Time bar (total: 13.6s)
| 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 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 6.2% | 93.7% | 0.1% | 7 |
| 15.6% | 84.3% | 0.1% | 8 |
| 28.1% | 71.8% | 0.1% | 9 |
| 30.4% | 69.5% | 0.1% | 10 |
| 38.2% | 61.7% | 0.1% | 11 |
| 39.6% | 60.3% | 0.1% | 12 |
Compiled 16 to 12 computations (25% saved)
| 1.2s | 4938× | body | 256 | valid |
| 1.0s | 1134× | body | 2048 | valid |
| 751.0ms | 1324× | body | 1024 | valid |
| 360.0ms | 858× | body | 512 | valid |
| 8.0ms | 2× | body | 4096 | valid |
| 2× | egg-herbie |
| 4× | associate-/r*_binary64 |
| 2× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 40 |
| 1 | 20 | 40 |
| 2 | 24 | 40 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (tan.f64 (/.f64 y (*.f64 x 2))) (sin.f64 (/.f64 y (*.f64 x 2)))) |
| Outputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (tan.f64 (/.f64 y (*.f64 x 2))) (sin.f64 (/.f64 y (*.f64 x 2)))) |
(/.f64 (tan.f64 (/.f64 (/.f64 y x) 2)) (sin.f64 (/.f64 (/.f64 y x) 2))) |
Compiled 17 to 13 computations (23.5% saved)
| 1× | egg-herbie |
| 2× | associate-/r*_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 12 | 20 |
| 2 | 14 | 20 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| Outputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
Compiled 15 to 11 computations (26.7% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 33.6b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
Compiled 15 to 11 computations (26.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 7.1b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| ✓ | 26.5b | (sin.f64 (/.f64 x (*.f64 y 2))) |
| ✓ | 26.6b | (tan.f64 (/.f64 x (*.f64 y 2))) |
Compiled 38 to 25 computations (34.2% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 2.0ms | y | @ | -inf | (tan.f64 (/.f64 x (*.f64 y 2))) |
| 2.0ms | y | @ | inf | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 2.0ms | x | @ | 0 | (tan.f64 (/.f64 x (*.f64 y 2))) |
| 2.0ms | y | @ | inf | (tan.f64 (/.f64 x (*.f64 y 2))) |
| 1× | batch-egg-rewrite |
| 621× | prod-diff_binary64 |
| 522× | log-prod_binary64 |
| 269× | pow-prod-down_binary64 |
| 260× | pow2_binary64 |
| 183× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 38 |
| 1 | 193 | 38 |
| 2 | 2622 | 30 |
| 1× | node limit |
| Inputs |
|---|
(tan.f64 (/.f64 x (*.f64 y 2))) |
(sin.f64 (/.f64 x (*.f64 y 2))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sin.f64 (/.f64 x (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) -1/2) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (neg.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 3) (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1) 1)))))) |
| 1× | egg-herbie |
| 550× | cancel-sign-sub-inv_binary64 |
| 319× | associate-*l/_binary64 |
| 305× | distribute-rgt-in_binary64 |
| 296× | fma-neg_binary64 |
| 270× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 237 | 2577 |
| 1 | 786 | 2495 |
| 2 | 3299 | 2347 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 1/2 (/.f64 x y)))) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 1/2 (/.f64 x y)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))) |
(-.f64 (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (pow.f64 x 2)) (pow.f64 y 7))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/384 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 4)) (pow.f64 y 7))) (*.f64 -1/92160 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 x 2))) (+.f64 (*.f64 1/92160 (pow.f64 x 7)) (*.f64 1/384 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 4)))))) (pow.f64 y 7))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
1 |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x)))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (*.f64 (pow.f64 y 4) x))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/645120 (pow.f64 x 7)) (+.f64 (*.f64 1/384 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 4))) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (pow.f64 x 2))) (*.f64 -1/92160 (pow.f64 x 7))))) (*.f64 (pow.f64 y 6) x))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (*.f64 (pow.f64 y 4) x)))))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) x)) (+.f64 (*.f64 1/1920 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2))))) (pow.f64 x 2)) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 4)) (pow.f64 y 6))) (+.f64 (*.f64 -1/322560 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))))) |
1 |
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x)))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (*.f64 (pow.f64 y 4) x))))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (*.f64 (pow.f64 y 4) x))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (*.f64 -2 (/.f64 (-.f64 (*.f64 1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 x 2))) (+.f64 (*.f64 1/92160 (pow.f64 x 7)) (*.f64 1/384 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 4)))))) (*.f64 (pow.f64 y 6) x)))))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) x)) (+.f64 (*.f64 -1/24 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2))) (*.f64 1/1920 (pow.f64 x 4)))) (pow.f64 x 2)) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 4)) (pow.f64 y 6))) (+.f64 (*.f64 -1/322560 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 x y)) |
(*.f64 (/.f64 1/2 y) x) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/24 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 1/2 y) x)) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 1/2 (/.f64 x y)))) |
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 1/2 (/.f64 x y)))) |
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 x y) (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 1/24 (pow.f64 (/.f64 x y) 3) (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 1/240 (pow.f64 x 5)) (pow.f64 y 5)))) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 1/2 (/.f64 x y) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(fma.f64 1/24 (pow.f64 (/.f64 x y) 3) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 1/2 (/.f64 x y) (*.f64 (/.f64 17/40320 (pow.f64 y 7)) (pow.f64 x 7))))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 1/2 y) x)) (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 1/2 y) x)) (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 1/2 y) x)) (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 1/2 y) x)) (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 1/2 y) x)) (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 1/2 y) x)) (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 1/2 y) x)) (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 1/2 y) x)) (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 1/2 y) x)) (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 1/2 y) x)) (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 1/2 y) x)) (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 1/2 y) x)) (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 (/.f64 1/2 y) x) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/24 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 1/2 y) x)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))) |
(-.f64 (fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840))) (fma.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 3) 1/24) (/.f64 (pow.f64 y 5) (*.f64 x x))) (fma.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/16)))) |
(-.f64 (fma.f64 1/2 (/.f64 x y) (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/48 (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840))) (fma.f64 -1/8 (/.f64 (*.f64 1/24 (pow.f64 x 3)) (/.f64 (pow.f64 y 5) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/16 (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/768)))) |
(-.f64 (fma.f64 1/2 (/.f64 x y) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840))) (fma.f64 -1/8 (*.f64 (/.f64 (*.f64 x x) (pow.f64 y 5)) (*.f64 1/24 (pow.f64 x 3))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/16 (/.f64 1/768 (/.f64 (pow.f64 y 5) (pow.f64 x 5)))))) |
(-.f64 (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (pow.f64 x 2)) (pow.f64 y 7))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/384 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 4)) (pow.f64 y 7))) (*.f64 -1/92160 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))))) |
(-.f64 (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (fma.f64 1/2 (/.f64 x y) (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840)))) (fma.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 3) 1/24) (/.f64 (pow.f64 y 5) (*.f64 x x))) (fma.f64 -1/8 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) 1/3840) (fma.f64 -1/8 (*.f64 (*.f64 (pow.f64 x 3) 1/24) (*.f64 x x)) (*.f64 (pow.f64 x 5) 1/768))) (/.f64 (pow.f64 y 7) (*.f64 x x))) (fma.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/384 (/.f64 (*.f64 (pow.f64 x 3) 1/24) (/.f64 (pow.f64 y 7) (pow.f64 x 4))) (*.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/92160))))))) |
(-.f64 (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/48 (fma.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/645120 (fma.f64 1/2 (/.f64 x y) (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840)))) (fma.f64 -1/8 (/.f64 (*.f64 1/24 (pow.f64 x 3)) (/.f64 (pow.f64 y 5) (*.f64 x x))) (fma.f64 -1/8 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) 1/3840) (fma.f64 -1/8 (*.f64 (*.f64 (*.f64 x x) (pow.f64 x 3)) 1/24) (*.f64 (pow.f64 x 5) 1/768))) (pow.f64 y 7)) (*.f64 x x)) (fma.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/768 (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) -1/16 (fma.f64 1/384 (*.f64 (/.f64 (*.f64 1/24 (pow.f64 x 3)) (pow.f64 y 7)) (pow.f64 x 4)) (*.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/92160))))))) |
(+.f64 (fma.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/645120 (fma.f64 1/2 (/.f64 x y) (*.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/3840))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (-.f64 (*.f64 1/8 (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 1/24 (pow.f64 x 3)) (pow.f64 y 5)) (/.f64 (+.f64 (*.f64 (pow.f64 x 5) -1/960) (*.f64 (*.f64 x x) (*.f64 (*.f64 1/24 (pow.f64 x 3)) 1/8))) (pow.f64 y 7))))) (fma.f64 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) 1/768 (fma.f64 (pow.f64 (/.f64 x y) 3) -1/16 (fma.f64 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) -1/92160 (*.f64 (/.f64 1/384 (pow.f64 y 7)) (*.f64 (pow.f64 x 3) (*.f64 1/24 (pow.f64 x 4)))))))))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 (/.f64 1/2 y) x) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/24 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 1/2 y) x)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))) |
(fma.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24))))) (pow.f64 y 5)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 3) -1/24) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y)))) |
(-.f64 (-.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 y 3) -1/24))) (/.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 1/8 (*.f64 x (*.f64 x (*.f64 (pow.f64 x 3) -1/24))))) (pow.f64 y 5))) |
(-.f64 (fma.f64 1/24 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 1/2 y) x)) (/.f64 (fma.f64 (pow.f64 x 5) 1/960 (*.f64 -1/8 (*.f64 (pow.f64 x 3) (*.f64 1/24 (*.f64 x x))))) (pow.f64 y 5))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 x 2))) (+.f64 (*.f64 1/92160 (pow.f64 x 7)) (*.f64 1/384 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 4)))))) (pow.f64 y 7))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))))) |
(fma.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24))))) (pow.f64 y 5)) (fma.f64 -1 (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24)))))) (fma.f64 1/92160 (pow.f64 x 7) (*.f64 1/384 (*.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 3) -1/24)))))) (pow.f64 y 7)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 3) -1/24) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y))))) |
(-.f64 (-.f64 (-.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (pow.f64 x 3) (/.f64 (pow.f64 y 3) -1/24))) (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (*.f64 x (*.f64 x (+.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 1/8 (*.f64 x (*.f64 x (*.f64 (pow.f64 x 3) -1/24))))))) (fma.f64 (pow.f64 x 7) 1/92160 (*.f64 (*.f64 (pow.f64 x 3) -1/24) (*.f64 (pow.f64 x 4) 1/384))))) (pow.f64 y 7))) (/.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 1/8 (*.f64 x (*.f64 x (*.f64 (pow.f64 x 3) -1/24))))) (pow.f64 y 5))) |
(-.f64 (fma.f64 1/24 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 1/2 y) x)) (+.f64 (/.f64 (fma.f64 (pow.f64 x 5) 1/960 (*.f64 -1/8 (*.f64 (pow.f64 x 3) (*.f64 1/24 (*.f64 x x))))) (pow.f64 y 5)) (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (*.f64 x (*.f64 x (fma.f64 (pow.f64 x 5) 1/960 (*.f64 -1/8 (*.f64 (pow.f64 x 3) (*.f64 1/24 (*.f64 x x))))))) (fma.f64 (pow.f64 x 7) 1/92160 (*.f64 (pow.f64 x 4) (*.f64 (*.f64 1/24 (pow.f64 x 3)) -1/384))))) (pow.f64 y 7)))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 (/.f64 1/2 y) x) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
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(+.f64 (*.f64 2 (+.f64 (*.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) (/.f64 1/24 x)) (+.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) 1/3840) (fma.f64 -1/8 (*.f64 (*.f64 (*.f64 x x) (pow.f64 x 3)) 1/24) (*.f64 (pow.f64 x 5) 1/768))) (*.f64 x (pow.f64 y 4))) (/.f64 (-.f64 (*.f64 (pow.f64 x 7) -1/645120) (fma.f64 1/384 (*.f64 (pow.f64 x 3) (*.f64 1/24 (pow.f64 x 4))) (fma.f64 (pow.f64 x 7) -1/92160 (*.f64 -1/8 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 5) 1/3840) (fma.f64 -1/8 (*.f64 (*.f64 (*.f64 x x) (pow.f64 x 3)) 1/24) (*.f64 (pow.f64 x 5) 1/768)))))))) (*.f64 x (pow.f64 y 6)))))) (-.f64 1 (fma.f64 -1/24 (*.f64 (/.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) 1/3840) (fma.f64 -1/8 (*.f64 (*.f64 (*.f64 x x) (pow.f64 x 3)) 1/24) (*.f64 (pow.f64 x 5) 1/768))) x)) (fma.f64 (pow.f64 x 4) 1/1920 (*.f64 -1/24 (*.f64 (*.f64 x x) (fma.f64 2 (/.f64 (pow.f64 x 3) (/.f64 x 1/24)) (*.f64 1/24 (*.f64 x x))))))) (pow.f64 y 6)) (*.f64 x x)) (fma.f64 1/1920 (*.f64 (/.f64 (fma.f64 2 (/.f64 (pow.f64 x 3) (/.f64 x 1/24)) (*.f64 1/24 (*.f64 x x))) (pow.f64 y 6)) (pow.f64 x 4)) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -1/322560 (fma.f64 -1/24 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 (fma.f64 2 (/.f64 (pow.f64 x 3) (/.f64 x 1/24)) (*.f64 1/24 (*.f64 x x))) (pow.f64 y 4)) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/1920))))))) |
(+.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) (/.f64 1/24 x)) 1) (-.f64 (*.f64 (/.f64 2 x) (+.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 5) -1/960) (*.f64 (*.f64 x x) (*.f64 (*.f64 1/24 (pow.f64 x 3)) 1/8))) (pow.f64 y 4)) (/.f64 (-.f64 (fma.f64 (pow.f64 x 7) -1/645120 (*.f64 (pow.f64 x 4) (*.f64 (*.f64 1/24 (pow.f64 x 3)) -1/384))) (fma.f64 (pow.f64 x 7) -1/92160 (*.f64 -1/8 (*.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 x 5) -1/960) (*.f64 (*.f64 x x) (*.f64 (*.f64 1/24 (pow.f64 x 3)) 1/8))))))) (pow.f64 y 6)))) (fma.f64 -1/24 (*.f64 (/.f64 (*.f64 x x) (pow.f64 y 6)) (-.f64 (fma.f64 2 (/.f64 (+.f64 (*.f64 (pow.f64 x 5) -1/960) (*.f64 (*.f64 x x) (*.f64 (*.f64 1/24 (pow.f64 x 3)) 1/8))) x) (*.f64 (pow.f64 x 4) -1/1920)) (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 2 (/.f64 (*.f64 1/24 (pow.f64 x 3)) x) (*.f64 1/24 (*.f64 x x)))))) (fma.f64 1/1920 (*.f64 (/.f64 (fma.f64 2 (/.f64 (*.f64 1/24 (pow.f64 x 3)) x) (*.f64 1/24 (*.f64 x x))) (pow.f64 y 6)) (pow.f64 x 4)) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -1/322560 (fma.f64 -1/24 (*.f64 (+.f64 1 (/.f64 (fma.f64 2 (/.f64 (*.f64 1/24 (pow.f64 x 3)) x) (*.f64 1/24 (*.f64 x x))) (*.f64 y y))) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) 1/1920)))))))) |
1 |
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x)))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (-.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 x 3) -1/24) (*.f64 x (*.f64 y y)))) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/24))) |
(+.f64 1 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) (/.f64 -1/24 x)) (*.f64 1/24 (*.f64 (/.f64 x y) (/.f64 x y))))) |
(+.f64 1 (/.f64 (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 1/24 (*.f64 x x))) (*.f64 y y))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (*.f64 (pow.f64 y 4) x))))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(-.f64 (+.f64 1 (*.f64 -2 (+.f64 (/.f64 (*.f64 (pow.f64 x 3) -1/24) (*.f64 x (*.f64 y y))) (/.f64 (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24))))) (*.f64 x (pow.f64 y 4)))))) (fma.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/24 (+.f64 (/.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 x 3) -1/24) x)) (*.f64 1/24 (*.f64 x x))) (/.f64 (pow.f64 y 4) (*.f64 x x))) (/.f64 (*.f64 x x) (*.f64 y y)))))) |
(-.f64 (fma.f64 -2 (+.f64 (*.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) (/.f64 -1/24 x)) (/.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 1/8 (*.f64 x (*.f64 x (*.f64 (pow.f64 x 3) -1/24))))) (*.f64 x (pow.f64 y 4)))) 1) (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/1920 (*.f64 -1/24 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 1/24 (*.f64 x x))) (pow.f64 y 4)) (*.f64 x x)))))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 -2 x) (+.f64 (*.f64 (/.f64 (pow.f64 x 3) y) (/.f64 -1/24 y)) (/.f64 (fma.f64 (pow.f64 x 5) 1/960 (*.f64 -1/8 (*.f64 (pow.f64 x 3) (*.f64 1/24 (*.f64 x x))))) (pow.f64 y 4)))) (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/1920 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 -1/24 (/.f64 (*.f64 -1/24 (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 1/24 (*.f64 x x)))) (*.f64 y y))))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (*.f64 (pow.f64 y 4) x))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (*.f64 -2 (/.f64 (-.f64 (*.f64 1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 x 2))) (+.f64 (*.f64 1/92160 (pow.f64 x 7)) (*.f64 1/384 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 4)))))) (*.f64 (pow.f64 y 6) x)))))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) x)) (+.f64 (*.f64 -1/24 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2))) (*.f64 1/1920 (pow.f64 x 4)))) (pow.f64 x 2)) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 4)) (pow.f64 y 6))) (+.f64 (*.f64 -1/322560 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))))) |
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24))))) (*.f64 x (pow.f64 y 4))) (*.f64 -2 (+.f64 (/.f64 (*.f64 (pow.f64 x 3) -1/24) (*.f64 x (*.f64 y y))) (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24)))))) (fma.f64 1/92160 (pow.f64 x 7) (*.f64 1/384 (*.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 3) -1/24)))))) (*.f64 x (pow.f64 y 6)))))) (fma.f64 -1/24 (/.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24))))) x)) (fma.f64 -1/24 (*.f64 (*.f64 x x) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 x 3) -1/24) x)) (*.f64 1/24 (*.f64 x x)))) (*.f64 (pow.f64 x 4) 1/1920))) (/.f64 (pow.f64 y 6) (*.f64 x x))) (fma.f64 1/1920 (/.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 x 3) -1/24) x)) (*.f64 1/24 (*.f64 x x))) (/.f64 (pow.f64 y 6) (pow.f64 x 4))) (fma.f64 -1/322560 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/24 (+.f64 (/.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 x 3) -1/24) x)) (*.f64 1/24 (*.f64 x x))) (/.f64 (pow.f64 y 4) (*.f64 x x))) (/.f64 (*.f64 x x) (*.f64 y y)))))))))) |
(+.f64 1 (-.f64 (*.f64 -2 (+.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 1/8 (*.f64 x (*.f64 x (*.f64 (pow.f64 x 3) -1/24))))) (*.f64 x (pow.f64 y 4))) (+.f64 (*.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) (/.f64 -1/24 x)) (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (*.f64 x (*.f64 x (+.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 1/8 (*.f64 x (*.f64 x (*.f64 (pow.f64 x 3) -1/24))))))) (fma.f64 (pow.f64 x 7) 1/92160 (*.f64 (*.f64 (pow.f64 x 3) -1/24) (*.f64 (pow.f64 x 4) 1/384))))) (*.f64 x (pow.f64 y 6)))))) (fma.f64 -1/24 (/.f64 (-.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 1/8 (*.f64 x (*.f64 x (*.f64 (pow.f64 x 3) -1/24))))) x)) (fma.f64 (pow.f64 x 4) 1/1920 (*.f64 (*.f64 x x) (*.f64 -1/24 (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 1/24 (*.f64 x x))))))) (/.f64 (pow.f64 y 6) (*.f64 x x))) (fma.f64 1/1920 (*.f64 (/.f64 (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 1/24 (*.f64 x x))) (pow.f64 y 6)) (pow.f64 x 4)) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -1/322560 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/1920 (*.f64 -1/24 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 1/24 (*.f64 x x))) (pow.f64 y 4)) (*.f64 x x)))))))))) |
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 (fma.f64 (pow.f64 x 5) 1/960 (*.f64 -1/8 (*.f64 (pow.f64 x 3) (*.f64 1/24 (*.f64 x x))))) (*.f64 x (pow.f64 y 4))) (*.f64 (/.f64 -2 x) (+.f64 (*.f64 (/.f64 (pow.f64 x 3) y) (/.f64 -1/24 y)) (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (*.f64 x (*.f64 x (fma.f64 (pow.f64 x 5) 1/960 (*.f64 -1/8 (*.f64 (pow.f64 x 3) (*.f64 1/24 (*.f64 x x))))))) (fma.f64 (pow.f64 x 7) 1/92160 (*.f64 (pow.f64 x 4) (*.f64 (*.f64 1/24 (pow.f64 x 3)) -1/384))))) (pow.f64 y 6))))) (fma.f64 -1/24 (*.f64 (/.f64 (*.f64 x x) (pow.f64 y 6)) (+.f64 (fma.f64 -2 (/.f64 (fma.f64 (pow.f64 x 5) 1/960 (*.f64 -1/8 (*.f64 (pow.f64 x 3) (*.f64 1/24 (*.f64 x x))))) x) (*.f64 1/24 (*.f64 (*.f64 x x) (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 1/24 (*.f64 x x)))))) (*.f64 (pow.f64 x 4) -1/1920))) (fma.f64 1/1920 (*.f64 (/.f64 (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 1/24 (*.f64 x x))) (pow.f64 y 6)) (pow.f64 x 4)) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -1/322560 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/1920 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 -1/24 (/.f64 (*.f64 -1/24 (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 1/24 (*.f64 x x)))) (*.f64 y y)))))))))) |
Compiled 4770 to 3579 computations (25% saved)
43 alts after pruning (43 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 112 | 43 | 155 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 113 | 43 | 156 |
| Status | Error | Program |
|---|---|---|
| 26.9b | 1 | |
| 34.1b | (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 34.1b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (*.f64 (/.f64 1/2 y) x))) | |
| 35.0b | (/.f64 (expm1.f64 (log1p.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 28.6b | (exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 3)) | |
| 26.7b | (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3) | |
| 58.4b | (/.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 34.1b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 61.1b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 1)))) | |
| ▶ | 52.2b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 49.3b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))) | |
| 59.2b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)) | |
| 36.6b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 (/.f64 1/2 y) x))) | |
| 28.5b | (exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 59.3b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) | |
| 59.3b | (/.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 1) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| ▶ | 26.6b | (/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
| ▶ | 26.7b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
| 59.2b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 59.3b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) | |
| 58.5b | (/.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| ▶ | 26.4b | (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
| 51.4b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) | |
| 34.5b | (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 34.1b | (/.f64 (+.f64 0 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.8b | (/.f64 (*.f64 (/.f64 1/2 y) x) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 26.7b | (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3)) | |
| 43.6b | (*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 27.9b | (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) | |
| 47.5b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)) | |
| 49.3b | (/.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.8b | (/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 34.4b | (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) -2) (/.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 34.5b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)) | |
| 29.7b | (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) | |
| 27.4b | (sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) | |
| 43.6b | (*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (*.f64 x (/.f64 1/2 y))))) | |
| 34.9b | (*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) | |
| ▶ | 48.6b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3))) |
| 34.5b | (/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 34.1b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 58.5b | (/.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 49.5b | (/.f64 (exp.f64 (*.f64 (*.f64 3 (log.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 1/3)) (sin.f64 (/.f64 x (*.f64 y 2)))) |
Compiled 1611 to 1261 computations (21.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 1/2 (/.f64 x y)) |
| ✓ | 0.1b | (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
| ✓ | 26.1b | (cos.f64 (*.f64 1/2 (/.f64 x y))) |
Compiled 28 to 15 computations (46.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
| 1.0ms | y | @ | inf | (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
| 1.0ms | x | @ | inf | (*.f64 1/2 (/.f64 x y)) |
| 1.0ms | y | @ | 0 | (*.f64 1/2 (/.f64 x y)) |
| 1.0ms | x | @ | -inf | (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
| 1× | batch-egg-rewrite |
| 895× | pow1_binary64 |
| 827× | add-log-exp_binary64 |
| 827× | log1p-expm1-u_binary64 |
| 827× | expm1-log1p-u_binary64 |
| 810× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 185 | 28 |
| 2 | 2248 | 28 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 1/2 (/.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1/2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y)))))))) |
| 1× | egg-herbie |
| 797× | fma-neg_binary64 |
| 472× | unswap-sqr_binary64 |
| 470× | associate-*l/_binary64 |
| 318× | associate-*r/_binary64 |
| 296× | *-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 566 |
| 1 | 157 | 546 |
| 2 | 477 | 512 |
| 3 | 2095 | 498 |
| 4 | 5848 | 450 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) (fma.f64 -1/46080 (pow.f64 (/.f64 x y) 6) 1))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) (fma.f64 -1/46080 (pow.f64 (/.f64 x y) 6) 1))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) (fma.f64 -1/46080 (pow.f64 (/.f64 x y) 6) 1))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))) |
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) |
(fma.f64 (pow.f64 (/.f64 x y) 4) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080)))) |
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1))) |
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080 (*.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)))))) |
(+.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (fma.f64 (pow.f64 (/.f64 x y) 4) 5/384 (*.f64 (pow.f64 (/.f64 x y) 6) 61/46080))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))) |
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) |
(fma.f64 (pow.f64 (/.f64 x y) 4) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(fma.f64 -1 (/.f64 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)))) |
(-.f64 (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) (/.f64 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6))) |
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 (pow.f64 x 6) -5/3072)) (pow.f64 y 6))) |
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) (/.f64 (*.f64 (pow.f64 x 6) -61/46080) (pow.f64 y 6))) |
(-.f64 (fma.f64 (pow.f64 (/.f64 x y) 4) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)) (/.f64 (*.f64 (pow.f64 x 6) -61/46080) (pow.f64 y 6))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))) |
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) |
(fma.f64 (pow.f64 (/.f64 x y) 4) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(fma.f64 -1 (/.f64 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)))) |
(-.f64 (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) (/.f64 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6))) |
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 (pow.f64 x 6) -5/3072)) (pow.f64 y 6))) |
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) (/.f64 (*.f64 (pow.f64 x 6) -61/46080) (pow.f64 y 6))) |
(-.f64 (fma.f64 (pow.f64 (/.f64 x y) 4) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)) (/.f64 (*.f64 (pow.f64 x 6) -61/46080) (pow.f64 y 6))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
| ✓ | 0.2b | (*.f64 (/.f64 1/2 y) x) |
| ✓ | 26.1b | (cos.f64 (*.f64 (/.f64 1/2 y) x)) |
Compiled 28 to 19 computations (32.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
| 0.0ms | y | @ | 0 | (cos.f64 (*.f64 (/.f64 1/2 y) x)) |
| 0.0ms | y | @ | inf | (/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
| 0.0ms | y | @ | inf | (cos.f64 (*.f64 (/.f64 1/2 y) x)) |
| 0.0ms | y | @ | -inf | (cos.f64 (*.f64 (/.f64 1/2 y) x)) |
| 1× | batch-egg-rewrite |
| 859× | pow1_binary64 |
| 793× | add-log-exp_binary64 |
| 793× | log1p-expm1-u_binary64 |
| 793× | expm1-log1p-u_binary64 |
| 777× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 186 | 28 |
| 2 | 2198 | 28 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 (*.f64 (/.f64 1/2 y) x)) |
(*.f64 (/.f64 1/2 y) x) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1/2 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 x y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))))) |
| 1× | egg-herbie |
| 797× | fma-neg_binary64 |
| 488× | associate-*l/_binary64 |
| 478× | unswap-sqr_binary64 |
| 333× | associate-*r/_binary64 |
| 301× | *-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 995 |
| 1 | 165 | 966 |
| 2 | 487 | 932 |
| 3 | 2123 | 918 |
| 4 | 5947 | 870 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
| Outputs |
|---|
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (/.f64 (*.f64 1/2 x) y)) |
(cos.f64 (*.f64 (/.f64 1/2 y) x)) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (/.f64 (*.f64 1/2 x) y)) |
(cos.f64 (*.f64 (/.f64 1/2 y) x)) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (/.f64 (*.f64 1/2 x) y)) |
(cos.f64 (*.f64 (/.f64 1/2 y) x)) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (/.f64 (*.f64 1/2 x) y)) |
(cos.f64 (*.f64 (/.f64 1/2 y) x)) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1))) |
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1))) |
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) (fma.f64 -1/46080 (pow.f64 (/.f64 x y) 6) 1))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1))) |
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1))) |
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) (fma.f64 -1/46080 (pow.f64 (/.f64 x y) 6) 1))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1))) |
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1))) |
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) (fma.f64 -1/46080 (pow.f64 (/.f64 x y) 6) 1))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (/.f64 (*.f64 1/2 x) y)) |
(cos.f64 (*.f64 (/.f64 1/2 y) x)) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (/.f64 (*.f64 1/2 x) y)) |
(cos.f64 (*.f64 (/.f64 1/2 y) x)) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (/.f64 (*.f64 1/2 x) y)) |
(cos.f64 (*.f64 (/.f64 1/2 y) x)) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (/.f64 (*.f64 1/2 x) y)) |
(cos.f64 (*.f64 (/.f64 1/2 y) x)) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (/.f64 (*.f64 1/2 x) y)) |
(cos.f64 (*.f64 (/.f64 1/2 y) x)) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (/.f64 (*.f64 1/2 x) y)) |
(cos.f64 (*.f64 (/.f64 1/2 y) x)) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (/.f64 (*.f64 1/2 x) y)) |
(cos.f64 (*.f64 (/.f64 1/2 y) x)) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (/.f64 (*.f64 1/2 x) y)) |
(cos.f64 (*.f64 (/.f64 1/2 y) x)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(*.f64 (/.f64 1/2 y) x) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(*.f64 (/.f64 1/2 y) x) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(fma.f64 (/.f64 1/8 y) (/.f64 (*.f64 x x) y) 1) |
(fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))) |
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) |
(fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) |
(fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) 1/8) (fma.f64 (pow.f64 (/.f64 x y) 4) 5/384 1)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(fma.f64 -1 (/.f64 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)))) |
(-.f64 (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)))) (pow.f64 y 6))) |
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 (pow.f64 x 6) -5/3072)) (pow.f64 y 6))) |
(-.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) (/.f64 (*.f64 (pow.f64 x 6) -61/46080) (pow.f64 y 6))) |
(-.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 1) (fma.f64 (pow.f64 (/.f64 x y) 4) -5/384 (/.f64 (*.f64 (pow.f64 x 6) -61/46080) (pow.f64 y 6)))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(fma.f64 (/.f64 1/8 y) (/.f64 (*.f64 x x) y) 1) |
(fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))) |
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) |
(fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) |
(fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) 1/8) (fma.f64 (pow.f64 (/.f64 x y) 4) 5/384 1)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(fma.f64 -1 (/.f64 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (pow.f64 y 6)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)))) |
(-.f64 (-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)))) (pow.f64 y 6))) |
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) (/.f64 (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 (pow.f64 x 6) -5/3072)) (pow.f64 y 6))) |
(-.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) (/.f64 (*.f64 (pow.f64 x 6) -61/46080) (pow.f64 y 6))) |
(-.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 1) (fma.f64 (pow.f64 (/.f64 x y) 4) -5/384 (/.f64 (*.f64 (pow.f64 x 6) -61/46080) (pow.f64 y 6)))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(fma.f64 (/.f64 1/8 y) (/.f64 (*.f64 x x) y) 1) |
(fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 1) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -5/384) (pow.f64 y 4)) (+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))) |
(-.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -5/384))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) |
(fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) |
(fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) 1/8) (fma.f64 (pow.f64 (/.f64 x y) 4) 5/384 1)) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080)))) |
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080 (*.f64 (/.f64 1/8 y) (/.f64 (*.f64 x x) y))))) |
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (/.f64 (*.f64 (pow.f64 x 6) 61/46080) (pow.f64 y 6))))) |
(+.f64 1 (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (*.f64 (pow.f64 x 6) (/.f64 61/46080 (pow.f64 y 6)))))) |
(+.f64 1 (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) 1/8) (fma.f64 (pow.f64 (/.f64 x y) 4) 5/384 (*.f64 (pow.f64 (/.f64 x y) 6) 61/46080)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 x (/.f64 1/2 y)) |
| ✓ | 0.6b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
| ✓ | 0.8b | (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
| ✓ | 26.1b | (cos.f64 (*.f64 x (/.f64 1/2 y))) |
Compiled 47 to 34 computations (27.7% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
| 1.0ms | x | @ | 0 | (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
| 0.0ms | y | @ | -inf | (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
| 0.0ms | x | @ | inf | (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
| 0.0ms | x | @ | 0 | (cos.f64 (*.f64 x (/.f64 1/2 y))) |
| 1× | batch-egg-rewrite |
| 939× | pow1_binary64 |
| 867× | expm1-log1p-u_binary64 |
| 866× | add-log-exp_binary64 |
| 866× | log1p-expm1-u_binary64 |
| 848× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 42 |
| 1 | 208 | 42 |
| 2 | 2403 | 42 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 (*.f64 x (/.f64 1/2 y))) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(*.f64 x (/.f64 1/2 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 2) (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (sqrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3) 1) (+.f64 (*.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) (+.f64 1 (*.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 1) (+.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1/2 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 1/2 y)))))))) |
| 1× | egg-herbie |
| 525× | fma-def_binary64 |
| 460× | cancel-sign-sub-inv_binary64 |
| 398× | fma-neg_binary64 |
| 293× | times-frac_binary64 |
| 285× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 1594 |
| 1 | 321 | 1552 |
| 2 | 1069 | 1468 |
| 3 | 4930 | 1446 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(-.f64 (E.f64) 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (E.f64)) 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (*.f64 1/48 (/.f64 (*.f64 (E.f64) (pow.f64 x 4)) (pow.f64 y 4))))) 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 151/46080 (/.f64 (*.f64 (E.f64) (pow.f64 x 6)) (pow.f64 y 6))) (+.f64 (E.f64) (*.f64 1/48 (/.f64 (*.f64 (E.f64) (pow.f64 x 4)) (pow.f64 y 4)))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (E.f64) 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (E.f64)) 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)))) 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/46080 (pow.f64 x 6))))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2)))))) (pow.f64 y 6))))) 1) |
(-.f64 (E.f64) 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (E.f64)) 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)))) 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/46080 (pow.f64 x 6))))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2)))))) (pow.f64 y 6))))) 1) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1))) |
(-.f64 (E.f64) 1) |
(+.f64 (E.f64) -1) |
(expm1.f64 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (E.f64)) 1) |
(+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) -1) |
(fma.f64 1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (expm1.f64 1)) |
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (expm1.f64 1)) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (*.f64 1/48 (/.f64 (*.f64 (E.f64) (pow.f64 x 4)) (pow.f64 y 4))))) 1) |
(+.f64 (+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) (/.f64 (*.f64 1/48 (*.f64 (pow.f64 x 4) (E.f64))) (pow.f64 y 4))) -1) |
(+.f64 (fma.f64 1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (fma.f64 1/48 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (pow.f64 x 4)) (E.f64))) -1) |
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 1/48 (/.f64 (*.f64 (pow.f64 x 4) (E.f64)) (pow.f64 y 4)) (expm1.f64 1))) |
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 1/48 (*.f64 (pow.f64 x 4) (/.f64 (E.f64) (pow.f64 y 4))) (expm1.f64 1))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 151/46080 (/.f64 (*.f64 (E.f64) (pow.f64 x 6)) (pow.f64 y 6))) (+.f64 (E.f64) (*.f64 1/48 (/.f64 (*.f64 (E.f64) (pow.f64 x 4)) (pow.f64 y 4)))))) 1) |
(+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 151/46080 (/.f64 (E.f64) (/.f64 (pow.f64 y 6) (pow.f64 x 6))) (+.f64 (E.f64) (/.f64 (*.f64 1/48 (*.f64 (pow.f64 x 4) (E.f64))) (pow.f64 y 4))))) -1) |
(+.f64 (fma.f64 1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (fma.f64 151/46080 (*.f64 (/.f64 (E.f64) (pow.f64 y 6)) (pow.f64 x 6)) (fma.f64 1/48 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (pow.f64 x 4)) (E.f64)))) -1) |
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 151/46080 (*.f64 (pow.f64 x 6) (/.f64 (E.f64) (pow.f64 y 6))) (fma.f64 1/48 (/.f64 (*.f64 (pow.f64 x 4) (E.f64)) (pow.f64 y 4)) (expm1.f64 1)))) |
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 151/46080 (*.f64 (pow.f64 x 6) (/.f64 (E.f64) (pow.f64 y 6))) (fma.f64 1/48 (*.f64 (pow.f64 x 4) (/.f64 (E.f64) (pow.f64 y 4))) (expm1.f64 1)))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(-.f64 (E.f64) 1) |
(+.f64 (E.f64) -1) |
(expm1.f64 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (E.f64)) 1) |
(+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) -1) |
(fma.f64 1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (expm1.f64 1)) |
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (expm1.f64 1)) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)))) 1) |
(+.f64 (+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) (/.f64 (*.f64 1/48 (*.f64 (pow.f64 x 4) (E.f64))) (pow.f64 y 4))) -1) |
(+.f64 (fma.f64 1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (fma.f64 1/48 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (pow.f64 x 4)) (E.f64))) -1) |
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 1/48 (/.f64 (*.f64 (pow.f64 x 4) (E.f64)) (pow.f64 y 4)) (expm1.f64 1))) |
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 1/48 (*.f64 (pow.f64 x 4) (/.f64 (E.f64) (pow.f64 y 4))) (expm1.f64 1))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/46080 (pow.f64 x 6))))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2)))))) (pow.f64 y 6))))) 1) |
(+.f64 (+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) (+.f64 (/.f64 (E.f64) (/.f64 (pow.f64 y 4) (fma.f64 1/128 (pow.f64 x 4) (neg.f64 (*.f64 (pow.f64 x 4) -5/384))))) (/.f64 (E.f64) (/.f64 (pow.f64 y 6) (fma.f64 -1 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (fma.f64 1/3072 (pow.f64 x 6) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384))))))))) -1) |
(fma.f64 1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (+.f64 (+.f64 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (fma.f64 (pow.f64 x 4) 1/128 (*.f64 (pow.f64 x 4) 5/384))) (*.f64 (/.f64 (E.f64) (pow.f64 y 6)) (-.f64 (fma.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 1/3072)) (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 (*.f64 x x) (*.f64 1/8 (*.f64 (pow.f64 x 4) -5/384))))))) (expm1.f64 1))) |
(+.f64 (expm1.f64 1) (fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 (/.f64 (E.f64) (pow.f64 y 6)) (+.f64 (*.f64 (pow.f64 x 6) 5/3072) (+.f64 (*.f64 (pow.f64 x 6) 5/3072) (*.f64 (pow.f64 x 6) 1/46080))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 x 4) (E.f64)) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (expm1.f64 1)) (*.f64 (E.f64) (+.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/48) (pow.f64 y 4)) (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 5/1536) (*.f64 (pow.f64 x 6) 1/46080)) (pow.f64 y 6))))) |
(-.f64 (E.f64) 1) |
(+.f64 (E.f64) -1) |
(expm1.f64 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (E.f64)) 1) |
(+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) -1) |
(fma.f64 1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (expm1.f64 1)) |
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (expm1.f64 1)) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)))) 1) |
(+.f64 (+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) (/.f64 (*.f64 1/48 (*.f64 (pow.f64 x 4) (E.f64))) (pow.f64 y 4))) -1) |
(+.f64 (fma.f64 1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (fma.f64 1/48 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (pow.f64 x 4)) (E.f64))) -1) |
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 1/48 (/.f64 (*.f64 (pow.f64 x 4) (E.f64)) (pow.f64 y 4)) (expm1.f64 1))) |
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 1/48 (*.f64 (pow.f64 x 4) (/.f64 (E.f64) (pow.f64 y 4))) (expm1.f64 1))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/46080 (pow.f64 x 6))))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2)))))) (pow.f64 y 6))))) 1) |
(+.f64 (+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) (+.f64 (/.f64 (E.f64) (/.f64 (pow.f64 y 4) (fma.f64 1/128 (pow.f64 x 4) (neg.f64 (*.f64 (pow.f64 x 4) -5/384))))) (/.f64 (E.f64) (/.f64 (pow.f64 y 6) (fma.f64 -1 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (fma.f64 1/3072 (pow.f64 x 6) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384))))))))) -1) |
(fma.f64 1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (+.f64 (+.f64 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (fma.f64 (pow.f64 x 4) 1/128 (*.f64 (pow.f64 x 4) 5/384))) (*.f64 (/.f64 (E.f64) (pow.f64 y 6)) (-.f64 (fma.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 1/3072)) (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 (*.f64 x x) (*.f64 1/8 (*.f64 (pow.f64 x 4) -5/384))))))) (expm1.f64 1))) |
(+.f64 (expm1.f64 1) (fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 (/.f64 (E.f64) (pow.f64 y 6)) (+.f64 (*.f64 (pow.f64 x 6) 5/3072) (+.f64 (*.f64 (pow.f64 x 6) 5/3072) (*.f64 (pow.f64 x 6) 1/46080))) (*.f64 1/48 (/.f64 (*.f64 (pow.f64 x 4) (E.f64)) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (expm1.f64 1)) (*.f64 (E.f64) (+.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/48) (pow.f64 y 4)) (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 5/1536) (*.f64 (pow.f64 x 6) 1/46080)) (pow.f64 y 6))))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))) |
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384))) |
(fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 61/46080 (pow.f64 x 6)) (pow.f64 y 6))))) |
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (/.f64 (*.f64 (pow.f64 x 6) 61/46080) (pow.f64 y 6))))) |
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080)))) |
(+.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))) |
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384))) |
(fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 61/46080 (pow.f64 x 6)) (pow.f64 y 6))))) |
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (/.f64 (*.f64 (pow.f64 x 6) 61/46080) (pow.f64 y 6))))) |
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080)))) |
(+.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8)) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8))) |
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384))) |
(fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 1)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 61/46080 (pow.f64 x 6)) (pow.f64 y 6))))) |
(+.f64 1 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (/.f64 (*.f64 (pow.f64 x 6) 61/46080) (pow.f64 y 6))))) |
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080)))) |
(+.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 5/384 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 61/46080))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 7.2b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| ✓ | 8.6b | (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) |
| ✓ | 26.5b | (tan.f64 (*.f64 x (/.f64 1/2 y))) |
| 26.5b | (sin.f64 (/.f64 x (*.f64 y 2))) |
Compiled 67 to 47 computations (29.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 1.0ms | y | @ | inf | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 1.0ms | y | @ | -inf | (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) |
| 1.0ms | y | @ | inf | (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) |
| 1.0ms | y | @ | inf | (tan.f64 (*.f64 x (/.f64 1/2 y))) |
| 1× | batch-egg-rewrite |
| 669× | log-prod_binary64 |
| 333× | pow2_binary64 |
| 236× | pow1/3_binary64 |
| 232× | expm1-udef_binary64 |
| 232× | log1p-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 38 |
| 1 | 307 | 38 |
| 2 | 3823 | 30 |
| 1× | node limit |
| Inputs |
|---|
(tan.f64 (*.f64 x (/.f64 1/2 y))) |
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) |
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (/.f64 1 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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(cos.f64 (*.f64 1/2 (/.f64 x y))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)))))) |
| 1× | egg-herbie |
| 550× | cancel-sign-sub-inv_binary64 |
| 319× | associate-*l/_binary64 |
| 305× | distribute-rgt-in_binary64 |
| 296× | fma-neg_binary64 |
| 271× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 234 | 3022 |
| 1 | 775 | 2914 |
| 2 | 3276 | 2738 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 1/2 (/.f64 x y)))) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 1/2 (/.f64 x y)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))) |
(-.f64 (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (pow.f64 x 2)) (pow.f64 y 7))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/384 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 4)) (pow.f64 y 7))) (*.f64 -1/92160 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 x 2))) (+.f64 (*.f64 1/92160 (pow.f64 x 7)) (*.f64 1/384 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 4)))))) (pow.f64 y 7))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 1/2 (/.f64 x y)))) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(*.f64 1/2 (/.f64 x y)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))) |
(-.f64 (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2)) (pow.f64 y 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (pow.f64 x 2)) (pow.f64 y 7))) (+.f64 (*.f64 1/768 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/384 (/.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 4)) (pow.f64 y 7))) (*.f64 -1/92160 (/.f64 (pow.f64 x 7) (pow.f64 y 7))))))))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 y 5))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 x 2))) (+.f64 (*.f64 1/92160 (pow.f64 x 7)) (*.f64 1/384 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 4)))))) (pow.f64 y 7))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
1 |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x)))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (*.f64 (pow.f64 y 4) x))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/645120 (pow.f64 x 7)) (+.f64 (*.f64 1/384 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 4))) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (pow.f64 x 2))) (*.f64 -1/92160 (pow.f64 x 7))))) (*.f64 (pow.f64 y 6) x))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (*.f64 (pow.f64 y 4) x)))))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) x)) (+.f64 (*.f64 1/1920 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2))))) (pow.f64 x 2)) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 4)) (pow.f64 y 6))) (+.f64 (*.f64 -1/322560 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))))) |
1 |
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x)))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (*.f64 (pow.f64 y 4) x))))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (*.f64 (pow.f64 y 4) x))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (*.f64 -2 (/.f64 (-.f64 (*.f64 1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 x 2))) (+.f64 (*.f64 1/92160 (pow.f64 x 7)) (*.f64 1/384 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 4)))))) (*.f64 (pow.f64 y 6) x)))))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) x)) (+.f64 (*.f64 -1/24 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2))) (*.f64 1/1920 (pow.f64 x 4)))) (pow.f64 x 2)) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 4)) (pow.f64 y 6))) (+.f64 (*.f64 -1/322560 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 x y)) |
(/.f64 (*.f64 1/2 x) y) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/2 (/.f64 x y))) |
(fma.f64 1/24 (pow.f64 (/.f64 x y) 3) (/.f64 (*.f64 1/2 x) y)) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (*.f64 1/2 (/.f64 x y)))) |
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 1/2 (/.f64 x y)))) |
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 x y) (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 1/24 (pow.f64 (/.f64 x y) 3) (fma.f64 1/2 (/.f64 x y) (/.f64 (*.f64 1/240 (pow.f64 x 5)) (pow.f64 y 5)))) |
(+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5))) (+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 1/2 (/.f64 x y) (*.f64 17/40320 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(fma.f64 1/24 (pow.f64 (/.f64 x y) 3) (fma.f64 1/240 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (fma.f64 1/2 (/.f64 x y) (/.f64 17/40320 (/.f64 (pow.f64 y 7) (pow.f64 x 7)))))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 (sin.f64 (/.f64 (*.f64 1/2 x) y)) (cos.f64 (/.f64 (*.f64 1/2 x) y))) |
(/.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
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(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 (fma.f64 (pow.f64 x 5) 1/960 (*.f64 -1/8 (*.f64 (pow.f64 x 3) (*.f64 1/24 (*.f64 x x))))) (*.f64 x (pow.f64 y 4))) (*.f64 (/.f64 -2 x) (+.f64 (*.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) -1/24) (/.f64 (-.f64 (fma.f64 (pow.f64 x 7) 1/645120 (*.f64 (*.f64 x x) (*.f64 (fma.f64 (pow.f64 x 5) 1/960 (*.f64 -1/8 (*.f64 (pow.f64 x 3) (*.f64 1/24 (*.f64 x x))))) 1/8))) (fma.f64 (pow.f64 x 7) 1/92160 (*.f64 1/384 (*.f64 (pow.f64 x 3) (*.f64 -1/24 (pow.f64 x 4)))))) (pow.f64 y 6))))) (fma.f64 -1/24 (*.f64 (/.f64 (*.f64 x x) (pow.f64 y 6)) (+.f64 (fma.f64 -2 (/.f64 (fma.f64 (pow.f64 x 5) 1/960 (*.f64 -1/8 (*.f64 (pow.f64 x 3) (*.f64 1/24 (*.f64 x x))))) x) (*.f64 (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 1/24 (*.f64 x x))) (*.f64 1/24 (*.f64 x x)))) (*.f64 (pow.f64 x 4) -1/1920))) (fma.f64 1/1920 (*.f64 (/.f64 (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 1/24 (*.f64 x x))) (pow.f64 y 6)) (pow.f64 x 4)) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -1/322560 (fma.f64 -1/24 (*.f64 (+.f64 1 (/.f64 (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 1/24 (*.f64 x x))) (*.f64 y y))) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) 1/1920)))))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.0b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3))) |
| ✓ | 7.9b | (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
| ✓ | 26.4b | (sin.f64 (*.f64 x (/.f64 1/2 y))) |
| 26.6b | (tan.f64 (/.f64 x (*.f64 y 2))) |
Compiled 89 to 65 computations (27% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
| 4.0ms | y | @ | 0 | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3))) |
| 3.0ms | x | @ | -inf | (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
| 3.0ms | y | @ | 0 | (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
| 1.0ms | x | @ | 0 | (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
| 1× | batch-egg-rewrite |
| 778× | log-prod_binary64 |
| 277× | pow1/3_binary64 |
| 276× | expm1-udef_binary64 |
| 276× | log1p-udef_binary64 |
| 251× | pow3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 45 |
| 1 | 357 | 40 |
| 2 | 4614 | 40 |
| 1× | node limit |
| Inputs |
|---|
(sin.f64 (*.f64 x (/.f64 1/2 y))) |
(cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 3))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))) (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2)) (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))) (sqrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2)) 1) (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2)))) (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2)) (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 1/6)) (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))) (sqrt.f64 (log.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))) 2))) (cbrt.f64 (log.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sin.f64 (/.f64 x (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))) (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 1/6) (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) (sqrt.f64 (log.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))) 2))) (cbrt.f64 (log.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))) 1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y))))) (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (/.f64 1 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(tan.f64 (/.f64 (*.f64 x 1/2) y)) 3) (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))) 1)))))) |
| 1× | egg-herbie |
| 920× | associate-/r*_binary64 |
| 917× | associate-/l*_binary64 |
| 395× | cancel-sign-sub-inv_binary64 |
| 274× | distribute-rgt-in_binary64 |
| 250× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 193 | 1838 |
| 1 | 620 | 1782 |
| 2 | 2526 | 1689 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
1 |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x)))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (*.f64 (pow.f64 y 4) x))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/645120 (pow.f64 x 7)) (+.f64 (*.f64 1/384 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 4))) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (pow.f64 x 2))) (*.f64 -1/92160 (pow.f64 x 7))))) (*.f64 (pow.f64 y 6) x))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (*.f64 (pow.f64 y 4) x)))))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) x)) (+.f64 (*.f64 1/1920 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2))))) (pow.f64 x 2)) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 4)) (pow.f64 y 6))) (+.f64 (*.f64 -1/322560 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))))) |
1 |
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x)))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (*.f64 (pow.f64 y 4) x))))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (*.f64 (pow.f64 y 4) x))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (*.f64 -2 (/.f64 (-.f64 (*.f64 1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 x 2))) (+.f64 (*.f64 1/92160 (pow.f64 x 7)) (*.f64 1/384 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 4)))))) (*.f64 (pow.f64 y 6) x)))))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) x)) (+.f64 (*.f64 -1/24 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2))) (*.f64 1/1920 (pow.f64 x 4)))) (pow.f64 x 2)) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 4)) (pow.f64 y 6))) (+.f64 (*.f64 -1/322560 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 1/2 (/.f64 x y))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 (*.f64 1/3840 (pow.f64 x 5)) (pow.f64 y 5)))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (/.f64 (*.f64 -1/645120 (pow.f64 x 7)) (pow.f64 y 7))))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 1/2 (/.f64 x y))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 (*.f64 1/3840 (pow.f64 x 5)) (pow.f64 y 5)))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (/.f64 (*.f64 -1/645120 (pow.f64 x 7)) (pow.f64 y 7))))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 1/2 (/.f64 x y))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 (*.f64 1/3840 (pow.f64 x 5)) (pow.f64 y 5)))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (/.f64 (*.f64 -1/645120 (pow.f64 x 7)) (pow.f64 y 7))))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
(pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1/3) |
(cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)))) |
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y))))) |
(+.f64 1 (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 (/.f64 1/8 y) (/.f64 (*.f64 x x) y)))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 61/46080 (pow.f64 x 6)) (pow.f64 y 6))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
1 |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x)))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (-.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 x 3) 1/24) (*.f64 x (*.f64 y y)))) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/24))) |
(+.f64 1 (fma.f64 2 (/.f64 (/.f64 (pow.f64 x 3) (/.f64 x 1/24)) (*.f64 y y)) (/.f64 (*.f64 (*.f64 x x) 1/24) (*.f64 y y)))) |
(+.f64 1 (/.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 x 3) x) 1/24) (*.f64 (*.f64 x x) 1/24)) (*.f64 y y))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (*.f64 (pow.f64 y 4) x))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(-.f64 (+.f64 1 (*.f64 2 (+.f64 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (fma.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) 1/24)) (*.f64 (pow.f64 x 5) 1/768))) (*.f64 x (pow.f64 y 4))) (/.f64 (*.f64 (pow.f64 x 3) 1/24) (*.f64 x (*.f64 y y)))))) (fma.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/24 (+.f64 (/.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 x 3) 1/24) x)) (*.f64 1/24 (*.f64 x x))) (/.f64 (pow.f64 y 4) (*.f64 x x))) (/.f64 (*.f64 x x) (*.f64 y y)))))) |
(-.f64 (fma.f64 2 (+.f64 (/.f64 (/.f64 (pow.f64 x 3) (/.f64 x 1/24)) (*.f64 y y)) (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (fma.f64 -1/8 (*.f64 (pow.f64 x 3) (*.f64 (*.f64 x x) 1/24)) (*.f64 (pow.f64 x 5) 1/768))) (*.f64 x (pow.f64 y 4)))) 1) (fma.f64 -1/24 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 (fma.f64 2 (/.f64 (pow.f64 x 3) (/.f64 x 1/24)) (*.f64 (*.f64 x x) 1/24)) (pow.f64 y 4)) (*.f64 x x))) (/.f64 (*.f64 (pow.f64 x 4) 1/1920) (pow.f64 y 4)))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 2 x) (+.f64 (*.f64 (/.f64 (pow.f64 x 3) (*.f64 y y)) 1/24) (/.f64 (+.f64 (*.f64 (pow.f64 x 5) -1/960) (*.f64 1/8 (*.f64 (pow.f64 x 3) (*.f64 (*.f64 x x) 1/24)))) (pow.f64 y 4)))) (fma.f64 -1/24 (*.f64 (+.f64 1 (/.f64 (fma.f64 2 (*.f64 (/.f64 (pow.f64 x 3) x) 1/24) (*.f64 (*.f64 x x) 1/24)) (*.f64 y y))) (*.f64 (/.f64 x y) (/.f64 x y))) (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/1920)))) |
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(-.f64 (+.f64 1 (fma.f64 -2 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24))))) (*.f64 x (pow.f64 y 4))) (*.f64 -2 (+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x 3) -1/24) (*.f64 y y)) x) (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24)))))) (fma.f64 1/92160 (pow.f64 x 7) (*.f64 1/384 (*.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 3) -1/24)))))) (*.f64 x (pow.f64 y 6))))))) (fma.f64 -1/24 (/.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24))))) x)) (fma.f64 -1/24 (*.f64 (*.f64 x x) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 x 3) -1/24) x)) (*.f64 1/24 (*.f64 x x)))) (*.f64 (pow.f64 x 4) 1/1920))) (/.f64 (pow.f64 y 6) (*.f64 x x))) (fma.f64 1/1920 (/.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 x 3) -1/24) x)) (*.f64 1/24 (*.f64 x x))) (/.f64 (pow.f64 y 6) (pow.f64 x 4))) (fma.f64 -1/322560 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/24 (+.f64 (/.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 x 3) -1/24) x)) (*.f64 1/24 (*.f64 x x))) (/.f64 (pow.f64 y 4) (*.f64 x x))) (/.f64 (*.f64 x x) (*.f64 y y))))))))) |
(-.f64 (+.f64 1 (*.f64 -2 (+.f64 (+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 x 3) y) (/.f64 -1/24 y)) x) (/.f64 (-.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 (pow.f64 x 3) -1/24))) (*.f64 x (pow.f64 y 4)))) (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (*.f64 x (*.f64 x (-.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 (pow.f64 x 3) -1/24))))) (fma.f64 (pow.f64 x 7) 1/92160 (*.f64 (pow.f64 x 4) (*.f64 1/384 (*.f64 (pow.f64 x 3) -1/24)))))) (*.f64 x (pow.f64 y 6)))))) (fma.f64 -1/24 (*.f64 (/.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 (*.f64 -1/8 (*.f64 x x)) (*.f64 (pow.f64 x 3) -1/24))) x)) (fma.f64 (pow.f64 x 4) 1/1920 (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 (*.f64 x x) 1/24))))) (pow.f64 y 6)) (*.f64 x x)) (fma.f64 1/1920 (*.f64 (/.f64 (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 (*.f64 x x) 1/24)) (pow.f64 y 6)) (pow.f64 x 4)) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -1/322560 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/1920 (*.f64 -1/24 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 (*.f64 x x) 1/24)) (pow.f64 y 4)) (*.f64 x x))))))))) |
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 (fma.f64 (pow.f64 x 5) 1/960 (*.f64 1/8 (*.f64 (pow.f64 x 3) (*.f64 (*.f64 x x) -1/24)))) (*.f64 x (pow.f64 y 4))) (*.f64 (/.f64 -2 x) (+.f64 (*.f64 (/.f64 (pow.f64 x 3) y) (/.f64 -1/24 y)) (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (*.f64 x (*.f64 x (fma.f64 (pow.f64 x 5) 1/960 (*.f64 1/8 (*.f64 (pow.f64 x 3) (*.f64 (*.f64 x x) -1/24)))))) (fma.f64 (pow.f64 x 7) 1/92160 (*.f64 (pow.f64 x 4) (*.f64 (*.f64 (pow.f64 x 3) 1/24) -1/384))))) (pow.f64 y 6))))) (fma.f64 -1/24 (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 -2 x) (fma.f64 (pow.f64 x 5) 1/960 (*.f64 1/8 (*.f64 (pow.f64 x 3) (*.f64 (*.f64 x x) -1/24))))) (fma.f64 (pow.f64 x 4) 1/1920 (*.f64 (*.f64 (*.f64 x x) -1/24) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 x 3) x) -1/24) (*.f64 (*.f64 x x) 1/24))))) (pow.f64 y 6)) (*.f64 x x)) (fma.f64 1/1920 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 6)) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 x 3) x) -1/24) (*.f64 (*.f64 x x) 1/24))) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -1/322560 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/1920 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 -1/24 (/.f64 -1/24 (/.f64 (*.f64 y y) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 x 3) x) -1/24) (*.f64 (*.f64 x x) 1/24)))))))))))) |
Compiled 15184 to 11416 computations (24.8% saved)
78 alts after pruning (76 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 545 | 59 | 604 |
| Fresh | 21 | 17 | 38 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 2 | 4 |
| Total | 569 | 78 | 647 |
| Status | Error | Program |
|---|---|---|
| 60.8b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) 3))) | |
| 27.2b | (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 3)) | |
| 60.3b | (/.f64 (sqrt.f64 (pow.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 26.9b | 1 | |
| 29.0b | (/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)) | |
| 28.3b | (exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) | |
| 34.1b | (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 26.4b | (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))) | |
| 34.1b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (*.f64 (/.f64 1/2 y) x))) | |
| 60.3b | (/.f64 (sqrt.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 28.1b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3)))))) | |
| 51.9b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2)))) 3))) | |
| 60.9b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 1)) | |
| 55.7b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))) | |
| 31.0b | (/.f64 1 (fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1)) | |
| ▶ | 26.4b | (/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
| 51.9b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 44.6b | (/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 1/2 x) (sqrt.f64 y)) (sqrt.f64 y)))) | |
| 62.2b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (sin.f64 1))))) 3))) | |
| 26.7b | (log1p.f64 (expm1.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3)))) | |
| 26.4b | (/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))) | |
| 52.9b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) 3))) | |
| 34.1b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 26.7b | (cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3)) | |
| 29.1b | (log1p.f64 (fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (expm1.f64 1))) | |
| 58.4b | (/.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 34.7b | (*.f64 (/.f64 1 (sin.f64 (/.f64 (*.f64 x 1/2) y))) (tan.f64 (/.f64 (*.f64 x 1/2) y))) | |
| ▶ | 26.2b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3))))) |
| 61.1b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 1)))) | |
| 52.0b | (/.f64 (sqrt.f64 (pow.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 26.4b | (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)) | |
| 27.3b | (sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) | |
| 48.2b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) 3))) | |
| 27.4b | (sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) | |
| 27.5b | (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 2) (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) | |
| 26.4b | (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3) | |
| 59.3b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) | |
| 59.3b | (/.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 1) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| ✓ | 26.6b | (/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
| 59.6b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (log.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) 3))) | |
| 59.2b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 59.3b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) | |
| 28.3b | (/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y)))))) | |
| 59.8b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))) (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) 3))) | |
| 26.6b | (-.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1) | |
| 34.5b | (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 28.1b | (/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3)))) | |
| ✓ | 26.4b | (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
| 51.9b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2)))) 3))) | |
| ▶ | 26.5b | (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
| 29.7b | (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) | |
| 44.6b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y)))))) | |
| 58.5b | (/.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 36.8b | (/.f64 (*.f64 (/.f64 1/2 y) x) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 26.4b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))))) | |
| 34.1b | (/.f64 (+.f64 0 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 33.6b | (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))) 3) | |
| 26.7b | (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3)) | |
| 27.9b | (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) | |
| 36.8b | (/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 48.2b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) 3))) | |
| 40.6b | (/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2))) | |
| 52.0b | (/.f64 (sqrt.f64 (pow.f64 (neg.f64 (tan.f64 (/.f64 x (*.f64 y -2)))) 2)) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 27.0b | (log1p.f64 (log.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) | |
| 26.7b | (log1p.f64 (expm1.f64 (/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) | |
| ▶ | 51.9b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (*.f64 (/.f64 1/2 y) x))) |
| 26.4b | (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3))) | |
| 28.3b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y)))))))) | |
| 26.4b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) | |
| 48.2b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))) 3)) 3))) | |
| ▶ | 44.1b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2))) |
| 34.9b | (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3))) | |
| 26.4b | (/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) | |
| 26.6b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))) | |
| 60.9b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 26.4b | (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -3)) | |
| 43.1b | (*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) | |
| 26.4b | (/.f64 1 (-.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)) |
Compiled 2781 to 2231 computations (19.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3))))) |
| ✓ | 0.8b | (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)))) |
| ✓ | 14.4b | (cbrt.f64 (*.f64 x (/.f64 1/2 y))) |
| ✓ | 26.1b | (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)) |
Compiled 74 to 57 computations (23% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)) |
| 4.0ms | y | @ | -inf | (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)) |
| 3.0ms | x | @ | -inf | (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)) |
| 1.0ms | x | @ | inf | (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)) |
| 1.0ms | x | @ | -inf | (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)))) |
| 1× | batch-egg-rewrite |
| 885× | prod-diff_binary64 |
| 518× | log-prod_binary64 |
| 296× | pow-prod-down_binary64 |
| 289× | pow2_binary64 |
| 204× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 44 |
| 1 | 278 | 44 |
| 2 | 2923 | 44 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)) |
(cbrt.f64 (*.f64 x (/.f64 1/2 y))) |
(expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 2) (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 2) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 y)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 1/6) (pow.f64 (/.f64 (*.f64 x 1/2) y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (*.f64 x 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 1/2) y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 x 1/2) y)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x 1/2) y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 2) (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) (sqrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 3) 1) (+.f64 (pow.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2) (+.f64 1 (*.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2) 1) (+.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 2) (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2) (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2))) (log.f64 (-.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -2)) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -1/2) (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -2) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (neg.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -1/2) (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -2) (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 1)))))) |
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | sub-neg_binary64 |
| 1× | 1-exp_binary64 |
| 1× | e-exp-1_binary64 |
| 1× | expm1-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 63 |
| 1 | 10 | 45 |
| 2 | 12 | 45 |
| 1× | saturated |
| Inputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(-.f64 (E.f64) 1) |
(-.f64 (E.f64) 1) |
(-.f64 (E.f64) 1) |
(-.f64 (E.f64) 1) |
(-.f64 (E.f64) 1) |
(-.f64 (E.f64) 1) |
(-.f64 (E.f64) 1) |
(-.f64 (E.f64) 1) |
(-.f64 (E.f64) 1) |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
| Outputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(-.f64 (E.f64) 1) |
(+.f64 (E.f64) -1) |
(expm1.f64 1) |
(-.f64 (E.f64) 1) |
(+.f64 (E.f64) -1) |
(expm1.f64 1) |
(-.f64 (E.f64) 1) |
(+.f64 (E.f64) -1) |
(expm1.f64 1) |
(-.f64 (E.f64) 1) |
(+.f64 (E.f64) -1) |
(expm1.f64 1) |
(-.f64 (E.f64) 1) |
(+.f64 (E.f64) -1) |
(expm1.f64 1) |
(-.f64 (E.f64) 1) |
(+.f64 (E.f64) -1) |
(expm1.f64 1) |
(-.f64 (E.f64) 1) |
(+.f64 (E.f64) -1) |
(expm1.f64 1) |
(-.f64 (E.f64) 1) |
(+.f64 (E.f64) -1) |
(expm1.f64 1) |
(-.f64 (E.f64) 1) |
(+.f64 (E.f64) -1) |
(expm1.f64 1) |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
| ✓ | 0.5b | (/.f64 1/2 (/.f64 y x)) |
| ✓ | 26.2b | (cos.f64 (/.f64 1/2 (/.f64 y x))) |
Compiled 28 to 15 computations (46.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (cos.f64 (/.f64 1/2 (/.f64 y x))) |
| 0.0ms | y | @ | -inf | (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
| 0.0ms | y | @ | inf | (cos.f64 (/.f64 1/2 (/.f64 y x))) |
| 0.0ms | y | @ | inf | (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
| 0.0ms | y | @ | -inf | (cos.f64 (/.f64 1/2 (/.f64 y x))) |
| 1× | batch-egg-rewrite |
| 941× | pow1_binary64 |
| 872× | add-log-exp_binary64 |
| 872× | log1p-expm1-u_binary64 |
| 872× | expm1-log1p-u_binary64 |
| 854× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 192 | 28 |
| 2 | 2408 | 28 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 (/.f64 1/2 (/.f64 y x))) |
(/.f64 1/2 (/.f64 y x)) |
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 1/2 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))))) |
| 1× | egg-herbie |
| 797× | fma-neg_binary64 |
| 488× | associate-*l/_binary64 |
| 478× | unswap-sqr_binary64 |
| 333× | associate-*r/_binary64 |
| 301× | *-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 995 |
| 1 | 165 | 966 |
| 2 | 487 | 932 |
| 3 | 2123 | 918 |
| 4 | 5947 | 870 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
| Outputs |
|---|
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (/.f64 (*.f64 1/2 x) y)) |
(cos.f64 (*.f64 (/.f64 1/2 y) x)) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (/.f64 (*.f64 1/2 x) y)) |
(cos.f64 (*.f64 (/.f64 1/2 y) x)) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (/.f64 (*.f64 1/2 x) y)) |
(cos.f64 (*.f64 (/.f64 1/2 y) x)) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (/.f64 (*.f64 1/2 x) y)) |
(cos.f64 (*.f64 (/.f64 1/2 y) x)) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1))) |
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) 1))) |
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) (fma.f64 -1/46080 (pow.f64 (/.f64 x y) 6) 1))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) (fma.f64 1/384 (pow.f64 (/.f64 x y) 4) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
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(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
| ✓ | 0.1b | (/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
| ✓ | 0.3b | (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
| 26.1b | (cos.f64 (*.f64 1/2 (/.f64 x y))) |
Compiled 45 to 26 computations (42.2% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
| 1.0ms | y | @ | inf | (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
| 1.0ms | x | @ | 0 | (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
| 0.0ms | y | @ | -inf | (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
| 0.0ms | y | @ | inf | (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
| 1× | batch-egg-rewrite |
| 964× | pow1_binary64 |
| 889× | add-log-exp_binary64 |
| 889× | log1p-expm1-u_binary64 |
| 889× | expm1-log1p-u_binary64 |
| 99× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 32 |
| 1 | 208 | 32 |
| 2 | 2433 | 32 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (/.f64 1/2 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 2)) (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 2)) (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (/.f64 1/2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -1/2) (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 2)) -1) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) -1) (pow.f64 (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) 2) (cbrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) (sqrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (cos.f64 (/.f64 1/2 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) (sqrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 2))) (cbrt.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))))) |
| 1× | egg-herbie |
| 751× | fma-neg_binary64 |
| 533× | associate-/l/_binary64 |
| 362× | associate-/r/_binary64 |
| 335× | unswap-sqr_binary64 |
| 315× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 1148 |
| 1 | 244 | 1128 |
| 2 | 765 | 1094 |
| 3 | 3331 | 1071 |
| 4 | 6466 | 996 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/3072 (pow.f64 x 6)))) (pow.f64 y 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 y 4))) (+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(exp.f64 1) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (exp.f64 1)) |
(+.f64 (*.f64 1/96 (/.f64 (*.f64 (pow.f64 x 4) (exp.f64 1)) (pow.f64 y 4))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (exp.f64 1))) |
(+.f64 (*.f64 -31/46080 (/.f64 (*.f64 (pow.f64 x 6) (exp.f64 1)) (pow.f64 y 6))) (+.f64 (*.f64 1/96 (/.f64 (*.f64 (pow.f64 x 4) (exp.f64 1)) (pow.f64 y 4))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (exp.f64 1)))) |
(exp.f64 1) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (exp.f64 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (exp.f64 1)) (pow.f64 y 4)) (exp.f64 1))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 -1/1536 (pow.f64 x 6))) (exp.f64 1)) (pow.f64 y 6)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (exp.f64 1)) (pow.f64 y 4)) (exp.f64 1)))) |
(exp.f64 1) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (exp.f64 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (exp.f64 1)) (pow.f64 y 4)) (exp.f64 1))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 -1/1536 (pow.f64 x 6))) (exp.f64 1)) (pow.f64 y 6)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (exp.f64 1)) (pow.f64 y 4)) (exp.f64 1)))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
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1 |
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1 |
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(fma.f64 (pow.f64 (/.f64 x y) 4) 5/384 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1)) |
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(E.f64) |
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(exp.f64 1) |
(E.f64) |
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(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (E.f64)) |
(*.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (E.f64)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (exp.f64 1)) (pow.f64 y 4)) (exp.f64 1))) |
(fma.f64 1/96 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) (E.f64))) (fma.f64 -1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (E.f64))) |
(fma.f64 1/96 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (E.f64)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (/.f64 y (/.f64 (E.f64) y))) (E.f64))) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 1/96 (/.f64 (*.f64 (pow.f64 x 4) (E.f64)) (pow.f64 y 4)) (E.f64))) |
(fma.f64 1/96 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (E.f64)) (*.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (E.f64))) |
(fma.f64 1/96 (*.f64 (pow.f64 (/.f64 x y) 4) (E.f64)) (*.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (E.f64))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 -1/1536 (pow.f64 x 6))) (exp.f64 1)) (pow.f64 y 6)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (exp.f64 1)) (pow.f64 y 4)) (exp.f64 1)))) |
(fma.f64 -31/46080 (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 y 6) (E.f64))) (fma.f64 1/96 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) (E.f64))) (fma.f64 -1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (E.f64)))) |
(fma.f64 -31/46080 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (E.f64)) (fma.f64 1/96 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (E.f64)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (/.f64 y (/.f64 (E.f64) y))) (E.f64)))) |
(fma.f64 -31/46080 (*.f64 (/.f64 (E.f64) (pow.f64 y 6)) (pow.f64 x 6)) (fma.f64 -1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 1/96 (/.f64 (*.f64 (pow.f64 x 4) (E.f64)) (pow.f64 y 4)) (E.f64)))) |
(+.f64 (*.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (E.f64)) (*.f64 (E.f64) (+.f64 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -31/46080) (*.f64 1/96 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (*.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (E.f64)) (*.f64 (E.f64) (+.f64 (*.f64 1/96 (pow.f64 (/.f64 x y) 4)) (*.f64 -31/46080 (pow.f64 (/.f64 x y) 6))))) |
(exp.f64 1) |
(E.f64) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (exp.f64 1)) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (E.f64)) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (/.f64 y (/.f64 (E.f64) y))) (E.f64)) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (E.f64)) |
(*.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (E.f64)) |
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (exp.f64 1)) (pow.f64 y 4)) (exp.f64 1))) |
(fma.f64 1/96 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) (E.f64))) (fma.f64 -1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (E.f64))) |
(fma.f64 1/96 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (E.f64)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (/.f64 y (/.f64 (E.f64) y))) (E.f64))) |
(fma.f64 -1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 1/96 (/.f64 (*.f64 (pow.f64 x 4) (E.f64)) (pow.f64 y 4)) (E.f64))) |
(fma.f64 1/96 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (E.f64)) (*.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (E.f64))) |
(fma.f64 1/96 (*.f64 (pow.f64 (/.f64 x y) 4) (E.f64)) (*.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (E.f64))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 -1/1536 (pow.f64 x 6))) (exp.f64 1)) (pow.f64 y 6)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 1)) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (exp.f64 1)) (pow.f64 y 4)) (exp.f64 1)))) |
(fma.f64 -31/46080 (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 y 6) (E.f64))) (fma.f64 1/96 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) (E.f64))) (fma.f64 -1/8 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (E.f64))) (E.f64)))) |
(fma.f64 -31/46080 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (E.f64)) (fma.f64 1/96 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (E.f64)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (/.f64 y (/.f64 (E.f64) y))) (E.f64)))) |
(fma.f64 -31/46080 (*.f64 (/.f64 (E.f64) (pow.f64 y 6)) (pow.f64 x 6)) (fma.f64 -1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 1/96 (/.f64 (*.f64 (pow.f64 x 4) (E.f64)) (pow.f64 y 4)) (E.f64)))) |
(+.f64 (*.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (E.f64)) (*.f64 (E.f64) (+.f64 (*.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -31/46080) (*.f64 1/96 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (*.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (E.f64)) (*.f64 (E.f64) (+.f64 (*.f64 1/96 (pow.f64 (/.f64 x y) 4)) (*.f64 -31/46080 (pow.f64 (/.f64 x y) 6))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 7.3b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (*.f64 (/.f64 1/2 y) x))) |
| 8.6b | (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) | |
| ✓ | 26.4b | (sin.f64 (*.f64 (/.f64 1/2 y) x)) |
| 26.5b | (tan.f64 (*.f64 x (/.f64 1/2 y))) |
Compiled 64 to 45 computations (29.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (*.f64 (/.f64 1/2 y) x))) |
| 1.0ms | y | @ | inf | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (*.f64 (/.f64 1/2 y) x))) |
| 1.0ms | y | @ | -inf | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (*.f64 (/.f64 1/2 y) x))) |
| 1.0ms | y | @ | inf | (sin.f64 (*.f64 (/.f64 1/2 y) x)) |
| 0.0ms | y | @ | -inf | (sin.f64 (*.f64 (/.f64 1/2 y) x)) |
| 1× | batch-egg-rewrite |
| 562× | prod-diff_binary64 |
| 546× | log-prod_binary64 |
| 309× | pow-prod-down_binary64 |
| 294× | pow2_binary64 |
| 207× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 29 |
| 1 | 282 | 29 |
| 2 | 2995 | 21 |
| 1× | node limit |
| Inputs |
|---|
(sin.f64 (*.f64 (/.f64 1/2 y) x)) |
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (*.f64 (/.f64 1/2 y) x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (/.f64 1 (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (/.f64 1 (sin.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (/.f64 1 (sin.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (/.f64 1 (neg.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 (*.f64 1/2 (/.f64 x y)))) (tan.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 1) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sin.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) -2) (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y)))) 2)) (/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) -1/2) (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) 2) (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) (neg.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1)))))) |
| 1× | egg-herbie |
| 922× | associate-/r*_binary64 |
| 912× | associate-/l*_binary64 |
| 395× | cancel-sign-sub-inv_binary64 |
| 274× | distribute-rgt-in_binary64 |
| 252× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 1706 |
| 1 | 613 | 1650 |
| 2 | 2517 | 1557 |
| 1× | node limit |
| Inputs |
|---|
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
1 |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x)))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (*.f64 (pow.f64 y 4) x))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/645120 (pow.f64 x 7)) (+.f64 (*.f64 1/384 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 4))) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (pow.f64 x 2))) (*.f64 -1/92160 (pow.f64 x 7))))) (*.f64 (pow.f64 y 6) x))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) (*.f64 (pow.f64 y 4) x)))))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) (pow.f64 x 2))) (*.f64 1/768 (pow.f64 x 5)))) x)) (+.f64 (*.f64 1/1920 (pow.f64 x 4)) (*.f64 -1/24 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2))))) (pow.f64 x 2)) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 4)) (pow.f64 y 6))) (+.f64 (*.f64 -1/322560 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))))) |
1 |
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x)))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (*.f64 (pow.f64 y 4) x))))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (*.f64 (pow.f64 y 4) x))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (*.f64 -2 (/.f64 (-.f64 (*.f64 1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 x 2))) (+.f64 (*.f64 1/92160 (pow.f64 x 7)) (*.f64 1/384 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 4)))))) (*.f64 (pow.f64 y 6) x)))))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) x)) (+.f64 (*.f64 -1/24 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2))) (*.f64 1/1920 (pow.f64 x 4)))) (pow.f64 x 2)) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 4)) (pow.f64 y 6))) (+.f64 (*.f64 -1/322560 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))))) |
| Outputs |
|---|
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (/.f64 1/2 (/.f64 y x))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (/.f64 1/2 (/.f64 y x))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (/.f64 1/2 (/.f64 y x))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (/.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 1/2 (/.f64 y x))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (/.f64 (*.f64 -1/645120 (pow.f64 x 7)) (pow.f64 y 7))))) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 1/2 (/.f64 y x))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (/.f64 (*.f64 -1/645120 (pow.f64 x 7)) (pow.f64 y 7))))) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (/.f64 1/2 (/.f64 y x))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (/.f64 (*.f64 -1/645120 (pow.f64 x 7)) (pow.f64 y 7))))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (/.f64 1/2 (/.f64 y x))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (/.f64 1/2 (/.f64 y x))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (/.f64 1/2 (/.f64 y x))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (/.f64 1/2 (/.f64 y x))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (/.f64 1/2 (/.f64 y x))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (/.f64 1/2 (/.f64 y x))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (/.f64 1/2 (/.f64 y x))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (/.f64 1/2 (/.f64 y x))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)))) |
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y))))) |
(+.f64 1 (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (*.f64 (/.f64 5/384 (pow.f64 y 4)) (pow.f64 x 4))) |
(+.f64 1 (+.f64 (*.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
(+.f64 1 (fma.f64 5/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 61/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))))) |
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(+.f64 1 (-.f64 (*.f64 (/.f64 -2 x) (+.f64 (/.f64 (pow.f64 x 3) (/.f64 (*.f64 y y) -1/24)) (/.f64 (fma.f64 (pow.f64 x 5) 1/960 (*.f64 1/8 (*.f64 (pow.f64 x 3) (*.f64 x (*.f64 x -1/24))))) (pow.f64 y 4)))) (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/1920 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 -1/24 (/.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 x 3) x) -1/24) (*.f64 (*.f64 x x) 1/24)) (/.f64 (*.f64 y y) -1/24))))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (*.f64 (pow.f64 y 4) x))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (*.f64 (pow.f64 y 2) x))) (*.f64 -2 (/.f64 (-.f64 (*.f64 1/645120 (pow.f64 x 7)) (+.f64 (*.f64 -1/8 (*.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) (pow.f64 x 2))) (+.f64 (*.f64 1/92160 (pow.f64 x 7)) (*.f64 1/384 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 4)))))) (*.f64 (pow.f64 y 6) x)))))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1/3840 (pow.f64 x 5)) (+.f64 (*.f64 -1/768 (pow.f64 x 5)) (*.f64 -1/8 (*.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) (pow.f64 x 2))))) x)) (+.f64 (*.f64 -1/24 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2))) (*.f64 1/1920 (pow.f64 x 4)))) (pow.f64 x 2)) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 4)) (pow.f64 y 6))) (+.f64 (*.f64 -1/322560 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 3))) x)) (*.f64 -1/24 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 y 4))) (*.f64 -1/24 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))))))) |
(-.f64 (+.f64 1 (fma.f64 -2 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24))))) (*.f64 x (pow.f64 y 4))) (*.f64 -2 (+.f64 (/.f64 (*.f64 (pow.f64 x 3) -1/24) (*.f64 x (*.f64 y y))) (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24)))))) (fma.f64 1/92160 (pow.f64 x 7) (*.f64 1/384 (*.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 3) -1/24)))))) (*.f64 x (pow.f64 y 6))))))) (fma.f64 -1/24 (/.f64 (-.f64 (/.f64 (*.f64 -2 (-.f64 (*.f64 (pow.f64 x 5) -1/3840) (fma.f64 -1/768 (pow.f64 x 5) (*.f64 -1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) -1/24)))))) x) (fma.f64 -1/24 (*.f64 (*.f64 x x) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 x 3) -1/24) x)) (*.f64 1/24 (*.f64 x x)))) (*.f64 (pow.f64 x 4) 1/1920))) (/.f64 (pow.f64 y 6) (*.f64 x x))) (fma.f64 1/1920 (/.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 x 3) -1/24) x)) (*.f64 1/24 (*.f64 x x))) (/.f64 (pow.f64 y 6) (pow.f64 x 4))) (fma.f64 -1/322560 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 1/1920 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 -1/24 (+.f64 (/.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 x 3) -1/24) x)) (*.f64 1/24 (*.f64 x x))) (/.f64 (pow.f64 y 4) (*.f64 x x))) (/.f64 (*.f64 x x) (*.f64 y y))))))))) |
(+.f64 1 (-.f64 (*.f64 -2 (+.f64 (+.f64 (*.f64 (/.f64 (pow.f64 x 3) x) (/.f64 -1/24 (*.f64 y y))) (/.f64 (-.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 (*.f64 (pow.f64 x 3) -1/24) (*.f64 (*.f64 x x) -1/8))) (*.f64 x (pow.f64 y 4)))) (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (*.f64 x (*.f64 x (-.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 (*.f64 (pow.f64 x 3) -1/24) (*.f64 (*.f64 x x) -1/8))))) (fma.f64 (pow.f64 x 7) 1/92160 (*.f64 1/384 (*.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 3) -1/24)))))) (*.f64 x (pow.f64 y 6))))) (fma.f64 -1/24 (*.f64 (/.f64 (-.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 (pow.f64 x 5) 1/960) (*.f64 (*.f64 (pow.f64 x 3) -1/24) (*.f64 (*.f64 x x) -1/8))) x)) (fma.f64 (pow.f64 x 4) 1/1920 (*.f64 (*.f64 x (*.f64 x -1/24)) (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 (*.f64 x x) 1/24))))) (pow.f64 y 6)) (*.f64 x x)) (fma.f64 1/1920 (*.f64 (/.f64 (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 (*.f64 x x) 1/24)) (pow.f64 y 6)) (pow.f64 x 4)) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -1/322560 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/1920 (*.f64 -1/24 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (fma.f64 -2 (/.f64 (pow.f64 x 3) (/.f64 x -1/24)) (*.f64 (*.f64 x x) 1/24)) (/.f64 (pow.f64 y 4) (*.f64 x x))))))))))) |
(+.f64 1 (-.f64 (fma.f64 -2 (/.f64 (fma.f64 (pow.f64 x 5) 1/960 (*.f64 1/8 (*.f64 (pow.f64 x 3) (*.f64 x (*.f64 x -1/24))))) (*.f64 x (pow.f64 y 4))) (*.f64 (/.f64 -2 x) (+.f64 (/.f64 (pow.f64 x 3) (/.f64 (*.f64 y y) -1/24)) (/.f64 (-.f64 (*.f64 (pow.f64 x 7) 1/645120) (fma.f64 -1/8 (*.f64 x (*.f64 x (fma.f64 (pow.f64 x 5) 1/960 (*.f64 1/8 (*.f64 (pow.f64 x 3) (*.f64 x (*.f64 x -1/24))))))) (fma.f64 1/384 (*.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 3) -1/24)) (*.f64 (pow.f64 x 7) 1/92160)))) (pow.f64 y 6))))) (fma.f64 -1/24 (*.f64 (/.f64 (+.f64 (fma.f64 -2 (/.f64 (fma.f64 (pow.f64 x 5) 1/960 (*.f64 1/8 (*.f64 (pow.f64 x 3) (*.f64 x (*.f64 x -1/24))))) x) (*.f64 (*.f64 x x) (*.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 x 3) x) -1/24) (*.f64 (*.f64 x x) 1/24)) 1/24))) (*.f64 (pow.f64 x 4) -1/1920)) (pow.f64 y 6)) (*.f64 x x)) (fma.f64 1/1920 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 6)) (fma.f64 -2 (*.f64 (/.f64 (pow.f64 x 3) x) -1/24) (*.f64 (*.f64 x x) 1/24))) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) -1/322560 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1/1920 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (+.f64 -1/24 (/.f64 (fma.f64 -2 (*.f64 (/.f64 (pow.f64 x 3) x) -1/24) (*.f64 (*.f64 x x) 1/24)) (/.f64 (*.f64 y y) -1/24)))))))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 8.6b | (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) | |
| ✓ | 8.6b | (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)) |
| 26.4b | (sin.f64 (*.f64 x (/.f64 1/2 y))) | |
| 26.5b | (tan.f64 (*.f64 x (/.f64 1/2 y))) |
Compiled 79 to 58 computations (26.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)) |
| 0.0ms | y | @ | -inf | (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)) |
| 0.0ms | y | @ | inf | (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)) |
| 0.0ms | x | @ | inf | (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)) |
| 1× | batch-egg-rewrite |
| 850× | pow1_binary64 |
| 787× | add-log-exp_binary64 |
| 787× | log1p-expm1-u_binary64 |
| 787× | expm1-log1p-u_binary64 |
| 770× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 9 |
| 1 | 210 | 9 |
| 2 | 2191 | 9 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (*.f64 x (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))))))) |
| 1× | egg-herbie |
| 2021× | fma-def_binary64 |
| 1495× | associate-/l/_binary64 |
| 433× | times-frac_binary64 |
| 421× | associate-/l*_binary64 |
| 404× | sqr-pow_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 426 |
| 1 | 84 | 426 |
| 2 | 229 | 426 |
| 3 | 771 | 399 |
| 4 | 3703 | 399 |
| 5 | 4040 | 399 |
| 6 | 4489 | 399 |
| 7 | 4771 | 399 |
| 8 | 5095 | 399 |
| 9 | 5376 | 399 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (pow.f64 (/.f64 x y) 3))) |
(fma.f64 1/2 (/.f64 x y) (/.f64 -1/48 (pow.f64 (/.f64 y x) 3))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/2 (/.f64 x y) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (/.f64 -1/48 (pow.f64 (/.f64 y x) 3)))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/2 (/.f64 x y) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 (pow.f64 x 7) (/.f64 -1/645120 (pow.f64 y 7)))))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 x (/.f64 1/2 y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 x (/.f64 1/2 y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 x (/.f64 1/2 y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 x (/.f64 1/2 y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 x (/.f64 1/2 y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 x (/.f64 1/2 y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 x (/.f64 1/2 y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 x (/.f64 1/2 y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 x (/.f64 1/2 y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 x (/.f64 1/2 y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 x (/.f64 1/2 y))) |
(sin.f64 (*.f64 1/2 (/.f64 x y))) |
(sin.f64 (*.f64 x (/.f64 1/2 y))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (pow.f64 (/.f64 x y) 3))) |
(fma.f64 1/2 (/.f64 x y) (/.f64 -1/48 (pow.f64 (/.f64 y x) 3))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/2 (/.f64 x y) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (/.f64 -1/48 (pow.f64 (/.f64 y x) 3)))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/2 (/.f64 x y) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 (pow.f64 x 7) (/.f64 -1/645120 (pow.f64 y 7)))))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 x (/.f64 1/2 y)) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) |
(fma.f64 1/2 (/.f64 x y) (*.f64 -1/48 (pow.f64 (/.f64 x y) 3))) |
(fma.f64 1/2 (/.f64 x y) (/.f64 -1/48 (pow.f64 (/.f64 y x) 3))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/2 (/.f64 x y) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (/.f64 -1/48 (pow.f64 (/.f64 y x) 3)))) |
(+.f64 (*.f64 1/2 (/.f64 x y)) (+.f64 (*.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)) (*.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(fma.f64 1/2 (/.f64 x y) (fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 -1/645120 (/.f64 (pow.f64 x 7) (pow.f64 y 7)))))) |
(fma.f64 -1/48 (pow.f64 (/.f64 x y) 3) (fma.f64 1/2 (/.f64 x y) (fma.f64 1/3840 (/.f64 (pow.f64 x 5) (pow.f64 y 5)) (*.f64 (pow.f64 x 7) (/.f64 -1/645120 (pow.f64 y 7)))))) |
Compiled 13660 to 10356 computations (24.2% saved)
97 alts after pruning (91 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 552 | 51 | 603 |
| Fresh | 31 | 40 | 71 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 6 | 6 |
| Total | 584 | 97 | 681 |
| Status | Error | Program |
|---|---|---|
| 60.3b | (/.f64 (sqrt.f64 (pow.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 26.9b | 1 | |
| 29.0b | (/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)) | |
| 40.5b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 1/6) 2) 3))))) | |
| 26.4b | (log1p.f64 (expm1.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 3)))) | |
| 34.1b | (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 28.3b | (pow.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -2) | |
| 28.1b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3)))))) | |
| 26.4b | (/.f64 1 (log.f64 (exp.f64 (-.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) | |
| 51.9b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2)))) 3))) | |
| 60.3b | (/.f64 (sqrt.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 34.1b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (*.f64 (/.f64 1/2 y) x))) | |
| 40.5b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 x 1/2) y)) 2/3) 3))))) | |
| 43.3b | (/.f64 1 (cos.f64 (*.f64 (*.f64 (/.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x)))) | |
| 26.6b | (/.f64 1 (-.f64 (+.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)) | |
| ✓ | 26.4b | (/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
| 26.4b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 2) 3/2) 3))))) | |
| 26.5b | (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3))) | |
| 44.6b | (/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 1/2 x) (sqrt.f64 y)) (sqrt.f64 y)))) | |
| 26.7b | (/.f64 1 (cos.f64 (*.f64 (*.f64 (/.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))) | |
| ▶ | 26.5b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) 3))))) |
| 62.2b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (sin.f64 1))))) 3))) | |
| 26.4b | (/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))) | |
| 26.4b | (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -3) | |
| 52.9b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) 3))) | |
| 27.3b | (/.f64 1 (sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 2))) | |
| 31.0b | (/.f64 1 (fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1)) | |
| 26.4b | (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 3) | |
| 28.2b | (/.f64 1 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) 2) (cbrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) | |
| 28.1b | (log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))))) | |
| 58.4b | (/.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 34.7b | (*.f64 (/.f64 1 (sin.f64 (/.f64 (*.f64 x 1/2) y))) (tan.f64 (/.f64 (*.f64 x 1/2) y))) | |
| ✓ | 26.2b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3))))) |
| 61.1b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 1)))) | |
| 52.0b | (/.f64 (sqrt.f64 (pow.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 26.6b | (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3)) | |
| 26.8b | (log1p.f64 (log.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) | |
| 26.8b | (log1p.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))))) | |
| 28.8b | (log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (sin.f64 1)))))) | |
| 48.2b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) 3))) | |
| 27.4b | (sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) | |
| 27.5b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 2) 1/6) 3))))) | |
| 60.1b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sqrt.f64 (pow.f64 (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))) (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) 2))) | |
| 52.1b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 1/2 (/.f64 y x)))) | |
| 26.9b | (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 3)) | |
| 26.6b | (/.f64 1 (log.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) 1))) | |
| 26.4b | (log1p.f64 (expm1.f64 (/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) | |
| 59.3b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) | |
| 28.3b | (/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 59.3b | (/.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 1) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| ✓ | 26.6b | (/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
| 40.6b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 1/3) 3))))) | |
| 59.2b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 26.5b | (/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 59.8b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))) (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) 3))) | |
| 26.6b | (-.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1) | |
| ✓ | 26.4b | (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
| 51.9b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2)))) 3))) | |
| 40.4b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x 1/2) y)) 1/3)) 3))))) | |
| 26.8b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) 3))))) | |
| ✓ | 26.5b | (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
| 28.1b | (/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3)))) | |
| 34.5b | (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))) 3) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| ▶ | 29.7b | (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
| 44.6b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y)))))) | |
| 58.5b | (/.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 26.6b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) | |
| 34.1b | (/.f64 (+.f64 0 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 26.4b | (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3) | |
| 28.3b | (exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) | |
| 33.6b | (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))) 3) | |
| 36.8b | (/.f64 (*.f64 (/.f64 1/2 y) x) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 26.4b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))))) | |
| 27.6b | (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) | |
| 61.3b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sqrt.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (sin.f64 1))) 2))) | |
| 27.8b | (/.f64 1 (cos.f64 (sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 y x) 2))))) | |
| 60.9b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (-.f64 (+.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) 1)) | |
| 40.6b | (/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2))) | |
| 36.8b | (/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 28.3b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)))) 3))))) | |
| 26.6b | (cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3)) | |
| 55.7b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))) 3))) | |
| 52.0b | (/.f64 (sqrt.f64 (pow.f64 (neg.f64 (tan.f64 (/.f64 x (*.f64 y -2)))) 2)) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 26.4b | (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -3)) | |
| ✓ | 51.9b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (*.f64 (/.f64 1/2 y) x))) |
| 40.6b | (/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2))) | |
| ▶ | 26.4b | (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3))) |
| ▶ | 28.3b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y)))))))) |
| 48.2b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))) 3)) 3))) | |
| 60.0b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sqrt.f64 (pow.f64 (log.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))) 2))) | |
| 44.1b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (fabs.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) | |
| ▶ | 26.2b | (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3))) |
| 28.2b | (/.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) 3))) | |
| 26.7b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 1/2 y)) (cbrt.f64 x)) 3))))) | |
| 27.3b | (sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2)) | |
| 60.9b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 43.1b | (*.f64 (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))) 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (/.f64 x y))) 2))) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
Compiled 3458 to 2822 computations (18.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 x (/.f64 1/2 y)) | |
| ✓ | 0.6b | (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3) |
| 14.4b | (cbrt.f64 (*.f64 x (/.f64 1/2 y))) | |
| 26.1b | (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3)) |
Compiled 49 to 36 computations (26.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3) |
| 1.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3) |
| 1.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3) |
| 1.0ms | y | @ | inf | (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3) |
| 1.0ms | y | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3) |
| 1× | batch-egg-rewrite |
| 790× | pow1_binary64 |
| 744× | add-log-exp_binary64 |
| 743× | log1p-expm1-u_binary64 |
| 743× | expm1-log1p-u_binary64 |
| 728× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 7 |
| 1 | 197 | 7 |
| 2 | 2078 | 7 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (*.f64 y y))) (*.f64 (cbrt.f64 (/.f64 1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (/.f64 1/2 y)) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/2 y)) (*.f64 (sqrt.f64 (/.f64 1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) (sqrt.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/6) (*.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2)) 3) (cbrt.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 1/2 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1/2 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (/.f64 1/4 (*.f64 y y)))) (cbrt.f64 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) (sqrt.f64 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) 1) (cbrt.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) (cbrt.f64 x)) (cbrt.f64 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/6)) (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 1/2)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1/2 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 1/2 y)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
| ✓ | 0.3b | (*.f64 (/.f64 x y) (/.f64 x y)) |
Compiled 26 to 9 computations (65.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 x y) (/.f64 x y)) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 x y) (/.f64 x y)) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 x y) (/.f64 x y)) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 x y) (/.f64 x y)) |
| 0.0ms | y | @ | 0 | (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
| 1× | batch-egg-rewrite |
| 794× | pow1_binary64 |
| 740× | add-log-exp_binary64 |
| 739× | log1p-expm1-u_binary64 |
| 739× | expm1-log1p-u_binary64 |
| 723× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 18 |
| 1 | 164 | 18 |
| 2 | 2049 | 18 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x y) (/.f64 x y)) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (/.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 (/.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 x y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (/.f64 x y))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 x y)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 x y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x y)) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1)) 2) (cbrt.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8) 3) 1) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8) (*.f64 (pow.f64 (/.f64 x y) 2) 1/8)) (-.f64 1 (*.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8) (*.f64 (pow.f64 (/.f64 x y) 2) 1/8)) 1) (-.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 (/.f64 x y) 2) 1/8 1))))))) |
| 1× | egg-herbie |
| 713× | *-commutative_binary64 |
| 639× | associate-/l*_binary64 |
| 574× | sqr-pow_binary64 |
| 395× | associate-/r*_binary64 |
| 330× | associate-/l/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 570 |
| 1 | 24 | 534 |
| 2 | 49 | 534 |
| 3 | 137 | 534 |
| 4 | 673 | 534 |
| 5 | 4252 | 534 |
| 6 | 4931 | 534 |
| 7 | 5144 | 534 |
| 8 | 5349 | 534 |
| 9 | 5585 | 534 |
| 10 | 5905 | 534 |
| 11 | 6733 | 534 |
| 12 | 7285 | 534 |
| 13 | 7936 | 534 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
| Outputs |
|---|
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1) |
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1) |
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1) |
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1) |
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1) |
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1) |
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1) |
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1) |
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1) |
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1) |
(*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y)) |
(*.f64 (/.f64 1/8 y) (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8) |
(*.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y))) |
(*.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y)))) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1) |
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1) |
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1) |
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1) |
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1) |
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1) |
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1) |
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1) |
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1) |
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1) |
(*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y)) |
(*.f64 (/.f64 1/8 y) (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8) |
(*.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y))) |
(*.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y)))) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1) |
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1) |
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1) |
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1) |
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1) |
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1) |
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1) |
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1) |
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1) |
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1) |
(*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y)) |
(*.f64 (/.f64 1/8 y) (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8) |
(*.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y))) |
(*.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y)))) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1) |
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1) |
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1) |
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1) |
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1) |
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1) |
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1) |
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1) |
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1) |
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1) |
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1) |
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1) |
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1) |
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1) |
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1) |
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1) |
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1) |
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1) |
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1) |
1 |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1) |
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1) |
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1) |
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1) |
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1) |
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1) |
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1) |
(+.f64 1 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (/.f64 (*.f64 1/8 (*.f64 x x)) (*.f64 y y))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/8 1) |
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) x)) 1/8 1) |
(fma.f64 (*.f64 x x) (/.f64 1/8 (*.f64 y y)) 1) |
(fma.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y))) 1) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3))) |
| ✓ | 0.6b | (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3) |
| ✓ | 14.4b | (cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
| ✓ | 26.0b | (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)) |
Compiled 49 to 30 computations (38.8% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3) |
| 0.0ms | y | @ | inf | (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3) |
| 0.0ms | y | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3) |
| 0.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3) |
| 0.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3) |
| 1× | batch-egg-rewrite |
| 643× | prod-diff_binary64 |
| 501× | log-prod_binary64 |
| 272× | pow2_binary64 |
| 267× | pow-prod-down_binary64 |
| 190× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 1 | 255 | 37 |
| 2 | 2771 | 37 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3)) |
(cbrt.f64 (*.f64 1/2 (/.f64 x y))) |
(pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3) |
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) y)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) y)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2) (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))) (sqrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2) (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))) (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 1/6) (pow.f64 (/.f64 (*.f64 1/2 x) y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1/2 x) y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 1/2 x) y)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/2 x) y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (/.f64 (*.f64 1/2 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y))))) 3/2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 1/2 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 x y)))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 x y))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 1/2 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) 2) (cbrt.f64 (/.f64 (*.f64 1/2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 1/2 x) y)) (sqrt.f64 (/.f64 (*.f64 1/2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 1/6) (pow.f64 (/.f64 (*.f64 1/2 x) y) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 5/6) (pow.f64 (/.f64 (*.f64 1/2 x) y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) 2) 1) (cbrt.f64 (/.f64 (*.f64 1/2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) 2) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1/2) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 1/2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 1/2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/2 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 1/2 x) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 (*.f64 1/2 x) y))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 1/2 x) y))) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2)) (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -1/2) (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))) -2) (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 2)))))) |
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 18 |
| 1 | 4 | 18 |
| 1× | saturated |
| Inputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
| Outputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))) |
| ✓ | 1.1b | (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y)))) |
| ✓ | 3.4b | (log1p.f64 (*.f64 x (/.f64 1/2 y))) |
| ✓ | 13.8b | (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) |
Compiled 68 to 51 computations (25% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (log1p.f64 (*.f64 x (/.f64 1/2 y))) |
| 1.0ms | x | @ | -inf | (log1p.f64 (*.f64 x (/.f64 1/2 y))) |
| 1.0ms | x | @ | inf | (log1p.f64 (*.f64 x (/.f64 1/2 y))) |
| 1.0ms | y | @ | 0 | (log1p.f64 (*.f64 x (/.f64 1/2 y))) |
| 1.0ms | y | @ | inf | (log1p.f64 (*.f64 x (/.f64 1/2 y))) |
| 1× | batch-egg-rewrite |
| 669× | prod-diff_binary64 |
| 479× | log-prod_binary64 |
| 379× | exp-prod_binary64 |
| 267× | pow2_binary64 |
| 255× | pow-prod-down_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 39 |
| 1 | 225 | 39 |
| 2 | 2597 | 39 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) |
(log1p.f64 (*.f64 x (/.f64 1/2 y))) |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y)))) |
(expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 1)))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))) 2)) (cbrt.f64 (log.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))))) (sqrt.f64 (log.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) 2) (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) (sqrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2)))))) -1))))) |
| 1× | egg-herbie |
| 669× | fma-neg_binary64 |
| 632× | fma-def_binary64 |
| 572× | times-frac_binary64 |
| 390× | associate-+l+_binary64 |
| 389× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 1864 |
| 1 | 422 | 1768 |
| 2 | 1418 | 1687 |
| 3 | 7358 | 1687 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
(cos.f64 (*.f64 1/2 (/.f64 x y))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 1/2 (/.f64 x y))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/2 (/.f64 x y))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1/2 y))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 y x)) (log.f64 (/.f64 1/2 y)))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 y x)) (log.f64 (/.f64 1/2 y))))) |
(+.f64 (*.f64 8/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 y x)) (log.f64 (/.f64 1/2 y)))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 y))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 2 (/.f64 y x)) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 y)))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 y x)) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 y))))))) |
(+.f64 (*.f64 8/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 y x)) (log.f64 (neg.f64 (*.f64 1/2 (/.f64 1 y)))))))) |
(+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 -1 (log.f64 y))) |
(+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 -1 (log.f64 y)))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 -1 (log.f64 y))))) |
(+.f64 (*.f64 8/3 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 -1 (log.f64 y)))))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 1/2 (/.f64 x y))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/2 (/.f64 x y))))) |
(*.f64 1/2 (/.f64 x y)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 1/2 (/.f64 x y))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 1/2 (/.f64 x y)))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/64 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 1/2 (/.f64 x y))))) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(*.f64 1/2 (/.f64 x y)) |
(-.f64 (E.f64) 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (E.f64)) 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (*.f64 1/48 (/.f64 (*.f64 (E.f64) (pow.f64 x 4)) (pow.f64 y 4))))) 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 151/46080 (/.f64 (*.f64 (E.f64) (pow.f64 x 6)) (pow.f64 y 6))) (+.f64 (E.f64) (*.f64 1/48 (/.f64 (*.f64 (E.f64) (pow.f64 x 4)) (pow.f64 y 4)))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(-.f64 (E.f64) 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (E.f64)) 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)))) 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/46080 (pow.f64 x 6))))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2)))))) (pow.f64 y 6))))) 1) |
(-.f64 (E.f64) 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (E.f64)) 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)))) 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/46080 (pow.f64 x 6))))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2)))))) (pow.f64 y 6))))) 1) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) |
(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) 1)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (*.f64 x x) (*.f64 y y)) 1) (fma.f64 -1/46080 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (*.f64 1/384 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) |
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(fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 1/2 (/.f64 x y) (fma.f64 1/24 (pow.f64 (/.f64 x y) 3) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 4) -1/64))))) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(*.f64 1/2 (/.f64 x y)) |
(/.f64 1/2 (/.f64 y x)) |
(-.f64 (E.f64) 1) |
(+.f64 (E.f64) -1) |
(expm1.f64 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (E.f64)) 1) |
(+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) -1) |
(fma.f64 1/8 (*.f64 (/.f64 (E.f64) (*.f64 y y)) (*.f64 x x)) (expm1.f64 1)) |
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (expm1.f64 1)) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (*.f64 1/48 (/.f64 (*.f64 (E.f64) (pow.f64 x 4)) (pow.f64 y 4))))) 1) |
(+.f64 (+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) (*.f64 1/48 (/.f64 (E.f64) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) -1) |
(fma.f64 1/8 (*.f64 (/.f64 (E.f64) (*.f64 y y)) (*.f64 x x)) (+.f64 (fma.f64 1/48 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (pow.f64 x 4)) (E.f64)) -1)) |
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 (/.f64 (E.f64) (pow.f64 y 4)) (*.f64 (pow.f64 x 4) 1/48) (expm1.f64 1))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 151/46080 (/.f64 (*.f64 (E.f64) (pow.f64 x 6)) (pow.f64 y 6))) (+.f64 (E.f64) (*.f64 1/48 (/.f64 (*.f64 (E.f64) (pow.f64 x 4)) (pow.f64 y 4)))))) 1) |
(+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (fma.f64 151/46080 (/.f64 (E.f64) (/.f64 (pow.f64 y 6) (pow.f64 x 6))) (+.f64 (E.f64) (*.f64 1/48 (/.f64 (E.f64) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))))) -1) |
(fma.f64 1/8 (*.f64 (/.f64 (E.f64) (*.f64 y y)) (*.f64 x x)) (+.f64 (fma.f64 151/46080 (*.f64 (/.f64 (E.f64) (pow.f64 y 6)) (pow.f64 x 6)) (fma.f64 1/48 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (pow.f64 x 4)) (E.f64))) -1)) |
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 151/46080 (*.f64 (pow.f64 x 6) (/.f64 (E.f64) (pow.f64 y 6))) (fma.f64 (/.f64 (E.f64) (pow.f64 y 4)) (*.f64 (pow.f64 x 4) 1/48) (expm1.f64 1)))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 1) |
(expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y))))) |
(expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x))))) |
(-.f64 (E.f64) 1) |
(+.f64 (E.f64) -1) |
(expm1.f64 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (E.f64)) 1) |
(+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) -1) |
(fma.f64 1/8 (*.f64 (/.f64 (E.f64) (*.f64 y y)) (*.f64 x x)) (expm1.f64 1)) |
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (expm1.f64 1)) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)))) 1) |
(+.f64 (+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) (*.f64 1/48 (/.f64 (E.f64) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) -1) |
(fma.f64 1/8 (*.f64 (/.f64 (E.f64) (*.f64 y y)) (*.f64 x x)) (+.f64 (fma.f64 1/48 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (pow.f64 x 4)) (E.f64)) -1)) |
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 (/.f64 (E.f64) (pow.f64 y 4)) (*.f64 (pow.f64 x 4) 1/48) (expm1.f64 1))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/46080 (pow.f64 x 6))))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2)))))) (pow.f64 y 6))))) 1) |
(+.f64 (+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) (+.f64 (/.f64 (E.f64) (/.f64 (pow.f64 y 4) (fma.f64 1/128 (pow.f64 x 4) (neg.f64 (*.f64 (pow.f64 x 4) -5/384))))) (/.f64 (E.f64) (/.f64 (pow.f64 y 6) (fma.f64 -1 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (fma.f64 1/3072 (pow.f64 x 6) (*.f64 (*.f64 -1/8 (*.f64 (pow.f64 x 4) -5/384)) (*.f64 x x)))))))) -1) |
(fma.f64 1/8 (*.f64 (/.f64 (E.f64) (*.f64 y y)) (*.f64 x x)) (+.f64 (+.f64 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (fma.f64 (pow.f64 x 4) 1/128 (*.f64 (pow.f64 x 4) 5/384))) (*.f64 (/.f64 (E.f64) (pow.f64 y 6)) (-.f64 (fma.f64 -1/8 (*.f64 (pow.f64 x 6) -5/384) (*.f64 (pow.f64 x 6) 1/3072)) (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 1/8 (*.f64 (pow.f64 x 6) -5/384)))))) (expm1.f64 1))) |
(+.f64 (expm1.f64 1) (fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 (/.f64 (E.f64) (pow.f64 y 6)) (+.f64 (*.f64 (pow.f64 x 6) 5/3072) (+.f64 (*.f64 (pow.f64 x 6) 5/3072) (*.f64 (pow.f64 x 6) 1/46080))) (*.f64 (/.f64 1/48 (pow.f64 y 4)) (*.f64 (pow.f64 x 4) (E.f64)))))) |
(-.f64 (E.f64) 1) |
(+.f64 (E.f64) -1) |
(expm1.f64 1) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (E.f64)) 1) |
(+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) -1) |
(fma.f64 1/8 (*.f64 (/.f64 (E.f64) (*.f64 y y)) (*.f64 x x)) (expm1.f64 1)) |
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (expm1.f64 1)) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)))) 1) |
(+.f64 (+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) (*.f64 1/48 (/.f64 (E.f64) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) -1) |
(fma.f64 1/8 (*.f64 (/.f64 (E.f64) (*.f64 y y)) (*.f64 x x)) (+.f64 (fma.f64 1/48 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (pow.f64 x 4)) (E.f64)) -1)) |
(fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 (/.f64 (E.f64) (pow.f64 y 4)) (*.f64 (pow.f64 x 4) 1/48) (expm1.f64 1))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (*.f64 (E.f64) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (E.f64) (+.f64 (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 1/128 (pow.f64 x 4)) (*.f64 -1 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4)))))) (pow.f64 y 4)) (/.f64 (*.f64 (E.f64) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/46080 (pow.f64 x 6))))) (+.f64 (*.f64 1/3072 (pow.f64 x 6)) (*.f64 -1/8 (*.f64 (+.f64 (*.f64 -1/64 (pow.f64 x 4)) (*.f64 1/384 (pow.f64 x 4))) (pow.f64 x 2)))))) (pow.f64 y 6))))) 1) |
(+.f64 (+.f64 (fma.f64 1/8 (/.f64 (E.f64) (/.f64 (*.f64 y y) (*.f64 x x))) (E.f64)) (+.f64 (/.f64 (E.f64) (/.f64 (pow.f64 y 4) (fma.f64 1/128 (pow.f64 x 4) (neg.f64 (*.f64 (pow.f64 x 4) -5/384))))) (/.f64 (E.f64) (/.f64 (pow.f64 y 6) (fma.f64 -1 (fma.f64 1/8 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -5/384)) (*.f64 (pow.f64 x 6) 7/23040)) (fma.f64 1/3072 (pow.f64 x 6) (*.f64 (*.f64 -1/8 (*.f64 (pow.f64 x 4) -5/384)) (*.f64 x x)))))))) -1) |
(fma.f64 1/8 (*.f64 (/.f64 (E.f64) (*.f64 y y)) (*.f64 x x)) (+.f64 (+.f64 (*.f64 (/.f64 (E.f64) (pow.f64 y 4)) (fma.f64 (pow.f64 x 4) 1/128 (*.f64 (pow.f64 x 4) 5/384))) (*.f64 (/.f64 (E.f64) (pow.f64 y 6)) (-.f64 (fma.f64 -1/8 (*.f64 (pow.f64 x 6) -5/384) (*.f64 (pow.f64 x 6) 1/3072)) (fma.f64 (pow.f64 x 6) 7/23040 (*.f64 1/8 (*.f64 (pow.f64 x 6) -5/384)))))) (expm1.f64 1))) |
(+.f64 (expm1.f64 1) (fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (fma.f64 (/.f64 (E.f64) (pow.f64 y 6)) (+.f64 (*.f64 (pow.f64 x 6) 5/3072) (+.f64 (*.f64 (pow.f64 x 6) 5/3072) (*.f64 (pow.f64 x 6) 1/46080))) (*.f64 (/.f64 1/48 (pow.f64 y 4)) (*.f64 (pow.f64 x 4) (E.f64)))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.8b | (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) |
| ✓ | 0.8b | (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) 3)))) |
| ✓ | 14.4b | (cbrt.f64 (/.f64 (*.f64 x 1/2) y)) |
| ✓ | 26.7b | (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) 3)) |
Compiled 105 to 84 computations (20% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 44.0ms | x | @ | 0 | (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) 3)) |
| 20.0ms | y | @ | 0 | (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) 3)) |
| 12.0ms | y | @ | -inf | (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) 3)) |
| 10.0ms | x | @ | inf | (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) 3)) |
| 9.0ms | y | @ | inf | (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) 3)) |
| 1× | batch-egg-rewrite |
| 594× | log-prod_binary64 |
| 363× | pow-prod-down_binary64 |
| 312× | pow2_binary64 |
| 229× | pow-to-exp_binary64 |
| 217× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 41 |
| 1 | 318 | 41 |
| 2 | 3278 | 41 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) 3)) |
(cbrt.f64 (/.f64 (*.f64 x 1/2) y)) |
(expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) 3)))) |
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/18) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/18) 4) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/18) 4)) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/18) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 1 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/18) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/6) (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 5/6) (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/18) 4) 1) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (*.f64 2 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 x -1/2)) (cbrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (*.f64 x 1/2))) (neg.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/2 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 x y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 1/9 (log.f64 (*.f64 1/2 (/.f64 x y))))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (*.f64 1/2 (/.f64 x y)))) 2)))))) |
| 1× | egg-herbie |
| 342× | fma-neg_binary64 |
| 319× | *-commutative_binary64 |
| 294× | distribute-lft-out_binary64 |
| 285× | unswap-sqr_binary64 |
| 261× | unsub-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 1896 |
| 1 | 305 | 1752 |
| 2 | 680 | 1704 |
| 3 | 1814 | 1632 |
| 4 | 4532 | 1552 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 9)))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 9)))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 9)))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 9)))) |
(cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 9)))) |
(cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 9)))) |
(cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 9)))) |
(cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 9)))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 4) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)))) 5))))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 4) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)))) 5))))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 4) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)))) 5))))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 4) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)))) 5))))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))) |
(cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 9)))) |
(cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 9)))) |
(cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 9)))) |
(cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 9)))) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 9)))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 9)))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 9)))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 9)))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 9)))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 9)))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 9)))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 9)))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 5) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)))) 4))))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 5) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)))) 4))))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 5) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)))) 4))))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 5) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)))) 4))))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 9)))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 9)))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 9)))))) 1) |
(-.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 9)))))) 1) |
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 3) (cbrt.f64 1/2))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 3) (cbrt.f64 1/2))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 3) (cbrt.f64 1/2))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 3) (cbrt.f64 1/2))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 3) (cbrt.f64 1/2))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 3) (cbrt.f64 1/2))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 3) (cbrt.f64 1/2))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 3) (cbrt.f64 1/2))) |
(*.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 3)) (pow.f64 1 1/3)) |
(*.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 3)) (pow.f64 1 1/3)) |
(*.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 3)) (pow.f64 1 1/3)) |
(*.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 3)) (pow.f64 1 1/3)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/2) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 2) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))))))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/2) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 2) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))))))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/2) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 2) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))))))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 1/2) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 2) (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x))))))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 3) (cbrt.f64 1/2))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 3) (cbrt.f64 1/2))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 3) (cbrt.f64 1/2))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 3) (cbrt.f64 1/2))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 3))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 3))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 3))) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 3))) |
| Outputs |
|---|
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 9)))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 9)))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 9)))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 y))))) 9)))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9))) |
(cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 9)))) |
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 y)))) 9))) |
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) 9))) |
(cos.f64 (*.f64 -1/2 (pow.f64 (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y)))) 9))) |
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y))) 9))) |
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) 9))) |
(cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 9)))) |
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 y)))) 9))) |
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) 9))) |
(cos.f64 (*.f64 -1/2 (pow.f64 (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y)))) 9))) |
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y))) 9))) |
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) 9))) |
(cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 9)))) |
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 y)))) 9))) |
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) 9))) |
(cos.f64 (*.f64 -1/2 (pow.f64 (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y)))) 9))) |
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y))) 9))) |
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) 9))) |
(cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 9)))) |
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 y)))) 9))) |
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) 9))) |
(cos.f64 (*.f64 -1/2 (pow.f64 (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y)))) 9))) |
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 -1/9) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y))) 9))) |
(cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) 9))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 4) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)))) 5))))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 4) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)))) 5))))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 4) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)))) 5))))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 y))))) 4) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 y)) (log.f64 x)))) 5))))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 y) (log.f64 x))) 9))) |
(cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9))) |
(cos.f64 (*.f64 1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 9)))) |
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(*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y)))) 3)) |
(*.f64 (cbrt.f64 -1/2) (exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x))) 1/3))) |
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (/.f64 (neg.f64 x) y) 1/18) 6)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 3))) |
(*.f64 1 (*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 y)))) 3))) |
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) 3)) |
(*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y)))) 3)) |
(*.f64 (cbrt.f64 -1/2) (exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x))) 1/3))) |
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (/.f64 (neg.f64 x) y) 1/18) 6)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 3))) |
(*.f64 1 (*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 y)))) 3))) |
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) 3)) |
(*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y)))) 3)) |
(*.f64 (cbrt.f64 -1/2) (exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x))) 1/3))) |
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (/.f64 (neg.f64 x) y) 1/18) 6)) |
(*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 3))) |
(*.f64 1 (*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (neg.f64 (log.f64 y)))) 3))) |
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x)))) 3)) |
(*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 -1/9 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 y)))) 3)) |
(*.f64 (cbrt.f64 -1/2) (exp.f64 (*.f64 (-.f64 (neg.f64 (log.f64 y)) (log.f64 (/.f64 -1 x))) 1/3))) |
(*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (/.f64 (neg.f64 x) y) 1/18) 6)) |
Compiled 11123 to 8727 computations (21.5% saved)
142 alts after pruning (133 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 611 | 77 | 688 |
| Fresh | 30 | 56 | 86 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 8 | 10 |
| Total | 643 | 142 | 785 |
| Status | Error | Program |
|---|---|---|
| 29.0b | (/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)) | |
| 26.6b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) | |
| 26.4b | (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 3)) | |
| 26.4b | (log1p.f64 (expm1.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 3)))) | |
| 60.3b | (/.f64 (sqrt.f64 (pow.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 40.5b | (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 x 1/2) y)) 2/3) 3))) | |
| 28.1b | (/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3)))) | |
| 43.3b | (/.f64 1 (cos.f64 (*.f64 (*.f64 (/.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x)))) | |
| 34.1b | (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 62.7b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 x (*.f64 y 2)))))) (sqrt.f64 (log.f64 (log1p.f64 (/.f64 x (*.f64 y 2))))))))))) | |
| 60.3b | (/.f64 (sqrt.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 26.4b | (/.f64 1 (log.f64 (exp.f64 (-.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) | |
| 51.9b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2)))) 3))) | |
| 26.7b | (/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y))))) | |
| 26.7b | (/.f64 1 (cos.f64 (*.f64 (*.f64 (/.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))) | |
| 34.1b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (*.f64 (/.f64 1/2 y) x))) | |
| 28.3b | (pow.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -2) | |
| 26.3b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 y 2)))) 3) 3))))) | |
| 40.5b | (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 1/6) 2) 3))) | |
| 26.4b | (pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3) | |
| 26.5b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 x 1/2))))) 3) 3))))) | |
| 26.9b | 1 | |
| 26.6b | (/.f64 1 (-.f64 (+.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)) | |
| ✓ | 26.4b | (/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
| 26.7b | (/.f64 1 (cos.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 1/2 y)) (cbrt.f64 x)) 3))) | |
| 26.4b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 2) 3/2) 3))))) | |
| 26.5b | (/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3))) | |
| 44.7b | (/.f64 1 (cos.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) (sqrt.f64 (/.f64 1/2 y))))) | |
| 40.0b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 2 (/.f64 y x)) -1/3)) 3) 3))))) | |
| 26.4b | (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -3) | |
| ✓ | 26.5b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) 3))))) |
| 62.2b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (sin.f64 1))))) 3))) | |
| 52.9b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) 3))) | |
| 27.3b | (/.f64 1 (sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 2))) | |
| 30.3b | (/.f64 1 (cos.f64 (*.f64 (*.f64 x (cbrt.f64 (/.f64 1/4 (*.f64 y y)))) (cbrt.f64 (/.f64 1/2 y))))) | |
| 54.3b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 9))))))) | |
| 28.2b | (/.f64 1 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))))) 2) (cbrt.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))))) | |
| 28.2b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x (*.f64 y 2)))) 3)))))) | |
| 31.0b | (/.f64 1 (fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1)) | |
| 26.4b | (pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 3) | |
| 26.5b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))))) 3) 3))))) | |
| 27.3b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 1/2 (/.f64 x y)))))))) | |
| 26.4b | (/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))) | |
| 58.4b | (/.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 61.1b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 1)))) | |
| 52.0b | (/.f64 (sqrt.f64 (pow.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 34.3b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 x (*.f64 y 2))) 3) 1/3)))))) | |
| 34.7b | (*.f64 (/.f64 1 (sin.f64 (/.f64 (*.f64 x 1/2) y))) (tan.f64 (/.f64 (*.f64 x 1/2) y))) | |
| 26.8b | (log1p.f64 (log.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) | |
| 26.8b | (log1p.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))))) | |
| 28.3b | (/.f64 1 (cos.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y)))) 3))) | |
| 40.4b | (/.f64 1 (cos.f64 (exp.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 (*.f64 1/2 x) y))) 3/2)))) | |
| 44.6b | (/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y)))) | |
| 30.2b | (/.f64 1 (cos.f64 (*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 1/2 (cbrt.f64 y))))) | |
| 48.2b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) 3))) | |
| 27.4b | (sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) | |
| 54.2b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 3))) 3))))) | |
| 27.5b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 2) 1/6) 3))))) | |
| 26.8b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) 9)) 3) 3))))) | |
| 28.5b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (/.f64 1/2 (/.f64 y x))))))) | |
| 40.7b | (/.f64 1 (cos.f64 (exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 1/2 x) y))) 1/3)))) | |
| 40.3b | (/.f64 1 (cos.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)))) 3)) 3))) | |
| 26.6b | (log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (*.f64 (cos.f64 (fma.f64 x (/.f64 1/2 y) 1)) (cos.f64 -1)) (*.f64 (sin.f64 (fma.f64 x (/.f64 1/2 y) 1)) (sin.f64 -1)))))) | |
| 55.6b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 -1/2 (*.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 1 y))))) 9))))))) | |
| 40.8b | (/.f64 1 (cos.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 1/6) 3)))) | |
| 43.3b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 (*.f64 (/.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x)))))) | |
| 40.4b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/18) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 5/6))) 3) 3))))) | |
| 26.4b | (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 3))) | |
| 60.1b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sqrt.f64 (pow.f64 (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))) (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) 2))) | |
| 52.1b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (/.f64 1/2 (/.f64 y x)))) | |
| 26.9b | (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 3)) | |
| 42.8b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 (pow.f64 (/.f64 (neg.f64 x) y) 1/18) 6)) 3))))) | |
| 40.4b | (/.f64 1 (cos.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x 1/2) y)) 1/3)) 3))) | |
| 26.5b | (/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (*.f64 (cbrt.f64 (/.f64 x y)) 1/2)))) | |
| 26.6b | (/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2)) 3) (cbrt.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| ✓ | 26.6b | (/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
| 26.7b | (/.f64 1 (cos.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) 3))) | |
| 26.6b | (/.f64 1 (log.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) 1))) | |
| 59.2b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 59.3b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) | |
| 59.8b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))) (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) 3))) | |
| 26.6b | (-.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1) | |
| ✓ | 26.4b | (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
| 40.8b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))) 3) 3))))) | |
| 26.4b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (/.f64 1 (cbrt.f64 y)))) 3) 3))))) | |
| 40.6b | (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 1/3) 3))) | |
| 26.8b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) 3))))) | |
| 53.4b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 x) (log.f64 y))) 9)))))) | |
| 26.6b | (/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) 2) (cbrt.f64 (/.f64 (*.f64 1/2 x) y))))) | |
| ✓ | 26.5b | (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
| 26.9b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1/2 y))))))) | |
| 27.7b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 2) 1/6)) 3) 3))))) | |
| 44.6b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y)))))) | |
| 28.1b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 x (*.f64 y 2)))) 2) (cbrt.f64 (log1p.f64 (/.f64 x (*.f64 y 2)))))))))) | |
| 40.5b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/18) 4)) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/18) 4)))) 3) 3))))) | |
| 26.6b | (/.f64 1 (cos.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 1/2 x) y)))))) | |
| 26.8b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 (*.f64 (/.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))))) | |
| 26.8b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (/.f64 1/2 y)) x)))))) | |
| 28.3b | (exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) | |
| 33.6b | (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 (*.f64 x 1/2) y)) (sin.f64 (/.f64 (*.f64 x 1/2) y)))) 3) | |
| 40.7b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/18) 4) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))) 3) 3))))) | |
| 27.6b | (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) | |
| 26.6b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y 2))) 2) (cbrt.f64 (/.f64 x (*.f64 y 2)))))))) | |
| 27.8b | (/.f64 1 (cos.f64 (sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 y x) 2))))) | |
| 34.1b | (/.f64 (+.f64 0 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 29.7b | (+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8) 1) | |
| 36.8b | (/.f64 (*.f64 (/.f64 1/2 y) x) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 61.3b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sqrt.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (sin.f64 1))) 2))) | |
| 27.5b | (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 2) 1/6) 3))) | |
| 40.8b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (*.f64 (cbrt.f64 1/2) (pow.f64 (pow.f64 (/.f64 x y) 1/18) 6)) 3))))) | |
| 62.2b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (*.f64 y 2))))) (sqrt.f64 (log.f64 (/.f64 x (*.f64 y 2))))))))) | |
| 53.4b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 3) (cbrt.f64 1/2))) 3))))) | |
| 28.8b | (/.f64 1 (+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (sin.f64 1)))) | |
| 40.9b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (*.f64 y 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (*.f64 y 2))))))))) | |
| 40.6b | (/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2))) | |
| 36.8b | (/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 26.6b | (cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3)) | |
| 28.3b | (/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) y))))) | |
| 52.0b | (/.f64 (sqrt.f64 (pow.f64 (neg.f64 (tan.f64 (/.f64 x (*.f64 y -2)))) 2)) (sin.f64 (/.f64 x (*.f64 y 2)))) | |
| 26.4b | (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -3)) | |
| 28.0b | (/.f64 1 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))) | |
| ✓ | 51.9b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sin.f64 (*.f64 (/.f64 1/2 y) x))) |
| 26.5b | (/.f64 1 (cos.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))))))) | |
| 26.2b | (/.f64 1 (cos.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 1/2)) 3))) | |
| 40.6b | (/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2))) | |
| ✓ | 26.4b | (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3))) |
| 60.0b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sqrt.f64 (pow.f64 (log.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))) 2))) | |
| 26.5b | (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 3) 3))) | |
| 44.1b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (fabs.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) | |
| 26.7b | (/.f64 1 (cos.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 2) (cbrt.f64 x)) (cbrt.f64 (/.f64 1/2 y))))) | |
| ✓ | 28.3b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y)))))))) |
| 62.5b | (*.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y)))) | |
| 48.2b | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))) 3)) 3))) | |
| 61.3b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (+.f64 (log.f64 x) (log.f64 (/.f64 1/2 y)))))))) | |
| ✓ | 26.2b | (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3))) |
| 40.8b | (/.f64 1 (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 5/6) (pow.f64 (/.f64 (*.f64 1/2 x) y) 1/6)))) | |
| 60.9b | (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (log.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) | |
| 28.6b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 x (*.f64 y 2))))) 1)))))) | |
| 26.3b | (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (*.f64 x 1/2) y))) 2) 3/2) 3))) | |
| 54.2b | (log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 -1/2 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))) 9)))))) | |
| 27.3b | (sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2)) | |
| 26.9b | (/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1/2 y))))) |
Compiled 2704 to 2240 computations (17.2% saved)
| Inputs |
|---|
1 |
1 |
(*.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y)))) |
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8) 1) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(/.f64 1 (-.f64 (+.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)) |
(/.f64 1 (fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1)) |
(/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)) |
(/.f64 1 (fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1)) |
(-.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1) |
(/.f64 1 (-.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)) |
(/.f64 (*.f64 (/.f64 1/2 y) x) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(*.f64 (/.f64 1 (sin.f64 (/.f64 (*.f64 x 1/2) y))) (tan.f64 (/.f64 (*.f64 x 1/2) y))) |
(/.f64 (+.f64 0 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) |
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -2) |
(pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -3) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) |
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -3)) |
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2)) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) |
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -3)) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3)) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) |
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) y))))) |
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y)))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) |
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y)))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) |
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 3)) |
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3)))) |
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3) |
(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3))) |
(/.f64 1 (sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 2))) |
(pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 3) |
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3)) |
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3)))) |
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3) |
(/.f64 1 (cos.f64 (sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 y x) 2))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3)) |
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2))) |
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3))) |
(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))) |
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3)) |
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)) |
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3) |
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3)))) |
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2))) |
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3))) |
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3) |
(/.f64 1 (cos.f64 (*.f64 (*.f64 (/.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x)))) |
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y)))) |
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 1/3) 3))) |
(/.f64 1 (cos.f64 (*.f64 (*.f64 (/.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x)))) |
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 1/2 x) (sqrt.f64 y)) (sqrt.f64 y)))) |
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))) |
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 3))) |
(/.f64 1 (cos.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) (sqrt.f64 (/.f64 1/2 y))))) |
(/.f64 1 (cos.f64 (exp.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 (*.f64 1/2 x) y))) 3/2)))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 1/2 (cbrt.f64 y))))) |
(/.f64 1 (cos.f64 (exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 1/2 x) y))) 1/3)))) |
(/.f64 1 (log.f64 (exp.f64 (-.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) |
(/.f64 1 (cos.f64 (*.f64 (*.f64 x (cbrt.f64 (/.f64 1/4 (*.f64 y y)))) (cbrt.f64 (/.f64 1/2 y))))) |
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 5/6) (pow.f64 (/.f64 (*.f64 1/2 x) y) 1/6)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 (/.f64 1/2 y) x))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (/.f64 1/2 (/.f64 y x))))))) |
(/.f64 1 (cos.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 1/2 y)) (cbrt.f64 x)) 3))) |
(/.f64 1 (cos.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) 3))) |
(/.f64 1 (cos.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 1/2)) 3))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 3)) |
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 x 1/2) y)) 2/3) 3))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y))))) |
(/.f64 1 (cos.f64 (*.f64 (*.f64 (/.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))) |
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 1/6) 2) 3))) |
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))) |
(/.f64 1 (cos.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x 1/2) y)) 1/3)) 3))) |
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 2) 1/6) 3))) |
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1/2 y))))) |
(/.f64 1 (cos.f64 (*.f64 (*.f64 (/.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))) |
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)))) |
(log1p.f64 (fma.f64 1/8 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (E.f64)) (expm1.f64 1))) |
(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
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(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/18) (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 5/6))) 3) 3))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) |
(/.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y)))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y))))) (sin.f64 1)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) 9)) 3) 3))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (*.f64 y 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (*.f64 y 2))))))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))) 3))) 3))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (*.f64 (pow.f64 1 1/3) (*.f64 (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))) 3) (cbrt.f64 1/2))) 3))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/18) 4) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))) 3) 3))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (sin.f64 1)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 x (/.f64 1/2 y)))))))) |
(/.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))))))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) 3))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))))) |
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 x (*.f64 y 2)))))) (sqrt.f64 (log.f64 (log1p.f64 (/.f64 x (*.f64 y 2))))))))))) |
(log1p.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))))))) |
(/.f64 (sqrt.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 (/.f64 x y))))))) 2)) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (sin.f64 1))))) 3))) |
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sqrt.f64 (pow.f64 (-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x 1/2) y)))) (sin.f64 1))) 2))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/18) 4)) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))) (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 1/18) 4)))) 3) 3))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y)))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))))))) 3) 3))))) |
(/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x (/.f64 1/2 y))) 2)) (sqrt.f64 (pow.f64 (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))) (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))) 2))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (exp.f64 (*.f64 (log.f64 (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))) (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 (/.f64 (*.f64 x 1/2) y)))))))) 3))) |
| Outputs |
|---|
(/.f64 1 (cos.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 1/2)) 3))) |
1 |
8 calls:
| 589.0ms | (*.f64 y 2) |
| 374.0ms | (/.f64 x (*.f64 y 2)) |
| 288.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 274.0ms | (*.f64 y 2) |
| 261.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| Error | Segments | Branch |
|---|---|---|
| 26.2b | 1 | x |
| 26.2b | 1 | y |
| 25.1b | 2 | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 25.1b | 2 | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 26.2b | 1 | (/.f64 x (*.f64 y 2)) |
| 26.2b | 1 | (/.f64 x (*.f64 y 2)) |
| 26.2b | 1 | (*.f64 y 2) |
| 26.2b | 1 | (*.f64 y 2) |
Compiled 3858 to 2991 computations (22.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 21.09483771857513 | 26.456706270411004 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
1 |
1 |
(*.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y)))) |
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8) 1) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(/.f64 1 (-.f64 (+.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)) |
(/.f64 1 (fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1)) |
(/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)) |
(/.f64 1 (fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1)) |
(-.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1) |
(/.f64 1 (-.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)) |
(/.f64 (*.f64 (/.f64 1/2 y) x) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(*.f64 (/.f64 1 (sin.f64 (/.f64 (*.f64 x 1/2) y))) (tan.f64 (/.f64 (*.f64 x 1/2) y))) |
(/.f64 (+.f64 0 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) |
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -2) |
(pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -3) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) |
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -3)) |
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2)) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) |
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -3)) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3)) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) |
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) y))))) |
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y)))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) |
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y)))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) |
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 3)) |
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3)))) |
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3) |
(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3))) |
(/.f64 1 (sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 2))) |
(pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 3) |
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3)) |
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3)))) |
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3) |
(/.f64 1 (cos.f64 (sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 y x) 2))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3)) |
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2))) |
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3))) |
(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) 3))) |
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3)) |
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 3)) |
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3) |
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3)))) |
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 x y))) 2))) |
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 x y))) 3))) |
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 3) |
(/.f64 1 (cos.f64 (*.f64 (*.f64 (/.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x)))) |
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 x 1/2) (sqrt.f64 y)) (sqrt.f64 y)))) |
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x 1/2) y) 1/3) 3))) |
(/.f64 1 (cos.f64 (*.f64 (*.f64 (/.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x)))) |
(/.f64 1 (cos.f64 (/.f64 (/.f64 (*.f64 1/2 x) (sqrt.f64 y)) (sqrt.f64 y)))) |
(/.f64 1 (cos.f64 (pow.f64 (pow.f64 (*.f64 1/2 (/.f64 x y)) 3) 1/3))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2))))))) |
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 y (*.f64 x 1/2)))) 3))) |
(/.f64 1 (cos.f64 (*.f64 (*.f64 x (sqrt.f64 (/.f64 1/2 y))) (sqrt.f64 (/.f64 1/2 y))))) |
(/.f64 1 (cos.f64 (exp.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 (*.f64 1/2 x) y))) 3/2)))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 x (cbrt.f64 (*.f64 y y))) (/.f64 1/2 (cbrt.f64 y))))) |
(/.f64 1 (cos.f64 (exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 1/2 x) y))) 1/3)))) |
(/.f64 1 (log.f64 (exp.f64 (-.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)))) |
(/.f64 1 (cos.f64 (*.f64 (*.f64 x (cbrt.f64 (/.f64 1/4 (*.f64 y y)))) (cbrt.f64 (/.f64 1/2 y))))) |
(/.f64 1 (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1/2 x) y) 5/6) (pow.f64 (/.f64 (*.f64 1/2 x) y) 1/6)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (fma.f64 (pow.f64 (/.f64 x y) 3) -1/48 (*.f64 (/.f64 1/2 y) x))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (expm1.f64 (/.f64 1/2 (/.f64 y x))))))) |
(/.f64 1 (cos.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 1/2 y)) (cbrt.f64 x)) 3))) |
(/.f64 1 (cos.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 y)) 3))) |
| Outputs |
|---|
(/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3))) |
1 |
8 calls:
| 140.0ms | (*.f64 y 2) |
| 137.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 126.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 99.0ms | (/.f64 x (*.f64 y 2)) |
| 90.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 26.2b | 1 | x |
| 26.2b | 1 | y |
| 25.1b | 2 | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 25.1b | 2 | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 26.2b | 1 | (/.f64 x (*.f64 y 2)) |
| 26.2b | 1 | (/.f64 x (*.f64 y 2)) |
| 26.2b | 1 | (*.f64 y 2) |
| 26.2b | 1 | (*.f64 y 2) |
Compiled 977 to 710 computations (27.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 21.09483771857513 | 26.456706270411004 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
1 |
1 |
(*.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y)))) |
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8) 1) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(/.f64 1 (-.f64 (+.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)) |
(/.f64 1 (fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1)) |
(/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)) |
(/.f64 1 (fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1)) |
(-.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1) |
(/.f64 1 (-.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)) |
(/.f64 (*.f64 (/.f64 1/2 y) x) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(*.f64 (/.f64 1 (sin.f64 (/.f64 (*.f64 x 1/2) y))) (tan.f64 (/.f64 (*.f64 x 1/2) y))) |
(/.f64 (+.f64 0 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) |
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -2) |
(pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -3) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) |
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -3)) |
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2)) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) |
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -3)) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3)) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) |
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) y))))) |
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y)))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) |
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y)))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) |
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) 3)) |
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3)))) |
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 (*.f64 1/2 x) y)))) 3) |
(/.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 3))) |
(/.f64 1 (sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) 2))) |
(pow.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y)))) 3) |
(/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 3)) |
(/.f64 1 (cos.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/2 y)) 3)))) |
(pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))))) 3) |
(/.f64 1 (cos.f64 (sqrt.f64 (/.f64 1/4 (pow.f64 (/.f64 y x) 2))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) 3)) |
(/.f64 1 (cos.f64 (pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/2 y))) 2))) |
| Outputs |
|---|
(/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
1 |
8 calls:
| 56.0ms | y |
| 51.0ms | (/.f64 x (*.f64 y 2)) |
| 29.0ms | (*.f64 y 2) |
| 29.0ms | (*.f64 y 2) |
| 28.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 26.4b | 1 | x |
| 26.4b | 1 | y |
| 25.3b | 2 | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 25.3b | 2 | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 26.4b | 1 | (/.f64 x (*.f64 y 2)) |
| 26.4b | 1 | (/.f64 x (*.f64 y 2)) |
| 26.4b | 1 | (*.f64 y 2) |
| 26.4b | 1 | (*.f64 y 2) |
Compiled 623 to 446 computations (28.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 21.09483771857513 | 26.456706270411004 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
1 |
1 |
(*.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y)))) |
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
(+.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 1/8) 1) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/8 1) |
(fma.f64 1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(/.f64 1 (-.f64 (+.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y)))) 1)) |
(/.f64 1 (fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1)) |
(/.f64 1 (fma.f64 -1/8 (*.f64 (/.f64 x y) (/.f64 x y)) 1)) |
(/.f64 1 (fma.f64 -1/8 (*.f64 x (/.f64 x (*.f64 y y))) 1)) |
(-.f64 (+.f64 1 (/.f64 1 (cos.f64 (*.f64 x (/.f64 1/2 y))))) 1) |
(/.f64 1 (-.f64 (+.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1)) |
(/.f64 (*.f64 (/.f64 1/2 y) x) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (*.f64 1/2 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (*.f64 (/.f64 1/2 y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(*.f64 (/.f64 1 (sin.f64 (/.f64 (*.f64 x 1/2) y))) (tan.f64 (/.f64 (*.f64 x 1/2) y))) |
(/.f64 (+.f64 0 (tan.f64 (*.f64 x (/.f64 1/2 y)))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
(*.f64 (/.f64 1 (sin.f64 (*.f64 x (/.f64 1/2 y)))) (tan.f64 (*.f64 x (/.f64 1/2 y)))) |
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -2) |
(pow.f64 (cbrt.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))) -3) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) |
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x 1/2) y)) -3)) |
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 1/2 (/.f64 y x))) -2)) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -2)) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) |
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (/.f64 x y))) -3)) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 1/2 y)))))) |
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -3)) |
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 1/2 y))) -2)) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) |
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 1/2 x) y))))) |
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/2 y)))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))))) |
(/.f64 1 (log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) |
(/.f64 1 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 x y)))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 (/.f64 (*.f64 x 1/2) y))))) |
| Outputs |
|---|
(/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) |
1 |
8 calls:
| 59.0ms | (/.f64 x (*.f64 y 2)) |
| 24.0ms | y |
| 23.0ms | (*.f64 y 2) |
| 22.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 20.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 26.4b | 1 | x |
| 26.4b | 1 | y |
| 25.3b | 2 | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 25.3b | 2 | (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) |
| 26.4b | 1 | (/.f64 x (*.f64 y 2)) |
| 26.4b | 1 | (/.f64 x (*.f64 y 2)) |
| 26.4b | 1 | (*.f64 y 2) |
| 26.4b | 1 | (*.f64 y 2) |
Compiled 471 to 328 computations (30.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 21.09483771857513 | 26.456706270411004 |
Compiled 20 to 15 computations (25% saved)
| Inputs |
|---|
1 |
1 |
(*.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y)))) |
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
(/.f64 1 (cos.f64 (*.f64 (/.f64 1/2 y) x))) |
| Outputs |
|---|
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
2 calls:
| 4.0ms | x |
| 4.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 26.5b | 1 | x |
| 26.5b | 1 | y |
Compiled 35 to 25 computations (28.6% saved)
Total -35.6b remaining (-132%)
Threshold costs -35.6b (-132%)
| Inputs |
|---|
1 |
1 |
(*.f64 x (*.f64 x (/.f64 1/8 (*.f64 y y)))) |
| Outputs |
|---|
1 |
2 calls:
| 4.0ms | y |
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 26.9b | 1 | x |
| 26.9b | 1 | y |
Compiled 19 to 13 computations (31.6% saved)
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 181 |
| 1 | 48 | 181 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 25) (/.f64 1 (cos.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 1/2)) 3))) 1) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 25) (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3))) 1) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 25) (/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 25) (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1) |
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
1 |
| Outputs |
|---|
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 25) (/.f64 1 (cos.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 1/2)) 3))) 1) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 25) (/.f64 1 (cos.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/2 y))) 3))) 1) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 25) (/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (/.f64 x y)))))) 1) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 25) (/.f64 1 (log1p.f64 (expm1.f64 (cos.f64 (*.f64 (/.f64 x y) 1/2))))) 1) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 25) (/.f64 1 (cos.f64 (*.f64 1/2 (/.f64 x y)))) 1) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2)))) 25) (/.f64 1 (cos.f64 (*.f64 (/.f64 x y) 1/2))) 1) |
(/.f64 1 (cos.f64 (/.f64 1/2 (/.f64 y x)))) |
1 |
Compiled 130 to 104 computations (20% saved)
| 1× | egg-herbie |
| 797× | fma-neg_binary64 |
| 472× | unswap-sqr_binary64 |
| 470× | associate-*l/_binary64 |
| 318× | associate-*r/_binary64 |
| 296× | *-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 566 |
| 1 | 157 | 546 |
| 2 | 477 | 512 |
| 3 | 2095 | 498 |
| 4 | 5848 | 450 |
| 1× | node limit |
Compiled 87 to 67 computations (23% saved)
Compiled 120 to 92 computations (23.3% saved)
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