Time bar (total: 9.0s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 25% | 74.9% | 0.1% | 5 |
| 25% | 68.7% | 6.3% | 6 |
| 43.7% | 46.8% | 9.5% | 7 |
| 43.7% | 42.1% | 14.1% | 8 |
| 46.8% | 36.7% | 16.5% | 9 |
| 46.8% | 34% | 19.2% | 10 |
| 48.4% | 31% | 20.6% | 11 |
| 48.4% | 29.6% | 22% | 12 |
Compiled 10 to 7 computations (30% saved)
| 1.1s | 2060× | body | 1024 | valid |
| 1.1s | 5140× | body | 256 | valid |
| 1.0s | 2146× | body | 1024 | invalid |
| 432.0ms | 1051× | body | 512 | valid |
| 354.0ms | 1010× | body | 512 | invalid |
| 320.0ms | 1441× | body | 256 | invalid |
| 9.0ms | 5× | body | 2048 | valid |
| 2× | egg-herbie |
| 824× | fma-def_binary64 |
| 728× | unswap-sqr_binary64 |
| 408× | associate-/r/_binary64 |
| 389× | associate-*l/_binary64 |
| 374× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 22 |
| 1 | 28 | 22 |
| 2 | 59 | 22 |
| 3 | 121 | 22 |
| 4 | 226 | 22 |
| 5 | 375 | 22 |
| 6 | 745 | 22 |
| 7 | 2242 | 22 |
| 8 | 4624 | 22 |
| 9 | 6014 | 22 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 y) (/.f64 (sin.f64 x) x)) |
| Outputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) |
(*.f64 (cosh.f64 y) (/.f64 (sin.f64 x) x)) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 883× | fma-def_binary64 |
| 772× | unswap-sqr_binary64 |
| 444× | associate-/l*_binary64 |
| 363× | times-frac_binary64 |
| 277× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 16 | 11 |
| 2 | 33 | 11 |
| 3 | 65 | 11 |
| 4 | 120 | 11 |
| 5 | 196 | 11 |
| 6 | 385 | 11 |
| 7 | 1108 | 11 |
| 8 | 3189 | 11 |
| 9 | 3542 | 11 |
| 10 | 4066 | 11 |
| 11 | 5658 | 11 |
| 12 | 6428 | 11 |
| 13 | 7412 | 11 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Outputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) |
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) |
Compiled 16 to 8 computations (50% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) |
Compiled 9 to 6 computations (33.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) | |
| 0.0b | (/.f64 y (cosh.f64 x)) | |
| ✓ | 0.0b | (/.f64 y (cosh.f64 x)) |
| ✓ | 0.1b | (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) |
Compiled 19 to 6 computations (68.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) |
| 2.0ms | y | @ | 0 | (/.f64 y (cosh.f64 x)) |
| 2.0ms | x | @ | inf | (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) |
| 2.0ms | x | @ | 0 | (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) |
| 1.0ms | x | @ | -inf | (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) |
| 1× | batch-egg-rewrite |
| 931× | pow1_binary64 |
| 866× | add-log-exp_binary64 |
| 865× | log1p-expm1-u_binary64 |
| 865× | expm1-log1p-u_binary64 |
| 846× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 155 | 17 |
| 2 | 2266 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) |
(/.f64 y (cosh.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (/.f64 (neg.f64 y) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 y (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (sin.f64 y) (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) y) (/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 2)) (/.f64 (sin.f64 y) (cbrt.f64 (/.f64 y (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 y (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y (cosh.f64 x)))) (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 (/.f64 y (cosh.f64 x)))) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 y (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) 1) (/.f64 (cosh.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 y) y) 1) (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (/.f64 (neg.f64 y) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 y (cosh.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (cosh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) (pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 2) (cbrt.f64 (/.f64 y (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (cosh.f64 x))) (sqrt.f64 (/.f64 y (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cosh.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 y (cbrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (/.f64 y (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 y (sqrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (cosh.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 2 (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (cosh.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cosh.f64 x) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (cosh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (cosh.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cosh.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (cosh.f64 x)))))))) |
| 1× | egg-herbie |
| 575× | cancel-sign-sub-inv_binary64 |
| 492× | times-frac_binary64 |
| 431× | fma-def_binary64 |
| 412× | distribute-rgt-in_binary64 |
| 397× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 1027 |
| 1 | 228 | 1018 |
| 2 | 718 | 952 |
| 3 | 3104 | 915 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (*.f64 -1/10080 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(/.f64 (sin.f64 y) y) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)))) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
y |
(+.f64 (*.f64 -1/2 (*.f64 y (pow.f64 x 2))) y) |
(+.f64 (*.f64 -1/2 (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 y) (*.f64 -1/4 y)) (pow.f64 x 4))) y)) |
(+.f64 (*.f64 -1/2 (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 y) (*.f64 -1/4 y)) (pow.f64 x 4))) (+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/48 y) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 1/24 y) (*.f64 -1/4 y))) (*.f64 1/720 y))) (pow.f64 x 6)))))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
| Outputs |
|---|
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 y y) -1/12))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 y (*.f64 y -1/12)))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 -1/12 (*.f64 y y)))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 4) 1/240)))) |
(fma.f64 (pow.f64 y 4) (fma.f64 (exp.f64 x) 1/240 (/.f64 1/240 (exp.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 y (*.f64 y -1/12))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (+.f64 (*.f64 -1/12 (*.f64 y y)) (*.f64 1/240 (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (*.f64 -1/10080 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 -1/10080 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 6) -1/10080))))) |
(+.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 -1/10080 (pow.f64 y 6)) 1/2)) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 y (*.f64 y -1/12)) (*.f64 1/240 (pow.f64 y 4))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (+.f64 (*.f64 -1/10080 (pow.f64 y 6)) 1/2) (+.f64 (*.f64 -1/12 (*.f64 y y)) (*.f64 1/240 (pow.f64 y 4))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (sin.f64 y) y) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))) |
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (/.f64 (sin.f64 y) y)) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 x x) y) (sin.f64 y)) (/.f64 (sin.f64 y) y)) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)))) |
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))))) |
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (*.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4))))) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 x x) y) (sin.f64 y)) (fma.f64 1/24 (*.f64 (/.f64 (pow.f64 x 4) y) (sin.f64 y)) (/.f64 (sin.f64 y) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4))))) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y))))) |
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (*.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6))))))) |
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (*.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6)))))) |
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 (*.f64 x x) y) (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/24 (pow.f64 x 4)))) (fma.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6)) (/.f64 (sin.f64 y) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/24 (*.f64 (/.f64 (pow.f64 x 4) y) (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (*.f64 x x)))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
y |
(+.f64 (*.f64 -1/2 (*.f64 y (pow.f64 x 2))) y) |
(fma.f64 -1/2 (*.f64 y (*.f64 x x)) y) |
(fma.f64 -1/2 (*.f64 x (*.f64 x y)) y) |
(fma.f64 y (*.f64 x (*.f64 x -1/2)) y) |
(+.f64 (*.f64 -1/2 (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 y) (*.f64 -1/4 y)) (pow.f64 x 4))) y)) |
(fma.f64 -1/2 (*.f64 y (*.f64 x x)) (fma.f64 -1 (*.f64 (pow.f64 x 4) (*.f64 y -5/24)) y)) |
(fma.f64 -1/2 (*.f64 x (*.f64 x y)) (-.f64 y (*.f64 y (*.f64 -5/24 (pow.f64 x 4))))) |
(fma.f64 y (*.f64 x (*.f64 x -1/2)) (fma.f64 (pow.f64 x 4) (*.f64 y 5/24) y)) |
(+.f64 y (*.f64 y (fma.f64 x (*.f64 x -1/2) (*.f64 (pow.f64 x 4) 5/24)))) |
(+.f64 (*.f64 -1/2 (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 y) (*.f64 -1/4 y)) (pow.f64 x 4))) (+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/48 y) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 1/24 y) (*.f64 -1/4 y))) (*.f64 1/720 y))) (pow.f64 x 6)))))) |
(fma.f64 -1/2 (*.f64 y (*.f64 x x)) (+.f64 (fma.f64 -1 (*.f64 (pow.f64 x 4) (*.f64 y -5/24)) y) (neg.f64 (*.f64 (pow.f64 x 6) (fma.f64 -1/48 y (fma.f64 -1/2 (*.f64 y -5/24) (*.f64 y 1/720))))))) |
(fma.f64 -1/2 (*.f64 x (*.f64 x y)) (-.f64 (-.f64 y (*.f64 y (*.f64 -5/24 (pow.f64 x 4)))) (*.f64 (pow.f64 x 6) (fma.f64 y -1/48 (fma.f64 y 1/720 (*.f64 y 5/48)))))) |
(-.f64 (fma.f64 y (*.f64 x (*.f64 x -1/2)) (fma.f64 (pow.f64 x 4) (*.f64 y 5/24) y)) (*.f64 (pow.f64 x 6) (fma.f64 y 5/48 (*.f64 y -7/360)))) |
(+.f64 (-.f64 y (*.f64 (pow.f64 x 6) (*.f64 y 61/720))) (*.f64 y (fma.f64 x (*.f64 x -1/2) (*.f64 (pow.f64 x 4) 5/24)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(/.f64 (*.f64 y 2) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
Compiled 1416 to 596 computations (57.9% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 86 | 13 | 99 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 86 | 14 | 100 |
| Status | Error | Program |
|---|---|---|
| 0.2b | (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) | |
| 33.0b | (/.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (/.f64 y (cosh.f64 x))) 2)) | |
| 32.6b | (*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y))) | |
| 33.4b | (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 -1/12 (*.f64 y y)))) | |
| ✓ | 0.1b | (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) |
| ▶ | 1.2b | (/.f64 (sin.f64 y) y) |
| ▶ | 21.3b | (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)) |
| ▶ | 0.2b | (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1) |
| 1.2b | (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 3)) | |
| 18.7b | (pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2) | |
| ▶ | 0.8b | (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3) |
| 33.0b | (*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (cosh.f64 x)))) (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y (cosh.f64 x))))) | |
| 1.4b | (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y))) | |
| ▶ | 1.2b | (/.f64 (sin.f64 y) (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (cosh.f64 x)))) |
Compiled 343 to 236 computations (31.2% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1) | |
| 0.1b | (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) | |
| 0.0b | (*.f64 (sin.f64 y) (cosh.f64 x)) | |
| ✓ | 0.0b | (*.f64 (sin.f64 y) (cosh.f64 x)) |
| ✓ | 0.1b | (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) |
| ✓ | 0.1b | (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1) |
Compiled 30 to 9 computations (70% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1) |
| 2.0ms | y | @ | 0 | (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1) |
| 2.0ms | x | @ | -inf | (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1) |
| 1.0ms | x | @ | inf | (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1) |
| 1.0ms | y | @ | -inf | (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1) |
| 1× | batch-egg-rewrite |
| 492× | log-prod_binary64 |
| 385× | exp-prod_binary64 |
| 321× | prod-exp_binary64 |
| 279× | pow-prod-down_binary64 |
| 250× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 33 |
| 1 | 190 | 30 |
| 2 | 2513 | 30 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1) |
(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) |
(*.f64 (sin.f64 y) (cosh.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 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| 1× | egg-herbie |
| 919× | fma-def_binary64 |
| 576× | associate-*r*_binary64 |
| 555× | associate-*l*_binary64 |
| 435× | distribute-rgt-in_binary64 |
| 426× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 2009 |
| 1 | 465 | 1964 |
| 2 | 1648 | 1779 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/72 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 7/720 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (+.f64 (*.f64 -1/72 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 7/720 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) (+.f64 (*.f64 31/30240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 -7/4320 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) (pow.f64 y 6))) (+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/72 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 7/720 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(/.f64 (sin.f64 y) y) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 y (sin.f64 y))) (*.f64 1/24 (/.f64 y (sin.f64 y)))) (pow.f64 (sin.f64 y) 2)) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (sin.f64 y) y))) (pow.f64 x 4))))) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/720 (/.f64 y (sin.f64 y))) (+.f64 (*.f64 -1/48 (/.f64 y (sin.f64 y))) (*.f64 -1/2 (+.f64 (*.f64 -1/4 (/.f64 y (sin.f64 y))) (*.f64 1/24 (/.f64 y (sin.f64 y))))))) (pow.f64 (sin.f64 y) 2)) (pow.f64 y 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 y (sin.f64 y))) (*.f64 1/24 (/.f64 y (sin.f64 y)))) (pow.f64 (sin.f64 y) 2)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 y (sin.f64 y))) (*.f64 1/24 (/.f64 y (sin.f64 y)))) (pow.f64 (sin.f64 y) 2)) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (sin.f64 y) y)))))) (pow.f64 x 6))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 y (sin.f64 y))) (*.f64 1/24 (/.f64 y (sin.f64 y)))) (pow.f64 (sin.f64 y) 2)) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (sin.f64 y) y))) (pow.f64 x 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(/.f64 2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) |
(+.f64 (*.f64 7/180 (/.f64 (pow.f64 y 4) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) |
(+.f64 (*.f64 31/7560 (/.f64 (pow.f64 y 6) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (+.f64 (*.f64 7/180 (/.f64 (pow.f64 y 4) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 y 2) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (*.f64 2 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))) |
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))) |
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))) |
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))) |
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))) |
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))) |
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))) |
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))) |
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))) |
(/.f64 y (sin.f64 y)) |
(+.f64 (/.f64 y (sin.f64 y)) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 x 2)) (sin.f64 y)))) |
(+.f64 (/.f64 y (sin.f64 y)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 y (sin.f64 y))) (*.f64 1/24 (/.f64 y (sin.f64 y)))) (pow.f64 x 4))) (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 x 2)) (sin.f64 y))))) |
(+.f64 (/.f64 y (sin.f64 y)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 y (sin.f64 y))) (*.f64 1/24 (/.f64 y (sin.f64 y)))) (pow.f64 x 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y (pow.f64 x 2)) (sin.f64 y))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/720 (/.f64 y (sin.f64 y))) (+.f64 (*.f64 -1/48 (/.f64 y (sin.f64 y))) (*.f64 -1/2 (+.f64 (*.f64 -1/4 (/.f64 y (sin.f64 y))) (*.f64 1/24 (/.f64 y (sin.f64 y))))))) (pow.f64 x 6)))))) |
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))) |
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))) |
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))) |
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))) |
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))) |
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))) |
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))) |
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 3))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))) |
(+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 5))) (+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 3))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)))) |
(+.f64 (*.f64 -1/10080 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 7))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 5))) (+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 3))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))))) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(sin.f64 y) |
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y)) |
(+.f64 (*.f64 1/24 (*.f64 (sin.f64 y) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))) |
(+.f64 (*.f64 1/720 (*.f64 (sin.f64 y) (pow.f64 x 6))) (+.f64 (*.f64 1/24 (*.f64 (sin.f64 y) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
| Outputs |
|---|
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 y y) -1/12))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 -1/12 (*.f64 y y)))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/72 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 7/720 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 -1 (*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/240) (pow.f64 y 4)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (-.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 -1/240 (pow.f64 y 4))))) |
(fma.f64 (*.f64 y y) (fma.f64 (exp.f64 x) -1/12 (/.f64 -1/12 (exp.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 1/2 (*.f64 (pow.f64 y 4) -1/240)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/6 (+.f64 (*.f64 -1/72 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 7/720 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) (+.f64 (*.f64 31/30240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 -7/4320 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) (pow.f64 y 6))) (+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/72 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 7/720 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) |
(fma.f64 -1 (*.f64 (fma.f64 -1/6 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/240) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/1680)) (pow.f64 y 6)) (fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 -1 (*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/240) (pow.f64 y 4)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(-.f64 (fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (-.f64 (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 -1/240 (pow.f64 y 4))))) (*.f64 (fma.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/1680 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/1440)) (pow.f64 y 6))) |
(-.f64 (fma.f64 (*.f64 y y) (fma.f64 (exp.f64 x) -1/12 (/.f64 -1/12 (exp.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 1/2 (*.f64 (pow.f64 y 4) -1/240)))) (*.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/10080) (pow.f64 y 6))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (sin.f64 y) y) |
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(*.f64 2 (/.f64 y (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y))) |
(*.f64 2 (/.f64 y (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)))) |
(*.f64 2 (/.f64 y (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y)))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) |
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 3))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 3)) (*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))) |
(fma.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 3) -1/12))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 1/2 y) (*.f64 -1/12 (pow.f64 y 3)))) |
(+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 5))) (+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 3))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)))) |
(fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 5)) (fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 3)) (*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)))) |
(fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 5)) (fma.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 3) -1/12)))) |
(fma.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 -1/12 (pow.f64 y 3)) (*.f64 1/240 (pow.f64 y 5))))) |
(+.f64 (*.f64 -1/10080 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 7))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 5))) (+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 3))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))))) |
(fma.f64 -1/10080 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 7)) (fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 5)) (fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 3)) (*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))))) |
(fma.f64 -1/10080 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 7)) (fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 5)) (fma.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 3) -1/12))))) |
(+.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 1/2 y) (*.f64 -1/12 (pow.f64 y 3)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 1/240 (pow.f64 y 5)) (*.f64 -1/10080 (pow.f64 y 7))))) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/2 (sin.f64 y))) |
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/2 (sin.f64 y))) |
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/2 (sin.f64 y))) |
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/2 (sin.f64 y))) |
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/2 (sin.f64 y))) |
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/2 (sin.f64 y))) |
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/2 (sin.f64 y))) |
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/2 (sin.f64 y))) |
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) |
(sin.f64 y) |
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y)) |
(fma.f64 1/2 (*.f64 (sin.f64 y) (*.f64 x x)) (sin.f64 y)) |
(fma.f64 1/2 (*.f64 x (*.f64 x (sin.f64 y))) (sin.f64 y)) |
(*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)) |
(+.f64 (*.f64 1/24 (*.f64 (sin.f64 y) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y))) |
(fma.f64 1/24 (*.f64 (sin.f64 y) (pow.f64 x 4)) (fma.f64 1/2 (*.f64 (sin.f64 y) (*.f64 x x)) (sin.f64 y))) |
(fma.f64 1/24 (*.f64 (sin.f64 y) (pow.f64 x 4)) (fma.f64 1/2 (*.f64 x (*.f64 x (sin.f64 y))) (sin.f64 y))) |
(+.f64 (sin.f64 y) (*.f64 (sin.f64 y) (+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 1/24 (pow.f64 x 4))))) |
(+.f64 (*.f64 1/720 (*.f64 (sin.f64 y) (pow.f64 x 6))) (+.f64 (*.f64 1/24 (*.f64 (sin.f64 y) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y)))) |
(fma.f64 1/720 (*.f64 (sin.f64 y) (pow.f64 x 6)) (fma.f64 1/24 (*.f64 (sin.f64 y) (pow.f64 x 4)) (fma.f64 1/2 (*.f64 (sin.f64 y) (*.f64 x x)) (sin.f64 y)))) |
(fma.f64 1/720 (*.f64 (sin.f64 y) (pow.f64 x 6)) (fma.f64 1/24 (*.f64 (sin.f64 y) (pow.f64 x 4)) (fma.f64 1/2 (*.f64 x (*.f64 x (sin.f64 y))) (sin.f64 y)))) |
(+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)) (*.f64 (sin.f64 y) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/2 (sin.f64 y))) |
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/2 (sin.f64 y))) |
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/2 (sin.f64 y))) |
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/2 (sin.f64 y))) |
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/2 (sin.f64 y))) |
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/2 (sin.f64 y))) |
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/2 (sin.f64 y))) |
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) |
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/2 (sin.f64 y))) |
(*.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (sin.f64 y)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 (sin.f64 y) y) | |
| ✓ | 0.1b | (/.f64 (sin.f64 y) y) |
Compiled 9 to 4 computations (55.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/.f64 (sin.f64 y) y) |
| 1.0ms | y | @ | 0 | (/.f64 (sin.f64 y) y) |
| 0.0ms | y | @ | inf | (/.f64 (sin.f64 y) y) |
| 1× | batch-egg-rewrite |
| 468× | pow1_binary64 |
| 448× | add-sqr-sqrt_binary64 |
| 442× | *-un-lft-identity_binary64 |
| 434× | add-log-exp_binary64 |
| 434× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 6 |
| 1 | 84 | 6 |
| 2 | 1137 | 6 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 y) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y))))))) |
| 1× | egg-herbie |
| 1583× | fma-def_binary64 |
| 745× | sqr-pow_binary64 |
| 417× | cube-prod_binary64 |
| 376× | *-commutative_binary64 |
| 372× | pow-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 52 |
| 1 | 43 | 50 |
| 2 | 99 | 46 |
| 3 | 293 | 46 |
| 4 | 1090 | 46 |
| 5 | 2847 | 46 |
| 6 | 3432 | 46 |
| 7 | 3660 | 46 |
| 8 | 3855 | 46 |
| 9 | 4106 | 46 |
| 10 | 4421 | 46 |
| 11 | 5722 | 46 |
| 12 | 6139 | 46 |
| 13 | 6631 | 46 |
| 14 | 7236 | 46 |
| 15 | 7490 | 46 |
| 16 | 7736 | 46 |
| 17 | 7996 | 46 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 y y))) |
(fma.f64 -1/6 (*.f64 y y) 1) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))) |
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/120) -1/6) 1) |
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))) |
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) (fma.f64 -1/5040 (pow.f64 y 6) 1)) |
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))) |
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/5040 (pow.f64 y 6) 1))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y 1/120) -1/6)) (fma.f64 -1/5040 (pow.f64 y 6) 1)) |
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/120) -1/6) 1)) |
(fma.f64 y (*.f64 y (fma.f64 (pow.f64 y 4) -1/5040 -1/6)) (fma.f64 1/120 (pow.f64 y 4) 1)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3) | |
| 0.4b | (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) | |
| 0.2b | (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) | |
| 0.0b | (/.f64 (cosh.f64 x) y) | |
| ✓ | 0.0b | (/.f64 (cosh.f64 x) y) |
| ✓ | 0.2b | (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) |
| ✓ | 0.4b | (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) |
| ✓ | 0.4b | (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3) |
Compiled 38 to 10 computations (73.7% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3) |
| 12.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3) |
| 4.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3) |
| 4.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3) |
| 2.0ms | y | @ | 0 | (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) |
| 1× | batch-egg-rewrite |
| 487× | log-prod_binary64 |
| 364× | exp-prod_binary64 |
| 355× | prod-exp_binary64 |
| 305× | pow-prod-down_binary64 |
| 250× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 41 |
| 1 | 217 | 41 |
| 2 | 2526 | 41 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3) |
(cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) |
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) |
(/.f64 (cosh.f64 x) y) |
| Outputs |
|---|
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(cosh.f64 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cosh.f64 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (cosh.f64 x) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (cosh.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 x) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (cosh.f64 x)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (cosh.f64 x)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (cosh.f64 x)) 1) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (cosh.f64 x)) 1) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 (cosh.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) y))))))) |
| 1× | egg-herbie |
| 872× | times-frac_binary64 |
| 638× | distribute-rgt-in_binary64 |
| 633× | distribute-lft-in_binary64 |
| 567× | associate-/l*_binary64 |
| 261× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 244 | 3100 |
| 1 | 815 | 2927 |
| 2 | 3108 | 2650 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/36 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (*.f64 -1/18 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3)))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/36 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (*.f64 -1/18 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (*.f64 (+.f64 (*.f64 1/324 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) (*.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (*.f64 (cbrt.f64 1/2) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (*.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (cbrt.f64 1/2)))) (*.f64 1/1296 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) 1) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))))))) (pow.f64 y 4)))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/36 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (*.f64 -1/18 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (/.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (*.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (cbrt.f64 1/2)))) (*.f64 1/1296 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) 1) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (*.f64 (+.f64 (*.f64 -1/54 (*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (*.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (cbrt.f64 1/2) 4)))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (*.f64 -1/10080 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (+.f64 (*.f64 -1/46656 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (cbrt.f64 1/2) 6))) (*.f64 -1/9 (-.f64 (*.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))) (cbrt.f64 1/2))))) (cbrt.f64 1/2))) (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/10080 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (+.f64 (*.f64 -1/46656 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (cbrt.f64 1/2) 6))) (*.f64 -1/9 (-.f64 (*.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))) (pow.f64 1 1/3)))))) (pow.f64 y 6)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (*.f64 (+.f64 (*.f64 1/324 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) (*.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (*.f64 (cbrt.f64 1/2) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (*.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (cbrt.f64 1/2)))) (*.f64 1/1296 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) 1) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))))))) (pow.f64 y 4))))) |
(*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)) |
(+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))) (*.f64 1/6 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)))) (pow.f64 x 2))) |
(+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))) (*.f64 1/6 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 1/24 (/.f64 (sin.f64 y) y)) (*.f64 1/12 (/.f64 (sin.f64 y) y))) (pow.f64 1 1/3))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 y)) y) 1/3) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 y 2)) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 y) (sin.f64 y)) 1/3) (-.f64 (*.f64 1/24 (/.f64 (sin.f64 y) y)) (*.f64 1/12 (/.f64 (sin.f64 y) y))))))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))))) (pow.f64 x 4)))) |
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 y)) y) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (*.f64 1 y) (sin.f64 y)) 1/3) (-.f64 (*.f64 1/24 (/.f64 (sin.f64 y) y)) (*.f64 1/12 (/.f64 (sin.f64 y) y))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 y) (sin.f64 y)) 1/3) (-.f64 (*.f64 1/720 (/.f64 (sin.f64 y) y)) (+.f64 (*.f64 1/216 (/.f64 (sin.f64 y) y)) (*.f64 1/3 (-.f64 (*.f64 1/24 (/.f64 (sin.f64 y) y)) (*.f64 1/12 (/.f64 (sin.f64 y) y)))))))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 y)) y) 1/3) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 y 2)) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 y) (sin.f64 y)) 1/3) (-.f64 (*.f64 1/24 (/.f64 (sin.f64 y) y)) (*.f64 1/12 (/.f64 (sin.f64 y) y)))))))) (+.f64 (*.f64 1/9 (*.f64 (-.f64 (*.f64 1/24 (/.f64 (sin.f64 y) y)) (*.f64 1/12 (/.f64 (sin.f64 y) y))) (pow.f64 1 1/3))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/720 (/.f64 (sin.f64 y) y)) (+.f64 (*.f64 1/216 (/.f64 (sin.f64 y) y)) (*.f64 1/3 (-.f64 (*.f64 1/24 (/.f64 (sin.f64 y) y)) (*.f64 1/12 (/.f64 (sin.f64 y) y))))))))))) (pow.f64 x 6)) (+.f64 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))) (*.f64 1/6 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 1/24 (/.f64 (sin.f64 y) y)) (*.f64 1/12 (/.f64 (sin.f64 y) y))) (pow.f64 1 1/3))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 y)) y) 1/3) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 y) 2)) (pow.f64 y 2)) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 y) (sin.f64 y)) 1/3) (-.f64 (*.f64 1/24 (/.f64 (sin.f64 y) y)) (*.f64 1/12 (/.f64 (sin.f64 y) y))))))) (*.f64 1/18 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y))))) (pow.f64 x 4))))) |
(*.f64 1/2 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3))) |
(*.f64 1/2 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3))) |
(*.f64 1/2 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3))) |
(*.f64 1/2 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3))) |
(*.f64 1/2 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3))) |
(*.f64 1/2 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3))) |
(*.f64 1/2 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3))) |
(*.f64 1/2 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y) (pow.f64 1 1/3))) |
(*.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2)) |
(+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/2) 2)))) (*.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2))) |
(+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) 1/3) (/.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) (pow.f64 (cbrt.f64 1/2) 2)))) (*.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2)))) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) 1/3) (/.f64 (*.f64 (-.f64 (*.f64 -1/10080 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (+.f64 (*.f64 -1/46656 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (cbrt.f64 1/2) 6))) (*.f64 -1/9 (-.f64 (*.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))) (pow.f64 y 6)) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (/.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) 1/3) (/.f64 (*.f64 (pow.f64 y 4) (-.f64 (*.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) (pow.f64 (cbrt.f64 1/2) 2)))) (*.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (cbrt.f64 1/2))))) |
(pow.f64 (/.f64 (sin.f64 y) y) 1/3) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 y)) y) 1/3) (pow.f64 x 2))) (pow.f64 (/.f64 (sin.f64 y) y) 1/3)) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 y)) y) 1/3) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 (*.f64 1/24 (/.f64 (sin.f64 y) y)) (*.f64 1/12 (/.f64 (sin.f64 y) y))) (pow.f64 x 4)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 2)) (pow.f64 (sin.f64 y) 2)) 1/3))) (pow.f64 (/.f64 (sin.f64 y) y) 1/3))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 y)) y) 1/3) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 (*.f64 1/24 (/.f64 (sin.f64 y) y)) (*.f64 1/12 (/.f64 (sin.f64 y) y))) (pow.f64 x 4)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 2)) (pow.f64 (sin.f64 y) 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 2)) (pow.f64 (sin.f64 y) 2)) 1/3) (*.f64 (-.f64 (*.f64 1/720 (/.f64 (sin.f64 y) y)) (+.f64 (*.f64 1/216 (/.f64 (sin.f64 y) y)) (*.f64 1/3 (-.f64 (*.f64 1/24 (/.f64 (sin.f64 y) y)) (*.f64 1/12 (/.f64 (sin.f64 y) y)))))) (pow.f64 x 6)))) (pow.f64 (/.f64 (sin.f64 y) y) 1/3)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2)) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2)) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2)) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2)) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2)) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2)) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2)) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 1 (sin.f64 y))) y) 1/3) (cbrt.f64 1/2)) |
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (*.f64 -1/10080 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(/.f64 (sin.f64 y) y) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)))) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 4) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/720 (/.f64 (pow.f64 x 6) y)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 4) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))))) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
| Outputs |
|---|
(*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) |
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/36 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (*.f64 -1/18 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))))) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3)))) |
(fma.f64 (*.f64 y y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/12) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 -1/12 (*.f64 y y)))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 -1/12 (*.f64 y y)) 1/2)) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/36 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (*.f64 -1/18 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (*.f64 (+.f64 (*.f64 1/324 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) (*.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (*.f64 (cbrt.f64 1/2) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (*.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (cbrt.f64 1/2)))) (*.f64 1/1296 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) 1) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))))))) (pow.f64 y 4)))) |
(fma.f64 (*.f64 y y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/12) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (fma.f64 1/324 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 1/3 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (cbrt.f64 1/2) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160) (cbrt.f64 1/2))) (*.f64 1/1296 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))))))) (pow.f64 y 4)))) |
(fma.f64 (*.f64 y y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/12) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (fma.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/324 (fma.f64 1/3 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160) (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (cbrt.f64 1/2) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (cbrt.f64 1/2) -1/2160))) (*.f64 1/1296 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (*.f64 1/2 (cbrt.f64 1/2))))))))) (pow.f64 y 4)))) |
(+.f64 (*.f64 (fma.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/324 (fma.f64 1/3 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -1/2160) (*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (cbrt.f64 1/2)) -1/2160)) (*.f64 1/648 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (cbrt.f64 1/2)))))))) (pow.f64 y 4)) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 -1/12 (*.f64 y y)) 1/2))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/36 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (*.f64 -1/18 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (/.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (*.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (cbrt.f64 1/2)))) (*.f64 1/1296 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) 1) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (*.f64 (+.f64 (*.f64 -1/54 (*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (*.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (pow.f64 (cbrt.f64 1/2) 4)))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (*.f64 -1/10080 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (+.f64 (*.f64 -1/46656 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (cbrt.f64 1/2) 6))) (*.f64 -1/9 (-.f64 (*.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))) (cbrt.f64 1/2))))) (cbrt.f64 1/2))) (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/10080 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (+.f64 (*.f64 -1/46656 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (cbrt.f64 1/2) 6))) (*.f64 -1/9 (-.f64 (*.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))) (pow.f64 1 1/3)))))) (pow.f64 y 6)) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (*.f64 (+.f64 (*.f64 1/324 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 1 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) (*.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1) 1/3) (*.f64 (cbrt.f64 1/2) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) 1/3) (/.f64 (-.f64 (*.f64 1/240 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) (*.f64 1/216 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (cbrt.f64 1/2)))) (*.f64 1/1296 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2) 1) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))))))))) (pow.f64 y 4))))) |
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(*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
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(fma.f64 (*.f64 1/2 (/.f64 (sin.f64 y) y)) (*.f64 x x) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (*.f64 1/2 (*.f64 x x)))) |
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(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) (*.f64 (/.f64 (pow.f64 y 6) (pow.f64 (cbrt.f64 1/2) 2)) (-.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) -41/272160) (*.f64 -1/11664 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))) (*.f64 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) -1/2160)) (pow.f64 y 4)) 1/3)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (*.f64 -1/36 (/.f64 (*.f64 y y) (pow.f64 (cbrt.f64 1/2) 2))) (cbrt.f64 1/2))))) |
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(+.f64 (*.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (*.f64 1/2 (*.f64 x x)))) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (*.f64 (*.f64 (sin.f64 y) 1/720) (/.f64 (pow.f64 x 6) y)))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (*.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (*.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (*.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (*.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (*.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (*.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (*.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (*.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y))))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) y))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y)) |
(fma.f64 1/2 (*.f64 x (/.f64 x y)) (/.f64 1 y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 4) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (*.f64 1/2 (/.f64 (*.f64 x x) y)))) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 4) y)) (fma.f64 1/2 (/.f64 (*.f64 x x) y) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (fma.f64 1/2 (*.f64 x (/.f64 x y)) (*.f64 (pow.f64 x 4) (/.f64 1/24 y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/720 (/.f64 (pow.f64 x 6) y)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 4) y)) (*.f64 1/2 (/.f64 (pow.f64 x 2) y))))) |
(+.f64 (/.f64 1 y) (fma.f64 1/720 (/.f64 (pow.f64 x 6) y) (fma.f64 1/24 (/.f64 (pow.f64 x 4) y) (*.f64 1/2 (/.f64 (*.f64 x x) y))))) |
(+.f64 (/.f64 1 y) (fma.f64 1/720 (/.f64 (pow.f64 x 6) y) (fma.f64 1/2 (/.f64 (*.f64 x x) y) (*.f64 1/24 (/.f64 (pow.f64 x 4) y))))) |
(+.f64 (/.f64 1 y) (fma.f64 1/720 (/.f64 (pow.f64 x 6) y) (fma.f64 1/2 (*.f64 x (/.f64 x y)) (*.f64 (pow.f64 x 4) (/.f64 1/24 y))))) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) |
(*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 21.4b | (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)) | |
| 0.2b | (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) | |
| 0.1b | (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3) | |
| 0.0b | (/.f64 (cosh.f64 x) y) | |
| 0.0b | (/.f64 (cosh.f64 x) y) | |
| ✓ | 0.1b | (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3) |
| 0.2b | (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) | |
| ✓ | 21.4b | (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)) |
Compiled 39 to 12 computations (69.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3) |
| 3.0ms | y | @ | -inf | (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)) |
| 2.0ms | y | @ | 0 | (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3) |
| 1.0ms | y | @ | -inf | (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3) |
| 1.0ms | y | @ | inf | (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3) |
| 1× | batch-egg-rewrite |
| 497× | log-prod_binary64 |
| 383× | prod-exp_binary64 |
| 363× | exp-prod_binary64 |
| 309× | pow-prod-down_binary64 |
| 252× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 219 | 25 |
| 2 | 2592 | 25 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)) |
(pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cosh.f64 x) (*.f64 (/.f64 1 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2) (*.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 2)) (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) 1) (/.f64 (cosh.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)) (cbrt.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (sqrt.f64 (/.f64 (cosh.f64 x) y))) (sqrt.f64 (/.f64 (cosh.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cosh.f64 x) y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) 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| 1× | egg-herbie |
| 635× | distribute-lft-in_binary64 |
| 635× | distribute-rgt-in_binary64 |
| 594× | times-frac_binary64 |
| 498× | associate-+l+_binary64 |
| 453× | associate-+r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 1810 |
| 1 | 446 | 1688 |
| 2 | 1790 | 1489 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (*.f64 -1/10080 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y)) |
(*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y)) |
(*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y)) |
(*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y)) |
(/.f64 (sin.f64 y) y) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)))) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) |
(+.f64 (*.f64 1/8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) (*.f64 -1/48 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))) (pow.f64 y 2))) |
(+.f64 (*.f64 1/8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) (*.f64 -1/48 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))) (pow.f64 y 2)) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/144 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) (+.f64 (*.f64 1/960 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 (*.f64 1/144 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) (*.f64 1/240 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)))))))))) |
(+.f64 (*.f64 1/8 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) (*.f64 -1/48 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))) (pow.f64 y 2)) (+.f64 (*.f64 (pow.f64 y 6) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 (*.f64 -1/1440 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) (*.f64 -1/10080 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))))) (+.f64 (*.f64 -1/2880 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) (+.f64 (*.f64 -1/40320 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 (*.f64 1/144 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) (*.f64 1/240 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))))))))) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 1/144 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) (+.f64 (*.f64 1/960 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3)) (*.f64 1/2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (+.f64 (*.f64 1/144 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)) (*.f64 1/240 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))))))))))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3))) |
(/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)) |
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))) (pow.f64 x 2)) (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))) |
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))) (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)) (*.f64 (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))) (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 1/12 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))) (sin.f64 y)) y))) (pow.f64 x 4)))) |
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 x 6) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 1/360 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))) (sin.f64 y)) y) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 1/12 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))) (sin.f64 y)) y)) (*.f64 1/720 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))))))) (+.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)) (*.f64 (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))) (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 1/12 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))) (sin.f64 y)) y))) (pow.f64 x 4))))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3))) |
| Outputs |
|---|
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 y y) -1/12))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 -1/12 (*.f64 y y)))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 4) 1/240)))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 1/240 (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (*.f64 -1/10080 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 -1/10080 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 6) -1/10080))))) |
(+.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 -1/10080 (pow.f64 y 6)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 -1/12 (*.f64 y y)) (*.f64 1/240 (pow.f64 y 4))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y)) |
(*.f64 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (*.f64 (sin.f64 y) (cbrt.f64 -1))))) |
(*.f64 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y (sin.f64 y)) (cbrt.f64 -1)))) |
(*.f64 -1/2 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 -1))) |
(*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y)) |
(*.f64 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (*.f64 (sin.f64 y) (cbrt.f64 -1))))) |
(*.f64 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y (sin.f64 y)) (cbrt.f64 -1)))) |
(*.f64 -1/2 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 -1))) |
(*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y)) |
(*.f64 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (*.f64 (sin.f64 y) (cbrt.f64 -1))))) |
(*.f64 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y (sin.f64 y)) (cbrt.f64 -1)))) |
(*.f64 -1/2 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 -1))) |
(*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (cbrt.f64 -1) (sin.f64 y))) y)) |
(*.f64 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (*.f64 (sin.f64 y) (cbrt.f64 -1))))) |
(*.f64 -1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 y (sin.f64 y)) (cbrt.f64 -1)))) |
(*.f64 -1/2 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (cbrt.f64 -1))) |
(/.f64 (sin.f64 y) y) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (*.f64 x x)) y))) |
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (/.f64 (sin.f64 y) y)) |
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 (/.f64 y x) x)) (/.f64 (sin.f64 y) y)) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)))) |
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (*.f64 x x)) y) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)))) |
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (/.f64 1/24 (/.f64 y (*.f64 (sin.f64 y) (pow.f64 x 4)))))) |
(+.f64 (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 (/.f64 y x) x)) (/.f64 (sin.f64 y) y)) (*.f64 1/24 (/.f64 (pow.f64 x 4) (/.f64 y (sin.f64 y))))) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y))))) |
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (*.f64 x x)) y) (fma.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y))))) |
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (fma.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6)) (/.f64 1/24 (/.f64 y (*.f64 (sin.f64 y) (pow.f64 x 4))))))) |
(+.f64 (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 (/.f64 y x) x)) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (/.f64 (pow.f64 x 4) (/.f64 y (sin.f64 y))) (*.f64 (/.f64 1/720 y) (*.f64 (sin.f64 y) (pow.f64 x 6))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
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(+.f64 (*.f64 (pow.f64 x 4) (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 y y)) (/.f64 y 1/3)) (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 13/24))) (*.f64 (+.f64 (*.f64 (*.f64 x x) 3/2) 1) (pow.f64 (/.f64 (sin.f64 y) y) 3))) |
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 x 6) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 1/360 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))) (sin.f64 y)) y) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 1/12 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))) (sin.f64 y)) y)) (*.f64 1/720 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))))))) (+.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)) (*.f64 (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))) (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2))) (*.f64 1/12 (/.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 y 2)))) (sin.f64 y)) y))) (pow.f64 x 4))))) |
(fma.f64 (*.f64 3/2 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))) (*.f64 x x) (fma.f64 (pow.f64 x 6) (+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y)) 2/45) (/.f64 y (sin.f64 y))) (fma.f64 1/24 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y)) 1/3) (/.f64 y (sin.f64 y))) (/.f64 (*.f64 1/720 (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3))))) (+.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)) (*.f64 (pow.f64 x 4) (fma.f64 1/24 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) 2) (*.f64 y y)) 1/3) (/.f64 y (sin.f64 y))))))))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 3/2 (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3)) (fma.f64 (pow.f64 x 6) (+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 2/45) (*.f64 y y)) (/.f64 y (sin.f64 y))) (fma.f64 1/24 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)) (fma.f64 1/2 (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 1/3) (*.f64 y y)) y) (sin.f64 y)) (/.f64 1/720 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))))) (fma.f64 (pow.f64 x 4) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) 1/3) (*.f64 y y)) y) (sin.f64 y)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)) 13/24)) (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3))))) |
(+.f64 (*.f64 (pow.f64 x 4) (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 y y)) (/.f64 y 1/3)) (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 13/24))) (+.f64 (*.f64 (pow.f64 x 6) (+.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (*.f64 y y)) (/.f64 y 2/45)) (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 31/720)) (/.f64 1/2 (/.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)) 1/3)))) (*.f64 (+.f64 (*.f64 (*.f64 x x) 3/2) 1) (pow.f64 (/.f64 (sin.f64 y) y) 3)))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3))) |
(*.f64 1/8 (/.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3) (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))) |
(*.f64 1/8 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3))) |
(*.f64 1/8 (/.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3) (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))) |
(*.f64 1/8 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3))) |
(*.f64 1/8 (/.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3) (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))) |
(*.f64 1/8 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3))) |
(*.f64 1/8 (/.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3) (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))) |
(*.f64 1/8 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3))) |
(*.f64 1/8 (/.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3) (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))) |
(*.f64 1/8 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3))) |
(*.f64 1/8 (/.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3) (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))) |
(*.f64 1/8 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3))) |
(*.f64 1/8 (/.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3) (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))) |
(*.f64 1/8 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))) |
(*.f64 1/8 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 y 3))) |
(*.f64 1/8 (/.f64 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3) (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))) |
(*.f64 1/8 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.5b | (pow.f64 (cbrt.f64 y) 2) | |
| 0.2b | (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (cosh.f64 x))) | |
| 0.1b | (/.f64 (sin.f64 y) (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (cosh.f64 x)))) | |
| 0.0b | (/.f64 (cbrt.f64 y) (cosh.f64 x)) | |
| ✓ | 0.1b | (/.f64 (sin.f64 y) (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (cosh.f64 x)))) |
| ✓ | 0.2b | (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (cosh.f64 x))) |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 y) 2) |
| ✓ | 0.5b | (cbrt.f64 y) |
Compiled 54 to 25 computations (53.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | y | @ | inf | (cbrt.f64 y) |
| 4.0ms | x | @ | 0 | (/.f64 (sin.f64 y) (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (cosh.f64 x)))) |
| 2.0ms | y | @ | inf | (pow.f64 (cbrt.f64 y) 2) |
| 2.0ms | y | @ | inf | (/.f64 (sin.f64 y) (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (cosh.f64 x)))) |
| 2.0ms | y | @ | 0 | (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (cosh.f64 x))) |
| 1× | batch-egg-rewrite |
| 644× | log-prod_binary64 |
| 371× | pow-prod-down_binary64 |
| 312× | pow2_binary64 |
| 222× | pow1/3_binary64 |
| 216× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 26 |
| 1 | 283 | 26 |
| 2 | 3410 | 26 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 y) |
(pow.f64 (cbrt.f64 y) 2) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (cosh.f64 x))) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (cosh.f64 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y 1/6) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (pow.f64 (cbrt.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y y) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 y) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 y) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 y))))))) |
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| 1× | egg-herbie |
| 575× | cancel-sign-sub-inv_binary64 |
| 492× | times-frac_binary64 |
| 431× | fma-def_binary64 |
| 412× | distribute-rgt-in_binary64 |
| 397× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 1027 |
| 1 | 228 | 1018 |
| 2 | 718 | 952 |
| 3 | 3105 | 915 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
y |
(+.f64 (*.f64 -1/2 (*.f64 y (pow.f64 x 2))) y) |
(+.f64 (*.f64 -1/2 (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 y) (*.f64 -1/4 y)) (pow.f64 x 4))) y)) |
(+.f64 (*.f64 -1/2 (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 y) (*.f64 -1/4 y)) (pow.f64 x 4))) (+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/48 y) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 1/24 y) (*.f64 -1/4 y))) (*.f64 1/720 y))) (pow.f64 x 6)))))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (*.f64 -1/10080 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(/.f64 (sin.f64 y) y) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)))) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
| Outputs |
|---|
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
y |
(+.f64 (*.f64 -1/2 (*.f64 y (pow.f64 x 2))) y) |
(fma.f64 -1/2 (*.f64 y (*.f64 x x)) y) |
(fma.f64 y (*.f64 x (*.f64 x -1/2)) y) |
(fma.f64 (*.f64 x x) (*.f64 y -1/2) y) |
(+.f64 (*.f64 -1/2 (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 y) (*.f64 -1/4 y)) (pow.f64 x 4))) y)) |
(fma.f64 -1/2 (*.f64 y (*.f64 x x)) (fma.f64 -1 (*.f64 (*.f64 y -5/24) (pow.f64 x 4)) y)) |
(fma.f64 -1/2 (*.f64 y (*.f64 x x)) (-.f64 y (*.f64 y (*.f64 -5/24 (pow.f64 x 4))))) |
(fma.f64 y (*.f64 x (*.f64 x -1/2)) (fma.f64 (pow.f64 x 4) (*.f64 y 5/24) y)) |
(+.f64 y (*.f64 y (fma.f64 x (*.f64 x -1/2) (*.f64 (pow.f64 x 4) 5/24)))) |
(+.f64 (*.f64 -1/2 (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 y) (*.f64 -1/4 y)) (pow.f64 x 4))) (+.f64 y (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/48 y) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 1/24 y) (*.f64 -1/4 y))) (*.f64 1/720 y))) (pow.f64 x 6)))))) |
(fma.f64 -1/2 (*.f64 y (*.f64 x x)) (+.f64 (fma.f64 -1 (*.f64 (*.f64 y -5/24) (pow.f64 x 4)) y) (neg.f64 (*.f64 (fma.f64 -1/48 y (fma.f64 -1/2 (*.f64 y -5/24) (*.f64 y 1/720))) (pow.f64 x 6))))) |
(fma.f64 -1/2 (*.f64 y (*.f64 x x)) (-.f64 (-.f64 y (*.f64 y (*.f64 -5/24 (pow.f64 x 4)))) (*.f64 (fma.f64 y -1/48 (fma.f64 y 1/720 (*.f64 y 5/48))) (pow.f64 x 6)))) |
(-.f64 (fma.f64 y (*.f64 x (*.f64 x -1/2)) (fma.f64 (pow.f64 x 4) (*.f64 y 5/24) y)) (*.f64 (fma.f64 y -1/48 (*.f64 y 19/180)) (pow.f64 x 6))) |
(+.f64 y (fma.f64 y (fma.f64 x (*.f64 x -1/2) (*.f64 (pow.f64 x 4) 5/24)) (*.f64 (*.f64 y 61/720) (neg.f64 (pow.f64 x 6))))) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 2 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(*.f64 2 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y) |
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) |
(fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)) |
(fma.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 y y) -1/12))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 -1/12 (*.f64 y y)))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 y (*.f64 y -1/12)))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 4) 1/240)))) |
(fma.f64 (*.f64 y y) (fma.f64 (exp.f64 x) -1/12 (/.f64 -1/12 (exp.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 1/240 (pow.f64 y 4))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (+.f64 (*.f64 y (*.f64 y -1/12)) (*.f64 1/240 (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (*.f64 -1/10080 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 -1/10080 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 6) -1/10080))))) |
(+.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 -1/10080 (pow.f64 y 6)) (*.f64 1/240 (pow.f64 y 4)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 -1/12 (*.f64 y y))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (+.f64 (*.f64 -1/10080 (pow.f64 y 6)) 1/2) (+.f64 (*.f64 y (*.f64 y -1/12)) (*.f64 1/240 (pow.f64 y 4))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(/.f64 (sin.f64 y) y) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))) |
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (/.f64 (sin.f64 y) y)) |
(fma.f64 1/2 (*.f64 (*.f64 x x) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y)) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)))) |
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))))) |
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (*.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x))))) |
(fma.f64 1/2 (*.f64 (*.f64 x x) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 1/24 (pow.f64 x 4))))) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y))))) |
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (*.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6))))))) |
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (*.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6))))) |
(+.f64 (fma.f64 1/2 (*.f64 (*.f64 x x) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)) (*.f64 1/720 (*.f64 (pow.f64 x 6) (/.f64 (sin.f64 y) y))))) |
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/24 (*.f64 (pow.f64 x 4) (/.f64 (sin.f64 y) y)) (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 1/720 (pow.f64 x 6)))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 (exp.f64 x) 1/2 (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
Compiled 18263 to 8395 computations (54% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 938 | 17 | 955 |
| Fresh | 8 | 0 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 1 | 5 |
| Total | 951 | 18 | 969 |
| Status | Error | Program |
|---|---|---|
| 21.7b | (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)) | |
| ▶ | 0.1b | (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) |
| 0.9b | (*.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (*.f64 1/2 (*.f64 x x)))) | |
| 32.9b | 1 | |
| 19.4b | (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2) | |
| ▶ | 0.2b | (/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x))) |
| 1.7b | (pow.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (sin.f64 y) y)))) 3) | |
| 1.3b | (*.f64 (sin.f64 y) (/.f64 1 y)) | |
| 1.2b | (pow.f64 (/.f64 y (sin.f64 y)) -1) | |
| ▶ | 33.3b | (*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y))) |
| 1.2b | (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 3)) | |
| 32.6b | (*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)) | |
| ▶ | 33.5b | (fma.f64 -1/6 (*.f64 y y) 1) |
| ▶ | 33.0b | (*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y))) |
| 1.8b | (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3) | |
| 31.5b | (/.f64 (sin.f64 y) (*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (cosh.f64 x)))) | |
| 1.3b | (*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)) (cbrt.f64 (/.f64 (cosh.f64 x) y))) | |
| ✓ | 1.2b | (/.f64 (sin.f64 y) y) |
Compiled 397 to 277 computations (30.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) | |
| 0.0b | (*.f64 (sin.f64 y) (cosh.f64 x)) | |
| 0.0b | (*.f64 (sin.f64 y) (cosh.f64 x)) | |
| ✓ | 0.1b | (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) |
Compiled 20 to 6 computations (70% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) |
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) |
| 1× | batch-egg-rewrite |
| 861× | pow1_binary64 |
| 799× | add-log-exp_binary64 |
| 798× | log1p-expm1-u_binary64 |
| 798× | expm1-log1p-u_binary64 |
| 781× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 149 | 11 |
| 2 | 2077 | 11 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 (/.f64 y (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (*.f64 (cosh.f64 x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (neg.f64 (cosh.f64 x))) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (sin.f64 y) (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) 1) (/.f64 (cosh.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) 1) (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cosh.f64 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 (cosh.f64 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)))))))) |
| 1× | egg-herbie |
| 981× | fma-def_binary64 |
| 559× | associate-+l+_binary64 |
| 492× | times-frac_binary64 |
| 469× | associate-+r+_binary64 |
| 383× | associate-/l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 622 |
| 1 | 148 | 620 |
| 2 | 444 | 562 |
| 3 | 1672 | 523 |
| 4 | 6945 | 514 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (*.f64 -1/10080 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(/.f64 (sin.f64 y) y) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)))) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
| Outputs |
|---|
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 y y) -1/12))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 y (*.f64 y -1/12)))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 -1/12 (*.f64 y y) 1/2)) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 4) 1/240)))) |
(fma.f64 (*.f64 y y) (fma.f64 (exp.f64 x) -1/12 (/.f64 -1/12 (exp.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 1/240 (pow.f64 y 4))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (fma.f64 -1/12 (*.f64 y y) (*.f64 1/240 (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (*.f64 -1/10080 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 -1/10080 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 6) -1/10080))))) |
(+.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 -1/10080 (pow.f64 y 6)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 y (*.f64 y -1/12)) (*.f64 1/240 (pow.f64 y 4))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (fma.f64 -1/10080 (pow.f64 y 6) 1/2) (fma.f64 -1/12 (*.f64 y y) (*.f64 1/240 (pow.f64 y 4))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(/.f64 (sin.f64 y) y) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))) |
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (/.f64 (sin.f64 y) y)) |
(fma.f64 1/2 (/.f64 (*.f64 x (sin.f64 y)) (/.f64 y x)) (/.f64 (sin.f64 y) y)) |
(fma.f64 1/2 (*.f64 (sin.f64 y) (/.f64 x (/.f64 y x))) (/.f64 (sin.f64 y) y)) |
(*.f64 (+.f64 (*.f64 1/2 (*.f64 x x)) 1) (/.f64 (sin.f64 y) y)) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)))) |
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))))) |
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (/.f64 (sin.f64 y) y)) (*.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)))) |
(fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (fma.f64 1/2 (/.f64 (*.f64 x (sin.f64 y)) (/.f64 y x)) (/.f64 (sin.f64 y) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4))))) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y))))) |
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y))))) |
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (*.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6)))))) |
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 x (sin.f64 y)) (/.f64 y x)) (/.f64 (sin.f64 y) y)) (fma.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6)) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 1/24 (pow.f64 x 4))))) |
(fma.f64 (/.f64 (sin.f64 y) y) (*.f64 1/720 (pow.f64 x 6)) (+.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4)))))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4)))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (fma.f64 -1/6 (*.f64 y y) 1) | |
| ✓ | 0.3b | (fma.f64 -1/6 (*.f64 y y) 1) |
Compiled 14 to 8 computations (42.9% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (fma.f64 -1/6 (*.f64 y y) 1) |
| 1.0ms | y | @ | 0 | (fma.f64 -1/6 (*.f64 y y) 1) |
| 0.0ms | y | @ | -inf | (fma.f64 -1/6 (*.f64 y y) 1) |
| 1× | batch-egg-rewrite |
| 455× | pow1_binary64 |
| 445× | add-sqr-sqrt_binary64 |
| 434× | *-un-lft-identity_binary64 |
| 424× | add-log-exp_binary64 |
| 423× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 114 | 8 |
| 2 | 1185 | 8 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 -1/6 (*.f64 y y) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 -1/6 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/6 (*.f64 y y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -1/6 (*.f64 y y) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) (sqrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/6 (*.f64 y y)) 3) 1) (+.f64 (*.f64 (*.f64 -1/6 (*.f64 y y)) (*.f64 -1/6 (*.f64 y y))) (-.f64 1 (*.f64 (*.f64 -1/6 (*.f64 y y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -1/6 (*.f64 y y)) (*.f64 -1/6 (*.f64 y y))) 1) (-.f64 (*.f64 -1/6 (*.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/6 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/6 (*.f64 y y) 1))))))) |
| 1× | egg-herbie |
| 1106× | sqr-pow_binary64 |
| 618× | cube-prod_binary64 |
| 554× | fabs-mul_binary64 |
| 536× | pow-sqr_binary64 |
| 446× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 105 |
| 1 | 16 | 87 |
| 2 | 27 | 87 |
| 3 | 51 | 87 |
| 4 | 114 | 87 |
| 5 | 345 | 87 |
| 6 | 1254 | 87 |
| 7 | 2153 | 87 |
| 8 | 2317 | 87 |
| 9 | 2501 | 87 |
| 10 | 2709 | 87 |
| 11 | 3004 | 87 |
| 12 | 3397 | 87 |
| 13 | 3877 | 87 |
| 14 | 4438 | 87 |
| 15 | 5120 | 87 |
| 16 | 5953 | 87 |
| 17 | 6347 | 87 |
| 18 | 6635 | 87 |
| 19 | 6913 | 87 |
| 20 | 6987 | 87 |
| 21 | 7023 | 87 |
| 22 | 7964 | 87 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(*.f64 -1/6 (pow.f64 y 2)) |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(*.f64 -1/6 (pow.f64 y 2)) |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 y y))) |
(fma.f64 -1/6 (*.f64 y y) 1) |
(fma.f64 y (*.f64 -1/6 y) 1) |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 y y))) |
(fma.f64 -1/6 (*.f64 y y) 1) |
(fma.f64 y (*.f64 -1/6 y) 1) |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 y y))) |
(fma.f64 -1/6 (*.f64 y y) 1) |
(fma.f64 y (*.f64 -1/6 y) 1) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 y y))) |
(fma.f64 -1/6 (*.f64 y y) 1) |
(fma.f64 y (*.f64 -1/6 y) 1) |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 y y))) |
(fma.f64 -1/6 (*.f64 y y) 1) |
(fma.f64 y (*.f64 -1/6 y) 1) |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 y y))) |
(fma.f64 -1/6 (*.f64 y y) 1) |
(fma.f64 y (*.f64 -1/6 y) 1) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 y y))) |
(fma.f64 -1/6 (*.f64 y y) 1) |
(fma.f64 y (*.f64 -1/6 y) 1) |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 y y))) |
(fma.f64 -1/6 (*.f64 y y) 1) |
(fma.f64 y (*.f64 -1/6 y) 1) |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 y y))) |
(fma.f64 -1/6 (*.f64 y y) 1) |
(fma.f64 y (*.f64 -1/6 y) 1) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x))) | |
| 0.1b | (/.f64 1 (sin.f64 y)) | |
| 0.0b | (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x)) | |
| ✓ | 0.0b | (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x)) |
| ✓ | 0.1b | (/.f64 1 (sin.f64 y)) |
| ✓ | 0.2b | (/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x))) |
Compiled 34 to 18 computations (47.1% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x)) |
| 1.0ms | y | @ | -inf | (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x)) |
| 1.0ms | x | @ | -inf | (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x)) |
| 1.0ms | y | @ | 0 | (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x)) |
| 1.0ms | x | @ | inf | (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x)) |
| 1× | batch-egg-rewrite |
| 591× | log-prod_binary64 |
| 340× | pow-prod-down_binary64 |
| 288× | pow2_binary64 |
| 202× | pow1/3_binary64 |
| 196× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 1 | 222 | 28 |
| 2 | 3177 | 28 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x))) |
(/.f64 1 (sin.f64 y)) |
(/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (sin.f64 y) (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 (/.f64 1 y) (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cosh.f64 x) (*.f64 (/.f64 1 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 2)) (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 1 (cbrt.f64 y)) (*.f64 (sin.f64 y) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) (*.f64 (sin.f64 y) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (/.f64 1 (/.f64 -1 (*.f64 (sin.f64 y) (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) (sin.f64 y)) (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 1 (*.f64 (sin.f64 y) (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 y -1/2) 1) (/.f64 (pow.f64 y -1/2) (/.f64 1 (*.f64 (sin.f64 y) (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 y -1/2) (/.f64 1 (sin.f64 y))) (/.f64 (pow.f64 y -1/2) (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (sin.f64 y))) (/.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) -2))) (/.f64 (/.f64 1 y) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) -2))) (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 y -1/2) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) -2))) (/.f64 (pow.f64 y -1/2) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) -1/2)) (/.f64 (/.f64 1 y) (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) -1/2)) (/.f64 (/.f64 1 (cbrt.f64 y)) (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) 1) (*.f64 (sin.f64 y) (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) (/.f64 -1 (sin.f64 y))) (neg.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 1 y) (sin.f64 y)) 1) (cosh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 1 y) (sin.f64 y)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 1 y) (sin.f64 y)) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y -3) (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 y) (/.f64 -1 (*.f64 (sin.f64 y) (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y -3) (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (/.f64 1 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) -1/2) (pow.f64 (sin.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) -2) (/.f64 1 (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 y)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 y) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (sin.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 y) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (sin.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (*.f64 (sin.f64 y) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (*.f64 (sin.f64 y) (cosh.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (*.f64 (sin.f64 y) (cosh.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (*.f64 (sin.f64 y) (cosh.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (*.f64 (sin.f64 y) (cosh.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (sin.f64 y) (cosh.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 (sin.f64 y) (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 y)) (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 y) (cosh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) -2)) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (*.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) -1/2) (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 y) -1/2) (*.f64 (pow.f64 (sin.f64 y) -1/2) (/.f64 1 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 y)) (/.f64 1 (neg.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cosh.f64 x)) (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 y) -1/2) 1) (/.f64 (pow.f64 (sin.f64 y) -1/2) (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) -2) (/.f64 (/.f64 1 (sin.f64 y)) (cbrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 y) -1/2) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 y) -1/2) (cbrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cosh.f64 x) -1/2) (/.f64 (/.f64 1 (sin.f64 y)) (sqrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 y) -2)) (sqrt.f64 (cosh.f64 x))) (/.f64 (/.f64 1 (cbrt.f64 (sin.f64 y))) (sqrt.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 y)) (*.f64 2 (cosh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (sin.f64 y) (cosh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 y) -3) (pow.f64 (cosh.f64 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (sin.f64 y)) (neg.f64 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 (sin.f64 y) (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (sin.f64 y) (cosh.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) -3) (pow.f64 (cosh.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (sin.f64 y) (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 y) (cosh.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) (cosh.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (sin.f64 y) (cosh.f64 x))))))))) |
| 1× | egg-herbie |
| 636× | associate-+l+_binary64 |
| 544× | associate-/l*_binary64 |
| 524× | associate-+r+_binary64 |
| 505× | unswap-sqr_binary64 |
| 496× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 1240 |
| 1 | 270 | 1230 |
| 2 | 754 | 1166 |
| 3 | 2566 | 1131 |
| 4 | 7730 | 1131 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (*.f64 -1/10080 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(/.f64 (sin.f64 y) y) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)))) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 1/6 y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))) |
(+.f64 (*.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3))))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(+.f64 (*.f64 2 (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))) (*.f64 1/3 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) |
(+.f64 (*.f64 2 (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))) (+.f64 (*.f64 1/3 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (*.f64 7/180 (/.f64 (pow.f64 y 3) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) |
(+.f64 (*.f64 2 (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))) (+.f64 (*.f64 1/3 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (+.f64 (*.f64 31/7560 (/.f64 (pow.f64 y 5) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (*.f64 7/180 (/.f64 (pow.f64 y 3) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 1 (sin.f64 y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sin.f64 y))) (/.f64 1 (sin.f64 y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sin.f64 y))) (+.f64 (/.f64 1 (sin.f64 y)) (*.f64 5/24 (/.f64 (pow.f64 x 4) (sin.f64 y))))) |
(+.f64 (*.f64 -61/720 (/.f64 (pow.f64 x 6) (sin.f64 y))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sin.f64 y))) (+.f64 (/.f64 1 (sin.f64 y)) (*.f64 5/24 (/.f64 (pow.f64 x 4) (sin.f64 y)))))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
| Outputs |
|---|
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 -1/12 (*.f64 y y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 -1/12 (*.f64 y y)))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 4) 1/240)))) |
(fma.f64 (pow.f64 y 4) (fma.f64 (exp.f64 x) 1/240 (/.f64 1/240 (exp.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 -1/12 (*.f64 y y))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (+.f64 (*.f64 1/240 (pow.f64 y 4)) (*.f64 -1/12 (*.f64 y y))))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (*.f64 -1/10080 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 -1/10080 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 6) -1/10080))))) |
(+.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 -1/10080 (pow.f64 y 6)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (*.f64 -1/12 (*.f64 y y)) (*.f64 1/240 (pow.f64 y 4))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (+.f64 1/2 (*.f64 -1/10080 (pow.f64 y 6))) (+.f64 (*.f64 1/240 (pow.f64 y 4)) (*.f64 -1/12 (*.f64 y y))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)) |
(/.f64 (sin.f64 y) y) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))) |
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (/.f64 (sin.f64 y) y)) |
(fma.f64 1/2 (/.f64 (*.f64 x (sin.f64 y)) (/.f64 y x)) (/.f64 (sin.f64 y) y)) |
(fma.f64 1/2 (*.f64 x (/.f64 (sin.f64 y) (/.f64 y x))) (/.f64 (sin.f64 y) y)) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)))) |
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))))) |
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (*.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4))))) |
(fma.f64 1/2 (/.f64 (*.f64 x (sin.f64 y)) (/.f64 y x)) (fma.f64 1/24 (*.f64 (/.f64 (pow.f64 x 4) y) (sin.f64 y)) (/.f64 (sin.f64 y) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4))))) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y))))) |
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (/.f64 (*.f64 1/720 (*.f64 (sin.f64 y) (pow.f64 x 6))) y)))) |
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (*.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6)))))) |
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 x (sin.f64 y)) (/.f64 y x)) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (*.f64 (/.f64 (pow.f64 x 4) y) (sin.f64 y)) (*.f64 (/.f64 1/720 y) (*.f64 (sin.f64 y) (pow.f64 x 6))))) |
(+.f64 (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4)))) (fma.f64 1/720 (*.f64 (sin.f64 y) (/.f64 (pow.f64 x 6) y)) (/.f64 (sin.f64 y) y))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y)) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 1/6 y)) |
(+.f64 (/.f64 1 y) (*.f64 y 1/6)) |
(fma.f64 y 1/6 (/.f64 1 y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/6 y (*.f64 7/360 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 y) (fma.f64 y 1/6 (*.f64 7/360 (pow.f64 y 3)))) |
(fma.f64 y 1/6 (fma.f64 7/360 (pow.f64 y 3) (/.f64 1 y))) |
(+.f64 (*.f64 31/15120 (pow.f64 y 5)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/6 y) (*.f64 7/360 (pow.f64 y 3))))) |
(fma.f64 31/15120 (pow.f64 y 5) (+.f64 (/.f64 1 y) (fma.f64 1/6 y (*.f64 7/360 (pow.f64 y 3))))) |
(fma.f64 31/15120 (pow.f64 y 5) (+.f64 (/.f64 1 y) (fma.f64 y 1/6 (*.f64 7/360 (pow.f64 y 3))))) |
(fma.f64 31/15120 (pow.f64 y 5) (fma.f64 y 1/6 (fma.f64 7/360 (pow.f64 y 3) (/.f64 1 y)))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) |
(/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) |
(/.f64 (/.f64 2 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 2 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x)))) |
(+.f64 (*.f64 2 (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))) (*.f64 1/3 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) |
(+.f64 (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (*.f64 1/3 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(fma.f64 1/3 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 2 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(fma.f64 1/3 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 2 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x))))) |
(+.f64 (*.f64 2 (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))) (+.f64 (*.f64 1/3 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (*.f64 7/180 (/.f64 (pow.f64 y 3) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) |
(+.f64 (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (fma.f64 1/3 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (*.f64 7/180 (pow.f64 y 3)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(+.f64 (/.f64 (/.f64 2 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 1/3 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 7/180 (/.f64 (pow.f64 y 3) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(fma.f64 1/3 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 7/180 (/.f64 (pow.f64 y 3) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 2 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(fma.f64 1/3 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 7/180 (/.f64 (pow.f64 y 3) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 2 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x)))))) |
(+.f64 (*.f64 2 (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y))) (+.f64 (*.f64 1/3 (/.f64 y (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (+.f64 (*.f64 31/7560 (/.f64 (pow.f64 y 5) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (*.f64 7/180 (/.f64 (pow.f64 y 3) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))))) |
(+.f64 (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (fma.f64 1/3 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 31/7560 (/.f64 (pow.f64 y 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (*.f64 7/180 (pow.f64 y 3)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
(+.f64 (fma.f64 7/180 (/.f64 (pow.f64 y 3) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 31/7560 (/.f64 (pow.f64 y 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (fma.f64 1/3 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 2 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(+.f64 (/.f64 (/.f64 2 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 7/180 (/.f64 (pow.f64 y 3) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 31/7560 (/.f64 (pow.f64 y 5) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1/3 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y))))) |
(+.f64 (/.f64 2 (fma.f64 (exp.f64 x) y (/.f64 y (exp.f64 x)))) (fma.f64 1/3 (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (fma.f64 7/180 (/.f64 (pow.f64 y 3) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 y 5) (/.f64 31/7560 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(/.f64 1 (sin.f64 y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sin.f64 y))) (/.f64 1 (sin.f64 y))) |
(fma.f64 -1/2 (/.f64 (*.f64 x x) (sin.f64 y)) (/.f64 1 (sin.f64 y))) |
(fma.f64 -1/2 (/.f64 x (/.f64 (sin.f64 y) x)) (/.f64 1 (sin.f64 y))) |
(fma.f64 -1/2 (*.f64 (/.f64 x (sin.f64 y)) x) (/.f64 1 (sin.f64 y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sin.f64 y))) (+.f64 (/.f64 1 (sin.f64 y)) (*.f64 5/24 (/.f64 (pow.f64 x 4) (sin.f64 y))))) |
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 x x) (sin.f64 y)) (/.f64 1 (sin.f64 y))) (*.f64 5/24 (/.f64 (pow.f64 x 4) (sin.f64 y)))) |
(fma.f64 -1/2 (/.f64 x (/.f64 (sin.f64 y) x)) (fma.f64 5/24 (/.f64 (pow.f64 x 4) (sin.f64 y)) (/.f64 1 (sin.f64 y)))) |
(fma.f64 -1/2 (*.f64 (/.f64 x (sin.f64 y)) x) (fma.f64 5/24 (/.f64 (pow.f64 x 4) (sin.f64 y)) (/.f64 1 (sin.f64 y)))) |
(fma.f64 -1/2 (/.f64 (*.f64 x x) (sin.f64 y)) (fma.f64 5/24 (/.f64 (pow.f64 x 4) (sin.f64 y)) (/.f64 1 (sin.f64 y)))) |
(+.f64 (*.f64 -61/720 (/.f64 (pow.f64 x 6) (sin.f64 y))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sin.f64 y))) (+.f64 (/.f64 1 (sin.f64 y)) (*.f64 5/24 (/.f64 (pow.f64 x 4) (sin.f64 y)))))) |
(fma.f64 -61/720 (/.f64 (pow.f64 x 6) (sin.f64 y)) (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 x x) (sin.f64 y)) (/.f64 1 (sin.f64 y))) (*.f64 5/24 (/.f64 (pow.f64 x 4) (sin.f64 y))))) |
(fma.f64 -61/720 (/.f64 (pow.f64 x 6) (sin.f64 y)) (fma.f64 -1/2 (/.f64 x (/.f64 (sin.f64 y) x)) (fma.f64 5/24 (/.f64 (pow.f64 x 4) (sin.f64 y)) (/.f64 1 (sin.f64 y))))) |
(fma.f64 -1/2 (*.f64 (/.f64 x (sin.f64 y)) x) (fma.f64 -61/720 (/.f64 (pow.f64 x 6) (sin.f64 y)) (fma.f64 5/24 (/.f64 (pow.f64 x 4) (sin.f64 y)) (/.f64 1 (sin.f64 y))))) |
(fma.f64 -1/2 (/.f64 (*.f64 x x) (sin.f64 y)) (fma.f64 -61/720 (/.f64 (pow.f64 x 6) (sin.f64 y)) (fma.f64 5/24 (/.f64 (pow.f64 x 4) (sin.f64 y)) (/.f64 1 (sin.f64 y))))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y))) |
(/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sin.f64 y))) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (/.f64 (sin.f64 y) (sqrt.f64 y)) | |
| 0.1b | (/.f64 1 (sqrt.f64 y)) | |
| 0.1b | (*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y))) | |
| ✓ | 0.1b | (*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y))) |
| ✓ | 0.1b | (/.f64 1 (sqrt.f64 y)) |
| ✓ | 0.2b | (/.f64 (sin.f64 y) (sqrt.f64 y)) |
Compiled 27 to 11 computations (59.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (/.f64 (sin.f64 y) (sqrt.f64 y)) |
| 3.0ms | y | @ | -inf | (*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y))) |
| 1.0ms | y | @ | 0 | (/.f64 (sin.f64 y) (sqrt.f64 y)) |
| 1.0ms | y | @ | -inf | (/.f64 (sin.f64 y) (sqrt.f64 y)) |
| 1.0ms | y | @ | -inf | (/.f64 1 (sqrt.f64 y)) |
| 1× | batch-egg-rewrite |
| 812× | pow1_binary64 |
| 755× | add-log-exp_binary64 |
| 755× | log1p-expm1-u_binary64 |
| 755× | expm1-log1p-u_binary64 |
| 737× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 1 | 165 | 18 |
| 2 | 2155 | 18 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 y) (sqrt.f64 y)) |
(/.f64 1 (sqrt.f64 y)) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 y) (sqrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (pow.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) y)) (cbrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 y)) (*.f64 (cbrt.f64 (pow.f64 y -1/2)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 y) -1/2) (/.f64 (sin.f64 y) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 y) -1/2) (*.f64 (pow.f64 (sqrt.f64 y) -1/2) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 y)) (/.f64 (sin.f64 y) (cbrt.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (cbrt.f64 y)) (cbrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 y 1/4)) (/.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 y 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 y) -1/2) (sqrt.f64 (sin.f64 y))) (*.f64 (pow.f64 (sqrt.f64 y) -1/2) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (cbrt.f64 (/.f64 1 y))) (cbrt.f64 (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (pow.f64 (sqrt.f64 y) -1/2)) (pow.f64 (sqrt.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 y -1/2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 y -1/2) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (pow.f64 y -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 y -1/2) 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 y -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 y -1/2)) (cbrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 y)) (cbrt.f64 (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 y) -1/2) (pow.f64 (sqrt.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -1) (pow.f64 (cbrt.f64 (sqrt.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 y 1/4) -1) (pow.f64 (pow.f64 y 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 y -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 y -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 y) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 y -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 y -1/2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 y) (/.f64 (sin.f64 y) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 2) y)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (/.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sin.f64 y) (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) 1) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) -1) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) -1) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (pow.f64 y 1/4)) (pow.f64 y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) 1) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 y)) (pow.f64 y -1/2)) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 (sin.f64 y) (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) -1) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y -1/2) (neg.f64 (sin.f64 y))) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) 3) (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) 3) (pow.f64 (pow.f64 y -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 y -1/2) 3) (pow.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y))))))) |
| 1× | egg-herbie |
| 743× | fma-def_binary64 |
| 580× | div-sub_binary64 |
| 569× | associate-/l*_binary64 |
| 380× | associate-*l/_binary64 |
| 377× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 100 |
| 1 | 61 | 98 |
| 2 | 152 | 94 |
| 3 | 454 | 94 |
| 4 | 1933 | 94 |
| 5 | 6892 | 94 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(*.f64 -1 (/.f64 (sin.f64 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(*.f64 -1 (/.f64 (sin.f64 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(*.f64 -1 (/.f64 (sin.f64 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(*.f64 -1 (/.f64 (sin.f64 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 y y))) |
(fma.f64 -1/6 (*.f64 y y) 1) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))) |
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) |
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))) |
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) (fma.f64 -1/5040 (pow.f64 y 6) 1)) |
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/120) -1/6) (fma.f64 -1/5040 (pow.f64 y 6) 1)) |
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/5040 (pow.f64 y 6) 1))) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(*.f64 -1 (/.f64 (sin.f64 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(/.f64 (sin.f64 y) y) |
(*.f64 -1 (/.f64 (sin.f64 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(/.f64 (sin.f64 y) y) |
(*.f64 -1 (/.f64 (sin.f64 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(/.f64 (sin.f64 y) y) |
(*.f64 -1 (/.f64 (sin.f64 y) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y))) |
(/.f64 (sin.f64 y) y) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y))) | |
| 0.1b | (*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)) | |
| 0.1b | (sqrt.f64 (/.f64 (cosh.f64 x) y)) | |
| 0.0b | (/.f64 (cosh.f64 x) y) | |
| 0.0b | (/.f64 (cosh.f64 x) y) | |
| ✓ | 0.1b | (sqrt.f64 (/.f64 (cosh.f64 x) y)) |
| ✓ | 0.1b | (*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)) |
| ✓ | 0.1b | (*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y))) |
Compiled 39 to 8 computations (79.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | (*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)) |
| 2.0ms | y | @ | 0 | (*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)) |
| 1.0ms | y | @ | -inf | (*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)) |
| 1.0ms | y | @ | -inf | (*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y))) |
| 1.0ms | y | @ | inf | (*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)) |
| 1× | batch-egg-rewrite |
| 513× | log-prod_binary64 |
| 447× | prod-exp_binary64 |
| 372× | exp-prod_binary64 |
| 351× | pow-prod-down_binary64 |
| 250× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 189 | 32 |
| 2 | 2485 | 32 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y)) |
(sqrt.f64 (/.f64 (cosh.f64 x) y)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 751× | distribute-rgt-in_binary64 |
| 746× | distribute-lft-in_binary64 |
| 657× | times-frac_binary64 |
| 547× | fma-def_binary64 |
| 480× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 1382 |
| 1 | 293 | 1374 |
| 2 | 946 | 1238 |
| 3 | 4437 | 1166 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 y) y) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)))) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (*.f64 -1/10080 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 y))) y)) |
(*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 y))) y)) |
(*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 y))) y)) |
(*.f64 -1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 y))) y)) |
(*.f64 (sqrt.f64 (/.f64 1 y)) (sin.f64 y)) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) (pow.f64 x 2)))) (*.f64 (sqrt.f64 (/.f64 1 y)) (sin.f64 y))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 y) (*.f64 (-.f64 (*.f64 1/24 (/.f64 1 y)) (pow.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 y))) 2)) (*.f64 (sin.f64 y) (pow.f64 x 4))))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) (pow.f64 x 2)))) (*.f64 (sqrt.f64 (/.f64 1 y)) (sin.f64 y)))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 y) (*.f64 (-.f64 (*.f64 1/720 (/.f64 1 y)) (*.f64 1/4 (-.f64 (*.f64 1/24 (/.f64 1 y)) (pow.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 y))) 2)))) (*.f64 (sin.f64 y) (pow.f64 x 6))))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 y) (*.f64 (-.f64 (*.f64 1/24 (/.f64 1 y)) (pow.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 y))) 2)) (*.f64 (sin.f64 y) (pow.f64 x 4))))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 (sin.f64 y) (pow.f64 x 2)))) (*.f64 (sqrt.f64 (/.f64 1 y)) (sin.f64 y))))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (*.f64 (sqrt.f64 1/2) (sin.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (*.f64 (sqrt.f64 1/2) (sin.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (*.f64 (sqrt.f64 1/2) (sin.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (*.f64 (sqrt.f64 1/2) (sin.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (*.f64 (sqrt.f64 1/2) (sin.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (*.f64 (sqrt.f64 1/2) (sin.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (*.f64 (sqrt.f64 1/2) (sin.f64 y))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (*.f64 (sqrt.f64 1/2) (sin.f64 y))) |
(sqrt.f64 (/.f64 1 y)) |
(+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 y))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 y) (*.f64 (-.f64 (*.f64 1/24 (/.f64 1 y)) (pow.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 y))) 2)) (pow.f64 x 4)))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 y)))) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 y) (*.f64 (-.f64 (*.f64 1/24 (/.f64 1 y)) (pow.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 y))) 2)) (pow.f64 x 4)))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (+.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 1/2 (*.f64 (sqrt.f64 y) (*.f64 (-.f64 (*.f64 1/720 (/.f64 1 y)) (*.f64 1/4 (-.f64 (*.f64 1/24 (/.f64 1 y)) (pow.f64 (*.f64 1/4 (sqrt.f64 (/.f64 1 y))) 2)))) (pow.f64 x 6))))))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (sqrt.f64 1/2)) |
| Outputs |
|---|
(/.f64 (sin.f64 y) y) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))) |
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (/.f64 (sin.f64 y) y)) |
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) (/.f64 y x)) x) (/.f64 (sin.f64 y) y)) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)))) |
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (*.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4)))))) |
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (*.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4))))) |
(fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (/.f64 (sin.f64 y) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4))))) |
(+.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 4)) y)) (*.f64 1/720 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 6)) y))))) |
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (fma.f64 1/24 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 4))) (*.f64 1/720 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x 6))))))) |
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (*.f64 1/720 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 6)))))) |
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) (/.f64 (sin.f64 y) y)) (fma.f64 1/24 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x 4)) (*.f64 (sin.f64 y) (*.f64 (pow.f64 x 6) (/.f64 1/720 y))))) |
(+.f64 (/.f64 (sin.f64 y) y) (fma.f64 1/24 (*.f64 (/.f64 (pow.f64 x 4) y) (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (*.f64 x x)))))) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (sin.f64 y)) y)) |
(*.f64 1/2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 y (sin.f64 y)))) |
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) y) (sin.f64 y)) |
(*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))) |
(*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 1/2 (exp.f64 x) (/.f64 1/2 (exp.f64 x))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 y (*.f64 y -1/12)))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x))))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 y 4) 1/240)))) |
(fma.f64 (*.f64 y y) (fma.f64 (exp.f64 x) -1/12 (/.f64 -1/12 (exp.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 1/240 (pow.f64 y 4))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (+.f64 (*.f64 1/240 (pow.f64 y 4)) (*.f64 y (*.f64 y -1/12))))) |
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 2))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 4))) (+.f64 (*.f64 -1/10080 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (pow.f64 y 6))) (*.f64 1/2 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))))) |
(fma.f64 -1/12 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y y)) (fma.f64 1/240 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 4)) (fma.f64 -1/10080 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 y 6)) (*.f64 1/2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
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(fma.f64 1/2 (*.f64 (-.f64 (/.f64 1/24 y) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) 1/4) 2)) (*.f64 (pow.f64 x 4) (sqrt.f64 y))) (fma.f64 1/4 (*.f64 x (*.f64 x (sqrt.f64 (/.f64 1 y)))) (fma.f64 1/2 (*.f64 (+.f64 (/.f64 1/720 y) (*.f64 (-.f64 (/.f64 1/24 y) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) 1/4) 2)) -1/4)) (*.f64 (pow.f64 x 6) (sqrt.f64 y))) (sqrt.f64 (/.f64 1 y))))) |
(+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x 1/4)) 1) (sqrt.f64 (/.f64 1 y))) (*.f64 (*.f64 1/2 (sqrt.f64 y)) (+.f64 (*.f64 (pow.f64 x 6) (fma.f64 (+.f64 (/.f64 1/24 y) (*.f64 (/.f64 1 y) -1/16)) -1/4 (/.f64 1/720 y))) (*.f64 (pow.f64 x 4) (+.f64 (/.f64 1/24 y) (*.f64 (/.f64 1 y) -1/16)))))) |
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) 1) (sqrt.f64 (/.f64 1 y))) (*.f64 (*.f64 1/2 (sqrt.f64 y)) (+.f64 (*.f64 (pow.f64 x 6) (fma.f64 1/4 (*.f64 (/.f64 1 y) 1/48) (/.f64 1/720 y))) (*.f64 (pow.f64 x 4) (*.f64 (/.f64 1 y) -1/48))))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) y)) (sqrt.f64 1/2)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)) (sqrt.f64 1/2)) |
Compiled 12956 to 5317 computations (59% saved)
21 alts after pruning (19 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 749 | 16 | 765 |
| Fresh | 9 | 3 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 762 | 21 | 783 |
| Status | Error | Program |
|---|---|---|
| 21.7b | (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)) | |
| 1.2b | (/.f64 1 (/.f64 y (sin.f64 y))) | |
| 33.5b | (+.f64 1 (*.f64 -1/6 (*.f64 y y))) | |
| 33.2b | (*.f64 (pow.f64 y -1/2) (/.f64 (sin.f64 y) (sqrt.f64 y))) | |
| 44.6b | (*.f64 (/.f64 1 (sqrt.f64 y)) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) 3))) | |
| ✓ | 0.1b | (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) |
| 0.9b | (*.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (*.f64 1/2 (*.f64 x x)))) | |
| ▶ | 62.7b | (*.f64 -1/6 (*.f64 y y)) |
| ▶ | 19.4b | (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2) |
| 33.3b | (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)) | |
| ▶ | 0.9b | (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)) y) |
| 1.3b | (*.f64 (sin.f64 y) (/.f64 1 y)) | |
| ▶ | 1.3b | (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))) |
| 32.6b | (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y)))) | |
| ✓ | 1.2b | (/.f64 (sin.f64 y) y) |
| 33.7b | (/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))) y) | |
| ▶ | 33.2b | (*.f64 (/.f64 1 (sqrt.f64 y)) (*.f64 (pow.f64 y -1/2) (sin.f64 y))) |
| 1.8b | (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3) | |
| 32.9b | 1 | |
| 1.3b | (*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)) (cbrt.f64 (/.f64 (cosh.f64 x) y))) | |
| 32.8b | (/.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) (cosh.f64 x))) |
Compiled 414 to 295 computations (28.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)) y) | |
| 0.0b | (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)) | |
| ✓ | 0.0b | (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)) |
| ✓ | 0.1b | (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)) y) |
Compiled 45 to 28 computations (37.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)) |
| 2.0ms | x | @ | inf | (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)) y) |
| 2.0ms | x | @ | 0 | (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)) y) |
| 2.0ms | y | @ | inf | (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)) y) |
| 2.0ms | y | @ | 0 | (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)) y) |
| 1× | batch-egg-rewrite |
| 595× | log-prod_binary64 |
| 384× | prod-diff_binary64 |
| 370× | pow-prod-down_binary64 |
| 294× | pow2_binary64 |
| 206× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 29 |
| 1 | 232 | 29 |
| 2 | 3040 | 29 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)) y) |
(*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) (sin.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) (sin.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) (sin.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 1 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 1/2) 1) (*.f64 (sin.f64 y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (sin.f64 y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) (sin.f64 y))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (fma.f64 x (*.f64 x 1/2) 1)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (fma.f64 x (*.f64 x 1/2) 1)) -2)) (cbrt.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (sin.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (sin.f64 y))) (/.f64 1 y)))))) (#(struct:change #<rule 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(fma.f64 x (*.f64 x 1/2) 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (sin.f64 y)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x 1/2) 1) y) (sin.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) (*.f64 (*.f64 x (*.f64 x 1/2)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 y) (*.f64 (sin.f64 y) (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (sin.f64 y)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) (*.f64 x (*.f64 x 1/2))) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (fma.f64 x (*.f64 x 1/2) 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (fma.f64 x (*.f64 x 1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (fma.f64 x (*.f64 x 1/2) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 y)) (fma.f64 x (*.f64 x 1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 6) 1/8 1) (sin.f64 y)) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/4 1) (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/4 -1) (sin.f64 y)) (fma.f64 x (*.f64 x 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (fma.f64 (pow.f64 x 6) 1/8 1)) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 1/4 1) (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (fma.f64 (pow.f64 (*.f64 x x) 2) 1/4 -1)) (fma.f64 x (*.f64 x 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (sin.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (fma.f64 x (*.f64 x 1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x 1/2)) (sin.f64 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 y) (*.f64 (*.f64 x (*.f64 x 1/2)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 y) (*.f64 (sin.f64 y) (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 y) (*.f64 x (*.f64 x 1/2)) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 y) 1 (*.f64 (*.f64 x (*.f64 x 1/2)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 y) 1 (*.f64 (sin.f64 y) (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (*.f64 (*.f64 x (*.f64 x 1/2)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (*.f64 (sin.f64 y) (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (cbrt.f64 (sin.f64 y)) (*.f64 (*.f64 x (*.f64 x 1/2)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (cbrt.f64 (sin.f64 y)) (*.f64 (sin.f64 y) (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 (*.f64 x (*.f64 x 1/2)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)) (*.f64 (sin.f64 y) (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (sin.f64 y)))))))) |
| 1× | egg-herbie |
| 699× | associate-/r*_binary64 |
| 570× | distribute-rgt-in_binary64 |
| 566× | distribute-lft-in_binary64 |
| 487× | associate-/l/_binary64 |
| 476× | associate-/r/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 1029 |
| 1 | 163 | 959 |
| 2 | 520 | 868 |
| 3 | 2283 | 756 |
| 4 | 4600 | 749 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 y) y) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 1 (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4)))))) |
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/5040 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 6))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4))))))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y) |
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y) |
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y) |
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y) |
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y) |
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y) |
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y) |
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y) |
(sin.f64 y) |
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y)) |
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y)) |
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y)) |
(*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) |
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y)) |
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y)) |
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y)) |
(*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) |
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y)) |
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y)) |
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y)) |
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y) |
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 3))) (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)) |
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 3))) (+.f64 (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 5))) (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y))) |
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 3))) (+.f64 (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 5))) (+.f64 (*.f64 -1/5040 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 7))) (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)))) |
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) |
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) |
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) |
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) |
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) |
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) |
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) |
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) |
| Outputs |
|---|
(/.f64 (sin.f64 y) y) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))) |
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y)) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 x x) y) (sin.f64 y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))) |
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y)) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 x x) y) (sin.f64 y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))) |
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y)) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 x x) y) (sin.f64 y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) |
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x)))) |
(/.f64 (sin.f64 y) (/.f64 y (*.f64 1/2 (*.f64 x x)))) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 x (*.f64 1/2 x))) |
(*.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 (sin.f64 y) x)) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))) |
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y)) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 x x) y) (sin.f64 y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))) |
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y)) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 x x) y) (sin.f64 y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))) |
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y)) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 x x) y) (sin.f64 y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)) |
(*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y)) |
(*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x)))) |
(/.f64 (sin.f64 y) (/.f64 y (*.f64 1/2 (*.f64 x x)))) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 x (*.f64 1/2 x))) |
(*.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 (sin.f64 y) x)) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))) |
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y)) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 x x) y) (sin.f64 y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))) |
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y)) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 x x) y) (sin.f64 y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (*.f64 (sin.f64 y) (pow.f64 x 2)) y))) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))) |
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y)) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 x x) y) (sin.f64 y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)) |
(+.f64 1 (*.f64 1/2 (pow.f64 x 2))) |
(+.f64 1 (*.f64 1/2 (*.f64 x x))) |
(fma.f64 1/2 (*.f64 x x) 1) |
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))) |
(fma.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (*.f64 y y)) (+.f64 1 (*.f64 1/2 (*.f64 x x)))) |
(fma.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) -1/6) (*.f64 y y) (fma.f64 1/2 (*.f64 x x) 1)) |
(*.f64 (+.f64 (*.f64 -1/6 (*.f64 y y)) 1) (fma.f64 1/2 (*.f64 x x) 1)) |
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 1 (*.f64 -1/6 (*.f64 y y)))) |
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4)))))) |
(fma.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (*.f64 y y)) (+.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) -1/6) (*.f64 y y) (fma.f64 1/2 (*.f64 x x) 1)) (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (*.f64 (pow.f64 y 4) 1/120))) |
(fma.f64 (*.f64 y y) (+.f64 -1/6 (*.f64 (*.f64 x x) -1/12)) (*.f64 (+.f64 (*.f64 1/120 (pow.f64 y 4)) 1) (fma.f64 1/2 (*.f64 x x) 1))) |
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 (+.f64 1 (*.f64 1/120 (pow.f64 y 4))) (*.f64 -1/6 (*.f64 y y)))) |
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (*.f64 y y))))) |
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/5040 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 6))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 4))))))) |
(fma.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (*.f64 y y)) (+.f64 1 (fma.f64 -1/5040 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (pow.f64 y 6)) (fma.f64 1/2 (*.f64 x x) (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (pow.f64 y 4))))))) |
(+.f64 (fma.f64 -1/5040 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (pow.f64 y 6)) (fma.f64 1/2 (*.f64 x x) (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (*.f64 (pow.f64 y 4) 1/120)))) (fma.f64 -1/6 (*.f64 y (*.f64 y (fma.f64 1/2 (*.f64 x x) 1))) 1)) |
(+.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 -1/5040 (pow.f64 y 6)))) (*.f64 (+.f64 (*.f64 -1/6 (*.f64 y y)) 1) (fma.f64 1/2 (*.f64 x x) 1))) |
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 (+.f64 (*.f64 1/120 (pow.f64 y 4)) (*.f64 -1/6 (*.f64 y y))) (*.f64 -1/5040 (pow.f64 y 6))))) |
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 (+.f64 (*.f64 -1/5040 (pow.f64 y 6)) 1) (*.f64 (*.f64 y y) (+.f64 (*.f64 1/120 (*.f64 y y)) -1/6)))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))) |
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y)) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 x x) y) (sin.f64 y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)) |
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))) |
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y)) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 x x) y) (sin.f64 y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)) |
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))) |
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y)) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 x x) y) (sin.f64 y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)) |
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))) |
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y)) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 x x) y) (sin.f64 y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)) |
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))) |
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y)) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 x x) y) (sin.f64 y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)) |
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))) |
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y)) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 x x) y) (sin.f64 y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)) |
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))) |
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y)) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 x x) y) (sin.f64 y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)) |
(/.f64 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) y) |
(+.f64 (/.f64 (sin.f64 y) y) (*.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))))) |
(fma.f64 1/2 (/.f64 (sin.f64 y) (/.f64 y (*.f64 x x))) (/.f64 (sin.f64 y) y)) |
(fma.f64 1/2 (*.f64 (/.f64 (*.f64 x x) y) (sin.f64 y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 1/2 (*.f64 x x) 1) y)) |
(sin.f64 y) |
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y)) |
(fma.f64 1/2 (*.f64 (sin.f64 y) (*.f64 x x)) (sin.f64 y)) |
(fma.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 x x) (sin.f64 y)) |
(*.f64 (sin.f64 y) (fma.f64 1/2 (*.f64 x x) 1)) |
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y)) |
(fma.f64 1/2 (*.f64 (sin.f64 y) (*.f64 x x)) (sin.f64 y)) |
(fma.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 x x) (sin.f64 y)) |
(*.f64 (sin.f64 y) (fma.f64 1/2 (*.f64 x x) 1)) |
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y)) |
(fma.f64 1/2 (*.f64 (sin.f64 y) (*.f64 x x)) (sin.f64 y)) |
(fma.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 x x) (sin.f64 y)) |
(*.f64 (sin.f64 y) (fma.f64 1/2 (*.f64 x x) 1)) |
(*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) |
(*.f64 1/2 (*.f64 (sin.f64 y) (*.f64 x x))) |
(*.f64 (sin.f64 y) (*.f64 1/2 (*.f64 x x))) |
(*.f64 (sin.f64 y) (*.f64 x (*.f64 1/2 x))) |
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y)) |
(fma.f64 1/2 (*.f64 (sin.f64 y) (*.f64 x x)) (sin.f64 y)) |
(fma.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 x x) (sin.f64 y)) |
(*.f64 (sin.f64 y) (fma.f64 1/2 (*.f64 x x) 1)) |
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y)) |
(fma.f64 1/2 (*.f64 (sin.f64 y) (*.f64 x x)) (sin.f64 y)) |
(fma.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 x x) (sin.f64 y)) |
(*.f64 (sin.f64 y) (fma.f64 1/2 (*.f64 x x) 1)) |
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y)) |
(fma.f64 1/2 (*.f64 (sin.f64 y) (*.f64 x x)) (sin.f64 y)) |
(fma.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 x x) (sin.f64 y)) |
(*.f64 (sin.f64 y) (fma.f64 1/2 (*.f64 x x) 1)) |
(*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) |
(*.f64 1/2 (*.f64 (sin.f64 y) (*.f64 x x))) |
(*.f64 (sin.f64 y) (*.f64 1/2 (*.f64 x x))) |
(*.f64 (sin.f64 y) (*.f64 x (*.f64 1/2 x))) |
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y)) |
(fma.f64 1/2 (*.f64 (sin.f64 y) (*.f64 x x)) (sin.f64 y)) |
(fma.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 x x) (sin.f64 y)) |
(*.f64 (sin.f64 y) (fma.f64 1/2 (*.f64 x x) 1)) |
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y)) |
(fma.f64 1/2 (*.f64 (sin.f64 y) (*.f64 x x)) (sin.f64 y)) |
(fma.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 x x) (sin.f64 y)) |
(*.f64 (sin.f64 y) (fma.f64 1/2 (*.f64 x x) 1)) |
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (pow.f64 x 2))) (sin.f64 y)) |
(fma.f64 1/2 (*.f64 (sin.f64 y) (*.f64 x x)) (sin.f64 y)) |
(fma.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 x x) (sin.f64 y)) |
(*.f64 (sin.f64 y) (fma.f64 1/2 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y) |
(*.f64 y (+.f64 1 (*.f64 1/2 (*.f64 x x)))) |
(*.f64 y (fma.f64 1/2 (*.f64 x x) 1)) |
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 3))) (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)) |
(fma.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (pow.f64 y 3)) (*.f64 y (+.f64 1 (*.f64 1/2 (*.f64 x x))))) |
(fma.f64 y (fma.f64 1/2 (*.f64 x x) 1) (*.f64 (pow.f64 y 3) (*.f64 (fma.f64 1/2 (*.f64 x x) 1) -1/6))) |
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))) |
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 3))) (+.f64 (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 5))) (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y))) |
(fma.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (pow.f64 y 3)) (fma.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (pow.f64 y 5)) (*.f64 y (+.f64 1 (*.f64 1/2 (*.f64 x x)))))) |
(fma.f64 -1/6 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (pow.f64 y 3)) (fma.f64 1/120 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (pow.f64 y 5)) (*.f64 y (fma.f64 1/2 (*.f64 x x) 1)))) |
(fma.f64 (pow.f64 y 3) (+.f64 -1/6 (*.f64 (*.f64 x x) -1/12)) (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 y (*.f64 1/120 (pow.f64 y 5))))) |
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 y (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/6 (pow.f64 y 3))))) |
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 (+.f64 y (*.f64 -1/6 (pow.f64 y 3))) (*.f64 1/120 (pow.f64 y 5)))) |
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 3))) (+.f64 (*.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 5))) (+.f64 (*.f64 -1/5040 (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 y 7))) (*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) y)))) |
(fma.f64 -1/6 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (pow.f64 y 3)) (fma.f64 1/120 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (pow.f64 y 5)) (fma.f64 -1/5040 (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) (pow.f64 y 7)) (*.f64 y (+.f64 1 (*.f64 1/2 (*.f64 x x))))))) |
(fma.f64 -1/6 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (pow.f64 y 3)) (fma.f64 1/120 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (pow.f64 y 5)) (fma.f64 -1/5040 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (pow.f64 y 7)) (*.f64 y (fma.f64 1/2 (*.f64 x x) 1))))) |
(+.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 (*.f64 -1/5040 (pow.f64 y 7)) y)) (*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 (*.f64 -1/6 (pow.f64 y 3)) (*.f64 1/120 (pow.f64 y 5))))) |
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/6 (pow.f64 y 3))) (+.f64 y (*.f64 -1/5040 (pow.f64 y 7))))) |
(*.f64 (fma.f64 1/2 (*.f64 x x) 1) (+.f64 (+.f64 y (*.f64 -1/5040 (pow.f64 y 7))) (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/6 (pow.f64 y 3))))) |
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) |
(fma.f64 1/2 (*.f64 (sin.f64 y) (*.f64 x x)) (sin.f64 y)) |
(fma.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 x x) (sin.f64 y)) |
(*.f64 (sin.f64 y) (fma.f64 1/2 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) |
(fma.f64 1/2 (*.f64 (sin.f64 y) (*.f64 x x)) (sin.f64 y)) |
(fma.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 x x) (sin.f64 y)) |
(*.f64 (sin.f64 y) (fma.f64 1/2 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) |
(fma.f64 1/2 (*.f64 (sin.f64 y) (*.f64 x x)) (sin.f64 y)) |
(fma.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 x x) (sin.f64 y)) |
(*.f64 (sin.f64 y) (fma.f64 1/2 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) |
(fma.f64 1/2 (*.f64 (sin.f64 y) (*.f64 x x)) (sin.f64 y)) |
(fma.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 x x) (sin.f64 y)) |
(*.f64 (sin.f64 y) (fma.f64 1/2 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) |
(fma.f64 1/2 (*.f64 (sin.f64 y) (*.f64 x x)) (sin.f64 y)) |
(fma.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 x x) (sin.f64 y)) |
(*.f64 (sin.f64 y) (fma.f64 1/2 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) |
(fma.f64 1/2 (*.f64 (sin.f64 y) (*.f64 x x)) (sin.f64 y)) |
(fma.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 x x) (sin.f64 y)) |
(*.f64 (sin.f64 y) (fma.f64 1/2 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) |
(fma.f64 1/2 (*.f64 (sin.f64 y) (*.f64 x x)) (sin.f64 y)) |
(fma.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 x x) (sin.f64 y)) |
(*.f64 (sin.f64 y) (fma.f64 1/2 (*.f64 x x) 1)) |
(*.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (sin.f64 y)) |
(fma.f64 1/2 (*.f64 (sin.f64 y) (*.f64 x x)) (sin.f64 y)) |
(fma.f64 (*.f64 (sin.f64 y) 1/2) (*.f64 x x) (sin.f64 y)) |
(*.f64 (sin.f64 y) (fma.f64 1/2 (*.f64 x x) 1)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (*.f64 -1/6 (*.f64 y y)) | |
| ✓ | 0.4b | (*.f64 -1/6 (*.f64 y y)) |
Compiled 12 to 6 computations (50% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (*.f64 -1/6 (*.f64 y y)) |
| 1.0ms | y | @ | 0 | (*.f64 -1/6 (*.f64 y y)) |
| 1.0ms | y | @ | -inf | (*.f64 -1/6 (*.f64 y y)) |
| 1× | batch-egg-rewrite |
| 432× | pow1_binary64 |
| 422× | add-sqr-sqrt_binary64 |
| 411× | *-un-lft-identity_binary64 |
| 403× | add-log-exp_binary64 |
| 403× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 102 | 7 |
| 2 | 1148 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/6 (*.f64 y y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/6 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y))) (cbrt.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/6 (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/6 (*.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/6 (*.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 y y)))))))) |
| 1× | egg-herbie |
| 1106× | sqr-pow_binary64 |
| 618× | cube-prod_binary64 |
| 552× | fabs-mul_binary64 |
| 536× | pow-sqr_binary64 |
| 445× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 12 | 84 |
| 2 | 23 | 84 |
| 3 | 44 | 84 |
| 4 | 107 | 84 |
| 5 | 336 | 84 |
| 6 | 1237 | 84 |
| 7 | 2113 | 84 |
| 8 | 2277 | 84 |
| 9 | 2461 | 84 |
| 10 | 2669 | 84 |
| 11 | 2960 | 84 |
| 12 | 3353 | 84 |
| 13 | 3833 | 84 |
| 14 | 4396 | 84 |
| 15 | 5078 | 84 |
| 16 | 5915 | 84 |
| 17 | 6307 | 84 |
| 18 | 6593 | 84 |
| 19 | 6867 | 84 |
| 20 | 6939 | 84 |
| 21 | 6975 | 84 |
| 22 | 7916 | 84 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (pow.f64 y 2)) |
| Outputs |
|---|
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
(*.f64 -1/6 (pow.f64 y 2)) |
(*.f64 -1/6 (*.f64 y y)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))) | |
| 0.1b | (/.f64 1 (sin.f64 y)) | |
| 0.1b | (/.f64 1 (sin.f64 y)) | |
| ✓ | 0.2b | (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))) |
Compiled 21 to 13 computations (38.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))) |
| 0.0ms | y | @ | -inf | (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))) |
| 0.0ms | y | @ | inf | (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))) |
| 1× | batch-egg-rewrite |
| 731× | pow1_binary64 |
| 676× | add-log-exp_binary64 |
| 676× | log1p-expm1-u_binary64 |
| 676× | expm1-log1p-u_binary64 |
| 659× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 12 |
| 1 | 151 | 6 |
| 2 | 1998 | 6 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (cbrt.f64 (/.f64 1 y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 y) (/.f64 1 (/.f64 -1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 y)) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 y -1/2) 1) (/.f64 (pow.f64 y -1/2) (/.f64 1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (/.f64 (/.f64 1 y) (/.f64 1 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 y -1/2) (cbrt.f64 (pow.f64 (sin.f64 y) -2))) (/.f64 (pow.f64 y -1/2) (/.f64 1 (cbrt.f64 (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (sin.f64 y) -1/2)) (/.f64 (/.f64 1 y) (pow.f64 (sin.f64 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (sin.f64 y) -1/2)) (/.f64 (cbrt.f64 (/.f64 1 y)) (pow.f64 (sin.f64 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) -1) (neg.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sin.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 y) (/.f64 -1 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (/.f64 (pow.f64 y -2) y) (pow.f64 (/.f64 1 (sin.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y))))))) |
| 1× | egg-herbie |
| 1583× | fma-def_binary64 |
| 620× | sqr-pow_binary64 |
| 438× | associate-/r*_binary64 |
| 400× | *-commutative_binary64 |
| 326× | distribute-lft-out_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 100 |
| 1 | 45 | 98 |
| 2 | 101 | 94 |
| 3 | 297 | 94 |
| 4 | 1096 | 94 |
| 5 | 2879 | 94 |
| 6 | 3502 | 94 |
| 7 | 3914 | 94 |
| 8 | 4337 | 94 |
| 9 | 5101 | 94 |
| 10 | 5435 | 94 |
| 11 | 6757 | 94 |
| 12 | 7216 | 94 |
| 13 | 7764 | 94 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 y y))) |
(fma.f64 -1/6 (*.f64 y y) 1) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))) |
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) |
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))) |
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) (fma.f64 -1/5040 (pow.f64 y 6) 1)) |
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))) |
(fma.f64 y (fma.f64 -1/6 y (*.f64 -1/5040 (pow.f64 y 5))) (fma.f64 1/120 (pow.f64 y 4) 1)) |
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/5040 (pow.f64 y 6) 1))) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 (sin.f64 y) y) | |
| 0.1b | (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2) | |
| 0.0b | (sqrt.f64 (/.f64 (sin.f64 y) y)) | |
| ✓ | 0.0b | (sqrt.f64 (/.f64 (sin.f64 y) y)) |
| ✓ | 0.1b | (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2) |
| 0.1b | (/.f64 (sin.f64 y) y) |
Compiled 22 to 8 computations (63.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | inf | (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2) |
| 2.0ms | y | @ | -inf | (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2) |
| 1.0ms | y | @ | -inf | (sqrt.f64 (/.f64 (sin.f64 y) y)) |
| 1.0ms | y | @ | inf | (sqrt.f64 (/.f64 (sin.f64 y) y)) |
| 1.0ms | y | @ | 0 | (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2) |
| 1× | batch-egg-rewrite |
| 624× | pow1_binary64 |
| 582× | add-log-exp_binary64 |
| 582× | log1p-expm1-u_binary64 |
| 582× | expm1-log1p-u_binary64 |
| 568× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 14 |
| 1 | 150 | 14 |
| 2 | 1594 | 14 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2) |
(sqrt.f64 (/.f64 (sin.f64 y) y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (sqrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (sin.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (/.f64 (sin.f64 y) y) 1/4)) (pow.f64 (/.f64 (sin.f64 y) y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y (sin.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (sin.f64 y))) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (/.f64 1 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 y)) (/.f64 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) (pow.f64 (/.f64 (sin.f64 y) y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (sqrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 y) y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))))))) |
| 1× | egg-herbie |
| 874× | *-commutative_binary64 |
| 652× | distribute-lft-out_binary64 |
| 518× | sqr-pow_binary64 |
| 452× | associate-+l+_binary64 |
| 432× | distribute-rgt-out_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 104 |
| 1 | 69 | 100 |
| 2 | 170 | 92 |
| 3 | 527 | 92 |
| 4 | 1884 | 92 |
| 5 | 3485 | 92 |
| 6 | 4330 | 92 |
| 7 | 4788 | 92 |
| 8 | 5567 | 92 |
| 9 | 6452 | 92 |
| 10 | 6981 | 92 |
| 11 | 7615 | 92 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))) |
1 |
(+.f64 1 (*.f64 -1/12 (pow.f64 y 2))) |
(+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 y 2)) (*.f64 1/1440 (pow.f64 y 4)))) |
(+.f64 1 (+.f64 (*.f64 -1/24192 (pow.f64 y 6)) (+.f64 (*.f64 -1/12 (pow.f64 y 2)) (*.f64 1/1440 (pow.f64 y 4))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 y y))) |
(fma.f64 -1/6 (*.f64 y y) 1) |
(fma.f64 y (*.f64 -1/6 y) 1) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))) |
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) |
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))) |
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) (fma.f64 -1/5040 (pow.f64 y 6) 1)) |
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/120) -1/6) (fma.f64 -1/5040 (pow.f64 y 6) 1)) |
(fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 y (*.f64 -1/6 y) 1))) |
1 |
(+.f64 1 (*.f64 -1/12 (pow.f64 y 2))) |
(+.f64 1 (*.f64 (*.f64 y y) -1/12)) |
(fma.f64 (*.f64 y y) -1/12 1) |
(fma.f64 y (*.f64 y -1/12) 1) |
(+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 y 2)) (*.f64 1/1440 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 -1/12 (*.f64 y y) (*.f64 (pow.f64 y 4) 1/1440))) |
(+.f64 1 (fma.f64 (*.f64 y y) -1/12 (*.f64 (pow.f64 y 4) 1/1440))) |
(fma.f64 y (*.f64 y -1/12) (fma.f64 (pow.f64 y 4) 1/1440 1)) |
(fma.f64 (*.f64 y y) -1/12 (fma.f64 (pow.f64 y 4) 1/1440 1)) |
(+.f64 1 (+.f64 (*.f64 -1/24192 (pow.f64 y 6)) (+.f64 (*.f64 -1/12 (pow.f64 y 2)) (*.f64 1/1440 (pow.f64 y 4))))) |
(+.f64 1 (fma.f64 -1/24192 (pow.f64 y 6) (fma.f64 -1/12 (*.f64 y y) (*.f64 (pow.f64 y 4) 1/1440)))) |
(+.f64 1 (fma.f64 (pow.f64 y 6) -1/24192 (fma.f64 (*.f64 y y) -1/12 (*.f64 (pow.f64 y 4) 1/1440)))) |
(fma.f64 (pow.f64 y 6) -1/24192 (fma.f64 y (*.f64 y -1/12) (fma.f64 (pow.f64 y 4) 1/1440 1))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/1440) -1/12) (fma.f64 (pow.f64 y 6) -1/24192 1)) |
(fma.f64 y (*.f64 y -1/12) (fma.f64 (pow.f64 y 4) 1/1440 (fma.f64 (pow.f64 y 6) -1/24192 1))) |
(fma.f64 (*.f64 y y) -1/12 (fma.f64 (pow.f64 y 4) 1/1440 (fma.f64 (pow.f64 y 6) -1/24192 1))) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 1 (sqrt.f64 y)) | |
| 0.1b | (*.f64 (/.f64 1 (sqrt.f64 y)) (*.f64 (pow.f64 y -1/2) (sin.f64 y))) | |
| 0.1b | (*.f64 (pow.f64 y -1/2) (sin.f64 y)) | |
| ✓ | 0.1b | (*.f64 (pow.f64 y -1/2) (sin.f64 y)) |
| ✓ | 0.1b | (*.f64 (/.f64 1 (sqrt.f64 y)) (*.f64 (pow.f64 y -1/2) (sin.f64 y))) |
| 0.1b | (/.f64 1 (sqrt.f64 y)) |
Compiled 33 to 19 computations (42.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (*.f64 (pow.f64 y -1/2) (sin.f64 y)) |
| 1.0ms | y | @ | -inf | (*.f64 (pow.f64 y -1/2) (sin.f64 y)) |
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 1 (sqrt.f64 y)) (*.f64 (pow.f64 y -1/2) (sin.f64 y))) |
| 0.0ms | y | @ | inf | (*.f64 (pow.f64 y -1/2) (sin.f64 y)) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 1 (sqrt.f64 y)) (*.f64 (pow.f64 y -1/2) (sin.f64 y))) |
| 1× | batch-egg-rewrite |
| 833× | pow1_binary64 |
| 776× | add-log-exp_binary64 |
| 774× | log1p-expm1-u_binary64 |
| 774× | expm1-log1p-u_binary64 |
| 758× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 207 | 18 |
| 2 | 2426 | 18 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (sqrt.f64 y)) (*.f64 (pow.f64 y -1/2) (sin.f64 y))) |
(*.f64 (pow.f64 y -1/2) (sin.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 y) (/.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 y) (*.f64 (pow.f64 y -1/2) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 y -1/2) (/.f64 (sqrt.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y -1/2) (sin.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 y -1/2) (sin.f64 y))) 2) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (pow.f64 y -1/2) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 y -1/4)) (/.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 y -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 y -1/2) (sin.f64 y))) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 y -1/2) (sin.f64 y)) (pow.f64 y 1/4)) (pow.f64 y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 y -1/2) (sin.f64 y)) 1) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 y -1/2) (sin.f64 y)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (pow.f64 y -1/2) (sin.f64 y))) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 y -1/2) (sin.f64 y)) -1) (neg.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y -1/2) (sqrt.f64 (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1 y)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 y -1/2) (sin.f64 y)) 3) (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 y -1/2) 3) (pow.f64 (*.f64 (pow.f64 y -1/2) (sin.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 y -1/2) (sin.f64 y)) 3) (pow.f64 (pow.f64 y -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 1 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 y -1/2) (sin.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y -1/2) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 y -1/2) (sin.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 y -1/2) (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 y -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 y -1/2) (sin.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 y -1/2) 3) (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (pow.f64 y -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 y -1/2) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 y -1/2) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 y -1/2) (sin.f64 y)))))))) |
| 1× | egg-herbie |
| 710× | fma-def_binary64 |
| 627× | associate-/l/_binary64 |
| 349× | *-commutative_binary64 |
| 326× | distribute-lft-out_binary64 |
| 310× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 108 |
| 1 | 51 | 106 |
| 2 | 113 | 102 |
| 3 | 322 | 102 |
| 4 | 1154 | 102 |
| 5 | 3035 | 102 |
| 6 | 4028 | 102 |
| 7 | 6219 | 102 |
| 8 | 7009 | 102 |
| 9 | 7741 | 102 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))) |
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(*.f64 -1 (/.f64 (sin.f64 y) y)) |
(*.f64 -1 (/.f64 (sin.f64 y) y)) |
(*.f64 -1 (/.f64 (sin.f64 y) y)) |
(*.f64 -1 (/.f64 (sin.f64 y) y)) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2))) |
(+.f64 1 (*.f64 -1/6 (*.f64 y y))) |
(fma.f64 -1/6 (*.f64 y y) 1) |
(+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))) |
(+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4)))) |
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)) |
(+.f64 (*.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))))) |
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/6 (*.f64 y y) (*.f64 1/120 (pow.f64 y 4))) (fma.f64 -1/5040 (pow.f64 y 6) 1)) |
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))) |
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 1/120 (pow.f64 y 4) 1))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y 1/120) -1/6) (fma.f64 -1/5040 (pow.f64 y 6) 1)) |
(fma.f64 y (fma.f64 -1/6 y (*.f64 -1/5040 (pow.f64 y 5))) (fma.f64 1/120 (pow.f64 y 4) 1)) |
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 -1/5040 (pow.f64 y 6) 1))) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (sin.f64 y) y) |
(*.f64 -1 (/.f64 (sin.f64 y) y)) |
(neg.f64 (/.f64 (sin.f64 y) y)) |
(/.f64 (neg.f64 (sin.f64 y)) y) |
(*.f64 -1 (/.f64 (sin.f64 y) y)) |
(neg.f64 (/.f64 (sin.f64 y) y)) |
(/.f64 (neg.f64 (sin.f64 y)) y) |
(*.f64 -1 (/.f64 (sin.f64 y) y)) |
(neg.f64 (/.f64 (sin.f64 y) y)) |
(/.f64 (neg.f64 (sin.f64 y)) y) |
(*.f64 -1 (/.f64 (sin.f64 y) y)) |
(neg.f64 (/.f64 (sin.f64 y) y)) |
(/.f64 (neg.f64 (sin.f64 y)) y) |
Compiled 5172 to 3024 computations (41.5% saved)
26 alts after pruning (20 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 389 | 14 | 403 |
| Fresh | 8 | 6 | 14 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 6 | 6 |
| Total | 398 | 26 | 424 |
| Status | Error | Program |
|---|---|---|
| 44.6b | (*.f64 (/.f64 1 (sqrt.f64 y)) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) 3))) | |
| ✓ | 0.1b | (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) |
| 1.2b | (/.f64 1 (/.f64 y (sin.f64 y))) | |
| 32.7b | (/.f64 (/.f64 1 y) (pow.f64 (pow.f64 (sin.f64 y) -1/2) 2)) | |
| 33.5b | (+.f64 1 (*.f64 -1/6 (*.f64 y y))) | |
| 0.9b | (*.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (*.f64 1/2 (*.f64 x x)))) | |
| ✓ | 62.7b | (*.f64 -1/6 (*.f64 y y)) |
| 39.8b | (/.f64 (/.f64 1 y) (sqrt.f64 (pow.f64 (sin.f64 y) -2))) | |
| 21.7b | (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)) | |
| ✓ | 19.4b | (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2) |
| 33.3b | (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)) | |
| ✓ | 0.9b | (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)) y) |
| 32.8b | (fma.f64 1/2 (*.f64 x x) 1) | |
| 1.8b | (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3) | |
| 60.7b | (*.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 (sin.f64 y) x)) | |
| 23.2b | (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2)) 2) | |
| 32.8b | (/.f64 (*.f64 y (fma.f64 1/2 (*.f64 x x) 1)) y) | |
| 33.8b | (/.f64 (/.f64 1 y) (exp.f64 (neg.f64 (log.f64 (sin.f64 y))))) | |
| 60.7b | (/.f64 (*.f64 (sin.f64 y) (*.f64 x (*.f64 1/2 x))) y) | |
| 1.3b | (*.f64 (sin.f64 y) (/.f64 1 y)) | |
| ✓ | 1.3b | (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))) |
| ✓ | 1.2b | (/.f64 (sin.f64 y) y) |
| 32.9b | 1 | |
| 33.2b | (/.f64 (*.f64 (pow.f64 y -1/2) (sin.f64 y)) (sqrt.f64 y)) | |
| 33.2b | (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (pow.f64 y -1/2))) | |
| 31.9b | (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (*.f64 1/6 y))) |
Compiled 264 to 196 computations (25.8% saved)
| Inputs |
|---|
1 |
1 |
1 |
(*.f64 -1/6 (*.f64 y y)) |
(+.f64 1 (*.f64 -1/6 (*.f64 y y))) |
(/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (*.f64 1/6 y))) |
(/.f64 (sin.f64 y) y) |
(/.f64 1 (/.f64 y (sin.f64 y))) |
(fma.f64 1/2 (*.f64 x x) 1) |
(/.f64 1 (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 1 y)) |
(fma.f64 -1/6 (*.f64 y y) 1) |
(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))) |
(*.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y (fma.f64 1/2 (*.f64 x x) 1)) y) |
(/.f64 (*.f64 (sin.f64 y) (*.f64 x (*.f64 1/2 x))) y) |
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) (cosh.f64 x))) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (*.f64 1/2 (*.f64 x x)))) |
(pow.f64 (/.f64 y (sin.f64 y)) -1) |
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) |
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 (sin.f64 y)) (cosh.f64 x))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 1/2 (*.f64 -1/12 (*.f64 y y)))) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)) |
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3) |
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)) |
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3) |
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (/.f64 1 y) (sqrt.f64 (pow.f64 (sin.f64 y) -2))) |
(/.f64 (/.f64 1 y) (exp.f64 (neg.f64 (log.f64 (sin.f64 y))))) |
(/.f64 (*.f64 (pow.f64 y -1/2) (sin.f64 y)) (sqrt.f64 y)) |
(/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) (pow.f64 y -1/2))) |
(*.f64 (pow.f64 y -1/2) (/.f64 (sin.f64 y) (sqrt.f64 y))) |
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1) |
(/.f64 (/.f64 1 y) (pow.f64 (pow.f64 (sin.f64 y) -1/2) 2)) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (*.f64 (pow.f64 y -1/2) (sin.f64 y))) |
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3/2)) 2) |
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y)))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 y) (cosh.f64 x)))) y) |
(/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 3)) |
(/.f64 (sin.f64 y) (pow.f64 (sqrt.f64 (/.f64 y (cosh.f64 x))) 2)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) 3)) |
(/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 3)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 3) |
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y)) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (cosh.f64 x)))) |
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y))) |
(*.f64 (/.f64 1 (sqrt.f64 y)) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) 3))) |
(*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (sqrt.f64 (/.f64 (cosh.f64 x) y)) (sin.f64 y))) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (cosh.f64 x)))) |
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (cosh.f64 x)))) (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y (cosh.f64 x))))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y))) |
(*.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 2)) (cbrt.f64 (/.f64 (cosh.f64 x) y))) |
(pow.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (sin.f64 y) y)))) 3) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) |
7 calls:
| 31.0ms | (/.f64 (sin.f64 y) y) |
| 30.0ms | y |
| 30.0ms | x |
| 28.0ms | (/.f64 (sin.f64 y) y) |
| 28.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 0.1b | 1 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 0.1b | 1 | (cosh.f64 x) |
| 0.1b | 1 | (/.f64 (sin.f64 y) y) |
| 0.1b | 1 | (/.f64 (sin.f64 y) y) |
Compiled 605 to 272 computations (55% saved)
| Inputs |
|---|
1 |
1 |
1 |
(*.f64 -1/6 (*.f64 y y)) |
(+.f64 1 (*.f64 -1/6 (*.f64 y y))) |
(/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (*.f64 1/6 y))) |
(/.f64 (sin.f64 y) y) |
(/.f64 1 (/.f64 y (sin.f64 y))) |
(fma.f64 1/2 (*.f64 x x) 1) |
(/.f64 1 (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 1 y)) |
(fma.f64 -1/6 (*.f64 y y) 1) |
(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))) |
(*.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y (fma.f64 1/2 (*.f64 x x) 1)) y) |
(/.f64 (*.f64 (sin.f64 y) (*.f64 x (*.f64 1/2 x))) y) |
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) (cosh.f64 x))) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) (+.f64 1 (*.f64 1/2 (*.f64 x x)))) |
(pow.f64 (/.f64 y (sin.f64 y)) -1) |
| Outputs |
|---|
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)) y) |
6 calls:
| 11.0ms | y |
| 10.0ms | x |
| 10.0ms | (/.f64 (sin.f64 y) y) |
| 9.0ms | (/.f64 (sin.f64 y) y) |
| 2.0ms | (cosh.f64 x) |
| Error | Segments | Branch |
|---|---|---|
| 0.9b | 1 | x |
| 0.9b | 1 | y |
| 0.9b | 1 | (cosh.f64 x) |
| 0.9b | 1 | (cosh.f64 x) |
| 0.9b | 1 | (/.f64 (sin.f64 y) y) |
| 0.9b | 1 | (/.f64 (sin.f64 y) y) |
Compiled 166 to 96 computations (42.2% saved)
| Inputs |
|---|
1 |
1 |
1 |
(*.f64 -1/6 (*.f64 y y)) |
(+.f64 1 (*.f64 -1/6 (*.f64 y y))) |
(/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (*.f64 1/6 y))) |
(/.f64 (sin.f64 y) y) |
(/.f64 1 (/.f64 y (sin.f64 y))) |
(fma.f64 1/2 (*.f64 x x) 1) |
(/.f64 1 (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 1 y)) |
(fma.f64 -1/6 (*.f64 y y) 1) |
(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))) |
(*.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 y (fma.f64 1/2 (*.f64 x x) 1)) y) |
(/.f64 (*.f64 (sin.f64 y) (*.f64 x (*.f64 1/2 x))) y) |
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) (cosh.f64 x))) |
| Outputs |
|---|
(/.f64 (sin.f64 y) y) |
4 calls:
| 11.0ms | x |
| 10.0ms | y |
| 9.0ms | (/.f64 (sin.f64 y) y) |
| 2.0ms | (cosh.f64 x) |
| Error | Segments | Branch |
|---|---|---|
| 1.2b | 1 | x |
| 1.2b | 1 | y |
| 1.2b | 1 | (cosh.f64 x) |
| 1.2b | 1 | (/.f64 (sin.f64 y) y) |
Compiled 126 to 75 computations (40.5% saved)
| Inputs |
|---|
1 |
1 |
1 |
(*.f64 -1/6 (*.f64 y y)) |
(+.f64 1 (*.f64 -1/6 (*.f64 y y))) |
(/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (*.f64 1/6 y))) |
| Outputs |
|---|
(/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (*.f64 1/6 y))) |
2 calls:
| 6.0ms | x |
| 5.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 31.9b | 1 | x |
| 31.9b | 1 | y |
Compiled 34 to 24 computations (29.4% saved)
Total -30.1b remaining (-91.5%)
Threshold costs -30.1b (-91.5%)
| Inputs |
|---|
1 |
1 |
1 |
(*.f64 -1/6 (*.f64 y y)) |
(+.f64 1 (*.f64 -1/6 (*.f64 y y))) |
| Outputs |
|---|
1 |
2 calls:
| 5.0ms | x |
| 4.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 32.9b | 1 | x |
| 32.9b | 1 | y |
Compiled 23 to 16 computations (30.4% saved)
| 1× | egg-herbie |
| 5× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 52 |
| 1 | 29 | 52 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (*.f64 1/6 y))) |
1 |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) (sin.f64 y)) y) |
(/.f64 (*.f64 (sin.f64 y) (+.f64 (*.f64 x (*.f64 x 1/2)) 1)) y) |
(/.f64 (sin.f64 y) y) |
(/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (*.f64 1/6 y))) |
(/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (*.f64 y 1/6))) |
1 |
| 1× | fuel |
Compiled 82 to 56 computations (31.7% saved)
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