.f64 x)) x)) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))) |
(+.f64 (*.f64 -36 (/.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (sin.f64 x)) x)) (+.f64 (*.f64 -216 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (/.f64 1 y) 5)) x)) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))))) |
(+.f64 (*.f64 -36 (/.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (sin.f64 x)) x)) (+.f64 (*.f64 -1296 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (/.f64 1 y) 7)) x)) (+.f64 (*.f64 -216 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (/.f64 1 y) 5)) x)) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))))) |
(*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))) |
(+.f64 (*.f64 36 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (/.f64 -1 y) 3)) x)) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))) |
(+.f64 (*.f64 216 (/.f64 (*.f64 (pow.f64 (/.f64 -1 y) 5) (sin.f64 x)) x)) (+.f64 (*.f64 36 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (/.f64 -1 y) 3)) x)) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))))) |
(+.f64 (*.f64 216 (/.f64 (*.f64 (pow.f64 (/.f64 -1 y) 5) (sin.f64 x)) x)) (+.f64 (*.f64 1296 (/.f64 (*.f64 (pow.f64 (/.f64 -1 y) 7) (sin.f64 x)) x)) (+.f64 (*.f64 36 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (/.f64 -1 y) 3)) x)) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))))) |
(/.f64 x y) |
(*.f64 -1/6 (*.f64 y x)) |
(*.f64 -1/6 (*.f64 y x)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x)) |
(+.f64 0 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))))) 1) |
(*.f64 (sin.f64 x) (/.f64 1 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))) |
(*.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) 1) |
(*.f64 1 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))))) |
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))) 2) (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))))) |
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))))) |
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))) (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))))) |
(*.f64 (/.f64 1 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) (sin.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) -2) (/.f64 (sin.f64 x) (cbrt.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) 2)) (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))))) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))))) |
(*.f64 (pow.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)) -1/2) (/.f64 (sin.f64 x) (sqrt.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))))) |
(*.f64 (/.f64 (sin.f64 x) (fma.f64 (pow.f64 (*.f64 x y) 3) -1/216 (pow.f64 (/.f64 x y) 3))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 x (*.f64 -1/6 y))) (*.f64 (pow.f64 (*.f64 x y) 2) 1/36))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2))) (-.f64 (*.f64 x (*.f64 -1/6 y)) (/.f64 x y))) |
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) 1) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) 2) 1/2) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))) 3) |
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))) 2) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)) (sin.f64 x)) -1) |
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)) 3)) 1/3) |
(pow.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)) (sin.f64 x)) 1) -1) |
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))))) |
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) 2)) |
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))))) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))))) |
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))))) |
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))) 1)) |
(+.f64 0 (*.f64 x (*.f64 -1/6 y))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 -1/6 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 -1/6 y))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 -1/6 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 -1/6 y))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 -1/6 y)))) 1) |
(pow.f64 (*.f64 x (*.f64 -1/6 y)) 1) |
(pow.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) 1/2) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 -1/6 y))) 3) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 -1/6 y))) 2) |
(pow.f64 (*.f64 (pow.f64 (*.f64 x y) 3) -1/216) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36)) |
(log.f64 (pow.f64 (exp.f64 x) (*.f64 -1/6 y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 -1/6 y))))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x y) 3) -1/216)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 -1/6 y)))) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 -1/6 y)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 -1/6 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 -1/6 y))) 1)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))) 1) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (-.f64 (*.f64 x (*.f64 -1/6 y)) (/.f64 x y))) (/.f64 (pow.f64 (/.f64 x y) 2) (-.f64 (*.f64 x (*.f64 -1/6 y)) (/.f64 x y)))) |
(*.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)) 1) |
(*.f64 1 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) |
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) 2) (cbrt.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) (sqrt.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 x y) 3) -1/216 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 x (*.f64 -1/6 y))) (*.f64 (pow.f64 (*.f64 x y) 2) 1/36)))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)) (/.f64 1 (-.f64 (*.f64 x (*.f64 -1/6 y)) (/.f64 x y)))) |
(/.f64 1 (/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 x (*.f64 -1/6 y))) (*.f64 (pow.f64 (*.f64 x y) 2) 1/36)) (fma.f64 (pow.f64 (*.f64 x y) 3) -1/216 (pow.f64 (/.f64 x y) 3)))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 x (*.f64 -1/6 y)) (/.f64 x y)) (-.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x y) 3) -1/216 (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 x (*.f64 -1/6 y))) (*.f64 (pow.f64 (*.f64 x y) 2) 1/36))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x y) 3) -1/216 (pow.f64 (/.f64 x y) 3)) (+.f64 (pow.f64 (/.f64 x y) 2) (-.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (*.f64 (*.f64 x y) (*.f64 -1/6 (/.f64 x y)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2)) (-.f64 (*.f64 x (*.f64 -1/6 y)) (/.f64 x y))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x y) 3) -1/216 (pow.f64 (/.f64 x y) 3))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 x (*.f64 -1/6 y))) (*.f64 (pow.f64 (*.f64 x y) 2) 1/36)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2))) (neg.f64 (-.f64 (*.f64 x (*.f64 -1/6 y)) (/.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (*.f64 (pow.f64 (*.f64 x y) 2) 1/36)) (-.f64 (/.f64 x y) (*.f64 x (*.f64 -1/6 y)))) |
(pow.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)) 1) |
(pow.f64 (pow.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)) 2) 1/2) |
(pow.f64 (pow.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)) 3) 1/3) |
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) 3) |
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) 2) |
(pow.f64 (/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 x (*.f64 -1/6 y))) (*.f64 (pow.f64 (*.f64 x y) 2) 1/36)) (fma.f64 (pow.f64 (*.f64 x y) 3) -1/216 (pow.f64 (/.f64 x y) 3))) -1) |
(pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 -1/6 y)) (/.f64 x y)) (-.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2))) -1) |
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)) 2)) |
(log.f64 (exp.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 -1/6 y)))) (exp.f64 (/.f64 x y)))) |
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (*.f64 -1/6 y)) (+.f64 1 (expm1.f64 (/.f64 x y))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 -1/6 y)))) (+.f64 1 (expm1.f64 (/.f64 x y))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x y))) (pow.f64 (exp.f64 x) (*.f64 -1/6 y)))) |
(log.f64 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 -1/6 y)))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x y))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 -1/6 y)))))) |
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))) |
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))) |
(exp.f64 (log.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) 1)) |
(fma.f64 x (/.f64 1 y) (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 x (*.f64 -1/6 y) (/.f64 x y)) |
(fma.f64 -1/6 (*.f64 x y) (/.f64 x y)) |
(fma.f64 y (*.f64 x -1/6) (/.f64 x y)) |
(fma.f64 (*.f64 x y) -1/6 (/.f64 x y)) |
(fma.f64 (*.f64 x (*.f64 -1/6 y)) 1 (/.f64 x y)) |
(fma.f64 (/.f64 x y) 1 (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 1 (*.f64 x (*.f64 -1/6 y)) (/.f64 x y)) |
(fma.f64 1 (/.f64 x y) (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (cbrt.f64 (/.f64 x y)) (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 y)) (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (cbrt.f64 (*.f64 x y)) -1/6) (/.f64 x y)) |
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 -1/6 y))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 -1/6 y))) 2) (/.f64 x y)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 -1/6 y))) 2) (cbrt.f64 (*.f64 x (*.f64 -1/6 y))) (/.f64 x y)) |
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 y)) (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) -1/6) (/.f64 x y)) |
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 -1/6 y))) (sqrt.f64 (*.f64 x (*.f64 -1/6 y))) (/.f64 x y)) |
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 y)) (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 (/.f64 1 y) x (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 (*.f64 -1/6 y) x (/.f64 x y)) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) y) (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 x (cbrt.f64 y)) (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 x y)) (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 (pow.f64 y -1/2) (/.f64 x (sqrt.f64 y)) (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 (*.f64 -1/6 x) y (/.f64 x y)) |
(fma.f64 (*.f64 -1/6 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (/.f64 x y)) |
(fma.f64 (*.f64 -1/6 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (/.f64 x y)) |
(fma.f64 (*.f64 (*.f64 -1/6 y) 1) x (/.f64 x y)) |
(fma.f64 (*.f64 (*.f64 -1/6 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (/.f64 x y)) |
(fma.f64 (*.f64 (*.f64 -1/6 y) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 x y)) |
| Outputs |
|---|
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) (*.f64 -1/6 (/.f64 (*.f64 x x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))))) |
(fma.f64 -1/6 (/.f64 x (/.f64 (fma.f64 y -1/6 (/.f64 1 y)) x)) (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) (fma.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) (*.f64 -1/6 (/.f64 (*.f64 x x) (+.f64 (/.f64 1 y) (*.f64 y -1/6)))))) |
(+.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) (fma.f64 -1/6 (/.f64 x (/.f64 (fma.f64 y -1/6 (/.f64 1 y)) x)) (*.f64 1/120 (/.f64 (pow.f64 x 4) (fma.f64 y -1/6 (/.f64 1 y)))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 x 6) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))) (*.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))))) |
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) (fma.f64 -1/5040 (/.f64 (pow.f64 x 6) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) (fma.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (*.f64 y -1/6))) (*.f64 -1/6 (/.f64 (*.f64 x x) (+.f64 (/.f64 1 y) (*.f64 y -1/6))))))) |
(+.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) (fma.f64 -1/5040 (/.f64 (pow.f64 x 6) (fma.f64 y -1/6 (/.f64 1 y))) (fma.f64 -1/6 (/.f64 x (/.f64 (fma.f64 y -1/6 (/.f64 1 y)) x)) (*.f64 1/120 (/.f64 (pow.f64 x 4) (fma.f64 y -1/6 (/.f64 1 y))))))) |
(+.f64 (fma.f64 -1/5040 (/.f64 (pow.f64 x 6) (fma.f64 y -1/6 (/.f64 1 y))) (*.f64 1/120 (/.f64 (pow.f64 x 4) (fma.f64 y -1/6 (/.f64 1 y))))) (fma.f64 -1/6 (/.f64 x (/.f64 (fma.f64 y -1/6 (/.f64 1 y)) x)) (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) |
(/.f64 (sin.f64 x) (fma.f64 y (*.f64 -1/6 x) (/.f64 x y))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) |
(/.f64 (sin.f64 x) (fma.f64 y (*.f64 -1/6 x) (/.f64 x y))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) |
(/.f64 (sin.f64 x) (fma.f64 y (*.f64 -1/6 x) (/.f64 x y))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)) x)) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) |
(/.f64 (sin.f64 x) (fma.f64 y (*.f64 -1/6 x) (/.f64 x y))) |
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) |
(/.f64 (sin.f64 x) (fma.f64 y (*.f64 -1/6 x) (/.f64 x y))) |
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) |
(/.f64 (sin.f64 x) (fma.f64 y (*.f64 -1/6 x) (/.f64 x y))) |
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) |
(/.f64 (sin.f64 x) (fma.f64 y (*.f64 -1/6 x) (/.f64 x y))) |
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (-.f64 (*.f64 1/6 y) (/.f64 1 y)) x))) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) |
(/.f64 (sin.f64 x) (fma.f64 y (*.f64 -1/6 x) (/.f64 x y))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x)))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x))) |
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (*.f64 (/.f64 y x) (sin.f64 x))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/36 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/36 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (fma.f64 1/36 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (*.f64 (/.f64 y x) (sin.f64 x)))) |
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (*.f64 1/216 (/.f64 (*.f64 (sin.f64 x) (pow.f64 y 7)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))) |
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (fma.f64 1/36 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (fma.f64 1/216 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 7))) (/.f64 y (/.f64 x (sin.f64 x)))))) |
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) x) (sin.f64 x)) (fma.f64 1/36 (/.f64 (pow.f64 y 5) (/.f64 x (sin.f64 x))) (fma.f64 1/216 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 7)) (*.f64 (/.f64 y x) (sin.f64 x))))) |
(fma.f64 1/6 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 3))) (fma.f64 1/36 (*.f64 (/.f64 (pow.f64 y 5) x) (sin.f64 x)) (fma.f64 1/216 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 7)) (*.f64 (/.f64 y x) (sin.f64 x))))) |
(*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))) |
(/.f64 (*.f64 -6 (sin.f64 x)) (*.f64 y x)) |
(*.f64 (/.f64 -6 y) (/.f64 (sin.f64 x) x)) |
(+.f64 (*.f64 -36 (/.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (sin.f64 x)) x)) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)))) |
(fma.f64 -36 (/.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x (sin.f64 x))) (/.f64 (*.f64 -6 (sin.f64 x)) (*.f64 y x))) |
(fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 -36 (/.f64 (/.f64 (sin.f64 x) (pow.f64 y 3)) x))) |
(fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 -36 (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y 3))))) |
(+.f64 (*.f64 -36 (/.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (sin.f64 x)) x)) (+.f64 (*.f64 -216 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (/.f64 1 y) 5)) x)) (*.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x))))) |
(fma.f64 -36 (/.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x (sin.f64 x))) (fma.f64 -216 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 (/.f64 1 y) 5))) (/.f64 (*.f64 -6 (sin.f64 x)) (*.f64 y x)))) |
(fma.f64 -36 (/.f64 (/.f64 (sin.f64 x) (pow.f64 y 3)) x) (fma.f64 -6 (/.f64 (sin.f64 x) (*.f64 y x)) (*.f64 -216 (*.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 1 y) 5))))) |
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(/.f64 (-.f64 (*.f64 1/36 (pow.f64 (*.f64 y x) 2)) (pow.f64 (/.f64 x y) 2)) (fma.f64 -1/6 (*.f64 y x) (/.f64 (neg.f64 x) y))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) 2) -1/36 (pow.f64 (/.f64 x y) 2)) (fma.f64 x (*.f64 y 1/6) (/.f64 x y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) 2) (*.f64 (pow.f64 (*.f64 x y) 2) 1/36)) (-.f64 (/.f64 x y) (*.f64 x (*.f64 -1/6 y)))) |
(/.f64 (-.f64 (*.f64 1/36 (pow.f64 (*.f64 y x) 2)) (pow.f64 (/.f64 x y) 2)) (-.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
(/.f64 (-.f64 (*.f64 1/36 (pow.f64 (*.f64 y x) 2)) (pow.f64 (/.f64 x y) 2)) (fma.f64 -1/6 (*.f64 y x) (/.f64 (neg.f64 x) y))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) 2) -1/36 (pow.f64 (/.f64 x y) 2)) (fma.f64 x (*.f64 y 1/6) (/.f64 x y))) |
(pow.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)) 1) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(pow.f64 (pow.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)) 2) 1/2) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(pow.f64 (pow.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)) 3) 1/3) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) 3) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) 2) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 x (*.f64 -1/6 y))) (*.f64 (pow.f64 (*.f64 x y) 2) 1/36)) (fma.f64 (pow.f64 (*.f64 x y) 3) -1/216 (pow.f64 (/.f64 x y) 3))) -1) |
(*.f64 (fma.f64 (pow.f64 (*.f64 y x) 3) -1/216 (pow.f64 (/.f64 x y) 3)) (/.f64 1 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) (*.f64 -1/6 (*.f64 y x))) (*.f64 1/36 (pow.f64 (*.f64 y x) 2))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) 3) -1/216 (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) (*.f64 1/6 (*.f64 y x))) (*.f64 1/36 (pow.f64 (*.f64 y x) 2)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) 3) -1/216 (pow.f64 (/.f64 x y) 3)) (fma.f64 1/36 (pow.f64 (*.f64 y x) 2) (*.f64 (/.f64 x y) (fma.f64 x (*.f64 y 1/6) (/.f64 x y))))) |
(pow.f64 (/.f64 (-.f64 (*.f64 x (*.f64 -1/6 y)) (/.f64 x y)) (-.f64 (*.f64 (pow.f64 (*.f64 x y) 2) 1/36) (pow.f64 (/.f64 x y) 2))) -1) |
(/.f64 (-.f64 (*.f64 1/36 (pow.f64 (*.f64 y x) 2)) (pow.f64 (/.f64 x y) 2)) (-.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
(/.f64 (-.f64 (*.f64 1/36 (pow.f64 (*.f64 y x) 2)) (pow.f64 (/.f64 x y) 2)) (fma.f64 -1/6 (*.f64 y x) (/.f64 (neg.f64 x) y))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) 2) -1/36 (pow.f64 (/.f64 x y) 2)) (fma.f64 x (*.f64 y 1/6) (/.f64 x y))) |
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)) 2)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(log.f64 (exp.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))))) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 -1/6 y)))) (exp.f64 (/.f64 x y)))) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (*.f64 -1/6 y)) (+.f64 1 (expm1.f64 (/.f64 x y))))) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 -1/6 y)))) (+.f64 1 (expm1.f64 (/.f64 x y))))) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x y))) (pow.f64 (exp.f64 x) (*.f64 -1/6 y)))) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(log.f64 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 -1/6 y)))))) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x y))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 -1/6 y)))))) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)) 3)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(exp.f64 (log.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y)))) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 -1/6 y) (/.f64 x y))) 1)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(fma.f64 x (/.f64 1 y) (*.f64 x (*.f64 -1/6 y))) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(fma.f64 x (*.f64 -1/6 y) (/.f64 x y)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(fma.f64 -1/6 (*.f64 x y) (/.f64 x y)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(fma.f64 y (*.f64 x -1/6) (/.f64 x y)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(fma.f64 (*.f64 x y) -1/6 (/.f64 x y)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(fma.f64 (*.f64 x (*.f64 -1/6 y)) 1 (/.f64 x y)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(fma.f64 (/.f64 x y) 1 (*.f64 x (*.f64 -1/6 y))) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(fma.f64 1 (*.f64 x (*.f64 -1/6 y)) (/.f64 x y)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(fma.f64 1 (/.f64 x y) (*.f64 x (*.f64 -1/6 y))) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(fma.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (*.f64 -1/6 (*.f64 y x))) |
(fma.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (*.f64 y (*.f64 -1/6 x))) |
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (cbrt.f64 (/.f64 x y)) (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (*.f64 -1/6 (*.f64 y x))) |
(fma.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (pow.f64 (/.f64 x y) 2)) (*.f64 y (*.f64 -1/6 x))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 y)) (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 1 y) (cbrt.f64 x)) (*.f64 -1/6 (*.f64 y x))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) y) (*.f64 y (*.f64 -1/6 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 (cbrt.f64 (*.f64 x y)) -1/6) (/.f64 x y)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 -1/6 y))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 -1/6 y))) 2) (/.f64 x y)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 -1/6 y))) 2) (cbrt.f64 (*.f64 x (*.f64 -1/6 y))) (/.f64 x y)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (*.f64 x (*.f64 -1/6 y))) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 y)) (*.f64 x (*.f64 -1/6 y))) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(fma.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) -1/6) (/.f64 x y)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 -1/6 y))) (sqrt.f64 (*.f64 x (*.f64 -1/6 y))) (/.f64 x y)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(fma.f64 (neg.f64 x) (/.f64 1 (neg.f64 y)) (*.f64 x (*.f64 -1/6 y))) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(fma.f64 (/.f64 1 y) x (*.f64 x (*.f64 -1/6 y))) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(fma.f64 (*.f64 -1/6 y) x (/.f64 x y)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) y) (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 1 y) (cbrt.f64 x)) (*.f64 -1/6 (*.f64 y x))) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (cbrt.f64 x) y) (*.f64 y (*.f64 -1/6 x))) |
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y) (*.f64 x (*.f64 -1/6 y))) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 x (cbrt.f64 y)) (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 x (cbrt.f64 y)) (*.f64 -1/6 (*.f64 y x))) |
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 x (cbrt.f64 y)) (*.f64 y (*.f64 -1/6 x))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 x y)) (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 x y)) (*.f64 -1/6 (*.f64 y x))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 x y)) (*.f64 y (*.f64 -1/6 x))) |
(fma.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (*.f64 -1/6 (*.f64 y x))) |
(fma.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) (*.f64 y (*.f64 -1/6 x))) |
(fma.f64 (pow.f64 y -1/2) (/.f64 x (sqrt.f64 y)) (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 (pow.f64 y -1/2) (/.f64 x (sqrt.f64 y)) (*.f64 -1/6 (*.f64 y x))) |
(fma.f64 (pow.f64 y -1/2) (/.f64 x (sqrt.f64 y)) (*.f64 y (*.f64 -1/6 x))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (*.f64 x (*.f64 -1/6 y))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (*.f64 -1/6 (*.f64 y x))) |
(fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) (*.f64 y (*.f64 -1/6 x))) |
(fma.f64 (*.f64 -1/6 x) y (/.f64 x y)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(fma.f64 (*.f64 -1/6 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (/.f64 x y)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(fma.f64 (*.f64 -1/6 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (/.f64 x y)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(fma.f64 (*.f64 (*.f64 -1/6 y) 1) x (/.f64 x y)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
(fma.f64 (*.f64 (*.f64 -1/6 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (/.f64 x y)) |
(fma.f64 (*.f64 -1/6 (*.f64 y (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x) (/.f64 x y)) |
(fma.f64 (*.f64 (*.f64 y -1/6) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (/.f64 x y)) |
(fma.f64 (*.f64 y (*.f64 -1/6 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x) (/.f64 x y)) |
(fma.f64 (*.f64 (*.f64 -1/6 y) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 x y)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x) |
(fma.f64 y (*.f64 -1/6 x) (/.f64 x y)) |
Compiled 7953 to 3846 computations (51.6% saved)
27 alts after pruning (16 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 493 | 12 | 505 |
| Fresh | 0 | 4 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 11 | 12 |
| Total | 495 | 27 | 522 |
| Status | Error | Program |
|---|---|---|
| 45.7b | (/.f64 (-.f64 (+.f64 1 (*.f64 (sin.f64 x) y)) 1) x) | |
| ✓ | 14.8b | (/.f64 (*.f64 (sin.f64 x) y) x) |
| ✓ | 45.4b | (/.f64 (*.f64 y x) x) |
| ✓ | 0.8b | (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
| ✓ | 1.5b | (/.f64 (sin.f64 x) (/.f64 x y)) |
| 1.2b | (/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) | |
| ✓ | 0.8b | (/.f64 y (/.f64 x (sin.f64 x))) |
| 0.8b | (/.f64 y (/.f64 1 (/.f64 (sin.f64 x) x))) | |
| ✓ | 0.9b | (/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
| 31.5b | (/.f64 y (*.f64 (/.f64 1 x) x)) | |
| 17.1b | (/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) | |
| 31.3b | (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) | |
| 45.3b | (-.f64 (+.f64 1 y) 1) | |
| 32.7b | (+.f64 y (*.f64 y (*.f64 x (*.f64 -1/6 x)))) | |
| ✓ | 0.7b | (*.f64 (/.f64 (sin.f64 x) x) y) |
| ✓ | 0.8b | (*.f64 (/.f64 y x) (sin.f64 x)) |
| 18.3b | (*.f64 (/.f64 y x) x) | |
| 45.5b | (*.f64 (/.f64 1 x) (*.f64 y x)) | |
| 61.8b | (*.f64 (*.f64 x x) (*.f64 -1/6 y)) | |
| 61.8b | (*.f64 y (*.f64 (*.f64 -1/6 x) x)) | |
| ✓ | 61.8b | (*.f64 y (*.f64 -1/6 (*.f64 x x))) |
| 18.4b | (*.f64 x (*.f64 y (/.f64 1 x))) | |
| ✓ | 31.2b | (*.f64 1 (+.f64 y (*.f64 1/6 (pow.f64 y 3)))) |
| ✓ | 31.2b | (*.f64 1 (sinh.f64 y)) |
| 61.8b | (*.f64 -1/6 (*.f64 y (*.f64 x x))) | |
| 40.9b | (sqrt.f64 (*.f64 y y)) | |
| 31.4b | y |
Compiled 240 to 165 computations (31.3% saved)
| Inputs |
|---|
y |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 (*.f64 y x) x) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 (*.f64 -1/6 x) x)) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 y (*.f64 (/.f64 1 x) x)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y) |
(+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y))) |
(+.f64 y (*.f64 y (*.f64 x (*.f64 -1/6 x)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
(sqrt.f64 (*.f64 y y)) |
(*.f64 1 (sinh.f64 y)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
(/.f64 y (/.f64 1 (/.f64 (sin.f64 x) x))) |
(*.f64 1 (+.f64 y (*.f64 1/6 (pow.f64 y 3)))) |
(/.f64 (-.f64 (+.f64 1 (*.f64 (sin.f64 x) y)) 1) x) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) |
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 (*.f64 (/.f64 1 x) (sin.f64 x)) (sinh.f64 y)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
4 calls:
| 16.0ms | (sinh.f64 y) |
| 16.0ms | x |
| 16.0ms | y |
| 11.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 0.1b | 1 | (sinh.f64 y) |
Compiled 276 to 136 computations (50.7% saved)
| Inputs |
|---|
y |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 (*.f64 y x) x) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 (*.f64 -1/6 x) x)) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 y (*.f64 (/.f64 1 x) x)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y) |
(+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y))) |
(+.f64 y (*.f64 y (*.f64 x (*.f64 -1/6 x)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
(sqrt.f64 (*.f64 y y)) |
(*.f64 1 (sinh.f64 y)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
(/.f64 y (/.f64 1 (/.f64 (sin.f64 x) x))) |
(*.f64 1 (+.f64 y (*.f64 1/6 (pow.f64 y 3)))) |
(/.f64 (-.f64 (+.f64 1 (*.f64 (sin.f64 x) y)) 1) x) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) |
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
3 calls:
| 15.0ms | (sinh.f64 y) |
| 15.0ms | y |
| 13.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | (sinh.f64 y) |
Compiled 237 to 121 computations (48.9% saved)
| Inputs |
|---|
y |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 (*.f64 y x) x) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 (*.f64 -1/6 x) x)) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 y (*.f64 (/.f64 1 x) x)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y) |
(+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y))) |
(+.f64 y (*.f64 y (*.f64 x (*.f64 -1/6 x)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
(sqrt.f64 (*.f64 y y)) |
(*.f64 1 (sinh.f64 y)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x)) |
(/.f64 y (/.f64 1 (/.f64 (sin.f64 x) x))) |
(*.f64 1 (+.f64 y (*.f64 1/6 (pow.f64 y 3)))) |
(/.f64 (-.f64 (+.f64 1 (*.f64 (sin.f64 x) y)) 1) x) |
(/.f64 (sin.f64 x) (*.f64 (+.f64 (/.f64 1 y) (*.f64 y -1/6)) x)) |
(/.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 y x)) (/.f64 x y))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) y) |
3 calls:
| 14.0ms | y |
| 14.0ms | x |
| 13.0ms | (sinh.f64 y) |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 1 | x |
| 0.7b | 1 | y |
| 0.7b | 1 | (sinh.f64 y) |
Compiled 230 to 119 computations (48.3% saved)
| Inputs |
|---|
y |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 (*.f64 y x) x) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 (*.f64 -1/6 x) x)) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 y (*.f64 (/.f64 1 x) x)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y) |
(+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y))) |
(+.f64 y (*.f64 y (*.f64 x (*.f64 -1/6 x)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
(sqrt.f64 (*.f64 y y)) |
(*.f64 1 (sinh.f64 y)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
| Outputs |
|---|
(*.f64 (/.f64 y x) (sin.f64 x)) |
3 calls:
| 11.0ms | (sinh.f64 y) |
| 10.0ms | x |
| 9.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 1 | x |
| 0.8b | 1 | y |
| 0.8b | 1 | (sinh.f64 y) |
Compiled 147 to 81 computations (44.9% saved)
| Inputs |
|---|
y |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 (*.f64 y x) x) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 (*.f64 -1/6 x) x)) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 y (*.f64 (/.f64 1 x) x)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y) |
(+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y))) |
(+.f64 y (*.f64 y (*.f64 x (*.f64 -1/6 x)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
(sqrt.f64 (*.f64 y y)) |
(*.f64 1 (sinh.f64 y)) |
| Outputs |
|---|
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
3 calls:
| 11.0ms | (sinh.f64 y) |
| 10.0ms | x |
| 9.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 17.1b | 1 | x |
| 17.1b | 1 | y |
| 17.1b | 1 | (sinh.f64 y) |
Compiled 141 to 79 computations (44% saved)
Total -43.7b remaining (-238.8%)
Threshold costs -43.7b (-238.8%)
| Inputs |
|---|
y |
(*.f64 (/.f64 y x) x) |
(-.f64 (+.f64 1 y) 1) |
(/.f64 (*.f64 y x) x) |
(*.f64 -1/6 (*.f64 y (*.f64 x x))) |
(*.f64 x (*.f64 y (/.f64 1 x))) |
(*.f64 y (*.f64 -1/6 (*.f64 x x))) |
(*.f64 y (*.f64 (*.f64 -1/6 x) x)) |
(*.f64 (*.f64 x x) (*.f64 -1/6 y)) |
(*.f64 (/.f64 1 x) (*.f64 y x)) |
(/.f64 y (*.f64 (/.f64 1 x) x)) |
(*.f64 (+.f64 1 (*.f64 -1/6 (*.f64 x x))) y) |
(+.f64 y (*.f64 -1/6 (*.f64 (*.f64 x x) y))) |
(+.f64 y (*.f64 y (*.f64 x (*.f64 -1/6 x)))) |
(+.f64 y (*.f64 (*.f64 -1/6 y) (*.f64 x x))) |
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6))) |
| Outputs |
|---|
(*.f64 (/.f64 y x) x) |
2 calls:
| 9.0ms | x |
| 8.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 18.3b | 1 | x |
| 18.3b | 1 | y |
Compiled 118 to 64 computations (45.8% saved)
| 1× | egg-herbie |
| 7× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 64 |
| 1 | 30 | 64 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
(*.f64 (/.f64 y x) x) |
y |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) y) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(/.f64 y (*.f64 (+.f64 (*.f64 1/6 x) (/.f64 1 x)) x)) |
(/.f64 y (*.f64 x (+.f64 (*.f64 x 1/6) (/.f64 1 x)))) |
(*.f64 (/.f64 y x) x) |
(*.f64 x (/.f64 y x)) |
y |
Compiled 57 to 37 computations (35.1% saved)
| 1× | egg-herbie |
| 835× | fma-neg_binary64 |
| 544× | times-frac_binary64 |
| 474× | fma-def_binary64 |
| 463× | associate-/l*_binary64 |
| 344× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 16 | 11 |
| 2 | 37 | 11 |
| 3 | 79 | 11 |
| 4 | 178 | 11 |
| 5 | 473 | 11 |
| 6 | 1474 | 11 |
| 7 | 5818 | 11 |
| 1× | node limit |
Compiled 18 to 12 computations (33.3% saved)
Compiled 45 to 19 computations (57.8% saved)
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